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Is $f(g,h) = g^2$ a binary operation on a group $G$?

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#abstract-algebra #group-theory #binary-operations
6.8k
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Inverse operation of xor

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#propositional-calculus #binary #binary-operations #bit-strings
87
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Help Me Understand the Generalisations of Commutativity and Associativity for Unions

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#elementary-set-theory #intuition #binary-operations
80
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Definition of "fixed point" for binary operator

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#definition #binary-operations
562
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An $m$-ary function that represents all $n$-ary functions

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#combinatorics #functions #reference-request #binary-operations #boolean-ring
43
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Function/Operation Definitions

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#functions #elementary-set-theory #binary-operations
155
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Is there a set in which division of 0 by 0 is defined?

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#analysis #field-theory #infinity #binary-operations
35
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Bounds of defining operations for equivalence classes

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#elementary-set-theory #definition #binary-operations
4.6k
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Why should a non-commutative operation even be called "multiplication"?

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#number-theory #terminology #noncommutative-algebra #binary-operations
206
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Is there ANY context in which f(x,x) is noncommutative?

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#abstract-algebra #group-theory #binary-operations
156
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A well-defined binary operation on a class of functions (Eudoxus magnitudes) from $\mathbb N$ to $\mathbb N$?

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#real-analysis #abstract-algebra #binary-operations
28
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a conjecture on the binary operation of multiplication

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#binary-operations
127
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Question about order of operations convention and alternative

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#binary-operations
593
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Is the division symbol $\div$ acceptable based on international standards?

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#notation #arithmetic #binary-operations
82
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Concatenation operation on the set of finite sequences in $\{0, 1\}$

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#sequences-and-series #binary-operations

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