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Is 5.0 an integer or decimal number?

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#integers #decimal-expansion
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Integer within certain interval.

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#analysis #integers
990
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If $x+y+2xy=83$, find the value of $x+y$.

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#algebra-precalculus #diophantine-equations #integers
60
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Unexplained points of intersection of $f(x)$ and $f(\sin(\pi x)+x)$

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#real-analysis #functions #roots #gamma-function #integers
69
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Divisors of a multiple of a prime (or any integer)

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#number-theory #integers
41
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Finding boundaries for a Diophantine equation

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#number-theory #diophantine-equations #problem-solving #elliptic-curves #integers
27
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Simplest expression of a stair-like sequence with start, end, height of each stair known?

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#sequences-and-series #integers
45
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How many integers do we need to select from a set from 1 to 20 to guarantee there will be two of the same pairwise sum?

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#combinatorics #integers #pigeonhole-principle
88
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When defining closure property of the set $\{0,1,-1\}$ under addition? Can we say that this set is closed under addition?

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#integers
77
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2-split of $n$ is $\left\{ \lfloor \frac{n}{2} \rfloor,\lceil \frac{n}{2} \rceil \right\}$. What about 3, 4, ...?

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#integers #ceiling-and-floor-functions #integer-partitions #set-partition
85
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Proof that [(1 + √3) ²ⁿ⁺¹] is divisible by 2ⁿ⁺¹ ( [x] denotes the greatest integer function of x) for n >= 0

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#number-theory #functions #exponential-function #integers #step-function
84
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Why are the integral points on elliptic curve preserved under this substitution?

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#number-theory #elementary-number-theory #problem-solving #elliptic-curves #integers
30
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Diophantine equation solving method

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#algebra-precalculus #diophantine-equations #integers
55
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Integer solutions to a equation

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#number-theory #elementary-number-theory #radicals #integers
42
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If $0\leq x\leq1/2$, then why $\inf_{k\in\mathbb{Z}}|x+k|=x$?

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#real-analysis #real-numbers #supremum-and-infimum #integers

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