Knowledge base dedicated to Linux and applied mathematics.
We will show that for any real element x, y the trigonometric formula sinh(x + y) = sinh(x)*cosh(y) +cosh(x)*sinh(y) Read More »
The derivative f’ of square root of x defined by f(x)=√x is for all x strictly positive f’(x)=1 / 2√x Read More »
Expected value or expectation of a random variable $X$ is defined, if it exists, in a mathematically precise way with respect to a probability (...) Read More »
Derivative f’ of function f(x)=x^n is: f’(x) = n x^(n-1). We are going to show this result, using the definition of derivative and studying the (...) Read More »
LaTeX function \nparallel is a mathematical symbol used to represent the non-parallel relationship between two objects or lines. This command is (...) Read More »
The \parallel function of LaTeX is a mathematical symbol used to represent the parallel relationship between two objects or lines. This command (...) Read More »
We are going to show that for any angles a, b the trigonometry formula sin(a-b)=sin a cos b - sin b cos a Read More »
We are going to show that for any angles a, b the trigonometry formula cos (a-b)=cos a cos b + sin a sin b Read More »
We are going to show that for any angles a, b the trigonometry formula cos (a+b)=cos a cos b - sin a sin b Read More »
We are going to show that for any angles a, b the trigonometry formula sin (a+b)=sin a cos b + cos a sin b Read More »
We prove here that the tangent function tan (-x) = - tan x is odd using the unit circle. Read More »
strace is a utility that can trace system calls. How to use strace for debugging applications or executables ? Read More »
bra-ket notation notation, is used to denote quantum states. How to write bra-ket/braket notation in Latex with braket package: braket , bra and (...) Read More »
Latex how to write symbol checkmark: \checkmark Read More »
Latex how to write symbol average: \overline Read More »
How to write Latex symbol Latex Planck constant h, Planck constant reduced: \hbar, \hslash Read More »
How to write Latex symbol symbol there exists one and only one: \exists! Read More »
How to write latex yen symbol : \yen Read More »
How to write latex symbol not equal : \neq Read More »
How to write latex symbol different : \neq Read More »