Math-Linux.com

Knowledge base dedicated to Linux and applied mathematics.

Most recent articles

Derivative of ln u

19 March, by Nadir Soualem

The derivative f’ ln u defined by f(x)=ln(u(x)) is for all u(x) strictly positive f’(x)=u’(x) / u(x). Read More »

LaTex symbol partial derivative

26 February, by Nadir Soualem

How to write the LaTex symbol of the partial derivative: \partial Read More »

Latex not subset symbol

19 February, by Nadir Soualem

The not subset symbol in LaTeX is denoted by the command \not\subset. It is used to indicate that one set is not a subset of another set. Read More »

Latex subset symbol

19 February, by Nadir Soualem

The subset symbol in LaTeX is denoted by the command \subset. It is used to indicate that one set is a subset of another set. Read More »

Latex floor function

19 February, by Nadir Soualem

The floor function (or lower integer function) is a mathematical function that associates with any real number $x$ the largest integer $n$ such (...) Read More »

Latex ceiling function

19 February, by Nadir Soualem

The ceiling function is a mathematical function that associates with any real number $x$ the smallest integer $n$ such that $n \geq x$, and is (...) Read More »

$L^1$, $L^2$, $L^p$ and $L^\infty$ spaces in Latex

19 February, by Nadir Soualem

How to write L1 space in Latex ? How to write L2 space in Latex ? How to write Lp space in Latex ? How to write L infinity space in Latex ? Read More »

Latex hat symbol - wide hat symbol

19 February, by Nadir Soualem

How to produce the mathematical hat symbol or and a wide hat symbol ? \hat and \widehat Read More »

Latex congruent symbol

19 February, by Nadir Soualem

How to make the congruent symbol in Latex ? How to make the congruent code in Latex ? Read More »

Latex backslash symbol

19 February, by Nadir Soualem

Latex how to write backslash in Latex with or without amssymb : backslash , setminus, smallsetminus Read More »

Trigonometric formula sin(2x)=2 sin x cos x

18 February, by Nadir Soualem

We will show that for any real element x the trigonometric formula sin(2x)=2 sin x cos xx Read More »

ChatGPT Free versus ChatGPT - Comparison - Differences

18 February, by Nadir Soualem

ChatGPT and ChatGPTPlus are two language models that have gained attention for their ability to generate high-quality natural language (...) Read More »

Latex orthogonal symbol - Latex perpendicular symbol

12 February, by Nadir Soualem

How to make the orthogonal symbol in LaTeX ? How to make the perpendicular symbol in LaTeX ? Here are some examples using the \perp command. Read More »

Latex product symbol

12 February, by Nadir Soualem

How to write Latex product symbol : \times Read More »

Latex numbering equations

11 February, by Nadir Soualem

Latex numbering equations. We’ll see how to number the Latex equations using the leqno and fleqn header functions. Read More »

Strikethrough - strike out text or formula in LaTeX

11 February, by Nadir Soualem

How to cross out / strikethrough text or equations in Latex? There are two main ways to do this with the cancel and ulem packages. It also (...) Read More »

Demonstration / proof of cos²x + sin²x=1

11 February, by Nadir Soualem

We will demonstrate the following equality cos²x + sin²x=1 in several ways. By using the notion of derivative, addition formula and then (...) Read More »

Trigonometry addition formula sinh(x - y) = sinh x cosh y - cosh x sinh y

10 February, by Nadir Soualem

We will show that for any real element x, y the trigonometric formula (difference identity) sinh(x - y) = sinh x cosh y - cosh x sinh y Read More »

Trigonometry addition formula cosh(x - y) = cosh x cosh y - sinh x sinh y

10 February, by Nadir Soualem

We will show that for any real element x, y the trigonometric (difference identity) formula cosh(x - y) = cosh x cosh y - sinh x sinh y Read More »

Trigonometry addition formula cosh(x + y) = cosh x cosh y +sinh x sinh y

10 February, by Nadir Soualem

We will show that for any real element x, y the trigonometric formula cosh(x + y) = cosh x cosh y +sinh x sinh y Read More »

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