Today's scientists have substituted mathematics for experiments, and they wander off through equation after equation, and eventually build a structure which has no relation to reality.— Nikola Tesla
Useful Mathematical Equations quotations
Lottery: A tax on people who are bad at math.
In order to solve this differential equation you look at it until a solution occurs to you.
In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life.
To most outsiders, modern mathematics is unknown territory.
Its borders are protected by dense thickets of technical terms; its landscapes are a mass of indecipherable equations and incomprehensible concepts. Few realize that the world of modern mathematics is rich with vivid images and provocative ideas.
The mathematical sciences particularly exhibit order symmetry and limitations;
and these are the greatest forms of the beautiful.
It is more important to have beauty in one's equations than to have them fit experiment.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
If equations are trains threading the landscape of numbers, then no train stops at pi.
If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries.
The Mathematician's Shiva is a brilliant and compelling family saga full of warmth, pathos, history, and humor, not to mention a cast of delightfully quirky characters, and a math lesson or two; all together, a winning equation! When Rojstaczer writes about mathematics, you'd think he was writing about poetry.
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.
Geometry is the science of correct reasoning on incorrect figures.
Investment success cannot be captured in a mathematical equation or a computer program.
The world looks like a multiplication-table, or a mathematical equation, which, turn it how you will, balances itself.
Love and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation.
Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.
It [the depression] was not accidental.
It was a carefully contrived occurrence worked out as one works out a mathematical equation. The international bankers sought to bring about a condition of despair here so that they might emerge as the rulers of us all.
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.
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.
Standard mathematics has recently been rendered obsolete by the discovery that for years we have been writing the numeral five backward. This has led to reevaluation of counting as a method of getting from one to ten. Students are taught advanced concepts of Boolean algebra, and formerly unsolvable equations are dealt with by threats of reprisals.
All the standard equations of mathematical physics can be separated and solved in Kerr geometry.
At the age of 12, I developed an intense interest in mathematics.
On exposure to algebra, I was fascinated by simultaneous equations and read ahead of the class to the end of the book.
My intention here is to make it clear that not a single cell of my composition, here in regard to The Raven, is found by chance or intuition, that the composition moved towards perfection with the precision and inevitability of a mathematical equation.
It took me 1057 pages to describe the hundreds of mathematical equations, algorithms and programming techniques that I invented and used.
A great deal of my work is just playing with equations and seeing what they give.
Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing.
Yes, we now have to divide up our time like that, between politics and our equations. But to me our equations are far more important, for politics are only a matter of present concern. A mathematical equation stands forever.
In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is luring us into the wrong answers.
Words are a pretty fuzzy substitute for mathematical equations.
It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.
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.
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.
While physics and mathematics may tell us how the universe began, they are not much use in predicting human behavior because there are far too many equations to solve. I'm no better than anyone else at understanding what makes people tick, particularly women.
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).
The principle is so perfectly general that no particular application of it is possible.