Oct 17, 2019 · The word "conjugate" is overloaded. There are different meanings in different contexts. One consistent pattern is that the conjugate of the conjugate is the thing you started …

In group theory, the mathematical definition for "conjugation" is: $$ (g, h) \\mapsto g h g^{-1} $$ But what exactly does this mean, like in laymans terms?

Oct 31, 2019 · The concept of conjugate seems to exist in many fields of mathermatic such as complex conjugate, group conjugate, etc. I search through many websites about what exactly …

Oct 17, 2016 · Finally for now, conjugate elements in a group always have the same order (since conjugation by an element of the group is an automorphism). This comes in handy when …

Apr 9, 2023 · 1 It depends on context, really. The term "conjugate" has uses all over mathematics. For example, one might consider $1-\sqrt {2}$ the "conjugate" of $1+\sqrt {2}$, since …

Oct 12, 2013 · The word conjugate is quite an overloaded one in Math. The plain English definition of the word is hard enough to follow and seems to bear little intuitive relationship to …

0 As has been pointed out in the comments, the conjugate of a polynomial has different meanings, depending on the context.

Jan 21, 2014 · You have a number $\sqrt {x}+2\sqrt {b}$ and you're asking for the conjugate. Most times this refers to the complex conjugate, which involves replacing the imaginary part of the …

Jan 17, 2018 · Irrational solutions need not come in pairs. The equation $$ x^3 - 2 = 0 $$ has three roots. One is the irrational real number $\alpha = 2^ {1/3}$.The other two are the …

Jul 30, 2018 · I'm slightly confused on the subject of conjugates and how to define them. I know that for a complex number $ a - bi $ the conjugate is $ a + bi $ and similarly for $ 1 + \\sqrt 2 $ …