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Let n be a positive integer. Prove that:

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#elementary-number-theory #ceiling-and-floor-functions
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A conjecture related to an equation with floor functions

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#number-theory #ceiling-and-floor-functions
403
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Solve the equation $\lfloor x^2\rfloor-3\lfloor x \rfloor +2=0$

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#algebra-precalculus #ceiling-and-floor-functions #piecewise-continuity
190
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Finding the maximum number of $x\in\mathbb R$ such that $a^x+b=\lfloor x\rfloor.$

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#elementary-functions #ceiling-and-floor-functions
2.7k
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Functions (Onto and one-to-one) and Floor functions

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#functions #ceiling-and-floor-functions
3.1k
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formula for $\sum_{k=0}^{m} \lfloor{\sqrt{k}}\rfloor$ when m is a positive integer

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#summation #radicals #ceiling-and-floor-functions
688
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Integer parts of multiples of irrationals

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#number-theory #analysis #irrational-numbers #ceiling-and-floor-functions #set-partition
2.5k
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Does $\lfloor \sqrt{p} \rfloor$ generate all natural numbers?

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#number-theory #prime-numbers #radicals #ceiling-and-floor-functions
61
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Significance of low order terms in base expansion of integer square root

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#number-theory #examples-counterexamples #ceiling-and-floor-functions
103
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Is this a valid argument ? function floor property

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#discrete-mathematics #ceiling-and-floor-functions
385
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Limits involving trigonometric functions $f(x)=\lfloor{x^2 \rfloor} \sin^2(\pi x)$

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#calculus #functions #derivatives #ceiling-and-floor-functions
302
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Problem with my floor...

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#arithmetic #ceiling-and-floor-functions
312
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Stuck solving an equation using the floor operator.

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#linear-algebra #diophantine-equations #problem-solving #ceiling-and-floor-functions
603
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The floor of a product of fractions

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#inequality #contest-math #fractions #products #ceiling-and-floor-functions
1.7k
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Limit of sequence with floor function

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#calculus #limits #ceiling-and-floor-functions

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