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Prove the following for integers

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#symmetric-polynomials #integers
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Could negative integer factorials be defined in some way?

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#factorial #integers
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Zero divisors and invertible elements

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#discrete-mathematics #modular-arithmetic #self-learning #integers
79
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is this set closed under addition?

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#group-theory #arithmetic #integers
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How can an odd set of integers include even numbers as well?

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#integers
155
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Division with remainder

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#number-theory #proof-verification #integers
72
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How to solve this integer equations?

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#problem-solving #integers
114
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Proofs involving Fermat's Little Theorem

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#arithmetic #congruences #integers
90
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How to find the remainder of $\dfrac{a_{2011}}{5}$?

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#integers
32
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Absolute value equality on $4$ integers

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#algebra-precalculus #absolute-value #integers
78
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Statement about divisibility

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#elementary-number-theory #discrete-mathematics #divisibility #integers
90
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Evaluation of the double integral $\int_{-1}^1\int_{-1}^1 \max(x,y)\,dx \,dy $

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#integers
2.1k
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Rational equations word problem

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#integers
47
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$A_1,A_2,A_3$ forms a partition of $\mathbb N_{>0}$ and $a,b,c \in A_i \implies a+b+c \in A_i$ then at-least one of $A_i$ is closed under addition?

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#elementary-set-theory #semigroups #integers
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What is an example of a bijective function f: Z to N that isn't piecewise?

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#natural-numbers #function-and-relation-composition #ceiling-and-floor-functions #integers

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