A distance metric based on tree paths

Confusion regarding usage of Lambert function

Are there exotic balls?

Evaluate $\lim\limits_{x \to \infty} \sqrt[n]{(1+x^2)(2+x^2)...(n+x^2)}-x^2 $

Given that $f(x)$ is a polynomial of degree $3$, and its remainders are $2x - 5$ and $-3x + 4$ when divided by $x^2 - 1$ and $x^2 - 4$ respectively.

An open set invariant under a linear map implies it is an isometry or of finite order?

What is the motivation for sequences to be defined on natural numbers?

A circle is divided into $5$ parts as shown in the diagram and parts are colored either red or green. Find which area is bigger.

Book recommendations for Euclidean/Non-Euclidean Geometry

How may I teach myself pure mathematics "from scratch"?

How many distinct permutations of the string "NADAMADRID" have the word DAM appearing in them?

When does equality hold in $\Bigr\lvert\sum_{k=1}^n a_kb_k\Bigr\rvert^2 \le \left(\sum_{k=1}^n |a_k|^2\right)\left(\sum_{k=1}^n |b_k|^2\right)$?

Evaluate the following integral $ \int_1^{\infty} \frac{\lbrace x\rbrace-\frac{1}2}{x} dx$

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