Articles By

Hadd

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 ...
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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. ...
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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 ...
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Hyperplane linear subspace

We will delve into the concept of a hyperplane linear subspace, explore its properties, and examine its applications in different ...
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Elementary probability exercises

We offer elementary probability exercises at the level of high school. We show the student how to use the formula ...
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Riemann Integral Exercises

Riemann integral exercises with detailed answers are offered on this page. These kinds of integrals of bounded function in bounded ...
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Translation operator

We discuss the properties of the translation operator defined in a Lebesgue space. The latter appears in the study of ...
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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 ...
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Linear transformations and matrices

Linear transformations and matrices form the backbone of numerous mathematical and scientific disciplines, ranging from computer graphics and machine learning ...
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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 ...
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Matrix Operations

Matrix operations are mathematical operations performed on matrices, which are rectangular arrays of numbers. Matrices are widely used in various ...
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Primitives of continuous functions

Primitives of continuous functions play a key role in the calculation of integrals. Therefore, in this article, we will use ...
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