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Make isosceles triangle with matchsticks

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#geometry #triangles #ceiling-and-floor-functions #pattern-recognition
9.4k
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How to prove floor function inequality $\sum\limits_{k=1}^{n}\frac{\{kx\}}{\lfloor kx\rfloor }<\sum\limits_{k=1}^{n}\frac{1}{2k-1}$ for $x>1$

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#inequality #ceiling-and-floor-functions
72
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Determine Closed Form of Recurrence Relation

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#recurrence-relations #closed-form #ceiling-and-floor-functions
156
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Integrating a hedgehog

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#integration #definite-integrals #recreational-mathematics #closed-form #ceiling-and-floor-functions
117
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Is there a name for the reciprocal of the fractional part of a number?

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#real-analysis #terminology #ceiling-and-floor-functions #continued-fractions #fractional-part
70
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How to find the values that make this interval enclose an integer

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#elementary-number-theory #ceiling-and-floor-functions
52
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How to find the places where this interval encloses an integer

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#elementary-number-theory #ceiling-and-floor-functions
81
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Can I assume that $x + x^2 < 1$ if $x \to 0$?

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#calculus #limits #ceiling-and-floor-functions
1k
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Product of integral and fractional part of binomial expansion

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#binomial-theorem #ceiling-and-floor-functions
647
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Find $q$ such that $[q[qn]]+1=[q^2n]$ for $n=1,2,\dotsc$

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#algebra-precalculus #number-theory #elementary-number-theory #ceiling-and-floor-functions #golden-ratio
50
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Can you simplify $\lfloor x\rfloor-\lfloor y\rfloor$?

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#modular-arithmetic #ceiling-and-floor-functions
46
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Let $f: \mathbb{R}→\mathbb{Z}$, where $f(x)=\lceil2x−1\rceil$.

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#functions #inverse #ceiling-and-floor-functions
356
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Finding out the range of $g(x)=\sin x + \cos x$

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#linear-algebra #trigonometry #ceiling-and-floor-functions #fractional-part
192
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Solving equations with floor function and square roots?

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#ceiling-and-floor-functions
250
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Binomial Coefficient Identity, Double Series, Floor Function

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#combinatorics #discrete-mathematics #summation #binomial-coefficients #ceiling-and-floor-functions

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