A Quote by Joseph-Louis Lagrange

The ordinary operations of algebra suffice to resolve problems in the theory of curves. — © Joseph-Louis Lagrange
The ordinary operations of algebra suffice to resolve problems in the theory of curves.
In 1989, I was awarded the Von Neumann Prize in Operations Research Theory by the Operations Research Society of America and The Institute of Management Sciences. They cited my works in the areas of portfolio theory, sparse matrix techniques and the SIMSCRIPT programming language.
Most of the problems with the bodies and minds of the folks occupying the current culture involve an unwillingness to do anything hard, or anything that they'd rather not do. I applaud your resolve, and I welcome you to the community of people who have decided that EASY will no longer suffice.
Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing.
The indispensability argument says (roughly) that if you have ample reason to accept an empirical scientific theory that makes indispensable use of mathematics, and that theory entails that numbers exist, then you have ample reason to accept that numbers exist. The argument affirms the antecedent of this conditional, and concludes that you have ample reason to believe that numbers exist. What is striking about this argument is that it seems to show that the empirical reasons that suffice for accepting a scientific theory also suffice for accepting a metaphysical claim.
A company can seize extra-ordinary opportunities only if it is very good at the ordinary operations.
What we want is stability and security so we can focus on our own development. But we have these problems in our region, and nobody has been able to resolve them. The whole world was saying that the countries of the regions should step up and resolve their problems, so we stepped up.
It is a remarkable fact that the second law of thermodynamics has played in the history of science a fundamental role far beyond its original scope. Suffice it to mention Boltzmann's work on kinetic theory, Planck's discovery of quantum theory or Einstein's theory of spontaneous emission, which were all based on the second law of thermodynamics.
If you look at the developments in the international scene over the past many years, we haven't been able to resolve many problems and many crises, because we have approached them from a zero-sum perspective. My gain has always been defined as somebody else's loss, and through that, we never resolve problems.
When you look at the calculation, it's amazing that every time you try to prove or disprove time travel, you've pushed Einstein's theory to the very limits where quantum effects must dominate. That's telling us that you really need a theory of everything to resolve this question. And the only candidate is string theory.
They have the idea that non-commutative algebra should remind one of commutative algebra, but the former is more sophisticated. I believe that non-commutative algebra is just as simple, but it is different.
Algebra reverses the relative importance of the factors in ordinary language.
The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess, you study existing theory and use that to go forward.
Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.
Instead of five hundred thousand average algebra teachers, we need one good algebra teacher. We need that teacher to create software, videotape themselves, answer questions, let your computer or the iPad teach algebra... The hallmark of any good technology is that it destroys jobs.
The theory of punctuated equilibrium, proposed by Niles Eldredge and myself, is not, as so often misunderstood, a radical claim for truly sudden change, but a recognition that ordinary processes of speciation, properly conceived as glacially slow by the standard of our own life-span, do not resolve into geological time as long sequences of insensibly graded intermediates (the traditional, or gradualistic, view), but as geologically "sudden" origins at single bedding planes.
For decades, my research was driven by outstanding problems in macroeconomics: mainly growth theory and employment theory.
This site uses cookies to ensure you get the best experience. More info...
Got it!