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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 differential equations, mainly equations...
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 superheroes of numbers, including...
Linear transformations and matrices
Linear transformations and matrices form the backbone of numerous mathematical and scientific disciplines, ranging from computer graphics and machine learning to physics and engineering....
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 ODE solution is closed...
Matrix Operations
Matrix operations are mathematical operations performed on matrices, which are rectangular arrays of numbers. Matrices are widely used in various fields, including mathematics, physics,...
Primitives of continuous functions
Primitives of continuous functions play a key role in the calculation of integrals. Therefore, in this article, we will use examples to introduce a...