Ví dụ về việc sử dụng Mathematical proofs trong Tiếng anh và bản dịch của chúng sang Tiếng việt
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Why is writing down mathematical proofs more fault-proof than writing computer code?
Paul Erdős was well-known for his notion ofa hypothetical"Book" containing the most elegant or beautiful mathematical proofs.
But such mathematical proofs are only a part of the story of science.
The best part of this course is the tons of practical examples and focuses on intuition,rather than formulas and mathematical proofs.
HoTT allows mathematical proofs to be translated into a computer programming language for computer proof assistants much more easily than before.
The main idea was to create an independent anddecentralized electronic payment system based on mathematical proofs and cryptography.
Of course physical insight doesnot always lead to immediately rigorous mathematical proofs but it frequently leads one in the right direction, and technically correct proofs can then hopefully be found.
It set forth Newton's three laws of motion, and proceeded to set forth the theory of gravitation,and back it up with rigorous mathematical proofs.
Recently computers have provided a new way to explore the unknown,and even if traditional mathematical proofs are the end product, numerical simulations can provide a source of new intuition that speeds up the process of framing conjectures.
At the same time, he began making a transition in his approach to physics,becoming more intuitive and speculative rather than insisting on mathematical proofs.
The flaw in the sVote protocol, developed by technology provider Scytl,has to do with universal verifiability, the mathematical proofs that prevent vote manipulation.
While most mathematicians do not think thatprobabilistic evidence ever counts as a genuine mathematical proof, a few mathematicians and philosophers have argued that at least some types of probabilistic evidence(such as Rabin's probabilistic algorithm for testing primality) are as good as genuine mathematical proofs.
Bitcoin was first invented by Satoshi Nakamoto in 2009 with the aim to create an independent anddecentralized electronic payment system based on mathematical proofs and cryptography.
In mathematical practice, an object is anything that has been(or could be) formally defined,and with which one may do deductive reasoning and mathematical proofs.
This can be shown by a perfectly rigorous mathematical proof.
He repeats some mathematical proof where each time he gains some more certainty that the transaction is indeed valid.
More often than not, the student will look at the majesty of a mathematical proof and ask,“So?”.
This mathematical proof was purely theoretical as no general-purpose computers existed at the time.
In other words it can be viewed as an absolute mathematical proof that all chemical weapons were taken away from Assad.
There is not and there can never be any mathematical proof that a roulette strategy cannot be profitable.
The development of mathematical proof is primarily the product of early Greek civilization.
Stephen Hawking shot tofame in the world of physics when he provided a mathematical proof for the Big Bang theory.
Let's say, a mathematical proof: oftentimes it is a matter of getting from A to B, to putting together bits of logic.
Fisher described his theorem as“fundamental,” because he believed he had discovered a mathematical proof for Darwinian evolution.
The main idea of creating Groestlcoin was to establish an electronicpayment model that was purely based on mathematical proof.
They see a mathematical proof showing that when two countries trade goods or services, the benefits to the winners outweigh the costs to the losers.
A more detailed mathematical proof was given by Tsitsiklis[13] in 1994, and by Bertsekas and Tsitsiklis in their 1996 Neuro-Dynamic Programming book.[14].