Quotes & Sayings About Mathematical Functions

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

The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real material world, even if he has to speak of numbers, vectors, tensors, state-functions, or whatever to make the abstraction. — Hilary Putnam

If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future). — Benoit Mandelbrot

I was never very good at math and science, to be honest, so it's fun to play a character that is so scientific and mathematical, and whose brain functions at such a high pace. The biggest difference is that Maura is very linear in her thinking and very logical. I'm not quite like that. I'm much more laid back and not quite so type A. That's the big difference. — Sasha Alexander

Tengo's lectures took on uncommon warmth, and the students found themselves swept up in his eloquence. He taught them how to practically and effectively solve mathematical problems while simultaneously presenting a spectacular display of the romance concealed in the questions it posed. Tengo saw admiration in the eyes of several of his female students, and he realized that he was seducing these seventeen- or eighteen-year-olds through mathematics. His eloquence was a kind of intellectual foreplay. Mathematical functions stroked their backs; theorems sent warm breath into their ears. — Haruki Murakami

One of the ideas of this book is to give the reader a possibility to develop
problem-solving skills using both systems, to solve various nonlinear
PDEs in both systems. To achieve equal results in both systems, it is not sufficient simply "to translate" one code to another code. There are numerous examples, where there exists some predefined function in one system and does not exist in another. Therefore, to get equal results
in both systems, it is necessary to define new functions knowing the method or algorithm of calculation. — Inna K. Shingareva

It is in this mutual dependence of the functions and the aid which they reciprocally lend one another that are founded the laws which determine the relations of their organs and which possess a necessity equal to that of metaphysical or mathematical laws, since it is evident that the seemly harmony between organs which interact is a necessary condition of existence of the creature to which they belong and that if one of these functions were modified in a manner incompatible with the modifications of the others the creature could no longer continue to exist. — Georges Cuvier

It is indeed a surprising and fortunate fact that nature can be expressed by relatively low-order mathematical functions. — Rudolf Carnap

The focus of history and philosophy of science scholar Arthur Miller's (2010) "137: Jung and Pauli and the Pursuit of Scientific Obsession" is Jung and Pauli's
mutual effort to discover the cosmic number or fine structure constant, which is a fundamental physical constant dealing with electromagnetism, or, from a different perspective, could be considered the philosopher's stone of the mathematical universe.
This was indeed one of Pauli and Jung's collaborative passions, but it was not the only concentration of their relationship. Quantum physics could be seen as the natural progression from ancient alchemy, through chemistry, culminating in the abstract world of subatomic particles, wave functions, and mathematics. [Ancient Egypt and Modern Psychotherapy] — Todd Hayen

I left Caen, where I was living, to go on a geological excursion under the auspices of the School of Mines. The incidents of the travel made me forget my mathematical work. Having reached Coutances, we entered an omnibus to go to some place or other. At the moment when I put my foot on the step, the idea came to me, without anything in my former thoughts seeming to have paved the way for it, that the transformations I had used to define the Fuchsian functions were identical with those of non-Euclidean geometry. I did not verify the idea; I should not have had time, as upon taking my seat in the omnibus, I went on with a conversation already commenced, but I felt a perfect certainty. On my return to Caen, for convenience sake, I verified the result at my leisure. — Henri Poincare

Our federal income tax law defines the tax y to be paid in terms of the income x; it does so in a clumsy enough way by pasting several linear functions together, each valid in another interval or bracket of income. An archeologist who, five thousand years from now, shall unearth some of our income tax returns together with relics of engineering works and mathematical books, will probably date them a couple of centuries earlier, certainly before Galileo and Vieta. — Hermann Weyl

Dear friends & fellow characters, you all know the importance we attach to the power of collective prayer in this our desperate struggle for survival. Some of us have more existence than others, at various times according to fashion. But even this is becoming extremely shadowy & precarious, for we are not read, & when read , we are read badly, we are not lived as we used to be, we are not identified with & fantasized, we are rapidly forgotten. Those of us who have the good fortune to be read by teachers, scholars, & students are not read as we used to be read, but analyzed as schemata, structures, functions within structures, logical & mathematical formulae, aporia, psychic movements, social significances & so forth. — Christine Brooke-Rose

The ecological complexities of existence overwhelm the human mind, even though some of that richness is an integral part of man's own nature. It is only by isolating some little part of that existence for a short time that it can be momentarily grasped: we learn only from samples. By separating primary from secondary qualities, by making mathematical description the test of truth, by utilizing only a part of the human self to explore only a part of its environment, the new science successfully turned the most significant attributes of life into purely secondary phenomena, ticketed for replacement by the machine. Thus living organisms, in their most typical functions and purposes, became superfluous. — Lewis Mumford