17 окт. 2019 г. · Two numbers are said to be conjugate (over the rationals) if they both satisfy the same irreducible polynomial over the rationals.

31 окт. 2019 г. · So any real number can be expressed as the product of a complex number and a highly-related complex number, so we call one of them the conjugate ...

30 нояб. 2014 г. · Its meaning can range from the fraction used to rationalize a denominator in pre-algebra, to the gNg−1 action in group theory. Complex numbers ...

17 окт. 2016 г. · Conjugacy is one of the more important concepts in group theory. It's an equivalence relation, an easy exercise.

11 нояб. 2012 г. · Conjugation defines a group action of a group on itself and this often yields useful information about the group. For example, this technique is ...

30 июл. 2018 г. · The notion of a conjugate comes up when you have a naturally defined function c from a set to itself such that for all x you have c(c(x))=x. Then c(x) is the ...

21 янв. 2014 г. · You have a number √x+2√b and you're asking for the conjugate. Most times this refers to the complex conjugate, which involves replacing the ...

22 дек. 2016 г. · Conjugate of a complex number of the form a+ib is defined as a−ib. Conjugate of a complex number is just the mirror image of that complex number ...

12 окт. 2013 г. · Let u,v be vectors in Rn and let A be a positive definite n×n matrix. u and v are said to be mutually A-conjugate if and only if uTAv=0.

7 мар. 2011 г. · Let us consider the term ¯p(x), and let p(x)=a0+a1x+a2x2+⋯+anxn. Then, using the rules for complex conjugation, we obtain that ¯p(x)=¯a0+a1x+a2x ...