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Manipulating sets into periodic sets

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#prime-numbers #binary #conjectures
222
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"The set $\{0,1\}^{10^{10}}$ of all bit strings of length $10^{10}$ " meaning?

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#elementary-set-theory #notation #binary
222
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explicit formula for position of lowest bit of binary representation of number

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#number-theory #elementary-number-theory #functions #binary #binary-operations
188
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How to convert a decimal (2^x) to binary?

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#binary
151
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Can all integers be written as $\sum_{i=0}^{N}(-1)^{i}n_{i}2^{i}$ ($n_{i}\in\{0,1\}$)?

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#elementary-number-theory #induction #arithmetic #integers #binary
343
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Direct construction of the real numbers using only the integers (c.f. Eudoxus reals)

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#real-analysis #group-theory #examples-counterexamples #real-numbers #binary
442
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Amount of binary number without the sequence '01'

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#combinatorics #binary
704
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Binary Probability Question / Riddle

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#probability #puzzle #binary
169
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Two's complement binary arithmetic

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#number-theory #elementary-number-theory #discrete-mathematics #arithmetic #binary
94
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What is the name of the function that yields $n$ alternating 1s and 0s?

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#sequences-and-series #binary
5.2k
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Probability of finding a node in a binary tree

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#probability #combinatorics #binary
117
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Is there a set of $n$ $k$-dimensional vectors any $k$ of which are linearly independent?

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#linear-algebra #probability #binary
194
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Three question about binary relations

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#order-theory #binary
48
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Representing a number

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#binary
47
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Are there integers which have repeating patterns in both in base 2 and base 3?

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#binary

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