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Calculus Quotes

Love can reach the same level of talent, and even genius, as the discovery of differential calculus Picture Quote #1

...a major triumph of mathematical imagination: the use of visual imagery to condense a large quantity of information into a single comprehensible picture... Mathematicians are just beginning to understand these basic building blocks of change and to analyze how they combine. The methodology involved has a very different spirit from traditional modeling with differential equations: it is more like chemistry than calculus, requiring careful counterpoint between analysis and synthesis Picture Quote #1

It’s a hard, simple calculus: Run until you can’t run anymore. Then run some more. Find a new source of energy and will. Then run even faster Picture Quote #1

I think that under ordinary circumstances (i.e., neither person is famous), it’s already hard enough to make a long-term romantic relationship work, but add fame to the calculus Picture Quote #1

When I was in school, my favorite subject was math. I took algebra and calculus. At an early age I grasped it and understood it quickly. I just enjoyed breaking the codes and solving problems Picture Quote #1

One good thing about teaching calculus is that you develop a hardened attitude towards repeating yourself Picture Quote #1

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We can’t exempt ourselves from the same moral calculus that we are willing to apply to others Picture Quote #1

My first degree came years before my second. I had wanted to be a physicist, but I flunked calculus Picture Quote #1

I was more interested in skating and the girls and traveling than I was in calculus Picture Quote #1

For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate to the subtlety of nature Picture Quote #1

The calculus of utility aims at supplying the ordinary wants of man at the least cost of labour Picture Quote #1

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point Picture Quote #1

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I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country Picture Quote #1

We do not live in a time when knowledge can be extended along a pathway smooth and free from obstacles, as at the time of the discovery of the infinitesimal calculus, and in a measure also when in the development of projective geometry obstacles were suddenly removed which, having hemmed progress for a long time, permitted a stream of investigators to pour in upon virgin soil. There is no longer any browsing along the beaten paths; and into the primeval forest only those may venture who are equipped with the sharpest tools Picture Quote #1

The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking Picture Quote #1

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus Picture Quote #1

The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word Picture Quote #1

As you will find in multivariable calculus, there is often a number of solutions for any given problem Picture Quote #1

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Computer science is to biology what calculus is to physics. It’s the natural mathematical technique that best maps the character of the subject Picture Quote #1

In the moral calculus of currently prevailing state capitalism, profits and bonuses in the next quarter greatly outweigh concern for the welfare of one’s grandchildren, and since these are institutional maladies, they will not be easy to overcome. While much remains uncertain, we can assure ourselves, with fair confidence, that future generations will not forgive us our silence and apathy Picture Quote #1

It’s a hard, simple calculus: Run until you can’t run anymore. Then run some more. Find a new source of energy and will. Then run even faster Picture Quote #1

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 Picture Quote #1

Mathematics is ordinarily considered as producing precise and dependable results; but in the stock market the more elaborate and abstruse the mathematics the more uncertain and speculative are the conclusions we draw there from. Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment Picture Quote #1

You can do anything if you set your mind to it. Look out for kids, help them dream and be inspired. We teach calculus in schools, but I believe the most important formula is courage plus dreams equals success Picture Quote #1

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I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus Picture Quote #1

The teaching of the ten thousand states of mind, particularly as one advances further, is done through transmission. This is where we differ from teaching algebra or calculus Picture Quote #1

If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing Picture Quote #1

In the calculus of feelings, you never really know how one person’s absence will affect you more than another’s Picture Quote #1

Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be Picture Quote #1

After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way Picture Quote #1

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Love can reach the same level of talent, and even genius, as the discovery of differential calculus. (Calculus Quotes) ...a major triumph of mathematical imagination: the use of visual imagery to condense a large quantity of information into a single comprehensible picture... Mathematicians are just beginning to understand these basic building blocks of change and to analyze how they combine. The methodology involved has a very different spirit from traditional modeling with differential equations: it is more like chemistry than calculus, requiring careful counterpoint between analysis and synthesis. (Calculus Quotes) It’s a hard, simple calculus: Run until you can’t run anymore. Then run some more. Find a new source of energy and will. Then run even faster. (Calculus Quotes) I think that under ordinary circumstances (i.e., neither person is famous), it’s already hard enough to make a long-term romantic relationship work, but add fame to the calculus. (Calculus Quotes) When I was in school, my favorite subject was math. I took algebra and calculus. At an early age I grasped it and understood it quickly. I just enjoyed breaking the codes and solving problems. (Calculus Quotes) One good thing about teaching calculus is that you develop a hardened attitude towards repeating yourself. (Calculus Quotes) We can’t exempt ourselves from the same moral calculus that we are willing to apply to others (Calculus Quotes) My first degree came years before my second. I had wanted to be a physicist, but I flunked calculus (Calculus Quotes) I was more interested in skating and the girls and traveling than I was in calculus (Calculus Quotes) For each successive class of phenomena, a new calculus or a new geometry, as the case might be, which might prove not wholly inadequate to the subtlety of nature (Calculus Quotes) The calculus of utility aims at supplying the ordinary wants of man at the least cost of labour (Calculus Quotes) The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point (Calculus Quotes) I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country (Calculus Quotes) We do not live in a time when knowledge can be extended along a pathway smooth and free from obstacles, as at the time of the discovery of the infinitesimal calculus, and in a measure also when in the development of projective geometry obstacles were suddenly removed which, having hemmed progress for a long time, permitted a stream of investigators to pour in upon virgin soil. There is no longer any browsing along the beaten paths; and into the primeval forest only those may venture who are equipped with the sharpest tools (Calculus Quotes) The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking (Calculus Quotes) If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus (Calculus Quotes) The calculus is the greatest aid we have to the application of physical truth in the broadest sense of the word (Calculus Quotes) As you will find in multivariable calculus, there is often a number of solutions for any given problem (Calculus Quotes) Computer science is to biology what calculus is to physics. It’s the natural mathematical technique that best maps the character of the subject (Calculus Quotes) In the moral calculus of currently prevailing state capitalism, profits and bonuses in the next quarter greatly outweigh concern for the welfare of one’s grandchildren, and since these are institutional maladies, they will not be easy to overcome. While much remains uncertain, we can assure ourselves, with fair confidence, that future generations will not forgive us our silence and apathy (Calculus Quotes) It’s a hard, simple calculus: Run until you can’t run anymore. Then run some more. Find a new source of energy and will. Then run even faster (Calculus Quotes) 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 (Calculus Quotes) Mathematics is ordinarily considered as producing precise and dependable results; but in the stock market the more elaborate and abstruse the mathematics the more uncertain and speculative are the conclusions we draw there from. Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment (Calculus Quotes) You can do anything if you set your mind to it. Look out for kids, help them dream and be inspired. We teach calculus in schools, but I believe the most important formula is courage plus dreams equals success (Calculus Quotes) I never failed in mathematics. Before I was fifteen I had mastered differential and integral calculus (Calculus Quotes) The teaching of the ten thousand states of mind, particularly as one advances further, is done through transmission. This is where we differ from teaching algebra or calculus (Calculus Quotes) If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing (Calculus Quotes) In the calculus of feelings, you never really know how one person’s absence will affect you more than another’s (Calculus Quotes) Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be (Calculus Quotes) After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way (Calculus Quotes)

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