Question

Does $\left\lfloor\frac{a}{bv} - \frac{c}{dv}\right\rfloor = \left\lfloor\frac{\left\lfloor\frac{a}{b} - \frac{c}{d}\right\rfloor}{v}\right\rfloor$

score 54 · Answer 1 · 2020-03-23 11:26:48

Does $\left\lfloor\frac{a}{bv} - \frac{c}{dv}\right\rfloor = \left\lfloor\frac{\left\lfloor\frac{a}{b} - \frac{c}{d}\right\rfloor}{v}\right\rfloor$

score 255 · Answer 2 · 2020-03-24 00:14:46

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List Question

Does $\left\lfloor\frac{a}{bv} - \frac{c}{dv}\right\rfloor = \left\lfloor\frac{\left\lfloor\frac{a}{b} - \frac{c}{d}\right\rfloor}{v}\right\rfloor$

How to deal with binomial expansion within floor function as in $\lfloor{(a+\sqrt{b})^n\rfloor}$?

Simple floor problem Proof

Comparing the difference of floor functions with the difference of ceiling functions

Floor function repeated addition

Considering this constraint, determine the real function $f$

Evaluate $ \int_{0}^{1} [mx] \, dx$

Function and Floor Properties

On the convergence of the series $\sum \frac{(-1)^{\lfloor ne\rfloor}}{n}$

Question regarding floor function subtraction

How to evaluate a sum of square roots rounded to the nearest integer?

Basic inequality on a floor function (Proof verification).

Summation with Floor Function

Bound $\int_1^{+\infty} \left(x-\lfloor x \rfloor -\frac{1}{2}\right)f(x)\,{\rm d}x$ for convex, decreasing $f$

Finding $Z(N)=\sum_{i=1}^N i^2\left\lfloor \frac{N}{i^2} \right\rfloor$

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