Newbetuts

Showing $\det\big[ (B+K)^{-1} (A+K) \big] = O(1) $ when $A,B$ are rank 1 updates of $I_n$ and $K$ is symmetric PD with positive entries

How many coordinates we need to remove from a uniformly selected point on the unit sphere before the remaining are on the same order of magnitude?

Growth rate of the nth natural number not constructable with n steps of addition and multiplication

If $\frac{n^2}{3} < xy \leq n^2 - 5$, then does it follow that $n > \max(x,y)$?

Bounds of $1^n + 2^{n-1} + 3^{n-2} + \cdots + n^1$

Without using a calculator and logarithm, which of $100^{101} , 101^{100}$ is greater?

Proving $(λ^d + (1-λ^d)e^{(d-1)s})^{\frac{1}{1-d}}\leq\sum\limits_{n=0}^\infty\frac1{n!}λ^{\frac{(d^n-1)d}{d-1}+n}s^ne^{-λs}$

On the conjectured inequality $q > k$, where $q^k n^2$ is an odd perfect number with special prime $q$

How small the probability $\Bbb{P}(X_1+X_2 +\dots +X_n < n + 1)$ can be if $\Bbb{E}(X_i) = 1$?

Probability for a random variable to be greater than its mean

Bound on $\sum\limits_{n=0}^{x}{\sin{\sqrt{n}}}$

Almost Stirling's Approximation

Non negative function at a point is less the the integral of the function

Recreational math: If $f(f(x))=e^x$, bound the integral $\int_0^1 f(x)dx$

A Recurrence Relations problem

New posts in upper-lower-bounds

Showing $\det\big[ (B+K)^{-1} (A+K) \big] = O(1) $ when $A,B$ are rank 1 updates of $I_n$ and $K$ is symmetric PD with positive entries

Upper Bound vs. Least Upper Bound

Infection spread on a torus chessboard

Least Upper Bound Property Implies Greatest Lower Bound Property

Given $n+1$ points, bound the product of the distances from one of them

Is this true that a continuous function in a right-closed interval is bounded on that interval?

How many coordinates we need to remove from a uniformly selected point on the unit sphere before the remaining are on the same order of magnitude?

Growth rate of the nth natural number not constructable with n steps of addition and multiplication

If $\frac{n^2}{3} < xy \leq n^2 - 5$, then does it follow that $n > \max(x,y)$?

Bounds of $1^n + 2^{n-1} + 3^{n-2} + \cdots + n^1$

Without using a calculator and logarithm, which of $100^{101} , 101^{100}$ is greater?

Proving $(λ^d + (1-λ^d)e^{(d-1)s})^{\frac{1}{1-d}}\leq\sum\limits_{n=0}^\infty\frac1{n!}λ^{\frac{(d^n-1)d}{d-1}+n}s^ne^{-λs}$

On the conjectured inequality $q > k$, where $q^k n^2$ is an odd perfect number with special prime $q$

How small the probability $\Bbb{P}(X_1+X_2 +\dots +X_n < n + 1)$ can be if $\Bbb{E}(X_i) = 1$?

Probability for a random variable to be greater than its mean

Bound on $\sum\limits_{n=0}^{x}{\sin{\sqrt{n}}}$

Almost Stirling's Approximation

Non negative function at a point is less the the integral of the function

Recreational math: If $f(f(x))=e^x$, bound the integral $\int_0^1 f(x)dx$

A Recurrence Relations problem