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Continuous functions of one variable

We discuss the important class of continuous functions of one variable. We teach you how to prove that a function is continuous. We also...

How to find the eigenvalues of a matrix?

Eigenvalues of a matrix are a fundamental concept in linear algebra that provide valuable information about the behavior of matrices. They play a crucial...

The optimal step gradient method

In this article, we propose an exercise that describes the optimal method of the step gradient for coercive functions on spaces of finite dimension....

Hyperplane linear subspace

We will delve into the concept of a hyperplane linear subspace, explore its properties, and examine its applications in different domains. Hyperplanes are essential concepts...

Elementary probability exercises

We offer elementary probability exercises at the level of high school. We show the student how to use the formula of compound probabilities, how...

Riemann Integral Exercises

Riemann integral exercises with detailed answers are offered on this page. These kinds of integrals of bounded function in bounded intervals, almost everywhere continuous....