Articles By

Hadd

Polar form of complex numbers

The polar form of complex numbers is a mathematical representation that expresses a complex number in terms of its magnitude ...
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Arithmetic of integers worksheets

We offer a selection of arithmetic integers worksheets with step-by-step solutions. In this course, one can learn about the division ...
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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 ...
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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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