Knowledge base dedicated to Linux and applied mathematics.
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 »
How to write the LaTex symbol of the partial derivative: \partial Read More »
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 »
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 »
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 »
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 »
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 »
How to produce the mathematical hat symbol or and a wide hat symbol ? \hat and \widehat Read More »
How to make the congruent symbol in Latex ? How to make the congruent code in Latex ? Read More »
Latex how to write backslash in Latex with or without amssymb : backslash , setminus, smallsetminus Read More »
We will show that for any real element x the trigonometric formula sin(2x)=2 sin x cos xx Read More »
ChatGPT and ChatGPTPlus are two language models that have gained attention for their ability to generate high-quality natural language (...) Read More »
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 »
How to write Latex product symbol : \times Read More »
Latex numbering equations. We’ll see how to number the Latex equations using the leqno and fleqn header functions. Read More »
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 »
We will demonstrate the following equality cos²x + sin²x=1 in several ways. By using the notion of derivative, addition formula and then (...) Read More »
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 »
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 »
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 »