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Function Quotes

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Function Quotes

“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).”

Ifs Wells Two Past Science Nature Natural Saws Century Function Assuming Physics Mathematical Engineering Equations Hammers Continuity Differential Equations

Book:The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward

Source: The (Mis)Behaviour of Markets: A Fractal View of Risk, Ruin and Reward

“By and large it is uniformly true in mathematics that there is a time lapse between a mathematical discovery and the moment when it is useful; and that this lapse of time can be anything from 30 to 100 years, in some cases even more; and that the whole system seems to function without any direction, without any reference to usefulness, and without any desire to do things which are useful.”

Years Whole Moments Seems Desire Cases Discovery Function Mathematics Mathematical Usefulness Lapses Time Lapse

Author:John von Neumann

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

Facts Order Lows Function Mathematical Fortunate Surprising

Author:Rudolf Carnap

“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.”

Thinking Play Character Bigs Fun Differences Brain Honest Type Function Very Good Math Mathematical Being Honest Logical Pace Linear Math And Science Laid Back Brain Function

Author:Sasha Alexander

“... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan.”

Space Numbers Identity Function Complexes Satisfied Mathematical Strings Sophisticated Vibrations Large Numbers Splitting Space Time Ramanujan

Book:Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension

Source: Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension

“It is true that it feels very differently to enjoy a good meal, taking part in an interesting conversation, or to think of how successful your children are. Suppose we do all these things at a particular time. How happy are we at the time? We do not need to calculate the value of each such feelings on any singular scale to answer this question. We need not see our happiness at the time as a mathematical function of these items. It is rather that all these experiences, together with many other factors, causally puts us at the time at a certain level of happiness, i.e. in a certain mood.”

“I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations.”

Source: A Mathematician's Apology

“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.”

Ifs Law Existence Conditions Creatures Equal Function Relation Harmony Determine Aids Mathematical Mutual Organs Dependence Evident Metaphysical Modification

Author:Georges Cuvier