p-adic number oor Koreaans
p-adic number
en
(mathematics) an element of an extention of the field of rational numbers based on the divisibility of integers by a prime number p
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p진수
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Fraenkel's first work was on Hensel 's p-adic numbers and on the theory of rings.
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It was in this book that he developed his great idea of p-adic numbers into a systematic theory.
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Hensel 's work on p -adic numbers was to have a major influence on the direction of Hasse's research.
문화적 및 교육적 목적의 전시회조직업ParaCrawl Corpus ParaCrawl Corpus
In 1897 the Weierstrass method of power-series development for algebraic functions led him to the invention of the p -adic numbers.
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Examples of number systems include: natural numbers, integers, rational numbers, algebraic numbers, real numbers, complex numbers, p-adic numbers, surreal numbers, and hyperreal numbers. Natural numbers
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The p -adic numbers can be regarded as a completion of the rational numbers in a different way from the usual completion which leads to the real numbers. Ullrich writes in :
본 발명의 실시예에 따른 홈 시네마 제공 방법은, 댁내에 마련된 가전기기들을 파악하고, 파악된 가전기기들 중 홈 시네마의 특수 효과 제공에 사용할 가전기기들을 선정하며, 선정된 가전기기들을 제어하여 특수 효과를 제공한다.ParaCrawl Corpus ParaCrawl Corpus
He showed, at least for quadratic forms , that an equation has a rational solution if and only if it has a solution in the p -adic numbers for each prime p and a solution in the reals.
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Other major themes of his work were p-adic numbers, p-adic Diophantine approximation , geometry of numbers (a term coined by Minkowski to describe the mathematics of packings and coverings) and measure on polynomials. Mahler received many awards.
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In these two books he showed the power of applying p -adic methods to he theory of divisibility in algebraic number fields.
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This wasn't the only book which published in 1983 for Central extensions, Galois groups, and ideal class groups of number fields appeared in the same year as did Gauss sums and p-adic division algebras with Classgroups and Hermitian modules being published in the following year.
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