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Found this article after doing a quick deep-dive after this post from u/evilez:
https://www.reddit.com/UFOs/comments/1d33m4l/does_anybody_remember_what_podcast_this_was/
"Hello fine ladies and gentlemen! I remember listening to a podcast less than a year ago. The main subject of the podcast was UFOs (I think)... anyways the guest told a story that a congressman or senator wrote a bill that was against the CIA or going to defund the CIA, in the 80's... and shortly thereafter, someone broke into his home, dragged his wife out into the street and stuck a gun in her mouth and told her to kill the bill."
Some light Googling brought up this article about the history of the CIA, the OSS, and Daniel Patrick Moynihan's attempts at defunding the agency in the 90s.
Here's an article about that attempt brought by Moynihan published on the Carnegie Endowment Website on December 20, 2005.
https://carnegieendowment.org/posts/2005/12/the-case-for-abolishing-the-cia?lang=en
Here's the New Yorker piece about all of this from October 3rd, 2022.

Spooked -- What’s wrong with the C.I.A.? -- By Amy Davidson Sorkin -- October 3, 2022

https://www.newyorker.com/magazine/2022/10/10/has-the-cia-done-more-harm-than-good
According to the article regarding the resuscitation of the OSS as the CIA immediately following Roswell and the Twining Memo:
"Many of its officers moved straight to the new C.I.A. Most consequentially, perhaps, four future directors of the C.I.A. were O.S.S. veterans: Allen Dulles, Richard Helms, William Colby, and William Casey."
Here's the New Yorker article in full:
"On January 4, 1995, Senator Daniel Patrick Moynihan, of New York, introduced a bill called the Abolition of the Central Intelligence Agency Act. It had been a rough stretch for the C.I.A. The year before, Aldrich Ames, a longtime officer, had been convicted of being a longtime mole for Soviet (and then Russian) intelligence. Despite having a reputation among his colleagues as a problem drinker who appeared to live far beyond his means, Ames had been given high-level assignments with access to the names of American sources in the U.S.S.R. When the F.B.I. finally arrested him, he was in the Jaguar he used for commuting to work at Langley; by then, he was responsible for the death of at least ten agents. Moynihan said that the case was such a flamboyant display of incompetence that it might actually be a distraction from “the most fundamental defects of the C.I.A.” He meant that the agency—in what he considered to be its “defining failure”—had both missed the fact that the Soviet Union was on the verge of collapse and done little to hasten its end.
He gave a diagnosis for what had gone wrong. “Secrecy keeps mistakes secret,” he said. “Secrecy is a disease. It causes a hardening of the arteries of the mind.” He quoted John le Carré on that point, adding that the best information actually came from the likes of area specialists, diplomats, historians, and journalists. If the C.I.A. was disbanded, he said, the State Department could pick up the intelligence work, and do a better job.
Moynihan was, in some respects, being disingenuous. As he well knew, even if his bill had passed, spies and spying wouldn’t have gone away. The State Department already had its own mini agency, the Bureau of Intelligence and Research. The Departments of Energy and Treasury each had one, too. The Defense Intelligence Agency conducted clandestine operations; U.S. Army Intelligence, Air Force Intelligence, and the Office of Naval Intelligence kept themselves busy as well. The National Security Agency was nearly two decades away from the revelation, by Edward Snowden, a contractor and a former C.I.A. employee, that it had collected information about the phone calls of most Americans, but it was a behemoth even in Moynihan’s time. So was the Federal Bureau of Investigation. There were about a dozen agencies then; now, after reforms that were supposed to streamline things, there are eighteen, including the Office of the Director of National Intelligence (O.D.N.I.), a sort of meta-C.I.A. that has a couple of thousand employees, and the Department of Homeland Security’s Office of Intelligence and Analysis. The Drug Enforcement Administration (which currently has foreign offices in sixty-nine countries) has an Office of National Security Intelligence. Four million people in the United States now have security clearances.
It can be hard to sort out which agencies do what; players in the espionage business aren’t always good with boundaries. Both the C.I.A. and the N.S.A. make use of satellite resources, including commercial ones, but there is a separate agency in charge of a spy-satellite fleet, the National Reconnaissance Office—not to be confused with the National Geospatial-Intelligence Agency, which deals with both space-based and ground-level imaging, or with Space Delta 18, the nation’s newest intelligence agency, which is attached to the Space Force. Abolishing the C.I.A. might do nothing more than reconfigure the turf wars.
[NOTE: both Sean Kirkpatrick and David Grusch worked for the NRO and at least Grusch worked for the NGA]
As the senator from New York also knew, a large proportion of the C.I.A.’s resources are devoted not to intelligence gathering but to covert operations, some of which look like military operations. In “Spies, Lies, and Algorithms: The History and Future of American Intelligence” (Princeton)—one of several recent books that coincide with the seventy-fifth anniversary of the agency’s founding—Amy B. Zegart, a political scientist at Stanford, writes that it’s “getting harder to know just where the CIA’s role ends and the military’s role begins.” Yet the agency’s paramilitary pursuits and related covert activities go back decades. They include the botched Bay of Pigs landing, the brutal Phoenix Program in Vietnam, and a long list of assassination attempts, coup plots, the mining of a harbor (with explosive devices the agency built itself), and drone strikes. These operations have very seldom ended well.
Moynihan’s bill had no more luck than another that he introduced the same day, aimed at ending Major League Baseball’s exemption from antitrust laws. In each case, people understood that there was a problem, but both institutions were protected by the sense that there was something essential, and perhaps authentically American, about them, including their very brokenness. A sudden turn of events can convince even the C.I.A.’s most sober critics that the agency will save us all, whether from terrorists or from Donald Trump. But, seventy-five years in, it’s far from clear whether the C.I.A. is good at its job, or what that job is or should be, or how we could get rid of the agency if we wanted to.
How did we end up with the C.I.A.? A familiar explanation is that the shock of Pearl Harbor made the United States realize it needed more spies; the Office of Strategic Services was formed and jumped into action; and, when the war ended, the O.S.S. evolved seamlessly into the C.I.A., ready to go out and win the Cold War. But that narrative isn’t quite right, particularly regarding the relationship between the O.S.S. and the C.I.A.
[NOTE: We know how ended up with the CIA. ROSWELL.]
The United States has always used spies of some sort. George Washington had a discretionary espionage budget for which he didn’t have to turn in receipts. In the early part of the twentieth century, the State Department had an intelligence-analysis unit, along with a cryptography group called the Black Chamber, which operated out of a brownstone in New York’s Murray Hill until it was shut down, in 1929. The Army and the Navy had cryptography and reconnaissance units, too. When the Second World War began, their operations ramped up dramatically, and, as Nicholas Reynolds recounts in “Need to Know: World War II and the Rise of American Intelligence” (Mariner), these units, not the O.S.S., handled most of the code-breaking. The problem became the volume of raw intelligence. The task of making sense of it and of turning it into something that policymakers could use went to an office within the Army’s military-intelligence division (or G-2), which, Reynolds says, produced “the country’s best strategic intelligence” during the war. That office’s work was directed by Alfred McCormack, a former clerk for Supreme Court Justice Harlan Stone and a partner at Cravath, Swaine & Moore. Many of the people he brought in were young corporate lawyers; the theory was that their training in plowing through mountains of documents made them ideal intelligence analysts.
William J. Donovan, who led and largely conceived of the O.S.S., was also a Wall Street lawyer, but one with an aversion to the “legalistic.” What Donovan envisioned was essentially an array of commando units that would operate stealthily and behind enemy lines. In practice, what he tried to build, according to a colleague, was a “private army.” His escapades often risked too much and gained too little. In late 1943, one of his own officers wrote to him that “the set-up has been incredibly wasteful in manpower and, except for a few spotty accomplishments, has been a national failure.” And it had produced “chaos in the field.” Donovan’s nickname was Wild Bill, but his staff called him Seabiscuit, after the thoroughbred, because of his tendency to race around, engaging in what was basically war tourism. In the end, though, the O.S.S. made real contributions, including through its contacts with the French Resistance. But Donovan’s complaint about D Day was that there was “too much planning.” Counterintelligence and strategic thinking bored him, and the O.S.S.’s analysis division was seen as secondary to its operations.
When Harry Truman became President, in April, 1945, he took a look at the O.S.S. and, in September, 1945, abolished it. About two years later, he signed the National Security Act, which established the C.I.A. (and the Department of Defense), but he didn’t want the new agency to be like the group Donovan had run. Instead, it was supposed to do what its name suggested: centralize the intelligence that various agencies gathered, analyze it, and turn it into something the President could use.
[NOTE: I tried doing some research after reading something yesterday about how the NSA was developed in 1952 under Project Sigma to try and decode "alien" communications. If anyone can offer anything, you'd be helping humanity.]
“It was not intended as a ‘Cloak and Dagger’ Outfit!,” Truman later wrote. He also had to deal with public apprehensions that he might create what a Chicago Tribune headline called a “Super Gestapo Agency”—which is why, in its charter, the C.I.A. was banned from domestic spying.
Reynolds’s book is the best of the recent batch, and the most readable. It does not retrofit the history of the O.S.S. around the assumption that the C.I.A. was the inevitable lead postwar intelligence agency. There were other contenders, including a version of McCormack’s office in the State Department—something like what Moynihan wanted. J. Edgar Hoover argued that “World Wide Intelligence” should be turned over to the F.B.I., with military intelligence subservient to him. In some alternative history, he might have pulled that off; by 1943, he was running undercover operations in twenty Latin American countries. And so things could have been worse.
[WHAT UNDERCOVER OPERATIONS WERE WE RUNNING IN LATIN AMERICANS COUNTRIES IN 1943.]
Donovan was an adept publicist, but what mattered most, in the end, was that he was good, or lucky, when it came to hiring people. Despite the “pale, male, and Yale” stereotype, the O.S.S. was somewhat more diverse than other units, and certainly more eclectic. Among its ranks were Ralph Bunche, Herbert Marcuse, and Julia Child. Many of its officers moved straight to the new C.I.A. Most consequentially, perhaps, four future directors of the C.I.A. were O.S.S. veterans: Allen Dulles, Richard Helms, William Colby, and William Casey. Each seems to have had glory-day memories of the O.S.S., which is to say that each, in various ways, was afflicted with what a general in Army intelligence called “the screwball Donovan effect.” Casey, who put a picture of Donovan on his wall, said of his old boss, “We all glowed in his presence.” Wild Bill lost the bureaucratic fight but won the personnel and mythology wars.
And, of course, the agency found customers and collaborators in the White House. There was no mention of covert action in the law that chartered the C.I.A., but Presidents—starting with Truman—began using it that way. One of the agency’s first operations involved meddling in the 1948 Italian election, to insure the victory of the Christian Democrats. The subsidies and outright bribery of Italian politicians, some of them on the far, far right, continued into the nineteen-seventies.
Almost from its creation, though, there was a sense that something about the C.I.A. was off. The split between covert action and intelligence gathering and analysis was part of it. The director of the agency was also supposed to be the leader of U.S. intelligence as a whole, but, invariably, the person in the job seemed more invested in preëminence than in coördination. That setup remained in place until the establishment of the O.D.N.I., in 2004, a move that thus far has mostly continued a tradition of trying to deal with the C.I.A.’s dysfunction by setting up ever more agencies, offices, and centers. (The N.S.A. was established, in 1952, in response to a series of cryptography-related failures.) “Legacy of Ashes,” Tim Weiner’s 2008 history of the C.I.A.—and still an invaluable overview—takes its title from a lament by Eisenhower about what he’d be leaving his successors if the “faulty” structure of American intelligence wasn’t changed. Since Weiner’s book was published, the ashes, and the agencies, have only been piling up.
Zegart’s “Spies, Lies, and Algorithms” aims to bring that history to the present. Zegart has served as an adviser to intelligence agencies, and she provides a decent guide to our current bureaucracy. Throughout, her book is clear and well organized—maybe a little too well organized, one feels, after taking in the “Seven Deadly Biases” of intelligence analysis, the “Four Main Adversaries” and the “Five Types of Attack” in the crypto area, and the “Three Words, Four Types” that define covert action. (The covert-action words, incidentally, are “influence,” “acknowledged,” and “abroad.”) Not a few paragraphs read like PowerPoint charts; contradictions are displayed without really being reckoned with. She observes that the balance between “hunting” and “gathering” seems off, but, in her telling, the fact that Presidents of both parties regularly turn to the C.I.A. for paramilitary and other covert tasks constitutes proof that doing so is part of the order of things. The impression she leaves is that if it all goes wrong, it’s because some checklist has been missed. One of the top priorities of U.S. intelligence today, she thinks, should be persuading tech companies to get with the program and help out. She moots the creation of yet another agency, to deal with OSINT—open-source intelligence.
In one chapter, Zegart provides a list of scandals involving spying within the U.S. by various intelligence agencies—notably the N.S.A., the F.B.I., and the C.I.A. “All of these activities violated American law,” she writes. “But that’s the point: domestic laws forbid this kind of surveillance of Americans.” How is that the point, exactly? She depicts the Senate’s 2014 Torture Report, which detailed profound abuses in the C.I.A.’s so-called black sites, as a they-said, the-agency-said, who-knows case. She turns it into a parable about the problems with Congress—suggesting that, although the committee structure may have needed rejiggering, the moral compass of those involved in the program of torture was just fine.
Another new volume, “A Question of Standing: A History of the CIA” (Oxford), by Rhodri Jeffreys-Jones, a professor emeritus of history at the University of Edinburgh, offers the insights of a more distant observer. He can be astute about how “false memories” of the O.S.S.’s accomplishments have led the C.I.A. astray. Part of his argument is that the agency has acted as if its influence depended on its standing with whoever is in the White House, thus motivating it to offer Presidents quick fixes that fix nothing. The net effect is to reduce its standing, and that of the U.S., with the public at home and abroad. But Jeffreys-Jones is prone to rash generalizations and pronouncements. He theorizes that, in the run-up to the 2003 invasion of Iraq, George W. Bush’s national-security adviser, Condoleezza Rice, may have been susceptible to “war mongering” due to her status as “a descendant of slaves,” and that the working-class background of the C.I.A.’s director, George Tenet, made him more likely to vouch for the faulty intelligence on weapons of mass destruction used to justify the war. “Social mobility so often leads to conformity,” warns Jeffreys-Jones, himself the son of an academic historian.
During the Vietnam War, the C.I.A. had discouraging intelligence to offer, and, when successive Administrations didn’t want to hear it, focussed on being helpful by providing those supposedly quick fixes. That meant abetting a coup in 1963, spying on antiwar protesters, and launching the Phoenix Program, an anti-Vietcong campaign marked by torture and by arbitrary executions; in total, more than twenty thousand people were killed under Phoenix’s auspices.
Phoenix was run by William Colby, the O.S.S. alum, who was soon promoted to C.I.A. director. At lower levels, discontent about Vietnam fueled leaks. In December, 1974, the journalist Seymour Hersh told the agency that he was about to publish a story in the Times exposing its domestic spying. Whether in a miscalculation or (as Jeffreys-Jones somewhat breathlessly speculates) as an act of personal expiation, Colby gave Hersh partial confirmation. Amid the scandals and the Congressional hearings that followed, Colby angered some of his colleagues, and Henry Kissinger, by laying bare even more. It emerged that, in 1973, Colby’s predecessor had asked senior agency officials to produce a list of things the C.I.A. had done that might have been unlawful. The resulting document, covering just the prior fifteen years, was known in-house as “The Family Jewels,” and was almost seven hundred pages long.
The question of how much it matters who works at the C.I.A. is a perennial one. The influence of Donovan’s acolytes shows that decisions about whom you recruit can, in a formative period or at a critical juncture, make a big difference. But, once an institutional culture has become entrenched, it can be easier to see how the institution shapes the people within it than vice versa.
“Wise Gals: The Spies Who Built the CIA and Changed the Future of Espionage” (Putnam), by Nathalia Holt, comes at the question from a different angle. It’s about five women who worked for the early C.I.A.; three also worked at the O.S.S., and one, Eloise Page, began her career as Bill Donovan’s secretary. Holt is also the author of “Rise of the Rocket Girls,” about women in the early years of the Jet Propulsion Laboratory, and “The Queens of Animation,” about women at the Walt Disney Company. Her book contains fine material for a beautifully art-directed streaming series, with set pieces in postwar Paris, nineteen-fifties Baghdad, and nineteen-seventies Greece, where Page was the C.I.A.’s first woman station chief. It even has a framing device in the form of the “Petticoat Panel,” a working group of C.I.A. women that convened in 1953 to document their unequal pay and treatment. Holt quotes the transcript of the meeting at which the leadership of the agency summarily rejected their findings. Helms, the future director, says, “It is just nonsense for these gals to come on here and think that the government is going to fall apart because their brains aren’t going to be used to the maximum.” (In 1977, Helms was convicted of lying to Congress about the C.I.A.’s machinations in Chile.) What the book is not, unfortunately, is a coherent history of the C.I.A., of the era it depicts, or even of these women’s work.
Holt’s research does turn up evidence that Jane Burrell, one of her subjects, was the first C.I.A. officer to die in the line of duty, in a plane crash in France, in 1948, a fact that the agency itself apparently missed. Holt ends her book with a call for a star honoring Burrell to be added to the C.I.A.’s memorial wall. Of the hundred and thirty-seven officers represented there, she writes, forty-five died accidentally, the majority in plane crashes, meaning that Burrell’s case would be fairly typical. Burrell was on the return leg of a trip to Brussels, where she’d been sent to talk to war-crimes investigators about a mess the C.I.A. had created by relying on an agent who turned out to have worked with the S.S. and was now in custody. In that respect, too, Burrell, who had personally handled the agent, was typical of the C.I.A. (After Burrell vouched for him, the man was released.) The subject of the C.I.A.’s postwar relations with former Nazis—some of whom, like Reinhard Gehlen, it helped to install in West Germany’s new intelligence service—and with collaborationist émigré groups is, no doubt, a morass. Holt, alas, manages to make the story even more garbled than it has to be. In the end, she basically treats the whole sordid episode as a learning experience for the Gals.
The problem is that the agency doesn’t seem to learn much. Holt credits Mary Hutchison with helping to build a network of émigré Ukrainian nationalists. Beginning in 1949, the agency parachuted some of them (including one whom Hutchison apparently distrusted) behind the Soviet border, where they were quickly captured—and repeated the same procedure for a number of years. “Despite the catastrophe, the Ukraine operation would serve as a template moving forward,” Holt writes. “The C.I.A. had more success with back-to-back operations in Iran and Guatemala, where covert action was able to deftly oust leaders considered undesirable.” It’s odd to describe these coups as deft. One of Zegart’s handy lists is of the “unintended consequences” in Iran: “religious extremism, a revolutionary overthrow, the American hostage crisis, severed ties, regional instability, and today’s rising nuclear dangers.” Guatemala is still dealing with the violent legacy of the coup that the C.I.A. visited upon it. Then there’s the question of the intended consequences, which were, respectively, to elevate a shah and a military regime. Secret wars tend not to be so secret in the country where they take place.
It was, no doubt, frustrating for Hutchison when, a few years later, her colleagues on the Bay of Pigs task force failed to make use of her Spanish-language skills. But are we supposed to think that the whole misconceived enterprise would have gone off without a hitch were it not for the C.I.A.’s misogyny? One of Holt’s minor themes is that women in the C.I.A. were seen as more natural analysts than operatives—with analysis, in turn, seen as less manly, and less valuable, to everybody’s detriment. But she is more intent on showing that these women were also daring. The main point of “Wise Gals” is that it’s cool that women were in the early C.I.A., and therefore that the C.I.A. itself was cooler than we’d realized. Holt celebrates a big promotion Page got that afforded her access to the secret of a safe containing shellfish-derived poison. You don’t have to be pale, male, and Yale to be complicit in a bungled assassination plot, or, for that matter, a program of rendition and torture.
Why do so many books about the C.I.A. have trouble getting their story straight? It can’t just be the secrecy of the work itself, at least with regard to the earlier years, about which much has been declassified. (Much remains under wraps: Moynihan complained that classification created more than six million supposed secrets in 1993; Zegart writes that the number in 2016 was fifty-five million—not all of which can possibly have been critical.) The aura of secrecy, by contrast, probably does distort the judgment of its chroniclers. And the scope of the agency’s work is a challenge: it’s hard to write expertly on places as far-ranging as the Democratic Republic of Congo (where the agency initially planned to poison President Patrice Lumumba’s toothpaste, and instead ended up handing a quarter of a million dollars to Joseph Mobutu, the country’s future dictator, who facilitated the assassination) and Afghanistan (where the C.I.A. has had forty years of illusory gains and worse losses). But the biggest problem may be the agency’s own pattern of self-deception. Holt, for example, sometimes seems to go wrong when, rummaging through the archives, she gives too much credit to contemporaneous internal assessments of an agent’s or an operation’s worth.
In truth, the C.I.A. has had a “defining failure” for every decade of its existence—sometimes more than one. For Moynihan, in the nineteen-nineties, it was the lack of foresight about the Soviet Union; in the two-thousands, it was the phantom weapons of mass destruction, followed by torture and, in still evolving ways, by the drone-based program of targeted killings, with its high toll of civilian deaths. Barack Obama’s rapport with John Brennan, the C.I.A.’s director from 2013 to 2017, seems to have brought him to accept the view that the killing of American citizens abroad was acceptable, if managed prudently. The overuse of the agency on the battlefield is due not to a military-manpower shortage but to wishful thinking about the benefits of secrecy and of a lack of accountability.
It’s difficult to know, at this point, what the C.I.A.’s next defining failure—or, if one tries to be optimistic, its stabilizing success—will be. Donald Trump has had a complicated relationship with the intelligence community—increasingly capitalized and abbreviated to I.C.—which is presently conducting a damage assessment regarding documents with classified markings that he kept at Mar-a-Lago, his Florida home. He might, of course, be reëlected, and have the C.I.A.’s tools at his disposal again. If the C.I.A. isn’t the place to turn for an expedient solution to foreign-policy problems, neither is it bound to be the place to turn for a solution to our democracy’s political problems.
“If you ask intelligence officers what misperceptions bother them most, odds are they’ll mention ethics,” Zegart writes. She quotes an official who complains that “people think we’re lawbreakers, we’re human rights violators.” She insists that “officers think about ethics a lot.” She portrays the agency as being filled with hardworking moms and dads who do a great deal of “agonizing.” No doubt she’s right. But if the C.I.A. keeps falling down all the same, something must be tragically amiss in the agency’s structure or culture, or both. All the talk of coups and assassination plots, Zegart worries, distracts people from understanding the C.I.A.’s more basic intelligence mission. In fact, the party most distracted by such activities—and by the military role it has taken on—seems to be the agency itself. ♦
An earlier version of this article misstated the numerical designation of the Space Force unit dedicated to intelligence.
Published in the print edition of the October 10, 2022, issue.

Im sick of hearing "primacy but not supremacy" its the same thing primacy is defined as "the fact of being primary, preeminent, or more important." and is even used in 1960s Catholic theology books. Affirming papal primacy doesn't go with eastern orthodox theology. Also eastern orthodox can cope with "First among equal!" or "Extra honor but no extra authority!" that's completely wrong to the early church and first among equals isnt a good term, if i were always first at something i would be more supreme then another. In regards to the early church Heres some references, Quoted in “Athanasius Quoted works” page 110 Pope Julius Letter to the eusebians at Antioch “And why is nothing said to us (The Apostolic see) concerning the Alexandrians in particular, are you ignorant that the custom has been for word to be written first to us and then for a just decision to be passed from this place” so he is saying in the matter of disputes matter should be brought to the see of Rome as to make a judgment and this is the east he is speaking to not just his patriarchal territories. Then he goes on and says “I beseech you readily bare with me what i write is for the common good, for what we have received from the Blessed apostle Peter that i signify unto you and i should have not written this as deeming that these things should be manifest unto all men had not these proceedings so disturbed us”
some might say this is peter syndrome where we get all giddy and excited when peter is mentioned and Rome is mentioned but i would like to say Pope Julius said he has received something from the Blessed apostle Peter that disputes in the east should be brought to his judgment to be settled.
Now from the writings of the early Church Historian sozomen source: Volume 2 of the nicene and post nicene fathers second series. Book 3 Chapter 10. Heres what he says about this whole affair of Pope Julius writing to the antiochians and what he ment in that segment “the bishops of Egypt having sent the declaration in writing, that these allegations were false and julius having been apprised (to give information to someone) that Athanasius was far from being in safety in egypt send for him to his own city he replied at the same time to the letter of the bishops who were convened at antioch (convened: to bring together a group of people for a meeting, or to meet for a meeting) for just then he happened to receive the epistle and accused them of having planned clandestinely(in a secretive and illicit way.) introduced innovations Contrary to the nicene dogmas and of having violated the laws of the church by neglecting to invite him to join their synod for he alleged that is a sacral Canon which declares that whatever is enacted contrary to the bishop of Rome is null."
Now from Nicea II Pope Hadrians Letter
‘Stand firm; for if you abide with perseverance in the orthodox Faith in which you have begun and so through you the sacred and venerable images are restored in those regions to their former state—just as the lord and emperor Constantine of pious memory and blessed Helena, who promulgated the orthodox Faith, raised up the holy, catholic, and apostolic church of Rome as your spiritual mother, and with the other orthodox emperors venerated it as the head of all the churches...'"
"...of all the churches... If, moreover, following the traditions of the orthodox faith, you embrace the judgment of the church of the blessed Peter prince of the apostles and, as the holy emperors your predecessors did of old, so you too venerate it with honor and love his vicar from the depths of your hearts, or rather if your rule granted by God follows their orthodox faith in accordance with our holy Roman church, the prince of the apostles, to whom was given by the Lord God the power to bind and to loose sins in heaven and on earth."https://orthodoxchurchfathers.com/fathers/npnf214/npnf2258.html
the blessed Cyril, bishop of Alexandria, says: "That we may remain members of our apostolic head, the throne of the Roman Pontiffs, of whom it is our duty to seek what we are to believe and what we are to hold, venerating him, beseeching him above others; for his it is to reprove, to correct, to appoint, to loose, and to bind in place of Him Who set up that very throne, and Who gave the fulness of His own to no other, but to him alone, to whom by divine right all bow the head, and the primates of the world are obedient as to our Lord Jesus Christ Himself.
St. Damasus, Pope of Rome (A.D. 304-384)
“Although the catholic churches diffused throughout the world are one bridal chamber of Christ, yet the holy Roman church has been preferred to all other churches, not by any synodical decrees, but has obtained the primacy by the voice of our Lord and Savior in the gospel, saying: ‘You are Peter, and upon this rock I will build My church, and the gates of hell will never prevail against it; and I will give to you the keys of the kingdom of heaven, and whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven…..Therefore, the first see of Peter the Apostles is that of the Roman church, not having spot or wrinkle or any such thing” (Decree of Damasus, Roman Synod 382. Patrologia Latina 13.374; Jalland, T.G. (1944). Church and Papacy. London: Morehouse-Gorham Co. p. 255-57)
“For in view of our office there is no freedom for us, on whom a zeal for the Christian religion is incumbent greater than on all others, to dissimulate or to be silent. We bear the burdens of all who are oppressed, or rather the blessed apostle Peter, who in all things protects and preserves us, the heirs, as we trust, of his administration, bears them in us…[proceeds to list a number of errors being promoted in Tarragona (Spain)]… it is also inappropriate henceforth for you to deviate from that path, if you do not wish to be separated from our company by synodal sentence….Enough error on this matter! All priests who do not wish to be torn from the solidity of the apostolic rock, upon which Christ built the universal Church, should now hold the aforementioned rule…[lists more errors]…let them know that they have been expelled by the authority of the apostolic see from every ecclesiastical office, which they used unworthily…[lists more errors]… there is freedom for no priest of the Lord to be ignorant of the statutes of the apostolic see and the venerable decrees of the canons…” (Pope Siricius to Bishop Himerius of Tarragona 385 AD, Epistle 1, Directa Ad Decessorem. Patrologia Latina 13.1132; Ed. Pierre Coustant, Epistolae Romanorum pontificum (Paris, 1721; reprint Farnborough, 1967), 623-638.)
St. Innocent, Pope of Rome (401-417)
The reply of Pope St. Innocent in 417 to the Africans concerning their appeal on the controversy of Pelagius/Celestius goes like this:
“In making inquiry with respect to those things that should be treated with all solicitude by bishops, and especially by a true and just and Catholic Council, by preserving, as you have done, the example of ancient tradition, and by being mindful of ecclesiastical discipline, you have truly strengthened the vigour of our Faith, no less now in consulting us than before in passing sentence. For you decided that it was proper to refer to our judgement, knowing what is due to the Apostolic See, since all we who are set in this place, desire to follow the Apostle (Peter) from whom the very episcopate and whole authority of this name is derived. Following in his steps, we know how to condemn the evil and to approve the good. So also, you have by your sacerdotal office preserved the customs of the Fathers, and have not spurned that which they decreed by a divine and not human sentence, that whatsoever is done, even though it be in distant provinces, should not be ended without being brought to the knowledge of this See, [39] that by its authority the whole just pronouncement should be strengthened, and that from it all other Churches (like waters flowing from their natal source and flowing through the different regions of the world, the pure streams of one incorrupt head), should receive what they ought to enjoin, whom they ought to wash, and whom that water, worthy of pure bodies, should avoid as defiled with uncleansable filth. I congratulate you, therefore, dearest brethren, that you have directed letters to us by our brother and fellow-bishop Julius, and that, while caring for the Churches which you rule, you also show your solicitude for the well-being of all, and that you ask for a decree that shall profit all the Churches of the world at once; [40] so that the Church being established in her rules and confirmed by this decree of just pronouncement against such errors, may be unable to fear those men, etc.” (Pope Innocent I, Epistle 29, to the Council of Carthage (In requirendis). Jan 27, 417 AD. Patrologia Latina 33.780)
Pope St. Zosimus (AD 417)
Innocent’s successor, Pope Zosimus, continued to write letters to Africa concerning the same Pelagian issue:
“Although the tradition of the Fathers has attributed such great authority to the Apostolic See that no one would dare to disagree wholly with its judgment, and it has always preserved this [judgment] by canons and rules, and current ecclesiastical discipline up to this time by its laws pays the reverence which is due to the name of Peter, from whom it has itself descended …; since therefore Peter the head is of such great authority and he has confirmed the subsequent endeavors of all our ancestors, so that the Roman Church is fortified … by human as well as by divine laws, and it does not escape you that we rule its place and also hold power of the name itself, nevertheless you know, dearest brethren, and as priests you ought to know, although we have such great authority that no one can dare to retract from our decision, yet we have done nothing which we have not voluntarily referred to your notice by letters … not because we did not know what ought to be done, or would do anything which by going against the advantage of the Church, would be displeasing.…(From the epistle (12) “Quamvis Patrum traditio” to the African bishops, March 21, 418. Patrologia Latina 20. 676; Denzinger, H., & Rahner, K. (Eds.). (1954). The sources of Catholic dogma. (R. J. Deferrari, Trans.) (p. 47). St. Louis, MO: B. Herder Book Co.)
MG 54.743. Jerome: "I keep the unity in communion with your Beatitude, that is, with Peter's chair. I know that the Church has been built upon that rock." (Epist. 15.1, to Pope Damasus, ML 22.355).
The Roman See is the "Apostolic Chair" or the "Apostolic See." Augustine: "The sovereignty of the Apostolic Chair was always in the Roman Church" (Epist. 43, ML 33.163); "Apostolic See" (Serm. 131.10, ML 38.734).
The Roman Church presides as a sovereign over all the other churches. Gregory of Nazianzus: "It presides over all" (Poems, 2.1.12, MG 37.1068); Theodoret of Cyrus: "That most holy see holds in many ways the sovereignty over the churches of the entire world, especially because it kept immune of heretical corruption, and never a dissenter sat in it, but everyone
The Roman See is the source of all rights in the Church. Ambrose: "From that See derive into all the rights of the venerable communion." (Epist. 11.4, ML 16.986).
"Rome has spoken, the case is closed" ("Roma locuta est, causa finita est"). This famous axiom derives from Augustine saying about the debate on Pelagian heresy: "Concerning this question two conciliar decisions have been sent to the Apostolic See: also rescripts came from there, hence the trial is over." (Serm. 131.10, ML 38.734).
The Roman Pontiffs themselves constantly asserted their primacy, as is shown in the following summary of their doctrine.
They apply to themselves Christ's words to Peter, Matt 16.18 ff.: "Thou art Peter..." and John 21.15-17: "Feed My lambs..." Thus Siricius, Boniface I, the "Decree of Gelasius," Hormisdas, Pelagius I, Nicholas I (Denz. 184, 234, 350, 383, 446, 640).
Sure, here is the transcription of the text from the third image:
The Roman Pontiff is Peter's moral person. Siricius: "[The Roman Pontiff is] the apostolic rock." (Denz. 184). Innocent I: "Whenever a question of faith is dealt with, all must refer only to Peter, that is, to the one who bears his name and his honor." (Denz. 218). Leo I: "The blessed Peter did not leave the government which he received... In his See [that is, the Roman] his power is alive and his authority is visible." (Serm. 32 f., ML 54.145 f.).
Peter remains in his successors. See Leo I, just quoted. Philip, apostolic legate to the Council of Ephesus: Peter "is always living in his successors." (Denz. 3056).
The Roman Pontiff is "Peter's heir" (Siricius, Denz. 181) and has "Peter's See" (Leo I, quoted above; Gelasius, quoted below).
The Roman Pontiff has "the care of all the churches." (Innocent I, Denz. 218; Leo I, Serm. 5.2 ML 54.153). He is "the head of all the churches" (Boniface I, Denz. 233; "Decree of Gelasius," Denz. 350; Pelagius I, Denz. 446, 640).
The honor of writing the last Latin manual of Scholastic theology truly belongs to Emmanuel Doronzo (1903-1976), the eminent sacramental theologian of Catholic University of America (Washington, D.C.) in the mid-to-late 20th Century. He wrote a complete, traditional Scholastic, dogmatic manual in 1966, a year after the closing of Vatican II
The Science of Sacred Theology by Doronzo Emmanuel.
https://obrascatolicas.com/livros/Teologia/Doronzo%20The%20Science%20of%20Sacred%20Theology%20for%20Teacers%20Bk%204.pdf
https://www.patheos.com/blogs/davearmstrong/2018/02/papal-participation-in-the-first-seven-ecumenical-councils.html since i was reasearching constantinople I i had came across this: "This council also was convoked by an emperor, Theodosius I. [Ibid.] The language of his decree suggests he regarded the Roman see as a yardstick of Christian orthodoxy."
Pope Vigilius came to become Pope amid much turmoil in 537, as his predecessor, St Silverius, had been accused of treason, defrocked, and exiled by Belisarius, the general under Empress Theodora. Silverius had refused to re-instate the monophysite patriarch of Constantinople, whom Pope Agapetus had deposed — even here, a recognition of the canonical authority of Rome to depose and judge the other most prominent and important Sees of Christendom was something the Popes fought bitterly to maintain against the emperors.
Where was this canonical authority established? In fact, it was as old as the Church itself. When Athanasius had been exiled by a judgment of the Alexandrian Church, Pope Julius had written on his behalf (341): “Judgment ought to have been made, not as it was, but according to the ecclesiastical canon. It behoved you all to write us so that the justice of it might be seen as emanating from all.” Again: “Are you ignorant that the custom has been to write first to us and then for a just decision to be passed from this place [Rome]?” For Pope St Julius, the judgment of Athanasius which had not sought approval from Rome was a canonical novelty: “not thus are the constitutions of Paul, not thus the traditions of the Fathers. This is another form of procedure, and a novel practice.” However, the reference of judgment to the Apostolic See was something taught by the Apostle Peter: “For what we have heard from the Apostle Peter, these things I signify to you.”
Cope.

Hello,
once again i am here with a post about the RTE, Radiant Transfer Equation. Otherwise known as multiple scattering. I have made some great progress and managed to get mostly good results. The only issue i am aware of is conversation of energy. Reflections tend to be brighter than the emissive parts of the volume.
Here is what my RTE integrator produces rn;
https://preview.redd.it/3meww3bsk83d1.png?width=1868&format=png&auto=webp&s=15421aa797b586a21bee5e33c6d2b5484c86941b
Here is the ground truth, using blenders cycles with 9 volume steps;
https://preview.redd.it/tsgkwvx9k83d1.png?width=1750&format=png&auto=webp&s=1138ded4c3f133c2965f0976e3dad2defd899dd4
I am really not sure where this issue is supposed to come from. I can rule out some sort of scattering bias, so it has to be something in the math.
The issue becomes really apparent when the emissive volumes intersect denser parts. Like here;
Ignore the banding issue for now
Part of the issue might stem from how i derived the code. I basically copied Scratch Pixels post on single scattering and generalized it to Multiple scattering.
I think the issue comes down to how i add the emissive term. But idk.

function vector integrateRTE(vector rayOrig; vector rayDir) { //Primary Variables float dx = 0.1, dy, dz = 0.1, sigma_s = 0.5, sigma_a = 0.5, sigma_t = sigma_a + sigma_s, shadowOpacity = 1, Tvol = 1, Ts = 1, g = 1, density, Tsample, lightRayAttenuation, densityLight; vector X = rayOrig, W = rayDir, L = 0, Le, Y = 0, u, V, isLight; int steps = 0, maxStep = 256; vector4 volData = 0; for(int i = 0; i < maxStep; i++) { //Sample density along ray volData = unifiedVolumeShader(X); density = volData.w; vector light = set(volData.x,volData.y,volData.z); Tsample = exp(-dx*density*sigma_t); Tvol *= Tsample; //Scatter Event if(density > 0) { Y = X; Ts = 1; //For j number of ray segments for(int j = 0; j < 12; j++) { u = nrandom(); V = -normalize(sample_sphere_uniform(u)); dy = length(u)*3; densityLight = 0; steps = int(dy / dz); Le = 0; isLight = 0; //March Along ray single segment for(int k = 0; k < steps; k++) { volData = unifiedVolumeShader(Y); densityLight += volData.w; if(length(set(volData.x,volData.y,volData.z)) > 0) { isLight = set(volData.x,volData.y,volData.z); } Le += isLight; Y += V*dz; } lightRayAttenuation = exp(-densityLight * dz * sigma_t * shadowOpacity); L += (Le+light) * lightRayAttenuation * phaseFunction(g) * sigma_s * Tvol * dx * density * Ts; Ts *= exp(-densityLight * sigma_t * dy * shadowOpacity); } } X += W*dx; } return L; } 

The Ts term is also new, its the transmittance along the entire scatter ray. Which i found to be needed to get reasonable results. And i dont think it should really influence the emission.
What confuses me about this is that the reflects are brighter. Like. How ?
Ill keep lookin for the bug, but any input would be appreciated. Thanks for reading !
EDIT;
I think i have found at least a probable cause. If we think about it, i dont ever add the direct light term. As in, there is no actual term adding the light a camera ray sees directly. I changed the code like this;

 } L += directLight*Tvol*dx*sigma_a; } X += W*dx; } 

So right underneath the j loop. The idea is to add the light on the incident point directly. Since that is technically never done. I only consider In-Scattering, not the emissive term directly. The results seem more reasonable;
https://preview.redd.it/r0e3tuo1u83d1.png?width=1437&format=png&auto=webp&s=583acab8fcd229a1591db9069ae0693ad6686b54
Though i am not sure if the placement of this additional term is strictly correct. At the very least my reflections are no longer brighter than the lights themselves. Which, you know, is sort of important for realism.
Physically, it makes some sense as well. Perhaps this is just a term that got lost in translation when i changed the code for Multiple Scattering ? Or maybe the term falls away when you only consider single scattering ?
https://preview.redd.it/wy16bhwjw83d1.png?width=1442&format=png&auto=webp&s=5da40b1b01a427beddec83538a527605cce2cef3
The mandelbulb too seems more reasonable. But maybe i am coping.

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• Computer Science: C C++ Computer Programming (Comp) Java Python R (Introduction & Intermediate Level Only)
• Humanities: Communications (Comm) English Literature Essay & Term Paper Writing, Editing, Proofreading Essays History Papers Philosophy (Phil) Religious Studies Theology (Theo)
• Mathematics: A.P. Calculus AB & BC Psychology Statistics AP Statistics Bio statistics Calculus I (1) Calculus II (2) Calculus III (3) College Algebra Differential Equations Discrete Math Finite Math Functions General Math Geometry Liberal Arts Math Linear Algebra Multi-variable Calculus Partial Differential Equations Precalculus Probability Quantitative Reasoning Real Analysis Statistics Trigonometry (Trig) Vector Calculus
• Science & Medicine: Anatomy & Physiology (A & P) Biochemistry Biology (Bio) Biostatistics Earth Science Environmental Science General Chemistry (Chem) Healthcare Medicine Nursing Nutrition Organic Chemistry Physics (Phys)
• Social Sciences: Anthropology Economics (Econ) Geology Law & Justice Liberal Arts Liberal Studies Political Science Psychology Sociology

THE OBLIGATORY "IS THIS A SCAM?" QUESTION:
Considering the fact that you found my contact information online, it’s understandable to be skeptical regarding the legitimacy of my services. Therefore, I’m willing to do all of the following to help you feel more secure in trusting me with your academic needs:

• 1) Speak with you on the phone and answer any questions you may have so that you have the opportunity to assess and analyze my tone, articulation, accent, diction, dialect, regionalisms, pitch, vocabulary, word choice, intonations, and inflections.
• NOTE: I’m a New Jersey-born Irish/Italian-American, but I have been told that I speak in an erudite & articulate suburban American accent with a “professor style” voice somewhat resembling the voice of actor: Ben Stein.
• 2) Agree to do some homework questions of yours upfront with the work fully shown in real-time to prove my mastery of the course content.
• 3) Send you screenshots of at least five past scores I attained from completing exams & homework assignments for other students in the same type of class you need help with.
• 4) Send you full screenshots of written exam solutions I wrote up by hand for students in the past in the same course that you need help with so that you can see my neat handwriting.
• 5) Provide you with the contact information of students who have utilized my services in the past who would be more than willing to vouch for my skills.

MY REBUTTAL TO THE OBLIGATORY “IS THIS A SCAM?” QUESTION:
At the risk of sounding arrogant, I consider myself to be at least marginally more intelligent (both academically & socially) than the average person. Therefore, if I ever decided to suddenly risk prison time, risk my reputation, and risk enduring the wrath of modern-day “cancel culture” by scamming people out of their money:

• I certainly wouldn’t do it for such paltry amounts of money. (i.e., anything less than $1,000 per victim.)
• I certainly wouldn’t choose high school & college students as my “target audience” to scam, considering that most people without college degrees have abysmally low annual incomes. Why choose low-income victims when it would be much more profitable to target high-income, high-net-worth individuals earning at least six figures a year? I have knowledge in business consulting, and I promise you that a business owner would be a MUCH more lucrative mark than a low-income college student.
• I wouldn’t choose such a time & energy-draining method of scamming people. Also, communicating back and forth with potential clients is an absurdly long time sink since only less than 10% of all potential clients who reach out to me actually become paying clients of mine. This means that 90% of my time communicating with potential clients ultimately proves to be a colossal waste of my irretrievable time & energy.
• If you pay me to provide academic services and I don’t deliver, you can always dispute the payment with the payment app and easily get your money refunded. If I were in the habit of swindling money from people, then all of my payment accounts would have been investigated and be completely shut down by now. And I would have been permanently banned from opening new accounts. Therefore, the fact that all my payment apps have been fully active for years should be sufficient proof that I haven’t had people consistently disputing payments sent to me.

HOW TO CONTACT ME:
Paid Help from Hiraedu: If You're struggling to handle your Online Exams, Assignments or any other coursework, get help from Hiraedu and pay after the exam. Contact details for Hiraedu is: WhatsApp: +1 (213) 594-5657 OR Call: +1 727 456 9641

• I take my work as a tutor very seriously, and I always aim to do my best to help my students excel in school. I have a solid and sincere passion for academic achievement, and with my help, I am positive that I can help students obtain very high grades with minimal stress and effort.
• Please feel free to contact me if you're interested in my services and would like to learn more. I'm available 24/7 via phone call, email, and text. Again, thank you for taking the time to read my Reddit tutoring ad, and I hope to hear from you soon!

My contact details:
WhatsApp: +1 (213) 594-5657
Call: +1 727 456 9641
Website: hiraedu. com
Email: [info@hiraedu](mailto:info@hiraedu). com
What are your Thoughts! Write in comments and ask for help if needed
Suggest more topic Ideas
Join this subreddit to help us grow!

If You're struggling to handle your Online Exams, Assignments or any other coursework, get help from Hiraedu and pay after the exam. Contact details for Hiraedu is: WhatsApp: +1 (213) 594-5657 OR Call: +1 727 456 9641
ASSESSMENTS I CAN COMPLETE:

• Online Courses (1 - 20 Weeks Long)
• Homework Assignments
• Exams Quizzes Tests
• Excel Projects
• Discussion Forum Posts
• Research Papers Term Papers Essays
• Employment Assessments

MY MATH SUBJECTS OF EXPERTISE:
I am very knowledgeable and proficient in assisting students in a wide range of mathematics classes. I can help students complete their homework assignments and other projects get an A on quizzes, tests, and exams (including proctored assessments) answer online discussion posts write essays & papers in MLA APA Chicago format and provide general overall academic help in each math course listed below:

• Advanced Placement Honors High School Level Math
• AP Calculus AB A.P. Calculus BC
• AP Statistics
• Biostatistics Bio-Statistics
• College Algebra Intermediate Algebra
• Business Calculus
• Business Statistics
• Business Math
• Calculus I Calculus II Calculus III (Calc)
• Geometry
• International Baccalaureate (IB) Maths
• Liberal Arts Math
• Logic & Reasoning
• Multivariable Calculus Multi variable Calculus
• Precalculus Pre-calculus
• Probability & Statistics
• Psychology Statistics Psych Stats
• Quantitative Reasoning Quantitative Methods Quantitative Literacy (Quant)
• Statistics (Stats)
• Statistics for Social Sciences
• Trigonometry (Trig)

STATISTICS HELP (MY BEST SUBJECT):

• I have a master's degree in Applied Statistics from a university in New Jersey, USA. As a result, I am very proficient in helping students with various types of Statistics courses including Biostatistics Business Statistics Elementary Statistics Probability & Statistics Psychology Statistics.
• I have extensive knowledge and skill with helping students get through various statistical concepts including all of the following in alphabetical order:
• ANOVA Bar Graph, Boxplot, Dot Plot, Histogram, Pie Chart Bias Binomial, Exponential, Poisson, Gamma, Uniform Distribution Central Limit Theorem Chi-Square Test Coefficient of Determination (R^2) Conditional & Relative Probability Confidence Interval Correlation Coefficient (r) Critical Region Critical Value Descriptive & Inferential Statistics Effect Size Expected Value Experiment vs Observation Goodness of Fit Test Hypothesis Testing Interpolation & Extrapolation Interquartile Range (IQR) Kurtosis Left, Negative, Right, Positive Skewed Distribution Logistic Regression Mean, Median, Mode, Midrange Multiple Regression Nominal, Ordinal, Interval, Ratio I Population Parameter Normal, Symmetric & Bell Shaped Distribution Null & Alternate Hypothesis One & Two Sample T-Test One & Two Sample Z-Test Ordinary Least Squares Outliers P-Value Pooled Variance (Equal Variances) Proportion R^2 Range Regression Regression Line Reject & Fail to Reject Ho Relative & Cumulative Frequency Distributions Relativity & Reliability Right, Left, One, Two Tailed Tailed Hypothesis Test Sample Statistics Sampling Methods (Convenience, Stratified, Simple, Cluster, Systematic) Significance Level (1%, 5%, 10%) Skewness Standard Deviation& Variance T-Score Test Statistic Time Series Type I & Type II Errors Unbiased Estimators Z-Score

ALGEBRA HELP:

• I am well-versed in helping students do well in Algebra 1 & 2 College Algebra Intermediate Algebra Pre-Algebra and I am very knowledgeable and proficient in the following algebra topics in alphabetical order:
• Absolute Values Circle Equation Domain Exponents Graphing Horizontal & Vertical Asymptotes Inequalities, Equations & Functions Inverse Functions Linear, Exponential, Logarithmic, Quadratic Equations Logarithms Maximum & Minimum Values of a Graph Number Lines One-to-One Functions Parallel & Perpendicular Lines Plotting Points & Ordered Pairs Point-Slope Form Polynomial Division Polynomials Radicals Range Rational & Irrational Expressions Rational Functions Real Roots Real Zeros Relations & Functions Slope Slope-Intercept Form Square Roots Standard Form of a Line System of Equations System of Inequalities Variables X and Y Intercepts

CALCULUS HELP:

• I am well-versed in helping students do well in Calculus I, II & III, Calculus 1, 2 & 3, Business Calculus, Multivariable Calculus, Vector Calculus and I am very knowledgeable and proficient in the following calculus topics in alphabetical order:
• Absolute & Local Maximum and Minimum Antiderivative Area & Volume Chain Rule Concavity Continuity Convergence Test Critical Points Curvature Curve of Rotation Curve Sketching Derivatives Divergence Test First & Second Derivative Test Fourier Series Implicit Differentiation Increasing / Decreasing Functions Infinite Series Integrals Integration by Parts Jacobian Matrix Limits L’Hopital’s Rule Maclaurin Series Mean Value Theorem Partial Derivative Product & Quotient Rule Reiman Sum Related Rates Simpson’s Rule Solid of Revolution Substitution Rule Taylor Series

Paid Help from Hiraedu: If You're struggling to handle your Online Exams, Assignments or any other coursework, get help from Hiraedu and pay after the exam. Contact details for Hiraedu is: WhatsApp: +1 (213) 594-5657 OR Call: +1 727 456 9641
ATTRIBUTES THAT SET ME APART FROM OTHER TUTORS:

• I firmly believe that I have many attributes and skills that set me apart from other tutors. Below is a list of qualities that makes me an ideal fit to help you master your coursework:

I CAN AID STUDENTS TAKING PROCTORED ASSESSMENTS:

• Proficient in CollegeBoard AP Calculus AB, AP Calculus BC & AP Statistics exams.
• Skilled with International Baccalaureate Math Exams: IB Maths HL & IB Maths SL
• Can intentionally answer a few problems incorrectly at the student's request.
• Can text solutions to the student while they are taking a proctored exam.
• Upon request, can purposely obtain grades below an A (ex: B+, B, C+, C-).
• I can stretch out the time to a plausible length for timed exams and assignments before submitting them.
• Have reliable software that can change my IP address to match the closest major city near the student.
• I have exceptional multiple-choice exam-taking skills. I have mastered the various techniques to make calculated guesses for the correct option in standardized exams such as the SAT & GRE.

I CAN VERIFY MY ACADEMIC KNOWLEDGE & SKILLS:

• I have no problem with requests to solve sample problems upfront to prove my knowledge & proficiency of the course concepts.
• I can provide glowing references & strong examples of work done for past clients to verify my academic skills.
• I can also provide, upon request, complete detailed calculations with explanations for solutions to the problems worked on.
• I am quite skilled and adept in using multiple modernized educational platforms and software, including but not limited to: Brightspace MyStatLab D2L WebAssign Canvas MyMathLab Blackboard ALEKS
• Can format term papers and discussion posts in APA MLA Harvard Chicago Vancouver OSCOLA IEEE format.

I HAVE PAID ACCESS TO OVER 15 STUDY-HELP WEBSITES AND MATHEMATICAL SOFTWARE:

• I have multiple paid subscriptions to a wide range of academic tutoring resources, including Chegg, Quizlet, CourseHero, Brainly, Grammarly, Study. com, Bartleby, Slader, Transtutors, Slideshare, StudocU, Turnitin, Academia, SymboLab, WolframAlpha, and Scribd to help guide to solve exam & homework questions that I may not immediately know.
• However, I am smart enough not to blatantly plagiarize solutions online but instead write them in my own unique words, formatting, & mathematical terminology.
• I have access to a very sophisticated graphing calculator and various mathematical software that provides step-by-step solutions to complex mathematical problems within seconds, allowing me to provide exact solutions to the student in a timely manner.
• I have impeccable handwriting and a high-quality mobile scanner app that allows me to scan written solutions in very legible high-definition JPG, PNG, or PDF formats.

MY AVAILABILITY & RELIABILITY:

• Depending on my availability, I can accommodate immediate tutoring requests, 1-24 hour, and 1-30-day deadlines.
• I can schedule live real-time online sessions and meet deadlines in an impressively timely fashion.
• I can provide quick notifications and updates of progress made in the student's class via email text phone calls.
• I can also be available to tutor students for Fall 2021 Spring 2022 Summer 2022 semesters.

MY EDUCATIONAL SOFTWARE OF EXPERTISE:

• I am very knowledgeable and well-versed in a wide range of educational software to tutor students in including but not limited to: Acellus ALEKS APEX Learning Aplia Blackboard Brightspace Canvas Cengage CengageNow Connect ConnectMath Connexus CPM D2L Discord Edmentum Eviews Examity Excel Hawkes Learning Honorlock Khan Academy Knewton LimeSpring Lumen Maple MasteringChemistry MasteringPhysics MathXL (XL) MATLAB McGraw-Hill Microsoft Word Minitab Moodle MyAccountingLab MyEconLab MyITLab MyLab My Lab MyMathLab My Math Lab MyOpenMath MyPsychLab MySocLab MyStatLab My Stat Lab NCSS Open Source Software Pearson PERT PlatoWeb PowerPoint Prezi R Respondus Lockdown Browser with Webcam Sapling SPSS Stata StraighterLine Straighter Line WebAssign Web Assign Webex (Cisco) WebWork Wiley WileyPlus Wonderlic Zoom

SCHOOLS FROM WHICH I'VE HELPED STUDENTS IN :
As of 2021, I have tutored and helped students enrolled at the following U.S. universities community colleges county & city colleges schools for-profit institutions listed below in alphabetical order:

• A - C: American Public University System (APUS) Arizona State Ashford Brigham Young Brown Broward California State (Fullerton) Capella Chamberlain (Illinois) Colorado Technical Columbia Columbia Southern Cornell
• D - K: Dallas College Dartmouth DeVry Excelsior College Florida International Florida State Full Sail Georgia State Grand Canyon Harvard Houston Community College Ivy Tech Community College Kaplan Kennesaw State Kent State
• L - T: Liberty Lone Star College System Kaplan Miami Dade Michigan State CUNY State University of New York (SUNY) Northern Virginia Ohio State University of Phoenix (UOP) Penn State Princeton Purdue (Davenport) San Diego State San Francisco State San Jose State Southern New Hampshire Southern Nevada Stanford St. Petersburg Strayer Texas Tech
• UNIVERSITY OF: Alabama Arizona California (UC) Central Florida Chicago Cincinnati Florida Houston Illinois (Urbana-Champaign) Iowa Maryland Minnesota Michigan North Texas Pennsylvania Southern Florida Texas Toronto
• U - Z: UCLA Extension Utah State Utah Valley Valencia Walden U Wake Technical Western Governors Wilmington Yale

Paid Help from Hiraedu: If You're struggling to handle your Online Exams, Assignments or any other coursework, get help from Hiraedu and pay after the exam. Contact details for Hiraedu is: WhatsApp: +1 (213) 594-5657 OR Call: +1 727 456 9641
I OFFER FLEXIBLE PAYMENT PLANS:

• I offer several unique payment plans, including a weekly plan, a discounted monthly plan, a discounted half-now / half-later plan, and highly discounted up-front rates.
• I can accept the following payment methods for my services: PayPal Debit Cards Square Cash Credit Cards Cash App Venmo.
• Only people located in North America have access to Venmo Cash App Zelle.
• This is an excellent way to determine if the person you're dealing with is from the United States.
• Within reason, I offer a partial or full money-Back guarantee if the student is very unsatisfied with my academic services.

TUTORING AVAILABLE FOR OTHER SUBJECTS:

• For other subjects, you can reach out to me, and I can connect you with one of my tutoring partners who can provide general academic assistance for the following subjects:
• Art & Design: Art History Design Film Studies
• Business: Accounting (Acc) Biz Courses Business Administration (Biz Admn) Business Calculus Business Law Business Statistics Corporate Finance Economics (Econ) Finance (Fin) Financial Accounting Intermediate Accounting Intermediate Microeconomics (Micro) Macroeconomics (Macro) Management (Mgmt) Managerial Accounting Marketing MBA
• Computer Science: C C++ Computer Programming (Comp) Java Python R (Introduction & Intermediate Level Only)
• Humanities: Communications (Comm) English Literature Essay & Term Paper Writing, Editing, Proofreading Essays History Papers Philosophy (Phil) Religious Studies Theology (Theo)
• Mathematics: A.P. Calculus AB & BC Psychology Statistics AP Statistics Bio statistics Calculus I (1) Calculus II (2) Calculus III (3) College Algebra Differential Equations Discrete Math Finite Math Functions General Math Geometry Liberal Arts Math Linear Algebra Multi-variable Calculus Partial Differential Equations Precalculus Probability Quantitative Reasoning Real Analysis Statistics Trigonometry (Trig) Vector Calculus
• Science & Medicine: Anatomy & Physiology (A & P) Biochemistry Biology (Bio) Biostatistics Earth Science Environmental Science General Chemistry (Chem) Healthcare Medicine Nursing Nutrition Organic Chemistry Physics (Phys)
• Social Sciences: Anthropology Economics (Econ) Geology Law & Justice Liberal Arts Liberal Studies Political Science Psychology Sociology

THE OBLIGATORY "IS THIS A SCAM?" QUESTION:
Considering the fact that you found my contact information online, it’s understandable to be skeptical regarding the legitimacy of my services. Therefore, I’m willing to do all of the following to help you feel more secure in trusting me with your academic needs:

• 1) Speak with you on the phone and answer any questions you may have so that you have the opportunity to assess and analyze my tone, articulation, accent, diction, dialect, regionalisms, pitch, vocabulary, word choice, intonations, and inflections.
• NOTE: I’m a New Jersey-born Irish/Italian-American, but I have been told that I speak in an erudite & articulate suburban American accent with a “professor style” voice somewhat resembling the voice of actor: Ben Stein.
• 2) Agree to do some homework questions of yours upfront with the work fully shown in real-time to prove my mastery of the course content.
• 3) Send you screenshots of at least five past scores I attained from completing exams & homework assignments for other students in the same type of class you need help with.
• 4) Send you full screenshots of written exam solutions I wrote up by hand for students in the past in the same course that you need help with so that you can see my neat handwriting.
• 5) Provide you with the contact information of students who have utilized my services in the past who would be more than willing to vouch for my skills.

MY REBUTTAL TO THE OBLIGATORY “IS THIS A SCAM?” QUESTION:
At the risk of sounding arrogant, I consider myself to be at least marginally more intelligent (both academically & socially) than the average person. Therefore, if I ever decided to suddenly risk prison time, risk my reputation, and risk enduring the wrath of modern-day “cancel culture” by scamming people out of their money:

• I certainly wouldn’t do it for such paltry amounts of money. (i.e., anything less than $1,000 per victim.)
• I certainly wouldn’t choose high school & college students as my “target audience” to scam, considering that most people without college degrees have abysmally low annual incomes. Why choose low-income victims when it would be much more profitable to target high-income, high-net-worth individuals earning at least six figures a year? I have knowledge in business consulting, and I promise you that a business owner would be a MUCH more lucrative mark than a low-income college student.
• I wouldn’t choose such a time & energy-draining method of scamming people. Also, communicating back and forth with potential clients is an absurdly long time sink since only less than 10% of all potential clients who reach out to me actually become paying clients of mine. This means that 90% of my time communicating with potential clients ultimately proves to be a colossal waste of my irretrievable time & energy.
• If you pay me to provide academic services and I don’t deliver, you can always dispute the payment with the payment app and easily get your money refunded. If I were in the habit of swindling money from people, then all of my payment accounts would have been investigated and be completely shut down by now. And I would have been permanently banned from opening new accounts. Therefore, the fact that all my payment apps have been fully active for years should be sufficient proof that I haven’t had people consistently disputing payments sent to me.

HOW TO CONTACT ME:
Paid Help from Hiraedu: If You're struggling to handle your Online Exams, Assignments or any other coursework, get help from Hiraedu and pay after the exam. Contact details for Hiraedu is: WhatsApp: +1 (213) 594-5657 OR Call: +1 727 456 9641

• I take my work as a tutor very seriously, and I always aim to do my best to help my students excel in school. I have a solid and sincere passion for academic achievement, and with my help, I am positive that I can help students obtain very high grades with minimal stress and effort.
• Please feel free to contact me if you're interested in my services and would like to learn more. I'm available 24/7 via phone call, email, and text. Again, thank you for taking the time to read my Reddit tutoring ad, and I hope to hear from you soon!

My contact details:
WhatsApp: +1 (213) 594-5657
Call: +1 727 456 9641
Website: hiraedu. com
Email: [info@hiraedu](mailto:info@hiraedu). com
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What are your Thoughts! Write in comments and ask for help if needed
Suggest more topic Ideas
Join this subreddit to help us grow!

Good Day All!
I figured, I try and keep you guys all in know and not simply let the subreddit stagnate, so Updates like these may become regular at least once a week, or once every two weeks.
To begin:
Vol. 3 is in progress, with a fairly short prologue(about 5-6 pages), that will immediately roll into [Chapter 1, Part One] which is about 36 pages. (I don’t have a word count for y’all right now now). I am now beginning [Chapter Part Two].
A little know structure of how I write, I structure my story in the way of a Light novel, with this kind of structure;

• Prologue
• Chapter 1
• Chapter 2
• Intermission
• Chapter 3
• Chapter 4
• Epilogue

With each chapter also being separated into parts, if need be. With the objective being that each chapter will now be following a singular PoV, usually alternating between sub plots, in the prologue, intermission, and epilogue chapters. With the main chapters alternating between two main plots. So think Chapters 1,3 in the Eyes of Tukari, with 2,4 in the eyes of another main character. Of course, this is derived from the master copy I write on, which is not broken up into smaller chapters you will see here on the reddit, but I will mention in the title the start and end of any particular chapter.
Vol. 3 Preface:
This Volume will be focused mostly in the eyes of an agent of the Union, more specifically, under Neela; Champion Tukari.
I will not reveal more than her name, as i wish to keep the plot hidden. I will however, with the release of characters for the volume, which is what i plan to do, but i will leave it up to a poll if you guys would like to see concept art for key characters of Vol 3.
Before vol. 3 Drops:
Before the drop of Vol. 3, however, I will continue to finish first Jay’s Prequel; TC_Story: The Battle of Artray.
The reason for this is that it will act as context and lore prior to Vol. 4 - The Terran Reclamation Unit Arc.
Luckily, i will be returning home for a month, so I plan to finish Jay’s TC_Story within the next 5-6 weeks.
Thats the update, and thanks for reading and being patient.
Poll:
When should I drop the art work?
View Poll

To be clear, I'm talking about languages such as Italian, Spanish, French or Portuguese. (I mean Romanian is also one of them.) They all have gender cases including gendered nouns. I do keep hearing that English speakers have an 'easier' time to learn them due to them having an alphabet, plus they are considered "Romance" languages. (I'm not going to talk about that here, as there are many posts mentioning them.)
Instead, I'm discussing on how hard are both Mandarin & Japanese for native French, Spanish, Italian or Portuguese speakers to learn? Since both JP & ZH are completely alien to European languages in terms of their writing system, grammar or syntax, so they have no common ground with the European framework in regards to their orthography or grammar.

Even though Japanese has hiragana / katakana, it does not mean they write every word like that, since they have Kanji. (It helps condense sentence length, also that makes it clearer to tell the difference on what the correct word is, as some sound exactly the same but have different meanings altogether.

The features that each language has:

Mandarin	Japanese
Tones (4-5)	Pitch accent
Classifiers (for counting)	Counting words
Stroke order (differs from Japanese)	Stroke order (differs from Mandarin)
Word particles (different from Japanese)	Word particles (different from Mandarin)
Polite language (formality)	Keigo & Honorifics
Sentence structure: SVO	Sentence structure: SOV
Untranslatable nuances	Untranslatable nuances

From both ZH & JP: 1 漢字 equates to a SINGLE word in which multiple letters are needed in European languages to spell out. Both Kanji & Hanzi are drawn from visual concepts on how they interpret a word based on semantic meaning. (Characters are fun for caligraphy practice, it's also a work of art.) For reference, take the Kanji & Hanzi: 川
[The stroke order between both languages are different despite having the same character for some words, since they are both different languages after all.]
The shape of the character is derivative on how its visualized.

Japanese - 訓読み：かわ・音読み：セン
Mandarin - Pinyin: Chuān

For instance, take the kanji & hanzi:「軍」
As you can see, a single kanji & hanzi already equates to 1 word as it is logographic, which will require multiple letters in Romance languages to spell.
Kanji from Japanese has multiple readings for ONE character, for example:「行」
An example of a Kanji, but as indicated their phonologies change depending on how it used within a word, or placed in a sentence.

Kunyomi: Native Japanese Reading of a kanji.
Onyomi: Reading of a kanji derivative of Mandarin phonology.
Nanori: These readings only apply when a kanji is used within a persons name.

That is also another "complex" part of Japanese, as kanji has multiple pronunciations alone. (Yep, this applies to most of the 2,136+ characters having their own assigned phonologies that differ.)
This often gets lost in translation (like all the time!), as ONE character can imply so many definitions depending on the context you associate it with, in a literal or figurative sense. As opposed to European languages, the translation is mainly consistent with what you put it for "common" words but there are some that can also pose multiple meanings.

Japanese & Mandarin	Romance (Euro) languages (letter count)
They have a large amount of characters, getting the feeling like it's 'limitless' but they contrast around 2,000 - 10,000+ in their total amount.	French (26), Spanish (27), Italian (21) & Portuguese (26) As they are alphabetical, you read each letter as it is.
Both languages have zero concept of gender cases as it's not a thing in Japanese & Mandarin.	They have gender cases and gendered nouns (Whether it is FR, ES, IT or PT.)

On the other hand, they both have idioms and proverbs you can create out of 4 characters, conveying a proverb and idiomatic phrase (both in a literal & figurative sense) using only 4 characters:

• In Mandarin - 成語
• In Japanese - 四字熟語

As mentioned, they only use 4 characters to construct a proverb & idiom.

I mean, can you also do this in European languages: only using 4 short words alone? (To create a proverb that still conveys an idiomatic meaning with only 4 words.)

Both Mandarin and Japanese have radicals (on both hanzi & kanji) which are building blocks of their characters, that radical has a meaning on its own as it's derivative of an existing word, but when associated with another kanji & hanzi. (Hence why some characters look similar to one another.)
The connotation of its meaning can change, but the theme surrounding the vocabulary involving the radical still conveys a message despite it being a different word entirely, even though the radical is present in an unrelated word that does not relate to the meaning of the radical.
As shown, pay close attention to the radical present in these words. (Despite some of them having the same one, they connotate a different word entirely.)

The Kanji in Grey: Unreleated words surrounding the radical present.
The Kanji in Pink: Related words surrounding the radical present.
Be careful not to get these mixed up, you need a good eye to distiguish them apart.

List of words from Mandarin containing the radical 女.

The Hanzi in Pink - Words associated with nouns relating to girls & women.
The Hanzi in Purple - Words associated with a "positive" connotation.
The Hanzi in Maroon - Words associated with womanhood.

Japanese

They have 45 ひらがな & 45 カタカナ but that is only scratching the surface, not forgetting to include over 2,136+ 漢字 with readings such as: 訓読み, 音読み & 名乗り for each character, imagine doing that 2k times, knowing all the phonologies for most or all of them.
The grammar too is alien to all European languages, as what is stated last in a [EU lang] sentence is positioned at the beginning in Japanese. On top of kanji implying more than one definition as it is dependent on context, also the reading can change if its paired with kana or another kanji.

For example, take the sentence「ジュールズさんが家族と家でフランス語を話します」(You can clearly see as indicated by the word positionings: Japanese word order is SOV while the translations below it are complicit with the SVO order as usual in European languages.)
As shown here, the sentence strutcure in Japanese is very different to the counterparts in French, Spanish, Italian or Portuguese. (Indicated in color)

The さん (in red) is a honorific. (More about that later.)

Subject omission is common in Japanese, as they don't always need to include words like (I am, me, we, us, etc.) as opposed to European languages where it's needed, since you are already inferring to the speaker in question, so it is a lot more straight forward. For instance:
From this sentence (私は) is omitted in Japanese. (Translations conveyed in brackets and light text.)

To speakers of Romance languages, can you omit words like "I am" or any pronoun alike and still be understood by the other party? (Can it really work?)
For example, in Portuguese: instead of saying "O meu nome é Francisco" > just put it as "Francisco" [Omitting O meu nome é] (in Japanese that is connotated as フランシスコです - without 私は)

I won't forget 丁寧語、尊敬語、謙遜語 which are all part of 敬語 in Japanese, especially in verbs as to express a level of politeness (in corporate or formal setting) to empathize respect to the other party to not be connotated as rude (you can use the 'normal' variant but that will come off as impolite - in let's say a business meeting or any formal event / setting.), between a "dictionary" form including teineigo, sonkeigo & kensongo. For instance:
As you can see, all 4 variations of 1 verb exist in Japanese, keeping in mind with the level of formality on which variant you'll use. (They all mean 1 verb, but connotate different levels of politeness, empathizing the level of respect or decorum.)

For example, you would not use 言う in an formal setting when talking to people within either a business or special occassion where decorum is required, you would instead use 申し上げる or something amongst the lines of おっしゃる depending on the situation and setting or formality.
Is there anything like this in European languages to this extent? If not, then this will be difficult for you all to fully understand as there's verbs in Japanese that do this based on the level of decorum incuding the setting you are in, the people you are talking to.

The honorific system in Japanese is often "lost in translation" as evident in both manga or anime (what I hate about translation is that they transliterate it instead of coming up with an equivalent), as there are many levels of politeness and formality within their language, for example:

日本語	Roughly equivalent to:
博士 (はかせ)	Dr. / PhD
後輩 (こうはい)	Junior
先輩 (せんぱい)	Senior
先生 (せんせい)	Teach / Mr / Mrs
様 (さま)	Mr / Mrs (Formal variant, eg. clients, judges)
さん	Mr / Mrs (Addressed towards grown ups)
たん	(Refers to babies)
ちゃん	(Refers to young children - boys / girls)
殿 (どの)	(Formal / archanic ver: of you)
君 (くん)	(Semi-formal title referring to men)
氏 (し)	(Used for family names or important stuff alike)
陛下 (へいか)	Your Majesty
殿下 (でんか)	Your Highness
閣下 (かっか)	Your excelency
坊 (ぼう)	(A term for endearment regarding young boys)
被告 (ひこく)	(Addresses the accused - legal / court)
容疑者 (ようぎしゃ)	(Addresses the suspect - police / legal)
受刑者 (じゅけいしゃ)	(Addresses the one convicted - legal / court)

Of course this also gets lost in translation, in European languages as they OFTEN just romanize the term, which is not how you are not meant to translate it. (If there is no actual equivalent in European languages, just omit it instead of transliterating it.)

In regards to Kanji: there are words that bare the same phoneme, but keep in mind of numerous kanji variations that also possess the same phonology, with each having their own separate meanings. For example, take the onyomi reading for カン -
I only listed 100 kanji that are pronounced the same, but there are 286 more with the same sound: カン (By the way, each kanji has their own definition.)

This phoneme (カン) alone comprises 386 漢字 in Japanese, some of the characters have become 'obscure' in their usage, as in you don't even know they existed until you've looked hard enough. (Even native speakers don't know all of them.)
How difficult is this concept for speakers of European languages to remember and fully grasp? (Some of the kanji are used for people's names.)

The most diffcult part a "word" can have various meanings for one phoneme, take for example 「こうか」which comprises of 39 words with this pronunciation, so depending on the sentence you are listening to or reading, you got to infer the correct one based on context. Also, Japanese has 188 word particles in total. (I won't list them all.)
I can only think of 54 word particles that are used in Japanese sentences. (Although there are quite a lot, with specific uses.)
In terms of how counting works in Japanese, it is not like in European languages at all. Japanese has 助数詞, which are counting / measure words used to count the number of things, actions, events, items, and etc. to make it clear on what you are exactly counting.
A list of Japanese 助数詞 - (There's about 350 of them, but I won't list them all.)

There is so many counter words in Japanese, that even native speakers don't even use ALL of them, as their uses are situational or only applicable in some instances.

Counting suffix (within a number / qty.)	A rough summary
つ	A counter for [things] in general, as it is also commonly used in Japanese.
個	Counter for [no. of pieces] or some things, you see this word in relation to let's say: food.
本	Counts books, pens, pencils, nail clippers, etc. (This one is quite versatile in its usage.)
枚	Equiv. to no. of reams of paper, no. of pics, also counts bath mats, credit cards, clothing, etc.
匹	Used for counting [small / medium] animals (eg. household pets or other small creatures.)
頭	Counter for [no. of livestock] or large animals such as elephants, whales, camels, etc.
冊	Primarily a counting suffix used for documents or books (equiv. to: Olivier read 3 books.)
台	Counting word in relation to the no. of vehicles (such as trucks or cars) for example.
羽	Counter word for birds (specifically) but can be used to count rabbits too.
階	Used to refer to no. of storeys or floors within a building. (eg this apartment has 20 floors.)
缶	Refers to the no. of [cans] such as soda cans, tins, paint cans, etc. (When empty, use: 個)
巻	Refers to no. of [books / comics] in a series. (equiv to: Carlos read all 7 harry potter novels.)
切れ	Refers to no. of [sliced food] (equiv. to: Maria sliced 4 loaves of bread for her sibilings.)
口	As a counter, it refers to [times] bitten in food. (equiv. to: Pierre took one bite from a scone.)
件	Refers to the no. of [cases / incidents] but this counter has versatility in its usage.

For example, the counting word 羽 is present in Japanese (regardless if it is singular or plural), as it is needed to be specific on the indicator within a numerical unit of [something / someone / event / action, etc.] to clarify what you're referring to.
As highlighted, the presence of the counting word is needed. It's not conveyed in the translations displayed below.
Pitch accent is another part of Japanese phonology, as the word can change based on the volume of each phoneme depending on your pronunciation, it connotates a different word altogether affecting the overall meaning, on what you actually want to say. For example, take むし -
Accent 1 is noted as High Low & Accent 2 is noted as Low High. The pitch accent connotates a different word despite them both sounding similar to one another, as in adjusting the volume of one phoneme upon your pronunciation.

Mandarin

7,000 - 80,000+ 漢字 (There are dictionaries that state the existence of around 106,230 漢字 in Mandarin.) However a modern dictionary only features 20,000 hanzi while an educated native speaker memorizes 8,000 hanzi but reading a newspaper only requires knowing 3,000 hanzi.
The sentence structure is different from Japanese (as it is SVO), although their wordings can imply more than one definition, as it is also dependent on how you associate it within a sentence, keep in mind too that they also have tones embedded within their phonology.

For example, take the sentence「醫生根據病人的病情以最好的方式治療他們」(You can clearly see the differences, as indicated by the word positionings - shown in color.)
As shown, the positioning of the words from Mandarin are different despite the word order being SVO, the translations are still different regardless.
Another feature that Mandarin has are separable verbs. (It may sound confusing at first) From this example, take the verb: 見面 (Rencontrer / Incontrare / Conocerte / Conhecer) used here:
As indicated, the hanzi 面 is omitted since 見 already conveys the verb.

Can you also do this in French, Spanish, Italian or Portuguese?

In this example, an extra hanzi (了 - as an particle / indicator: past tense) is added in the middle but the verb 吃飯 (Repas / Mangiare / Comer / Come) is still intact:
As the hanzi 了 is placed inbetween both 吃 and 飯, but the verb overall is still there.
From Mandarin - there are words that sound the "same" to the untrained musical ear, as it is a tonal language, so you need to keep that in mind, for example from pinyin: 'bi' consists of multiple hanzi depending on the tone you use, based on pronuncation.
All of them may sound the \"same\" to the untrained musical ear, but they are completely different words altogether. That is the difficult part of Mandarin for \"Euro\" language speakers as it's not a thing in their languages.
There are phonemes from Mandarin that comprise of a LOT of hanzi (that imply different definitions altogether, based on tones.) from 1 sound alone, such as this example below:
I can only think of 82 hanzi which all are pronounced as \"BI\" (there are perhaps more) but their tones connotate a different word. (Also, pay attention to the radicals.)
Like Japanese, Mandarin has word particles too. For example:
Some word particles present in Mandarin. (Although there are perhaps more.)
Akin to the Japanese counting system, Mandarin has 漢語量詞 which are classifiers used to count the number of things, actions, events, items, and etc. to make it clear on what you are exactly counting, that classifier is tied to a specific category and usage.
As indicated, the classifer 輛 is required to be within the sentence in Mandarin. (As you can see from the translations, an equivalent word for that classifier doesn't exist.)
A list of Mandarin 漢語量詞 - (There's quite a few, but I won't list them all.)

Although these classifers can imply multiple meanings and uses, it's context specific though if you want to know what that classifer is referring to.

Classifier (no. / qty. of something / action)	A rough explanation
句	Refers to no of. [lines / sentences] (equiv. to: Sam wrote on the first 2 lines of his book.)
發	Refers to no. of [rounds / bullets] (equiv. to: Diego fired 20 rounds from his M16A4.)
封	Refers to [letters - mail] (equiv. to: Ella opened 4 letters coming from the city council.)
根	Refers to [long thin] objects, eg. needles. (equiv. to: Jack only found 1 needle in a haystack.)
棵	No. of trees (equiv. to: Alice planted 6 trees around the park not far from Paris.)
輛	No. of vehicles (eg. Giovani spotted 3 cars in front of him during a traffic jam in Rome.)
列	Refers to [rows / columns] (eg. Adrian had to wait within a queue stetching 3 rows.)
首	Refers to [poems] (equiv. to: Theo wrote 7 poems within the first month or so.)
水	No of. [rinses / times washed] (eg. Henry washed his laundry for the third time.)
堂	No of. [periods within a class] (eg. Claire skipped 2 study periods for her English exam.)
班	No of [students] (eg. Jean knew there were 20 other pupils in his English class.)
牀	Refers to the [no. of blankets / sheets] (eg. James placed 3 bedsheets in the cabinet.)
排	Refers to [items grouped in rows] (eg. Sally saw 4 chairs untucked in the classroom.)
部	Refers to [no. of movies / novels] (eg. Chris Pratt starred in 3 films this year.)
包	Refers to [no. of packages / bundles] (eg. Reese received 3 bundles of bubble wrap.)

In European languages, do you also have counter words or classifers in relation to numerical units when referring to specific nouns? If not, than this concept from both Japanese & Mandarin might be a struggle to wrap your head around. (As there's one for EVERYTHING, quite a lot!)

Hanzi can be flipped to create:

1. Reversal of verbs & adjectives
2. Different meanings
3. Similar meanings
4. Loosely related definition
5. Closely related definition
6. Logical meanings

Japanese: Kanji can their positions swapped, but in doing so changes the meaning completely.

[Apologies for the long post: since there's a LOT of detail to uncover.]
In hindsight:

• Japanese has different word order compared to Romance langauges, how hard is this grammatical difference for European language speakers to wrap their head around?
• In terms of the honorific system and levels of politeness in speech: Does that really exist in European languages to the extent of Japanese, even for the slightest ones?
• How common is subject omission in European languages? I mean is it to the extent of Japanese in terms of it being common throughout Romance languages. (omitting words or pronouns like: Us, I'm, We, etc.)?
• From European languages: can you omit or separate as well as adding an extra [letter] to verbs witnin a sentence (like Mandarin) and still be understood?
• Since Japanese & Mandarin are logographic and heavily draw on visual concepts for their vocabulary having thousands of characters, how difficult is it for Romance language speakers?
• Tones from Mandarin: How difficult are those for speakers of Romance languages to determine the "right" word by listening to the "same" phoneme 4-5 times at different volume & tone?
• How difficult is the Japanese counting system for speakers of European languages to grasp, since there are 350 of these counting suffixes and specific words integral to numerical units?
• Mandarin has classifiers when referring to numerical units (akin to the Japanese counting system) how hard is this concept for native speakers of Romance languages?

Henna hair dye is a natural hair coloring method that utilizes the powder of the Lawsonia inermis plant, commonly known as henna. Henna has been used for centuries as a hair dye, particularly in regions like the Middle East, South Asia, and North Africa, where it is indigenous.
Here's an overview of henna hair dye and how it works:

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Found this in an old amsterdamtrader blog comment and thought it was pretty interesting. It seems to be translated with Google Translate which was pretty bad back then, but it's still understandable. Couldn't find the original article in Dutch anymore unfortunately so this will have to do. Quite interesting how they went from pit traders to automated electronic trading.

The Optiver Empire Paul van Riessen, Cees Jan Siersma, Martin Dijkstra October 2009
After the blood red trading year 2008 a lot of private financiers are licking their wounds. Optivers traders came unharmed out the struggle. In fact: thanks to their speedy trading system they made a record profit of nearly three hundred million. How the farmers from the Achterhoek became master of the exchange.
Seven years after the start-up of the Amsterdam exchange ‘the right of the strongest’ still counts. The trader with the biggest mouth, the sharpest elbows and the most effective push of the shoulder has the biggest chances to go home richer at the end of the day. All tricks are pulled out of the closet. So do some of the multi-coloured coats exclusively eat spicy curries, to make sure their competitors are mislead on a crucial moment by a well planned fart. Former exchange director Ulf Doornbos remembers well how he drew yellow cards for such dirty tricks and sometimes he even had to throw people off of the floor. ‘Not all of them knew how to keep themselves standing in the pit. I’ve seen boys who were way faster in calculating than others, but couldn’t get used. They were just snowed under by the attitude on the trading floor.’ Doornbos didn’t have much faith when the then 26 year old Johann Kaemingk and the 35 year old Chris Oomen came to tell they wanted to play along in 1984. ‘They were two very modest boys.’
FARMERS Chris Oomen wanted to become a doctor, but since he couldn’t stand blood, he choose pharmacy. Since making pills gets boring eventually, he applies at Health Insurance Company DSW in 1978. There he grew up very fast. He had quite some money left in the eighties, which he, among other things invested in gold. ‘Until one Friday Afternoon, I couldn’t get rid of my position. Every time I offered the offer price, or wanted to leave the bid price, the prices were simply adjusted. I couldn’t get in or out. Then I found out that the responsible market maker already sat down with a fat cigar in his mouth and didn’t feel like trading anymore. Then I thought: I want to sit, down at the other end.’ He got his buddy Ruud Vlek interested in the idea and together they decided to establish Optiver. ‘That wasn’t that easy,’ says Oomen. ‘In order to get a chair, you needed to be a member of the exchange. And to become a member, you needed a chair. This impasse lasted for two years. By that time the bank Pierson, Heldring & Pierson was willing to give me a chair on loan. That’s how it started.’ Oomen and Vlek got to know Johann Kaemingk via others, who had shortly been working at ABN AMRO back then. With Vlek on the background and Oomen in an advisory role, Kaemingk has to bar on everything. Initially the bruisers don’t take it very seriously on the trading floor, tells Jeroen van Rooden, who was hired as the first trader. ‘We were nothing of course. We were almost literally a lone wolf that had to make sure we kept standing between all the big force of the others. The stock exchange was already a bit fixed and no one was waiting for more players.’ Henk Beltman, who was shortly hired after Rooden by his friend Johann Kaemingk, remembers the plain contempt. ‘Johann and I are from the Achterhoek. The others called us the farmers.’ In fact, the peasants from Optiver are only taken seriously when Pierson takes an interest a short year after the foundation. ‘By then we were able to trade sharply’, says Beltman. ‘The resident class didn’t like that. They had to have it from the big margins, while we on the other hand traded because of our discomfort about the high commissions that were paid to brokers. We shook matters up.’ With the boarding of Pierson, Heldring & Pierson there was finally serious money available. For that time, as the story goes, Kaemingk feels the need to visit the local butcher and baker in his home town Lochem, to ask them to provide money. The ones who said yes back then, are now amongst Hollands richest retailers. Today, Optiver is the country’s most biggest and successful trading company. In 2007 they made a profit of 217 million Euro, last year, under the line, so after the pay out of all prominent bonuses, 295 million Euro remained. It’s Optivers best year ever. ‘Pretty funny actually’, contemplates a former employee. ‘In my days some of the option guys kept big positions themselves and we took big risks. In a year when the entire exchange collapses, they’re supposed to lose a lot of money. If we had a similar crash ten or fifteen years ago, Optiver would have gone bankrupt, same as other parties.’ But luckily for Kaemingk, Oomen and the other employees, who in 1998, after the cancellation of a initial public offering, again all shares pull to themselves, times have changed. In 2002 the last market makers leave the floor and the trading transfers towards the computer screens. The money is still being earned by the purchase and sale of stocks, by which the profit is made by the difference between the bid and offer price. Fast systems, programmed in a way to think like traders, make sure that sequel transactions are made immediately and automatically to cover risks. Whoever does that the fastest – and a milli second of thinking time does make a difference – can’t actually lose. However, if you want to make a lot, than you have to place big volumes, since the margins are minimal. The three hundred million Euro profit of 2008 is therefore the sum of a lot of pocket money. Nowadays, mostly computer nerds instead of market makers make the difference for Optiver. And no other company was able to stand the bending from floor to screen this good. Henk Beltman thanks Kaemingks vision, who as a good chess player is able to think a few steps ahead from the beginning. ‘Honestly, I thought to myself: we do a good job, so why should we be concerned? Let’s try to keep it a bit how it is, then a few people are able to make a living out of it. But Kaemingk always wanted to move forward, he is no pirate who wants to make a quick fortune. He kept on about being focused and disciplined. That meant we were always present at the trading floor.’
MANIPULATION The boys from Optiver remain obvious outsiders. While traders from other companies come together at the end of the day to celebrate their successes or to drink or sniff away the hangover from losing, the Optiver boys keep their cool. Of course, they go for a drink every now and then, but always only with each other and always in moderation. Possibly that also has to do with the fact that Optiver is already in a early stage very critical about what people should be hired. Where other parties if necessary get their traders from the Albert Cuyp, Optiver prefers graduates. ‘Preferably I wanted to hire theoretical physicists, since that’s the most difficult study that exists’, says Oomen. ‘Those are the people who are extremely suitable to build models. To my opinion stock trading is purely technical, as long as there is enough volume. And with the years, this has shown.’ Oomen is looking for smart guys who want to outshine in their business. Mostly the brilliant spirits aren’t in it for the money in the first place. Within Optiver there is no showing off. Even if millions are being earned, employees behave modest and steady manner. ‘I remember the time that a trader licked his bonus cheque and stuck it to the wall’, says a former employee on a base of anonymity. ‘Me remembering this, inclines its seldom. Furthermore, no one showed off with his money. The trader who came to work in a Ferrari after cashing in his bonus received a signal that this didn’t fit in Optiver’s culture.’ Optiver motto ‘behave ordinary’ means also not talking to journalists. The request of cooperation with this article is being decisively declined. The stock exchange director Doorbos also notices the decency of the boys from Optiver. And Johann Kaemingk in particular. ‘Johann is charming, honest and a pleasant human being. ‘Let me say it like this: If I created a rule implicating that certain things weren’t allowed, there were always some people who would just cross the border. Johann never joined them.’ Extra painful is the news in 2008 that Optiver is under suspicion from the American exchange watchdog CFTC saying they manipulated the trading in energy contracts. Not only is the company being sued, but also former Director Bastiaan van Kempen, Manager of the American branch Chris Dowson and Trading Director Randal Meijer, currently CEO. According to the commission they agreed in March 2007 on a recurring basis what is known as the TAS contracts. In those contracts, the price hasn’t been agreed on, since those are being calculated according the average rates from the last minutes of trading. By getting in big or stepping out, Optiver influenced the price in 5 cases, so is the opinion of CFTC. The company is supposed to made a million dollars with this technique, called ‘banging the close’. In order to support their plea that this is a purposeful tactic, the public body publishes intercepted e-mails and sound fragments from listening in, showing the accused discussing the deals. They do discuss it in terms like ‘bullying and whacking the market’. Literally translated: how can we torture, whipping the market. The gentlemen also discuss what to say in case someone asks whether this is a case of manipulation. Although this doesn’t sound entirely proper, insiders doubt if the accusations will survive in court. ‘At that time, we were dealing with the high oil price of 150 dollar a barrel. A lot of people had troubles with it and American politicians told the exchange watchdog to act upon it, since they thought it was all the caused by speculation, says an anonymous share holder of Optiver. ‘This was of course the case. There were a lot of speculators active. And they picked one: Optiver. But probably, what they did is not even illegal. I’m certain that the big American banks worked this way as well. Presumably they made sure a foreign party has been caught. The annoying part is that all traders who ever lost in oil trading, now claim. In America you don’t want lawyers chasing you.’ And indeed: at the moment, three class action cases took legal proceedings against Optiver. One of them is Roberto Gracey, whom over the last years has proceeded with at least three similar cases and is known overall as a privateer. It is uncertain how many people already joined some procedure, but for its own safety Optiver has already reserved seventeen million Euro for the completion of the legal claims.
WHIZ KIDS For journalists and other voyeurs, the accusations are fun to read because in spite of their proper image, Optiver employees turn out to be like ordinary people. So still Dowson daydreams about possessing an even bigger boat. The transcripts handed in as evidence, provide more insight on the proportion of the possession within Optiver. Van Kempen takes in 2007, besides his regular salary of 55 thousand dollar, according to the CFTC, 1.7 million dollar in his share of the profit of Optiver. That’s not all he has to live from, he also regains a bonus. And that isn’t a small one at Optiver. In illustration: in 2006 a HR recruiter told de Volkskrant that new employees are expected to get a bonus of twenty thousand Euro in their first year. After the second year that triples and afterwards the counter continues goes up to even more than €200,000. A lot of people use their bonus to buy shares in their own company, which ties the connection with Optiver. Also good for the team spirit is the habit to not level the traders on their own results but to share the profit resembling with all employees. ‘The fact of bonuses is, if different incomes are put in place, the people who are working towards a shared goal will be prized apart’, says Oomen. Traders need to be prepared at all times to accept loss if this makes a colleague able to make an even bigger profit. At trading company Van der Moolen it works differently: there was it one for one. It’s exactly this culture that created the recent downfall of the company, so claim insiders. Also on another level Optiver does work differently to its competitors. Take All Options from Allard Jakobs. With a profit of 220 million Euro in 2007, he is absolutely not a small player, but he thanks this profit to one deal which made him able to earn 217 million Euro. ‘Allard is absolutely the smartest kid from the year, but also an enormous gambler. This made him go bankrupt before. Although nowadays it went well in several occasions, it can’t be any different than this guy going down’, judges a trader. It’s no big surprise Jakobs wasn’t able to get used to his former employer at Optiver. The questions arise whether he would be employed nowadays. Traders not only have to pass a numerical test (with questions of the level: what is 10,3 divided by 2,8), they also have to take a psychological test. ‘Our people have to have an enormous amount of self-discipline and be able to accept their losses fast. This seems to be easy, but as a matter of fact, is very difficult. If we had two hundred applicants, it was a lot when we hired one or two of them’, clarifies Oomen. He wanted to prevent fortune-hunters from joining the company in an early stage. Other trading companies were less focused on this. Because of this, last year, the Amsterdam market maker Intal went bankrupt when a trader found a way to avoid the alarm systems and took irresponsible positions. Oomen: ’Risk Management is our first priority. And our second, third, fourth and fifth. We have known this for a long time, but other companies just found out in the recent crisis.’ Optiver still needs less and less traders and more IT people. The proportions nowadays is two whiz kids on one trader. They built trading systems with names like The Hammer and F1, that outshine in speed and are able to give an automatic trading price in a split second. Optiver is the most valuable company in the business thanks to this technological lead. This also brings us to the futures risk: you are able to lose a technological lead. This was found out by the Australian branch of the company, where Tibra Trading’s traders knew how to beat Optiver’s systems several times in a row. According to Optiver, who hired private detectives, this was only possible because of the newcomers –all coming from Optiver- stealing the source codes. Evidence exists of employees who, shortly for their departure, sent information on the system to their private e-mail addresses. It’s now up to the judges to decide whether there is enough clues that Tibra deals with stolen technology. The demand for the comparison of the two source codes by experts has already been assigned. In general, these are exciting times, since the Australian judge only has to decide that this is a case of theft or Optiver loses its leading position. And there is the case of competitors who are trying, at own strength, to match the systems. That day is inevitable, as the speed of traders will reach its maximum. Optiver therefore looks for different markets. In the beginning this brought us an example in our own country. Optiver launched trading system TOM in close cooperation with Binck Bank. If clients from Binck want to trade stocks or derivatives that are traded by Optiver as well, both parties can trade outside the exchange. This increases the amount of transaction costs. Competitors were pretty disappointed to only be able to join TOM in more than two years. Optiver was able to create a lead of two years on itself in this subarea. In spite of this cleverness, Optiver is unlikely to beat its profit of 2008. It will probably be known as one of the best years ever, so traders think. ‘We experienced some special circumstances. The exchange moved heavily. It felt like the Wild West, a lot of trading took place and this made us able to earn a lot. But it’s unlikely to experience a year like this again. In the mean time, it’s really quiet on the exchange. Especially with the index going up very slowly, like it’s happening at the moment, with say, half a per cent each day, this is killing for the trading. In Optiver’s case it’s better to drop down very hard.’

So I have been studying maths again now for almost 2 months, on my third textbook moving through all of high school math again.
Im on this journey to prove to myself I was always smart enough. I just never applied myself (I was one of those kids who just gamed instead of studied back then). These days I am doing quite well, and have always figured out how to solve my problems. I have now wanted to make up for lost time. I have a huge intelligence insecurity around meeting people who have exceptional math grades, like those are the people who are truly smart.
I am doing all this to get myself prepped for the main goal of learning linear algebra and calculus (I want to back myself getting into data science to compliment my current job). Been in software dev for over 10 years, and have strong python skills. I just have a personality that always wants to know the “why”.
How do you know when enough is enough to move on? Some days are good - and others I get disheartened with the sheer volume of material to learn (im literally going page by page through our year 12 maths advanced books, trying to do every question). There is so many small and obscure topics. I get this weird guilt where I feel like I have to stay on a topic until i can do everything blindfolded. Anyone else struggle with this? Id assume the better strategy should be more about an “understanding” of say the calculus problem space (derivatives and integrals), rather than being so proficient I could teach it myself and compete every super hard challenge question in the book. (Do you guys you always do these before moving on?)
Ive always been in admiration of you out there who just owned maths in school, and seem to have this idea in my head that you can all do this entire textbook without even thinking 😁. Long post I know!