Math-Linux.com

Knowledge base dedicated to Linux and applied mathematics.

Most recent articles

Derivative of cos x

5 August, by Nadir Soualem

Derivative f’ of the function f(x)=cos x is: f’(x) = - sin x for any positive value of x. Read More »

Derivative of exp x, e^x

2 August, by Nadir Soualem

Derivative f’ of the function f(x)=exp x is: f’(x) = exp x for any value of x. Read More »

Proof of limit of lim (1+x)^(1/x)=e as x approaches 0

2 August, by Nadir Soualem

How to prove that limit of lim (1+x)^(1/x)=e as x approaches 0 ? Read More »

Proof of limit of tan x / x = 1 as x approaches 0

1 August, by Nadir Soualem

How to prove that limit of tan x / x = 1 as x approaches 0 ? Read More »

Proof of limit of sin x / x = 1 as x approaches 0

26 July, by Nadir Soualem

How to prove that limit of sin x / x = 1 as x approaches 0 ? Read More »

Horizontal and vertical curly Latex braces: \left\{,\right\},\underbrace{} and \overbrace{}

17 July, by Nadir Soualem

How to define horizontal and vertical curly braces ? Answer is here !!! Read More »

Latex horizontal space: qquad,hspace, thinspace,enspace

11 July, by Nadir Soualem

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 »

Taylor series expansion of a function about 0

21 June, by Nadir Soualem

Below are the main Taylor series expansion around 0. These specific taylor developments are called Maclaurin development Read More »

Gaussian elimination

20 June, by Nadir Soualem

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

20 June, by Nadir Soualem

Chebyshev polynomials are a useful and important tool in the field of interpolation. Indeed, in order to minimize the error in Lagrange (...) Read More »

How to write matrices in Latex ? matrix, pmatrix, bmatrix, vmatrix, Vmatrix

20 June, by Nadir Soualem

Here are few examples to write quickly matrices. Read More »

Newton’s interpolation polynomial

19 June, by Nadir Soualem

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 »

Lagrange interpolation polynomial

17 June, by Nadir Soualem

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

14 June, by Nadir Soualem

Conjugate Gradient Method allows you to solve linear systems whose matrix is symmetric and positive definite. Read More »

Latex symbol not exists

14 June, by Nadir Soualem

Latex symbol not exists: \nexists Read More »

Cholesky decomposition

14 June, by Nadir Soualem

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

14 June, by Nadir Soualem

Latex symbol exists: \exists Read More »

Latex symbol for all x

14 June, by Nadir Soualem

Latex symbol for all x : \forall Read More »

Latex plus or minus symbol

13 June, by Nadir Soualem

How to write Latex plus or minus symbol: \pm How to write Latex minus or plus symbol: \mp Read More »

Newton-Cotes formulas

13 June, by Nadir Soualem

The main objective is to numerically compute an integral. In order to do so, we shall introduce Lagrange interpolation polynomials, present the (...) Read More »

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