Top 204 Equations Quotes & Sayings - Page 2

Modern economics is a set of formal models and equations purporting to fully determine human behaviour, at least in the economic realm. And there is no way that uncertainty can be compressed into determinate mathematical models.

Maxwell's theory is Maxwell's system of equations.

Read Ben Graham and Phil Fisher read annual reports, but don't do equations with Greek letters in them.

This is no science, this is art, where equations fall away to elements like resolving chords, and where always prevails a symmetry either explicit or multiplex, but always of a crystalline serenity.

We tend to think of science as finding equations, like E=MC2, that are simple and elegant. But maybe some theories are complicated, and we can only find the simple ones.

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.

Even before string theory, especially as physics developed in the 20th century, it turned out that the equations that really work in describing nature with the most generality and the greatest simplicity are very elegant and subtle.

The math of quantum mechanics and the math of general relativity, when they confront one another, they are ferocious antagonists and the equations don't work.

One of the pleasing things about science is that we do all climb towards the heavens on the shoulders of our predecessors. Economics, like physics, has its heroes, and the letter 'H' that I used in my mathematical equations was not there to honor Sir William Hamilton, but rather Harold Hotelling.

If you have bought one of those T-shirts with Maxwell's equations on the front, you may have to worry about its going out of style, but not about its becoming false. We will go on teaching Maxwellian electrodynamics as long as there are scientists.

When I got to college, I was intending to study film. But I found that my brain was feeling mushy, so I took a few math classes. I started doing really well at them, and solving equations was this, like, drug rush.

The behavior of the economy as a whole, at the aggregate, macro-level, is built up from the individual equations at the micro-level.

The quantum hypothesis will eventually find its exact expression in certain equations which will be a more exact formulation of the law of causality.

But think of Adam and Eve like an imaginary number, like the square root of minus one: you can never see any concrete proof that it exists, but if you include it in your equations, you can calculate all manner of things that couldn't be imagined without it.

Einstein had looked at the numbers and dimensions that went into his equations for gravitational waves and said, essentially, 'This is so tiny that it will never have any influence on anything, and nobody can measure it.' And when you think about the times and the technology in 1916, he was probably right.

We are dreamers, shapers, singers, and makers. We study the mysteries of laser and circuit, crystal and scanner, holographic demons and invocations of equations. These are the tools we employ, and we know many things.

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.

The sceptic will say, 'It may well be true that this system of equations is reasonable from a logical standpoint, but this does not prove that it corresponds to nature.' You are right, dear sceptic. Experience alone can decide on truth.

I became an atheist because, as a graduate student studying quantum physics, life seemed to be reducible to second-order differential equations. Mathematics, chemistry and physics had it all. And I didn't see any need to go beyond that.

Nowadays we can do computer experiments using Mathematica, and even solve a system of 42 equations. This offers another route to knowledge, rather than mere ideas.

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

I have my hopes, & very distinct ones, too, of one day getting cerebral phenomena such that I can put them into mathematical equations: in short, a law or laws for the mutual actions of the molecules of the brain (equivalent to the law of gravitation for the planetary & sideral world).

The triumph is that the waveform we measure is very well represented by solutions of these equations. Einstein is right in a regime where his theory has never been tested before.

Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time.

Concern for man and his fate must always form the chief interest of all technical endeavors. Never forget this in the midst of your diagrams and equations.

Math is the language of the universe. So the more equations you know, the more you can converse with the cosmos.

If it should turn out that the whole of physical reality can be described by a finite set of equations, I would be disappointed, I would feel that the Creator had been uncharacteristically lacking in imagination.

Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing.

I love studying asteroids because they are relatively simple, just rocks in space. They can be understood with physics and described with elegant equations. For the most part, they are serene celestial bodies.

There is no justice in the laws of nature, no term for fairness in the equations of motion. The Universe is neither evil, nor good, it simply does not care. The stars don't care, or the Sun, or the sky. But they don't have to! WE care! There IS light in the world, and it is US!

Some physicists describe gravity in terms of ten dimensions all curled up. But those aren't real words-just placeholders, used to refer to parts of abstract equations.

The equations at which we arrive must be such that a person of any nation, by substituting the numerical values of the quantities as measured by his own national units, would obtain a true result.

My students may have dexterity with the equations they're required to know, but they lack the capacity to apply their knowledge to real-life problems. This critical shortcoming appears in high school and possibly in elementary grades - long before college.

All over China, parents tell their children to stop complaining and to finish their quadratic equations and trigonometric functions because there are sixty-five million American kids going to bed with no math at all.

I think it is a peculiarity of myself that I like to play about with equations, just looking for beautiful mathematical relations which maybe don't have any physical meaning at all. Sometimes they do. At age 60.

The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved.

I regard it in fact as the great advantage of the mathematical technique that it allows us to describe, by means of algebraic equations, the general character of a pattern even where we are ignorant of the numerical values which will determine its particular manifestation.

We already know the limits of Einstein's theories. From the centers of black holes at the very beginning of the universe - we call these singularities - Einstein's equations fail. In fact, people have joked that's where God is dividing by zero.

In my youth I regarded the universe as an open book, printed in the language of equations, whereas now it appears to me as a text written in invisible ink, of which in our rare moments of grace we are able to decipher a small segment.

There is great exhilaration in breaking one of these things. ... Ramanujan gives no hints, no proof of his formulas, so everything you do you feel is your own.[About verifying Ramanujan's equations in a newly found manuscript.]

What can a pencil do for all of us? Amazing things. It can write transcendent poetry, uplifting music, or life-changing equations; it can sketch the future, give life to untold beauty, and communicate the full-force of our love and aspirations.

Perhaps we see equations as simple because they are easily expressed in terms of mathematical notation already invented at an earlier stage of development of the science, and thus what appears to us as elegance of description really reflects the interconnectedness of Nature's laws at different levels.

It's probably the wrong way round, I know, but I just love maths and doing equations. When I was a kid, I was really good at it, so when I was seven, I asked my mum what job lets you do maths and pays you for it. She said accountancy, and that was it. I was dead set.

The universe is governed by science. But science tells us that we can't solve the equations, directly in the abstract.

My basic mathematics is rather weak, so when some of the theories are broken into equations, I get rather lost.

Gamers have this tendency to turn games into mathematical equations, breaking them into lists of components like 'presentation' and 'mechanics' and judging each one on its own merits.

Economics pretends to be a science. Its practitioners fill blackboards with equations and clog computers with data. But it is really a faith, or more accurately a set of overlapping and squabbling faiths, each with its own doctrines.

It is exciting to discover electrons and figure out the equations that govern their movement; it is boring to use those principles to design electric can openers. From here on out, it's all can openers.

You kind of alluded to it in your introduction. I mean, for the last 300 or so years, the exact sciences have been dominated by what is really a good idea, which is the idea that one can describe the natural world using mathematical equations.

Science is beautiful when it makes simple explanations of phenomena or connections between different observations. Examples include the double helix in biology and the fundamental equations of physics.

The standard high school curriculum traditionally has been focused towards physics and engineering. So calculus, differential equations, and linear algebra have always been the most emphasized, and for good reason - these are very important.

The same equations have the same solutions

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.

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).

Poetry is statement of a series of equations, with numbers and symbols changing like the changes of mirrors, pools, skies, the only never-changing sign being the sign of infinity.

That's what being young is all about. You have the courage and the daring to think that you can make a difference. You're not prone to measure your energies in time. You're not likely to live by equations.

All I remember about the examination is that there was a question on Sturm's theorem about equations, which I could not do then and cannot do now.

What good is a theory of how the universe works if it’s a series of tensor equations that, even when understood, come nowhere tangential to experience? The only intellectual or noetic or spiritual path worth following is one that builds on personal experience

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.

Through algebra you easily arrive at equations, but always to pass therefrom to the elegant constructions and demonstrations which usually result by means of the method of porisms is not so easy, nor is one's ingenuity and power of invention so greatly exercised and refined in this analysis.