A Quote by George Andrews
The manuscript looks chaotic, even by mathematics standards.
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But actually a code is a language for translating one thing into another. And mathematics is the language of science. My big thesis is that although the world looks messy and chaotic, if you translate it into the world of numbers and shapes, patterns emerge and you start to understand why things are the way they are.
I like when the manuscript keeps its authentic style and form, so even if I have accepted some advice from editors, I don't really want to adapt the manuscript to the needs and expectations of the readers.
We have no basis for having a recall of any particular type of voting equipment because there are no standards. And when we do have standards, even these standards are required to be voluntary.
One of the central developments of 19th century mathematics involved a dramatic increase in the standards of mathematical rigor. This was for a variety of reasons, but the short version is that there was a need to be stricter about the standards of proof, because certain familiar modes of reasoning had started to lead people astray, or at least threatened to do so.
The amazing thing is that chaotic systems don't always stay chaotic," Ben said, leaning on the gate. "Sometimes they spontaneously reorganize themselves into an orderly structure." "They suddenly become less chaotic?" I said, wishing that would happen at HiTek. "No, that's the thing. They become more and more chaotic until they reach some sort of chaotic critical mass. When that happens, they spontaneously reorganize themselves at a higher equilibrium level. It's called self-organized criticality.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
In the night ride across the Wular lake a small storm made me worry for the safety of my manuscript (Rajatarangini). It seemed as if the goddess of wisdom - Sharada, represented by waters of Kashmir, was unwilling to let me abduct the manuscript. This is what happened 1200 years ago to the Chinese pilgrim Hiuen-Tsang, who had to leave his Sanskrit manuscript in the angry Indus River.
...mathematics is distinguished from all other sciences except only ethics, in standing in no need of ethics. Every other science, even logic, especially in its early stages, is in danger of evaporating into airy nothingness, degenerating, as the Germans say, into an arachnoid film, spun from the stuff that dreams are made of. There is no such danger for pure mathematics; for that is precisely what mathematics ought to be.
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
When I was taken to the concentration camp of Auschwitz, a manuscript of mine ready for publication was confiscated. Certainly, my deep desire to write this manuscript anew helped me to survive the rigors of the camps I was in.
I like science and mathematics. When I say mathematics, I don't mean algebra or math in that sense, but the mathematics of things.
Honestly, Korean beauty standards are harsh. People are even putting pressure on non-celebrities to be super skinny, and the standards of thinness are just getting worse.
I loved playing Sweetie in 'Mubarakan.' It was chaotic and funny; it was sort of a magnum unfold in a chaotic way.
Take chaotic mathematics, for instance. The universe is chaos. But chaos is whimping out. There is no chaos. There are just different levels of order in the universe.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
If you look at an illuminated manuscript, even today, it just blows your mind. For them, without all the clutter and inputs that we have, it must have been even more extraordinary.
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