# Math-Linux.com

Knowledge base dedicated to Linux and applied mathematics.

# Most recent articles

### Derivative of cos x

5 August, by

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

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

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

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

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

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

### Latex horizontal space: qquad,hspace, thinspace,enspace

11 July, by

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

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

### Gaussian elimination

20 June, by

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

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

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

### Newton’s interpolation polynomial

19 June, by

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

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 »

14 June, by

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

Latex symbol not exists: \nexists Read More »

### Cholesky decomposition

14 June, by

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

Latex symbol exists: \exists Read More »

### Latex symbol for all x

14 June, by

Latex symbol for all x : \forall Read More »

### Latex plus or minus symbol

13 June, by

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

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