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English-Hindi > algebraic integer" sentence in Hindi

algebraic integer in a sentence

Examples
31.If P has integer coefficients, this shows that \ mathcal { M } ( P ) is an algebraic number so m ( P ) is the logarithm of an algebraic integer.

32.Note that the property of being an algebraic integer is " defined " in a way that is independent of a choice of a basis in " F ".

33.There are quantitative forms of this, stating more precisely bounds ( depending on degree ) on the largest absolute value of a conjugate that imply that an algebraic integer is a root of unity.

34.A theorem of Kronecker states that if ? is a nonzero algebraic integer such that ? and all of its conjugates in the complex numbers have absolute value at most 1, then ? is a root of unity.

35.In general, the integral closure of a Dedekind domain in an infinite algebraic extension is a Pr�fer domain; it turns out that the ring of algebraic integers is slightly more special than this : it is a B�zout domain.

36.For a non-commutative ring such as "'H "', maximal orders need not be unique, so one needs to fix a maximal order, in carrying over the concept of an algebraic integer.

37.1879 and 1894 editions of the " Vorlesungen " included supplements introducing the notion of an ideal, fundamental to ideal as a subset of a set of numbers, composed of algebraic integers that satisfy polynomial equations with integer coefficients.

38.The algebraic integers in a rationals "'Q "'form a subring of " k ", called the ring of integers of " k ", a central object of study in algebraic number theory.

39.The 1879 and 1894 editions of the " Vorlesungen " included supplements introducing the notion of an ideal, fundamental to ideal as a subset of a set of numbers, composed of algebraic integers that satisfy polynomial equations with integer coefficients.

40.From 1889, Voronoy studied at Saint Petersburg University, where he was a student of Andrey Markov . In 1894 he defended his master's thesis " On algebraic integers depending on the roots of an equation of third degree ".

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How to say algebraic integer in Hindi and what is the meaning of algebraic integer in Hindi? algebraic integer Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.