New posts in problem-solving

What can be a real world application for solving quartic equations?

polynomials roots problem-solving applications quartics

A BDMO functional equation problem.

contest-math recreational-mathematics problem-solving functional-equations

How many whole pieces can be taken out in this way? (Infinite chocolate bar problem)

geometry problem-solving

Let $X,Y$ be Banach spaces and $\phi_n\in\mathcal{L}(X,Y)\backslash\{0\}$. Show $\{ x\in X: \phi_n(x)\ne 0,\forall n\in \mathbb{N}\}$ is dense in $X$

banach-spaces problem-solving

Loomis and Sternberg Problem 1.15

linear-algebra vector-spaces vectors problem-solving affine-geometry

The $2013$th digit of $1234567891011213141516\ldots$

problem-solving decimal-expansion

How to prove the inequality $\frac{1}{n}+\frac{1}{n+1}+\cdots+\frac{1}{2n-1}\geq \log (2)$?

inequality summation logarithms problem-solving

How to determine the bounding curve of a moving circular sector?

geometry euclidean-geometry analytic-geometry problem-solving curves

Which is larger $\sqrt[99]{99!}$ or $\sqrt[100]{100!}$

problem-solving radicals

When are eight integers entirely determined by their pairwise sums?

combinatorics elementary-number-theory contest-math problem-solving

Loomis and Sternberg Problem 1.31

linear-algebra vector-spaces vectors problem-solving

Request for a proof of the following continued-fraction identity

arithmetic recreational-mathematics problem-solving pi continued-fractions

Solving matrix equations of the form $X = AXA^T + C$

linear-algebra matrices problem-solving solution-verification

Show that Mandelbrot set is contained within the closed disc of r=2 [closed]

problem-solving

Loomis and Sternberg Problem 1.46

linear-algebra functions vector-spaces vectors problem-solving

Loomis and Sternberg Problem 1.56

linear-algebra functions vector-spaces vectors problem-solving

About the parity of the product $(a_1-1)(a_2-2)\cdots(a_n-n)$

problem-solving parity

elementary prove thru induction - dumb stumbling

induction problem-solving summation

The value of $\sqrt{1-\sqrt{1+\sqrt{1-\sqrt{1+\cdots\sqrt{1-\sqrt{1+1}}}}}}$?

calculus algebra-precalculus problem-solving open-problem

Examples of open problems solved through short proof

soft-question problem-solving math-history big-list