List questions from definition

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List Question

What is academic definition of "Component" in graph theory? what is it?

A Proof Related to the Fundamental Theorem of Calculus

Is there any connection between filter in mathematics and signal processing?

What does the notation $d\langle W_1, W_2\rangle$ mean?

What does it mean for a function of two arguments $f: [0, \infty) \times M \to M$ to be continuous?

The assumption of a Cauchy sequence in proving completeness of a set.

How to describe a piece-wise function in words?

number of primes less than a number $N$ is $\tfrac{N}{\log(N)}$ ??

This should be a reduced residue system rather than a complete residue system, right?

How should I define symmetric matrices?

Definition of antiderivative - is it okay for $f$ to be non-integrable?

Defining differentiablity of a function of two variables

Mistake in (french) wikipedia on definition of limit?

Homogeneous Ordinary Differential Equation

The notion of minimum in Leinster's book

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