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How to show a piecewise binary operation over functions is associative?

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#abstract-algebra #binary-operations
120
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Binary Relations - Definition

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#relations #binary-operations
42
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Solving for a and b from xor and difference

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#binary #binary-operations
1.1k
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Is an inverse element of binary operation unique? If yes then how?

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#abstract-algebra #binary-operations #nonassociative-algebras
83
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Exponentiation is nonassociative $ a^{b^c}\neq (a^b)^c$

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#abstract-algebra #binary-operations
644
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Is $a*b = a - b + 1$ a binary operation on $\mathbb{Z}^+$?

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#abstract-algebra #binary-operations
1.5k
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Should we distinguish the minus sign from the negative sign?

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#notation #binary-operations #elementary-functions
68
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Does this algebraic structure belong to a subclass of neofield (or other structure)?

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#abstract-algebra #field-theory #finite-fields #binary-operations
224
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What is the significance of the precedence of a semiring/ ring operations?

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#abstract-algebra #ring-theory #binary-operations #semiring
105
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How to choose a set of boolean functions with a specified probability of getting a 1

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#probability #boolean-algebra #binary #binary-operations #complex-systems
142
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How many distinct subsets of binary boolean operators are closed under composition?

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#logic #propositional-calculus #boolean-algebra #binary-operations
62
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A set operation is associative if and only if the binary operator defining it is associative

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#discrete-mathematics #elementary-set-theory #binary-operations
60
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Need help confirming which algebraic structure this is

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#binary-operations
161
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How to prove formally that division is not commutative?

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#algebra-precalculus #binary-operations
202
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Abstract Algebra - Binary Operation

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#abstract-algebra #binary-operations

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