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[1] [2] Greek mathematicians lived in cities spread over the entire region, from Anatolia to Italy and North Africa, but were united by Greek culture and the Greek language. [3] The development of mathematics as a theoretical discipline and the use of deductive reasoning in proofs is an important difference between Greek mathematics and those ...
The vast majority of laptops on the market are manufactured by a small handful of Taiwan-based original design manufacturers (ODM), although their production bases are located mostly in mainland China. Quanta Computer pioneered the contract manufacturing of laptops in 1988. By 1990, Taiwanese companies manufactured 11% of the world's laptops.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
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California Democratic Gov. Gavin Newsom asked state lawmakers Monday for an additional $25 million in funding to cover the cost of legal battles he expects to have with President-elect Donald ...
Corner quotes, also called “Quine quotes”; for quasi-quotation, i.e. quoting specific context of unspecified (“variable”) expressions; [2] also used for denoting Gödel number; [3] for example “āGā” denotes the Gödel number of G. (Typographical note: although the quotes appears as a “pair” in unicode (231C and 231D), they ...
Chill in the refrigerator for 2 hours to set. Lift the fudge from the dish using the foil overhang as handles, transfer to a cutting board, and slice into 16 squares.
That is, a 2 is even, which implies that a must also be even, as seen in the proposition above (in #Proof by contraposition). So we can write a = 2c, where c is also an integer. Substitution into the original equation yields 2b 2 = (2c) 2 = 4c 2. Dividing both sides by 2 yields b 2 = 2c 2. But then, by the same argument as before, 2 divides b 2 ...