Question

Find a lower bound of $k$ when $m!=100x^2+20x$ and $k*100x^2+20x=(m+5)!$

score 27 · Answer 1 · 2026-04-16 06:58:53

Find a lower bound of $k$ when $m!=100x^2+20x$ and $k*100x^2+20x=(m+5)!$

Published on 16 Apr 2026 - 6:58

score 73 · Answer 2 · 2026-04-15 04:41:31

$\forall{i=1 ... n}, Pr({a_i > 0}) < e^{-d}$, $a_i$ iid, then $Pr({\sum_{i=1}^{i=n}a_i > 0}) \le 1-(1-e^{-d})^n $? can you give a better bound?

score 127 · Answer 3 · 2026-03-25 14:23:31

127

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List Question

Find a lower bound of $k$ when $m!=100x^2+20x$ and $k*100x^2+20x=(m+5)!$

$\forall{i=1 ... n}, Pr({a_i > 0}) < e^{-d}$, $a_i$ iid, then $Pr({\sum_{i=1}^{i=n}a_i > 0}) \le 1-(1-e^{-d})^n $? can you give a better bound?

How was the following lower bound on ${n \choose pn}$ derived?

Supremum of Continuous Functions (Least Upper Bound)

Upper bound of integral of $\int_0^1\frac{dx}{1-2xcost+x^2}$

If $x^a<\ln(x)<x^b$, then how are $a$ and $b$ bounded?

Formula for limiting a variable X between -Y and +Y on a logarithmic(?) to linear scale.

Bounding $\frac{(n^2 +\log_5(n))\cdot \log_8(\log_2(\frac{\sqrt{n}}{2}))}{2}$ from above and below

Upper and lower bound for fraction function : $ \sum_{n=0}^{N-1}(-1)^n\binom{N-1}{n}\frac{1}{(n+1)*cx} $

Help bounding this function to apply dominated convergence theorem

How to answer Calculus by Michael Spivak Chapter 8 problem 3

What is the formula to convert nonlinear bi-exponential decay function to linear by log transform

Simplify and upper bound of sum equal zero

What do you call a set of numbers between an upper and lower number?

Bounding a polynomial with cosine roots

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