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List Question

A special polynomial

Discrete Mathematics Proof through Equivalence Relations

Prove the shift rule for series

Find an example of a nonempty subset $U$ of $\mathbb{R}^2$ where $U$ is closed under scalar multiplication but U is not a subspace of $\mathbb{R}^2$.

Rhombus in a cyclic quadrilateral

What is an example of a proof by minimal counterexample?

proof by induction question with summation

[Proof]. A linear operator T is injective iff $N(T)= \{0\}$

Proof approach for $n! \ge (n/2)^{n/2}$

Prove that $(a,b)=\bigcup_{n=1}^{+\infty} \bigg (a,b-\frac{1}{n}\bigg]$

Are we allowed, by the definition of induction, to assume that $f_{1}(x)$ still has the same formula, even though we switched $n$?

Is the supremum of an almost surely continuous random function random variable?

fundamental theorem of algebra in the complex plane

A family of sets that is not a $\sigma$-algebra

Inequality equation of a Triangle

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