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In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element α, over a field extension L/K, are the roots of the minimal polynomial pK,α(x) of α over K. Conjugate elements are commonly called conjugates in contexts where this is not ambiguous. Normally α itself is included in the set of ...
3-540-63698-6. Proofs from THE BOOK is a book of mathematical proofs by Martin Aigner and Günter M. Ziegler. The book is dedicated to the mathematician Paul Erdős, who often referred to "The Book" in which God keeps the most elegant proof of each mathematical theorem. During a lecture in 1985, Erdős said, "You don't have to believe in God ...
Engineering mathematics. Mathematical engineering (or engineering mathematics) is a branch of applied mathematics, concerning mathematical methods and techniques that are typically used in engineering and industry. Along with fields like engineering physics and engineering geology, both of which may belong in the wider category engineering ...
Slab (geometry) In geometry, a slab is a region between two parallel lines in the Euclidean plane, [1] or between two parallel planes in three-dimensional Euclidean space or between two hyperplanes in higher dimensions. [2]
There’s nothing quite like a warm, steaming cup of hot chocolate on a cold winter day — even more so if you’ve topped it with marshmallows, whipped cream, chocolate shavings… or all of those!
In mathematics, change of base can mean any of several things: Changing numeral bases, such as converting from base 2 (binary) to base 10 (decimal). This is known as base conversion. The logarithmic change-of-base formula, one of the logarithmic identities used frequently in algebra and calculus. The method for changing between polynomial and ...
October 29, 2024 at 9:14 AM. A South Carolina woman is facing fraud charges after authorities say she took more than $215,000 from the furniture store she worked for and went on two European ...
The (2,3,7) hyperbolic triangle group is a subgroup of the group of norm 1 elements in the quaternion algebra generated as an associative algebra by the pair of generators i, j and relations i2 = j2 = η, ij = − ji. One chooses a suitable Hurwitz quaternion order in the quaternion algebra. Here the order is generated by elements.