In Differential Quotes & Sayings

There is a mathematical underpinning that you must first acquire, mastery of each mathematical subdiscipline leading you to the threshold of the next. In turn you must learn arithmetic, Euclidian geometry, high school algebra, differential and integral calculus, ordinary and partial differential equations, vector calculus, certain special functions of mathematical physics, matrix algebra, and group theory. For most physics students, this might occupy them from, say, third grade to early graduate school - roughly 15 years. Such a course of study does not actually involve learning any quantum mechanics, but merely establishing the mathematical framework required to approach it deeply. — Carl Sagan

I'm really good with problems. I can solve a differential equation in my head. I chew through trig angles like candy. I know this, and it just makes it worse. Because I don't know how to solve this one. — Kekla Magoon

Including the differential mortgage loan approval rates between Asian Americans and whites shows that the same methods to conclude that that blacks are discriminated against in mortgage lending would also lead to the conclusion that whites are discriminated against in favor of Asian Americans, reducing this whole procedure to absurdity, since no one believes that banks are discriminating against whites ... [W]hen loan approval rates are not cited, but loan denial rates are, that creates a larger statistical disparity, since most loans are approved. Even if 98 percent of blacks had their mortgage loan applications approved, if 99 percent of whites were approved than by quoting denial rates alone it could be said that blacks were rejected twice as often as whites. — Thomas Sowell

If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair success. — Max Born

I would suggest that especially in the differential of images that arise, in the inflections that we find within the representations of women we may also recover a subjectivity for women. For this reason also I am specifically interested in bringing to light other models for women's roles, models that upset business as usual and offer a greater diversity of possibilities for the easy we can imagine women. — Loriliai Biernacki

I thought of computers as very low class. I thought of myself as a pure mathematician and was interested in partial differential equations and topology and things like that. — Whitfield Diffie

At the Stourbridge Fair in 1663, at age twenty, he purchased a book on astrology, "out of a curiosity to see what there was in it." He read it until he came to an illustration which he could not understand, because he was ignorant of trigonometry. So he purchased a book on trigonometry but soon found himself unable to follow the geometrical arguments. So he found a copy of Euclid's Elements of Geometry, and began to read. Two years later he invented the differential calculus. — Carl Sagan

We have the only cookbook in the world that has partial differential equations in it. — Nathan Myhrvold

For memetics to be a reasonable research programme, it should be the case that copying, and differential success in causing the multiplication of copies, overwhelmingly plays the major role in shaping all or at least most of the contents of culture. Evolved domain-specific psychological dispositions, if there are any, should be at most a relatively minor factor that could be considered part of background conditions. — Dan Sperber

Rain is the last thing you want when you're chasing someone in Miami. They drive shitty enough as it is, but on top of that, snow is a foreign concept, which means they never got the crash course in traction judgment for when pavement slickness turns less than ideal. And because of the land-sea temperature differential, Florida has regular afternoon rain showers. Nothing big, over in a jiff. But minutes later, all major intersections in Miami-Dade are clogged with debris from spectacular smash-ups. In Northern states, snow teaches drivers real fast about the Newtonian physics of large moving objects. I haven't seen snow either, but I drink coffee, so the calculus of tire-grip ratio is intuitive to my body. — Tim Dorsey

Well, not the stuff they use in robotics, which I wouldn't follow, but sociological relationships I can handle. For instance, I'm familiar with the Teramin Relationship." "The what, sir?" "Maybe you have a different name for it. The differential of inconveniences suffered with privileges granted: dee eye sub jay taken to the nth - - " "What are you talking about? — Isaac Asimov

The chief difficulty of modern theoretical physics resides not in the fact that it expresses itself almost exclusively in mathematical symbols, but in the psychological difficulty of supposing that complete nonsense can be seriously promulgated and transmitted by persons who have sufficient intelligence of some kind to perform operations in differential and integral calculus ... — Celia Green

In matters outside the courtroom, courts have decried differential treatment between print and broadcast media. New York City mayoral candidates Mario Cuomo and Edward Koch tried to exclude selected members of the media in 1977 by limiting access to their campaign headquarters to those who had received invitations. Ruling in American Broadcasting Cos. v. Cuomo, a federal court observed, "once there is a public function, public comment, and participation by some of the media, the First Amendment requires equal access to all of the media or the rights of the First Amendment would no longer be tenable."44
In 1981, a federal court in Georgia struck down a judge's order excluding television crews from a White House press pool. The court said the order violated the press and public's First Amendment right of access to White House events. It felt television coverage "provides a comprehensive visual element and an immediacy, or simultaneous aspect, not found in print — Marjorie Cohn

I argue that even as the war is framed in certain ways to control and heighten affect in relation to the differential grievability of lives, so war has come to frame ways of thinking multiculturalism and debates on sexual freedom, issues largely considered separate from foreign affairs. — Judith Butler

The aim of Mathematical Physics is not only to facilitate for the physicist the numerical calculation of certain constants or the integration of certain differential equations. It is besides, it is above all, to reveal to him the hidden harmony of things in making him see them in a new way. — Henri Poincare

A study of interactions between women and obstetricians offers an explanation. It described three levels of increasing power imbalance: In the first, you fight and lose; in the second you don't fight because you know you can't win. However, in the highest level of power differential, your preferences are so manipulated that you act against your own interests, but you are content. Elective [meaning requested for no medical reason, not to be confused with needed surgery planned in advance] repeat cesarean exemplifies that highest level. — Henci Goer

Leaders create an environment in which everyone has the opportunity to do work which matches his potential capability and for which an equitable differential reward is provided. — Elliott Jaques

Man's destiny is to know, if only because societies with knowledge culturally dominate societies that lack it. Luddites and anti-intellectuals do not master the differential equations of thermodynamics or the biochemical cures of illness. They stay in thatched huts and die young. — E. O. Wilson

Around the turn of the century Amazon was caught up in a controversy about "differential pricing." Essentially this means that an online site might charge you more for given items than it charges other people, like your neighbors.2 Amazon stated at the time that it was not really discrimination, but experimentation. It was offering different prices to different people to see what they would pay. There is nothing special about Amazon in this regard. Another example is the travel site Orbitz, which was found to be directing users of more expensive computers to more expensive travel options.3 Who could be surprised? It is natural for a business to take — Jaron Lanier

Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc ... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus. — Abraham Robinson

The physical structure of the Internet presents a suggestive story about the concentration of power - it contains "backbones" and "hubs" - but power on the Internet is not spatial but informational; power inheres in protocol. The techno-libertarian utopianism associated with the Internet, in the gee-whiz articulations of the Wired crowd, is grounded in an assumption that the novelty of governance by computer protocols precludes control by corporation or state. But those entities merely needed to understand the residence of power in protocol and to craft political and technical strategies to exert it. In 2006, U.S. telecommunications providers sought to impose differential pricing on the provision of Internet services. The coalition of diverse political interests that formed in opposition - to preserve "Net Neutrality" - demonstrated a widespread awareness that control over the Net's architecture is control of its politics. — Samir Chopra

This is what income inequality means in America, and why the gap between the very rich and everyone else is growing wider. According to a recent study, CEO pay is now 295 times more than the pay of a typical worker. In 1965, the differential was 20 times. We must create an economy that works for all, not just the top 1%. — Bernie Sanders

The difficulty involved in the proper and adequate means of describing changes in continuous deformable bodies is the method of differential equations ... They express mathematically the physical concept of contiguous action.
Einstein's Theory of Relativity — Max Born

How did Biot arrive at the partial differential equation? [the heat conduction equation] ... Perhaps Laplace gave Biot the equation and left him to sink or swim for a few years in trying to derive it. That would have been merely an instance of the way great mathematicians since the very beginnings of mathematical research have effortlessly maintained their superiority over ordinary mortals. — Clifford A. Truesdell

You were outside?" I said.
"Making reindeer tracks."
I lifted my brows.
"Did you hear the kids earlier, talking about reindeer?"
Kate had been concerned that the chalet roof was too steep for the reindeer to touch down on, and Logan insisted they didn't really fly.
[ ... ]
"So you made reindeer tracks?" I said.
"I did. Not on the roof, of course. That wouldn't work. But they landed in the middle of the yard, then walked over to the house. I figured that should do the trick. I considered adding deer droppings, but Logan would figure out the size differential, so I settled for tracks. Plus a few tufts of deer hair caught in the bushes."
"And you gave our kids flying reindeer."
"I did."
I put my arms around his neck, and wrapped my hands in his damp hair and kissed him.
"God, I love you. — Kelley Armstrong

Given the historical power differential between blacks and whites, blacks are required to be attentive to the way their white counterparts see themselves in relation to people of color if they want to survive and even thrive. — James A. Forbes

In such a view, time is not emergent. It is, in fact, the only aspect of reality that cannot emerge from a more fundamental background. We register its reality, always and everywhere, by recognizing the differential character of change: some things change relative to other things. However, the kinds of things that there are also change, and so do the ways in which they change. That is what time is: the transformation of transformation. — Roberto Mangabeira Unger

An essential pedagogic step here is to relegate the teaching of mathematical methods in economics to mathematics departments. Any mathematical training in economics, if it occurs at all, should come after students have at the very least completed course work in basic calculus, algebra and differential equations (the last being one about which most economists are woefully ignorant). This simultaneously explains why neoclassical economists obsess too much about proofs and why non-neoclassical economists, like those in the Circuit School, experience such difficulties in translating excellent verbal ideas about credit creation into coherent dynamic models of a monetary production economy. — Steve Keen

Differential equations won't help you much in the design of aeroplanes - not yet, anyhow. — Nevil Shute

But the point is that a story is exciting because it has in it so strong an element of will, of what theology calls free-will. You cannot finish a sum how you like. But you can finish a story how you like. When somebody discovered the Differential Calculus there was only one Differential Calculus he could discover. But when Shakespeare killed Romeo he might have married him to Juliet's old nurse if he had felt inclined. And Christendom has excelled in the narrative romance exactly because it has insisted on the theological free-will. — G.K. Chesterton

Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so. — Niels Henrik Abel

How many black holes have we been up close and personal with?" Kosta countered. "All sorts of odd things happen near the event horizon, from huge tidal forces to variations in time. Personally, I'm voting on it having to do with gravity, either a polarization of the fields themselves or else something related to the time differential."
I didn't know physics had become a democracy," Hanan murmered. — Timothy Zahn

Interestingly, differential cryptanalysis was first discovered in the research community in 1990. At this point, the IBM team declared that the attack was known to the designers at least 16 years earlier, and that DES was especially designed to withstand differential cryptanalysis. Finally, — Christof Paar

You Bastard was thinking: there seems to be some growing dimensional instability here, swinging from zero to nearly forty-five degrees by the look of it. How interesting. I wonder what's causing it? Let V equal 3. Let Tau equal Chi/4. cudcudcud Let Kappa/y be an Evil-Smelling-Bugger* (* Renowned as the greatest camel mathematician of all time, who invented a math of eight-dimensional space while lying down with his nostrils closed in a violent sandstorm.) differential tensor domain with four imaginary spin co-efficients ... — Terry Pratchett

We had been seen. The thought stayed with me as I disposed of the leftovers - how could it not? I drove with one eye on the rearview mirror, waiting for the blinding burst of blue light to flare at my bumper and the brief harsh whoop! of a siren. But nothing came; not even after I ditched Valentine's car, climbed into mine, and drove carefully home. Nothing. I was left entirely at liberty, all alone, pursued only by the demons of my imagination. It seemed impossible - someone had seen me at play, as plainly as it was possible to be seen. They had looked at the carefully carved pieces of Valentine, and the happy-weary carver standing above them, and it would not take a differential equation to arrive at a solution to this problem - A plus B equals a seat in Old Sparky for Dexter, and someone had fled with this conclusion in perfect comfort and safety - but they had not called the police? It — Jeff Lindsay

The integrals which we have obtained are not only general expressions which satisfy the differential equation, they represent in the most distinct manner the natural effect which is the object of the phenomenon ... when this condition is fulfilled, the integral is, properly speaking, the equation of the phenomenon; it expresses clearly the character and progress of it, in the same manner as the finite equation of a line or curved surface makes known all the properties of those forms. — Joseph Fourier

It must be admitted that science has its castes. The man whose chief apparatus is the differential equation looks down upon one who uses a galvanometer, and he in turn upon those who putter about with sticky and smelly things in test tubes. — Gilbert Newton Lewis

It may be said that the conceptions of differential quotient and
integral, which in their origin certainly go back to Archimedes,
were introduced into science by the investigations of Kepler,
Descartes, Cavalieri, Fermat and Wallis ... — Sophus Lie

In the same sense that every thermal differential wants to equalize itself, and every computer program wants to become a collection of ad-hoc patches, every Cause wants to be a cult. It's — Eliezer Yudkowsky

While researching this answer, I managed to lock up my copy of Mathematica several times on balloon-related differential equations, and subsequently got my IP address banned from Wolfram|Alpha for making too many requests. The ban-appeal form asked me to explain what task I was performing that necessitated so many queries. I wrote, "Calculating how many rental helium tanks you'd have to carry with you in order to inflate a balloon large enough to act as a parachute and slow your fall from a jet aircraft." Sorry, Wolfram. — Randall Munroe

I was brought up in southwestern Ontario where we were taught that Canadian patriotism should not withstand anything more than a five-dollar-a-month wage differential. Anything more than that and you went to Detroit. — John Kenneth Galbraith

In order to solve this differential equation you look at it till a solution occurs to you. — George Polya

Nothing has afforded me so convincing a proof of the unity of the Deity as these purely mental conceptions of numerical and mathematical science which have been by slow degrees vouchsafed to man, and are still granted in these latter times by the Differential Calculus, now superseded by the Higher Algebra, all of which must have existed in that sublimely omniscient Mind from eternity. — Mary Somerville

We urgently need to find ways to push scientific and technological progress in directions that are likely to bring us good, and away from those directions that spell doom. This cannot be done if we stick to the erroneous view that all such progress is good for us. The first thing we need is to be able to distinguish those advances whose potential is most in the direction of prosperity and human flourishing from those whose potential is more in the direction of destruction and doom, and we need to find safe ways to handle those technologies that come with elements of both. Our ability to do so today is very limited, my ambition with this book is to draw attention to the problem, so that we can work together to improve, and avoid running blindfolded at full speed into a dangerous future. — Olle Haggstrom

Basically, we try to buy value expressed in the differential between its price and what we think its worth. — Walter Schloss

Newton, of course, was the inventor of differential calculus so his place in the tale is quite special. — Kit Williams

The education situation which most effectively promotes significant learning is one in which (1) threat to the self of the learner is reduced to a minimum and (2) differential perception of the field of experience is facilitated — Carl Rogers

I know this may sound like an excuse," he said. "But tensor functions in higher differential topology, as exemplified by application of the Gauss-Bonnett Theorem to Todd Polynomials, indicate that cohometric axial rotation in nonadiabatic thermal upwelling can, by random inference derived from translational equilibrium aggregates, array in obverse transitional order the thermodynamic characteristics of a transactional plasma undergoing negative entropy conversions."
"Why don't you just shut up," said Hardesty. — Mark Helprin

By June 1949 people had begun to realize that it was not so easy to get a program right as had at one time appeared. I well remember when this realization first came on me with full force. The EDSAC was on the top floor of the building and the tape-punching and editing equipment one floor below on a gallery that ran round the room in which the differential analyzer was installed. I was trying to get working my first non-trivial program, which was one for the numerical integration of Airy's differential equation. It was on one of my journeys between the EDSAC room and the punching equipment that "hesitating at the angles of stairs" the realization came over me with full force that a good part of the remainder of my life was going to be spent in finding errors in my own programs. — Martin Campbell-Kelly

The great paradox of the civil rights revolution is that instead of enforcing and expanding equality before the law, the revolution created differential rights based on race, gender and, any day now, sexual orientation. The great liberal revolution, centuries in the making, that brought forth equality in law has been overthrown. In its place we see rising a new feudal legal order of status-based rights. — Paul Craig Roberts

Democracy turns upon and devours itself. Universal suffrage, in theory the palladium of our liberties, becomes the assurance of our slavery. And that slavery will grow more and more abject and ignoble as the differential birth rate, the deliberate encouragement of mendicancy and the failure of popular education produce a larger and larger mass of prehensile half-wits, and so make the demagogues more and more secure. — H.L. Mencken

There was a three hour differential in performances because the sponsor insisted it be done live for California. You would go on at 8 pm in New York but you would also have to go on at 8 p.m. in California. That meant coming back in to do the show at 11 p.m. — Dick York

Natural selection is all about the differential success of rival DNA in getting itself transmitted vertically in the species archives. — Richard Dawkins

Stalin was the most audible and powerful spokesman in the campaign against what he contemptuously called uravnilovka (leveling). His hostility - voiced in sarcastic and dismissive terms - was so deep and so clearly enunciated that it rapidly became state policy and social doctrine. He believed in productive results, not through spontaneity or persuasion, but through force, hierarchy, reward, punishment, and above all differential wages. He applied this view to the whole of society. Stalin's anti-egalitarianism was not born of the five-year plan era. He was offended by the very notion and used contemptuous terms such as "fashionable leftists", "blockheads", "petty bourgeois nonsense" and "silly chatter," thus reducing the discussion to a sweeping dismissal of childish, unrealistic, and unserious promoters of equality. The toughness of the delivery evoked laughter of approval from his audience. — Richard Stites

I'm very good at integral and differential calculus, I know the scientific names of beings animalculous; In short, in matters vegetable, animal, and mineral, I am the very model of a modern Major-General. — W.S. Gilbert

Wherever I'm going, I'll be there to apply the formula. I'll keep the secret intact.
It's simple arithmetic.
It's a story problem.
If a new car built by my company leaves Chicago traveling west at 60 miles per hour, and the rear differential locks up, and the car crashes and burns with everyone trapped inside, does my company initiate a recall?
You take the population of vehicles in the field (A) and multiple it by the probable rate of failure (B), then multiply the result by the average cost of an out-of-court settlement (C).
A times B times C equals X. This is what it will cost if we don't initiate a recall.
If X is greater than the cost of a recall, we recall the cars and no one gets hurt.
If X is less than the cost of a recall, then we don't recall. — Chuck Palahniuk

The development of methods to monitor protein dynamics in cells together with the discovery of specific and general lysosomal inhibitors have resulted in the identification of different classes of cellular proteins, long- and short-lived, and the findings of the differential effects of the inhibitors on these groups. — Aaron Ciechanover

2:40AM - 2:41AM (erotic_performance.exe): The curtain opened to reveal a Gateway 2000 computer and monitor running a Fenestra 98 operating system. The display booted up and opened a program on its desktop. The computer then began to rapidly recite a multitude of differential equations as well as their respective 3D graphical representations for 20 seconds. At the end of the program, the monitor displayed the word "INSERT" in the form of a screensaver. D-6744 and D-3432 both inserted $5 into its floppy drive. The curtain then closed at the end of the show. — Anonymous

Expected outcomes contribute to motivation independently of self-efficacy beliefs when outcomes are not completely controlled by quality of performance. This occurs when extraneous factors also affect outcomes, or outcomes are socially tied to a minimum level of performance so that some variations in quality of performance above and below the standard do not produce differential outcomes — Albert Bandura

Can people of color be racist?" I reply, "The answer depends on your definition of racism." If one defines racism as racial prejudice, the answer is yes. People of color can and do have racial prejudices. However, if one defines racism as a system of advantage based on race, the answer is no. People of color are not racist because they do not systematically benefit from racism. And equally important, there is no systematic cultural and institutional support or sanction for the racial bigotry of people of color. In my view, reserving the term racist only for behaviors committed by whites in the context of a white-dominated society is a way of acknowledging the ever-present power differential afforded whites by the culture and institutions that make up the system of advantage and continue to reinforce notions of white superiority. (Using the same logic, I reserve the word sexist for men. Though women can and do have gender-based prejudices, only men systematically benefit from sexism.) — Paula S. Rothenberg

Objectivity means being accountablefor marks on bodies, that is, specific materializations in their differential mattering. We are responsible for the cuts that we help enact not because we do the choosing (neither do we escape responsibility because "we" are "chosen" by them), but because we are an agential part of the material becoming of the universe. — Karen Barad

Now, I like to think that I'm of reasonable intelligence, but ordinary differential equations and myself...we don't really hang in the same comprehension circles. So, try as I might to follow my teacher's logic in how he got 3f"(x) + 5xf(x) to equal eleven, I never quite understood. His answer in no way, shape, or form resembled mine, and this misalignment -this complete confusion of how point A got to point B- is kind of where I'm at right now. "Dreaming?" I repeat dubiously. — E.J. Mellow

As I was working I noticed that the way I designed the differential gearing actually created a spare drive that sat directly below the emperor's feet, or where they would be if he were to sit in the chariot. — Kit Williams

Consider paint a film of light reflecting/absorbing material, and a colored paint a material which gives a particular, characteristic transmission of light via differential absorption and reflection. Call this reflected quality 'luminance' and measure it in millilamberts. This measure is as real and present as height, breadth, depth; and I find the phenomenon equally sumptuous and convincing ... Painted light, not color, not form, not perspective, or line, not image, or words, or equations, is painting. I make paintings which do not represent light, they are light. — Jo Baer

The differential element of non-Euclidean spaces is Euclidean. This fact, however, is analogous to the relations between a straight line and a curve, and cannot lead to an epistemological priority of Euclidean geometry, in contrast to the views of certain authors. — Hans Reichenbach

The cross-section of a helicopter blade, according to Sarah, is more or less the same as the wing of an aeroplane. Its shape creates a pressure differential in the air passing over its upper and lower surfaces, producing a consequent lift. It differs from an aeroplane wing, however, in that when a helicopter moves forward, air starts passing over the blade that's coming forward faster than it passes over the blade that's going backwards. This produces unequal lift on the two sides of the helicopter, and the faster it goes, the more unequal the lift becomes. Eventually the 'retreating' blade stops producing any lift at all, and the helicopter flips on to its back and drops out of the sky. This, according to Sarah, was a negative aspect. — Hugh Laurie

As Dalla Costa put it, women's unpaid
labor in the home has been the pillar upon which the exploitation of the waged workers, "wage slavery," has been built, and the secret of ies productivity (1972:31). Thus, the power differential between women and men in capitalist societry cannot be attributed to the irrelevance of housework for capitalist accumulation - an irrelevance belied by the strict rules that have governed women's lives - nor CO the survival of timeless cultural schemes. Rather, it should be interpreted as the effect of a social system of production that does not recognize the production and reproduction of the worker as a social-economic activity. and a source of capital accumulation, but mystifies it instead as a natural resource or a personal service, willie profiting from the wageless conclition of the labor involved. — Silvia Federici

We were all involved in the death of John Kennedy. We tolerated hate; we tolerated the sick stimulation of violence in all walks of life; and we tolerated the differential application of law, which said that a man's life was sacred only if we agreed with his views. This may explain the cascading grief that flooded the country in late November. We mourned a man who had become the pride of the nation, but we grieved as well for ourselves because we knew we were sick. — Martin Luther King Jr.

Training in rapid acoustic discrimination can apparently induce the left prefrontal cortex, which is normally attuned to fast-changing acoustic stimuli but is disrupted in dyslexics, to do its job. The region, even in adults, remains "plastic enough...to develop such differential sensitivity after intensive training," the scientists concluded. — Jeffrey M. Schwartz