Proving the integral of the Dirac delta function is 1

Prove that between two roots of $f(x)$ there is a root of $g(x)$

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Is the Galois group associated to a random polynomial solvable with probability 0?

Solving an equation with a logarithm in the exponent

Standard bounded metric induces same topology

Multiplication of a random variable with constant

Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$

Do properties of algebraic structures sometimes not carry over when their direct products are taken?

Bag of tricks in Advanced Calculus/ Real Analysis/Complex Analysis

Order of nontrivial elements is 2 implies Abelian group

Check if line intersects with circles perimeter

Prove $ \sqrt{1 + \sqrt[3]{2}} $ is irrational using the theorem about rational roots of a polynomial

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