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 ...
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. ...
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 ...
Hyperplane linear subspace
We will delve into the concept of a hyperplane linear subspace, explore its properties, and examine its applications in different ...
Elementary probability exercises
We offer elementary probability exercises at the level of high school. We show the student how to use the formula ...
Riemann Integral Exercises
Riemann integral exercises with detailed answers are offered on this page. These kinds of integrals of bounded function in bounded ...
Translation operator
We discuss the properties of the translation operator defined in a Lebesgue space. The latter appears in the study of ...
Properties of Real Numbers
Real numbers are the backbone of mathematics, spanning a wide range of values along the number line. They’re like the ...
Linear transformations and matrices
Linear transformations and matrices form the backbone of numerous mathematical and scientific disciplines, ranging from computer graphics and machine learning ...
Lyapunov stability for nonlinear systems
We discuss the Lyapunov stability for nonlinear systems. Indeed, having a reference solution, a stationary solution, one wonders if the ...
Matrix Operations
Matrix operations are mathematical operations performed on matrices, which are rectangular arrays of numbers. Matrices are widely used in various ...
Primitives of continuous functions
Primitives of continuous functions play a key role in the calculation of integrals. Therefore, in this article, we will use ...