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Can the state of a system after applying the operation "absolute value" be got back using elementary operations or transformations?

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#elementary-number-theory #recreational-mathematics #binary-operations
40
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What is the approach to understand this algorithm?

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#algorithms #random-variables #binary-operations #probabilistic-method
334
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Does this operation have a name?

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#terminology #arithmetic #binary-operations
460
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Show that $G$ is a group under $*$

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#abstract-algebra #group-theory #binary-operations #formal-groups
3.3k
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Associativity of $x*y := \frac{xy}{x+y+1}$

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#abstract-algebra #fractions #binary-operations
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how to prove $G$ is an abelian group under $*$ (called the real numbers mod 1)

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#proof-writing #binary-operations #associativity
763
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Give an example of a set with two binary operations, addition and multiplication, in which we have left distributivity but not right distributivity

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#binary-operations
340
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Is there a name for the operation $f^{-1}(f(x) \oplus f(y))$?

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#functions #binary-operations
390
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Can $0$ be added to any equation without changing the outcome?

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#arithmetic #binary-operations
80
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Is every such family induced by an associative operation?

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#abstract-algebra #examples-counterexamples #binary-operations #associativity
83
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Definition of Operation

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#definition #foundations #binary-operations
65
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Product of sets as complexes

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#abstract-algebra #terminology #binary-operations
79
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Question on the Notation of an Abstract Algebra Question

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#abstract-algebra #notation #binary-operations
134
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Does the following function define a distance metric?

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#vector-spaces #metric-spaces #information-theory #binary #binary-operations
242
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Mathematical Properties of Logical Shift

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#binary-operations #computer-arithmetic

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