Quotes of All Topics . Occasions . Authors
Poker isn't the roulette wheel of pure chance, nor is it the chess of mathematical elegance and perfect information. Apart from the underlying mathematics, poker depends on the nuanced reading of human intention, interactions, and deceptions.
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.
Ever since the Enlightenment, people thought that we were living in a rational universe. They thought that God was a mathematician and that the function of the scientist was to figure out the mathematical rules whereby the universe was created.
I make fractals. They're like mathematical pictures. My stepdad is actually a rocket scientist, so in his free time, he gave me a fractal program for fun. He showed me how to use it when I was about nine or 10, and I made thousands of fractals.
I approach an action sequence almost like a mathematical problem. Sometimes you get these action sequences that you read and go, 'Oh my God, this is huge, how do I do it?' and I go, 'Just a step at a time. Sit down and plot each piece of it out.'
It's my belief that you can take everyone down a logical path if you take them slowly enough, and the trouble is that mathematical brains can get scrambled a little bit on the way. You get a bad teacher, it messes you up for the rest of the journey.
Learning certain things purely through memory is related to the developmental forces that are present between the sixth or seventh year and the fourteenth year of life. This quality of human nature is what mathematical instruction should be based on.
Dr. Karel Culik is an outstanding applied mathematician, a specialist in algebra, logic, computer sciences and mathematical linguistics. In 1965, he visited the linguistics research program at MIT, and we have worked together on several projects since.
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.
My suggestion is that at each state the proper order of operation of the mind requires an overall grasp of what is generally known, not only in formal logical, mathematical terms, but also intuitively, in images, feelings, poetic usage of language, etc.
The thing that got me started on the science that I've been building now for about 20 years or so was the question of okay, if mathematical equations can't make progress in understanding complex phenomena in the natural world, how might we make progress?
I chose to deal with the science of cryptography. Cryptography began in mathematics. Codes were developed, even from Caesar's time, based on number theory and mathematical principles. I decided to use those principles and designed a work that is encoded.
In the lab, we could not see or physically describe the mathematical objects that we called quarks, which we suspected were the key to unlocking the dynamics of the strong force that binds together the clump of protons and neutrons at the center of the atom.
A single neuron in the brain is an incredibly complex machine that even today we don't understand. A single 'neuron' in a neural network is an incredibly simple mathematical function that captures a minuscule fraction of the complexity of a biological neuron.
There exists, if I am not mistaken, an entire world which is the totality of mathematical truths, to which we have access only with our mind, just as a world of physical reality exists, the one like the other independent of ourselves, both of divine creation.
My brother is a genius. When we went to Italy, he was on the local television channel as a prodigy, who could solve very sophisticated mathematical equations. He was only seven or eight years old but he could solve mathematical problems for fourteen year olds.
In the 1940s, economics started getting highly mathematical. It was basically because economists weren't smart enough to write down models of real behavior that they started writing down models of highly rational behavior - and they kind of forgot about humans.
Whatever may be the merits of a religious system, its effects upon the mass of mankind must depend in an important degree upon its teachers. All instruction and all truth, except simple mathematical truth, is modified by the medium through which it is conveyed.
I was in charge of the Bureau of Labor Statistics. So I had some of the most brilliant mathematical statistical minds in the country, who would put together the modern technology, if you like, of understanding the economy and tracking it and trying to influence it.
All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one's brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.
The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.
There are times when success doesn't make sense on a purely mathematical basis. I've played absolutely perfectly before, put in a masterful performance, and then my perfect play evaporated because one guy lost his mind and got lucky. Of course, I've also won that way.
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.
Lower-income immigrant families might receive more in benefits than they pay in taxes. But that mathematical equilibrium is temporary, and an artifact of the way the tax-and-transfer system is structured to help lower-income families and to support families with kids.
The extraction tax is based in part on production times the market value at the wellhead, so any downturn in the market price is going to be a mathematical impact on the shale tax. But beyond that, it also concerns me because it also impacts the health of the industry.
Scientology is not written with disrespect toward God. It doesn't worship something that is evil. It is scientific, mathematical, and spiritual. The black community has to check it out and see what's there. I'm not saying it's for everyone, but you have to take a look.
If all consciousness is subject to essential laws in a manner similar to that in which spatial reality is subject to mathematical laws, then these essential laws will be of most fertile significance in investigating facts of the conscious life of human and brute animals.
I always thought it was strange when these artists like Kurt Cobain or whoever would get really famous and say, 'I don't understand why this is happening to me.' There is a mathematical formula to why you got famous. It isn't some magical thing that just started happening.
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.
How thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.
From Roger Bacon, the 13th century Franciscan who pioneered the scientific method, to George Lemaitre, the 20th century Belgian priest who first developed a mathematical foundation for the 'Big Bang,' people of faith have played a key role in advancing scientific understanding.
To a person of analytical ability, perceptive enough to realise that mathematical equipment was a powerful sword in economics, the world of economics was his or her oyster in 1935. The terrain was strewn with beautiful theorems begging to be picked up and arranged in unified order.
Bitcoin may herald the dawning of a new age in currency. It holds superior traits as a form of 'good money.' As a tangible form of asset (its core tangibility being its mathematical basis), it could become an incredibly important building block for the 21st century's global economy.
It is a curious historical fact that modern quantum mechanics began with two quite different mathematical formulations: the differential equation of Schroedinger and the matrix algebra of Heisenberg. The two apparently dissimilar approaches were proved to be mathematically equivalent.
Traditionally, scientists have treated the laws of physics as simply 'given,' elegant mathematical relationships that were somehow imprinted on the universe at its birth, and fixed thereafter. Inquiry into the origin and nature of the laws was not regarded as a proper part of science.
As a man may be born with a mathematical faculty, and by training that faculty year after year may immensely increase his mathematical capacity, so may a man be born with certain faculties within him, faculties belonging to the soul, which he can develop by training and by discipline.
I perceive myself as rather uninhibited, with a certain mathematical facility and more interest in the broad aspect of a problem than the delicate nuances. I am more interested in discovering what is over the next rise than in assiduously cultivating the beautiful garden close at hand.
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).
One of the things I've always liked about my husband is he's very good at lots of stuff. He was an English teacher when I met him. He wrote poetry and played the guitar. As time went on, he decided to go into economics, so he's very analytical and mathematical in addition to his artsy side.
By a combination of formal training and self study, the latter continuing systematically well into the 1940s, I was able to gain a broad base of knowledge in economics and political science, together with reasonable skills in advanced mathematics, symbolic logic, and mathematical statistics.
Internet players have successfully addressed the all-in play from a mathematical perspective. For example, it's fairly common to see a net player move all-in over the top from the big blind with a hand like K-Q when they have less than twenty big blinds remaining. And for good reason - it works!
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.
Every child needs to become literate in one or more languages, and every child should become comfortable in the major scholarly disciplines - historical, scientific, mathematical, and artistic-humanistic thinking. Beyond that, I am not in favour of a uniform system. I think there should be some choices.
The special sphere of finance within economics is the study of allocation and deployment of economic resources, both spatially and across time, in an uncertain environment. To capture the influence and interaction of time and uncertainty effectively requires sophisticated mathematical and computational tools.
Without computers, in the 17th century, we could classify the entire animal kingdom... there was this idea of the speciation, right? And now, all a search engine is is essentially the mathematical speciation of ideas - and these things really derive from the way that language is used and the way words relate.
Game theory is a branch of, originally, applied mathematics, used mostly in economics and political science, a little bit in biology, that gives us a mathematical taxonomy of social life, and it predicts what people are likely to do and believe others will do in cases where everyone's actions affect everyone else.
I remember from my school days Archimedes jumping into his bath and displacing water and coming up with his famous principle, and of course Isaac Newton being hit on the head with an apple. In other words, this realm of human knowledge - which is mathematical, essentially - can have a playful visual element to it.
Some people are better at maths than others: no one thinks you can be 'taught' to be a mathematical genius. And no one thinks of teaching, in that context, as a kind of forcing of the will. But there seems to be an idea of writing as an intuitive pastime which is being dishonestly subjected to counterintuitive methods.
When I'm actually writing by hand, I get more of a sense of the rhythm of sentences, of syntax. The switch to the computer is when I actually start thinking about lines. That's the workhorse part. At that point, I'm being more mathematical about putting the poem on the page and less intuitive about the rhythm of the syntax.
Well, for me, the real excitement of doing physical things in films, whether you're talking about a fight scene or a stunt sequence or even a love scene, for that matter, is by necessity it has to be choreographed very much like a dance. That being said, you have to rehearse it over and over again and find a mathematical precision.