Quotes About Calculus

In a colorful part of the paper, he presented a fictional scenario in which he posed questions to the machine. He imagined the machine's activity: "Over the week-end it retrieved over 10,000 documents, scanned them all for sections rich in relevant material, analyzed all the rich sections into statements in a high-order predicate calculus, and entered the statements into the data base.

This is a tricky domain because, unlike simple arithmetic, to solve a calculus problem - and in particular to perform integration - you have to be smart about which integration technique should be used: integration by partial fractions, integration by parts, and so on.

The infinite in mathematics is alway unruly unless it is properly treated.

differentiation is the adjoint of the boundary operation.

the second derivative conveys just the idea we want—a comparison between the value at x and the average value near x. It is worth noting that if f is linear, then the average of f(x - h) and f(x + h) will be equal to f(x), which fits with the familiar fact that the second derivative of a linear function f is zero.

Romance under capitalism is a form of investment, and even a risky investment, as romance sometimes is, remains within the calculus of risk and loss. Love transcends any calculus and forces the subject to abandon its identity entirely, not simply stake its reputation or its fortune.

In the calculus of the heart it is the ratio of positive to negative emotions that determines the sense of well- being.

As nuclear weapons spread into more and more hands, the calculus of deterrence grows increasingly ephemeral and deterrence less and less reliable. In a widely proliferated world, it becomes ever more difficult to decide who is deterring whom and by what calculations.

This machine is driven in part by the oscillations of novelty and familiarity, of hunger and satiation, that curious internal psychophysical calculus that causes us to tire of food, music, the color orange. But it is also driven in part by the subtle movements of people trying to be like each other and people trying to be different from each other.

One good thing about teaching calculus is that you develop a hardened attitude towards repeating yourself.

We are finite creatures, bound to this place and this time, and helpless before an endless expanse. It is within the calculus that for the first time the infinite is charmed into compliance, its luxuriance subordinated to the harsh concept of a limit.

Last night I went and saw Good Will Hunting, which takes place not exactly where I used to live, in Boston, but pretty darn close, so I've been all flush with nostalgia for it. I was in Boston from summer of '89 until spring of '92... ...I think it's the ultimate nerd fantasy movie. It's a bit of a fairy tale, but I enjoyed it a lot. Minnie Driver is really to fall sideways for. And there's all sorts of cool stuff. It's actually a movie that's got calculus in it. It takes place in Boston.

The closest conventional analogue I could derive for this figure was a cycloid, L'Hôpital's solution to Bernoulli's famous Brachistochrone Problem, the curve traced by a fixed point on the circumference of a circle rolling along a continuous plane.

There's a popular concept of 'intelligence' as book smarts, like calculus or chess, as opposed to, say, social skills. So people say that 'it takes more than intelligence to succeed in human society.' But social skills reside in the brain, not the kidneys.

We shall venture into even more speculative reflections on possible neural structures that would be consistent with our calculus.

A mathematician is not a man who can readily manipulate figures; often he cannot. He is not even a man who can readily perform the transformation of equations by the use of calculus. He is primarily an individual who is skilled in the use of symbolic logic on a high plane, and especially he is a man of intuitive judgment in the choice of the manipulative processes he employs.

You know how to use magic?" I asked. "I prefer calculus.

Alongside the liberating relief of the veteran who tells us his story, I now felt in the writing a complex, intense, and new pleasure, similar to that I felt as a student when penetrating the solemn order of differentials calculus. It was exalting to search and find, or create, the right word, that is, commensurate, concise, and strong; to dredge up events from my memory and describe them with the greatest rigor and the least clutter.

Regret is the quintessential upward counterfactual—the ultimate If Only. The source of its power, scientists are discovering, is that it muddles the conventional pain-pleasure calculus.[10] Its very purpose is to make us feel worse—because by making us feel worse today, regret helps us do better tomorrow.

Non-Euclidean calculus and quantum physics are enough to stretch any brain; and when one mixes them with folklore, and tries to trace a strange background of multi-dimensional reality behind the ghoulish hints of Gothic tales and the wild whispers of the chimney-corner, one can hardly expect to be wholly free from mental tension.

Common integration is only the memory of differentiation.

Starting in the seventeenth century, the general theory of extreme values - maxima and minima - has become one of the systematic integrating principles of science.

In these ways, the racial distribution of groups in the prison population becomes a dramatic stage on which the rest of society works out, in various modes, its calculus of white supremacy. The racism within the prisons provides a platform by which the larger society continually sharpens up its racial calculus.

It is a fortunate and astonishing fact that the fundamental laws of our fantastic fidgety universe are based on relatively simple equations. If it were otherwise, we surely would know less than we know now about how our universe behaves, and Newton and Leibniz would probably never have invented (or discovered?) calculus.