Knowledge base dedicated to Linux and applied mathematics.
Derivative f’ of the function f(x)=cos x is: f’(x) = - sin x for any positive value of x. Read More »
Derivative f’ of the function f(x)=exp x is: f’(x) = exp x for any value of x. Read More »
How to prove that limit of lim (1+x)^(1/x)=e as x approaches 0 ? Read More »
How to prove that limit of tan x / x = 1 as x approaches 0 ? Read More »
How to prove that limit of sin x / x = 1 as x approaches 0 ? Read More »
How to define horizontal and vertical curly braces ? Answer is here !!! Read More »
Managing spaces with Latex is not simple, in this tutorial, we will see how to manage horizontal spaces. How to write horizontal space: (...) Read More »
Below are the main Taylor series expansion around 0. These specific taylor developments are called Maclaurin development Read More »
Gaussian elimination is an algorithm in linear algebra for determining the solutions of a system of linear equations. First we do a forward (...) Read More »
Chebyshev polynomials are a useful and important tool in the field of interpolation. Indeed, in order to minimize the error in Lagrange (...) Read More »
Here are few examples to write quickly matrices. Read More »
In this section, we shall study the polynomial interpolation in the form of Newton. Given a sequence of (n+1) data points and a function f, the (...) Read More »
In this section, we shall study the interpolation polynomial in the Lagrange form. Given a set of (n+1) data points and a function f, the aim is (...) Read More »
Conjugate Gradient Method allows you to solve linear systems whose matrix is symmetric and positive definite. Read More »
Latex symbol not exists: \nexists Read More »
We will study a direct method for solving linear systems: the Cholelsky decomposition. Given a symmetric positive definite matrix A, the aim is (...) Read More »
Latex symbol exists: \exists Read More »
Latex symbol for all x : \forall Read More »
How to write Latex plus or minus symbol: \pm How to write Latex minus or plus symbol: \mp Read More »
The main objective is to numerically compute an integral. In order to do so, we shall introduce Lagrange interpolation polynomials, present the (...) Read More »