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Why do XOR and other operators on binary variables qualify as linear?

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#linear-algebra #binary #binary-operations
936
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How many Groups there are on a finite set?

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#abstract-algebra #group-theory #finite-groups #binary-operations #groups-enumeration
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Real life examples of commutative but non-associative operations

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#abstract-algebra #soft-question #examples-counterexamples #binary-operations #associativity
113
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Polynomial division with reference to CRC32

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#polynomials #hash-function #binary-operations
216
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Define a binary operation and prove as a group

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#group-theory #binary-operations
64
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Solution $\chi$ of $\chi_k(x)=\chi_x(f_k(x))$ given $f_k$ bijective

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#functional-equations #semigroups #binary-operations
288
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Multiplicative group into ring operation

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#abstract-algebra #group-theory #ring-theory #products #binary-operations
2.2k
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Are there an infinite number of binary operations for any set?

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#abstract-algebra #binary-operations
855
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XOR of Three Integers

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#arithmetic #binary #binary-operations
100
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Commutative property based on integral substraction.

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#abstract-algebra #binary-operations
932
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What we're never taught explicitly

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#algebra-precalculus #notation #education #binary-operations
4.4k
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Binary concatenation

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#binary #binary-operations
38
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Structured chain of functions

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#binary-operations
399
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Why does this particular algorithm work?

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#algorithms #binary-operations
163
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An interesting question from "Group Theory: A First Journey," (page 4, section 2.3).

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#group-theory #binary-operations #magma

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