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The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number. For example, 21 is the GCD of 252 and 105 (as 252 = 21 × 12 and 105 = 21 × 5), and the same number 21 is also the GCD of 105 and 252 − 105 = 147. Since ...
Symbol Meaning SI unit of measure magnetic vector potential: tesla meter (T⋅m) : area: square meter (m 2) : amplitude: meter: atomic mass number: unitless acceleration: meter per second squared (m/s 2)
The greatest common divisor (GCD) of integers a and b, at least one of which is nonzero, is the greatest positive integer d such that d is a divisor of both a and b; that is, there are integers e and f such that a = de and b = df, and d is the largest such integer.
The equivalence between the existence of GCDs and the existence of LCMs is not a corollary of the similar result on complete lattices, as the quotient R/~ need not be a complete lattice for a GCD domain R. [citation needed] If R is a GCD domain, then the polynomial ring R[X 1,...,X n] is also a GCD domain. [2]
Note: "lc" stands for the leading coefficient, the coefficient of the highest degree of the variable. This algorithm computes not only the greatest common divisor (the last non zero r i ), but also all the subresultant polynomials: The remainder r i is the (deg( r i −1 ) − 1) -th subresultant polynomial.
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Lecture Notes in Physics (LNP) is a book series published by Springer Science+Business Media in the field of physics, including articles related to both research and ...
This is a glossary for the terminology often encountered in undergraduate quantum mechanics courses.. Cautions: Different authors may have different definitions for the same term.