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Using the 2nd Chebyschev function for describing sums of primes

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#combinatorics #prime-numbers #logarithms #ceiling-and-floor-functions #chebyshev-function
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Numbers up to 1000 divisible by 2 or 3 and no other prime

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#number-theory #elementary-number-theory #ceiling-and-floor-functions #inclusion-exclusion
96
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Range of a number in the greatest integer function

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#algebra-precalculus #ceiling-and-floor-functions
141
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Solve $\lceil x\rceil-\frac{\lceil nx\rceil}n\geqslant y$ for $n$, where $n \in\mathbb Z^+, x \in\mathbb R^+, y \in\mathbb R^+$

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#elementary-number-theory #numerical-methods #ceiling-and-floor-functions
83
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Proving inequality number theory

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#elementary-number-theory #inequality #ceiling-and-floor-functions
436
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How to integrate the "fractional part"/sawtooth function?

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#integration #riemann-zeta #ceiling-and-floor-functions #fractional-part #euler-maclaurin
85
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Solve $n * \lceil{\frac{R}{T}}\rceil - \lceil{\frac{R*n}{T} - \frac{x*n}{T}}\rceil = \frac{x * n}{C}$ for x and n, $n \in Z^+$ and $x,R,T,C \in R^+$

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#elementary-number-theory #numerical-methods #ceiling-and-floor-functions #mixed-integer-programming
379
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Floor function of product

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#algebra-precalculus #ceiling-and-floor-functions
906
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Prove that if $x \in R,$ then there exists $n \in Z$ satisfying $x \leq n < x+1$

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#real-analysis #inequality #proof-explanation #ceiling-and-floor-functions
148
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What is the value of $\left \lfloor \frac{1}{3} + \frac{i}{2} \right \rfloor $?

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#algebra-precalculus #complex-numbers #definition #integers #ceiling-and-floor-functions
60
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Ceiling Function Proof from First Principles?

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#real-analysis #ceiling-and-floor-functions
129
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Solving multiple ceil functions

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#algorithms #ceiling-and-floor-functions
277
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How to solve equation with ceil function

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#inequality #maxima-minima #ceiling-and-floor-functions
161
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How to optimize for following cost function?

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#elementary-number-theory #optimization #integer-programming #ceiling-and-floor-functions #mixed-integer-programming
60
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Which one is larger, floor(a/k) * k vs floor(a)?

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#ceiling-and-floor-functions

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