Quotes About Mathematical

The difference between the mathematical and the intuitive mind. [1]—In the one the principles are palpable, but removed from ordinary use; so that for want of habit it is difficult to turn one's mind in that direction: but if one turns it thither ever so little, one sees the principles fully, and one must have a quite inaccurate mind who reasons wrongly from principles so plain that it is almost impossible they should escape notice.

The detective story, as created by Poe, is something as specialised and as intellectual as a chess problem, whereas the best English detective fiction has relied less on the beauty of the mathematical problem and much more on the intangible human element. [...] In The Moonstone the mystery is finally solved, not altogether by human ingenuity, but largely by accident. Since Collins, the best heroes of English detective fiction have been, like Sergeant Cuff, fallible.

Fieldwork is probably always more likely to be holistic than lab work or mathematical modeling because in the field you can't get away from the whole when a research project starts.

Oppenheimer's work with Snyder is, in retrospect, remarkably complete and an accurate mathematical description of the collapse of a black hole

Music rhythms are mathematical patterns. When you hear a song and your body starts moving with it, your body is doing math. The kids in their parents' garage practicing to be a band may not realize it, but they're also practicing math.

The conjugate expression for a binomial of form a + b is the expression a - b and conversely.

A game of great charm in the adoption of mathematical measurements to the timing of human movements, the exactitudes and adjustments of physical ability to hazardous chance. The speed of the legs, the dexterity of the body, the grace of the swing, the elusiveness of the slide — these are the features that make Americans everywhere forget the last syllable of a man's last name or the pigmentation of his skin.

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.

When we use a measuring tape, we are using a system of numbers that is human invented. What are the birds using? And further, how are they storing it in memory? To be stored in memory the measurements have to be encoded in some form and that form has to have an internal consistency to it. In other words it has to possess the same kind of structural integrity as our system of mathematical measurement.

My own hearing has become careful and algebraic.

The point being that everything emerges from the same collection of ingredients governed by the same physical principles. And those principles, as attested to by a few hundred years of observation, experimentation, and theorizing, will likely be expressed by a handful of symbols arranged in a small collection of mathematical equations. That is an elegant universe.

By 1928 or so, many of the mathematical formulas and rules of quantum mechanics had been put in place and, ever since, it has been used to make the most precise and successful numerical predictions in the history of science.

The mathematical analyses pinned down the quantity of information a given black hole contains, without providing insight into the information itself.

Deep mysteries call for clarity delivered through a collection of nested stories. Whether reductionist or emergent, whether mathematical or figurative, whether scientific or poetic, we piece together the richest understanding by approaching questions from a range of different perspectives.

All three of Kepler's laws of planetary motion can be derived from Newtonian principles. Kepler's laws were empirical, based upon the painstaking observations of Tycho Brahe. Newton's laws were theoretical, rather simple mathematical abstractions from which all of Tycho's measurements could ultimately be derived. From these laws, Newton wrote with undisguised pride in the Principia, "I now demonstrate the frame of the System of the World.

If physics leads us today to a world view which is essentially mystical, it returns, in a way, to its beginning, 2,500 years ago. ... This time, however, it is not only based on intuition, but also on experiments of great precision and sophistication, and on a rigorous and consistent mathematical formalism.

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean.

he had made such and such a move, then I had such and such a winning combination in mind.' But the 'great game' of chess is primarily psychological, a conflict between one trained intelligence and another, and not a mere collection of small mathematical theorems.

I repeat, if the strings of this piano are tuned correctly, and the required vibrations are evoked in the corresponding strings, the resulting blending of vibrations coincides almost exactly, even mathematically, with the law-conformable totality of vibrations of the substances issuing from corresponding cosmic sources, according to the sacred Heptaparaparshinokh.

is uncertain' or that 'anything goes'. In fact, it is a clear mathematical statement. It reflects the way that different aspects of the physical world are intimately connected at the quantum level. Its best-known formulation is that the more accurately you know the position of a quantum particle, the less accurately you know its momentum.†† It is impossible to know both perfectly at the same time.

He awoke in the evening completely refreshed. After a cold shower, Bond walked over to the Casino. Since the night before he had lost the mood of the tables. He needed to re-establish that focus which is half mathematical and half intuitive and which, with a slow pulse and a sanguine temperament, Bond knew to be the essential equipment of any gambler who was set on winning.

Music rhythms are mathematical patterns. When you hear a song and your body starts moving with it, your body is doing math. The kids in their parents' garage practicing to be a band may not realize it, but they're also practicing math.

Alan Turing gave us a mathematical model of digital computing that has completely withstood the test of time. He gave us a very, very clear description that was truly prophetic.

The blockchain does one thing: It replaces third-party trust with mathematical proof that something happened.