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Knowledge base dedicated to Linux and applied mathematics.

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Latex bra ket notation

29 December 2021, by Nadir Soualem

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 symbol checkmark

19 December 2021, by Nadir Soualem

Latex how to write symbol checkmark: \checkmark Read More »

Latex symbol average

19 December 2021, by Nadir Soualem

Latex how to write symbol average: \overline Read More »

Latex Planck constant h

19 December 2021, by Nadir Soualem

How to write Latex symbol Latex Planck constant h, Planck constant reduced: \hbar, \hslash Read More »

Latex symbol there exists one and only one

19 December 2021, by Nadir Soualem

How to write Latex symbol symbol there exists one and only one: \exists! Read More »

Latex yen symbol

17 December 2021, by Nadir Soualem

How to write latex yen symbol : \yen Read More »

Latex symbol not equal

12 December 2021, by Nadir Soualem

How to write latex symbol not equal : \neq Read More »

Latex symbol different

12 December 2021, by Nadir Soualem

How to write latex symbol different : \neq Read More »

Latex symbol multiply

11 December 2021, by Nadir Soualem

How to write multiplication symbol, how to write Latex symbol multiply x : \times Read More »

Latex symbol not in

11 December 2021, by Nadir Soualem

How to write Latex symbol not in : \notin means "is not an element of", "is not a member of" or "does not belong (...) Read More »

Latex symbol belongs to

5 December 2021, by Nadir Soualem

How to write Latex symbol belongs to : \in means "is an element of", "a member of" or "belongs to". Read More »

Derivative of arctan x

22 November 2021, by Nadir Soualem

Derivative f’ of function f(x)=arctan x is: f’(x) = 1 / (1 + x²) for all x real. To show this result, we use derivative of the inverse function tan (...) Read More »

Derivative of arcsin x

22 November 2021, by Nadir Soualem

Derivative f’ of function f(x)=arcsin x is: f’(x) = 1 / √(1 - x²) for all x in ]-1,1[. To show this result, we use derivative of the inverse (...) Read More »

Derivative of arccos x

22 November 2021, by Nadir Soualem

Derivative f’ of function f(x)=arccos x is: f’(x) = - 1 / √(1 - x²) for all x in ]-1,1[. To show this result, we use derivative of the inverse (...) Read More »

A subgroup is normal if and only if it is the kernel of a homomorphism.

9 May 2021, by Nadir Soualem

We are going tho show that the kernel of a group homomorphism is a normal subgroup. Next, we prove that every normal subgroup is the kernel of a (...) Read More »

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

28 March 2021, by Nadir Soualem

How to write matrices in Latex ? matrix, pmatrix, bmatrix, vmatrix, Vmatrix. Here are few examples to write quickly (...) Read More »

Sine is an odd function sin(-x)=-sin x

22 February 2021, by Nadir Soualem

We prove here that the sine function sin (-x) = - sin x is odd using the unit circle. Read More »

Cosine is even function cos(-x)=cos x

22 February 2021, by Nadir Soualem

We prove here that the cosine function cos(-x)=cos x is even using the unit circle. Read More »

Newton’s interpolation polynomial

20 February 2021, 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 »

Chain rule proof - derivative of a composite function

20 February 2021, by Nadir Soualem

Derivative of composite function (g ∘ f) (g circle f), chain rule is defined by (g ∘ f)’(x) = g’(f(x)) × f’(x) . Derivative of composite function (u ∘ (...) Read More »

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