# We now support LaTeX on our website!

Thoth Association for Mathematics and Sciences

## We now support LaTeX on our website! At first, we sample in the ( is odd) equidistant points around : where is some step.
Then we interpolate points by polynomial

(1) Its coefficients are found as a solution of system of linear equations:

(2) Here are references to existing equations: (1), (2).
Here is reference to non-existing equation (??). Compilation of an expression may be suppressed, showing instead the LaTeX source, by preceding the expression with a !.

For mathematical graphs you may use tikzpicture and pgfplots, e.g. : Binomial theorem
—————- Exponential function
——————– Cauchy&ndash;Schwarz inequality
——————————- Bayes’ theorem
————– Euler’s summation formula
————————-
_Theorem._ Euler’s summation formula. _If has a continuous
derivative on the interval , where ,
then_

(3) _Proof._ Let , . For integers and in we have Summing from to we find Hence,

(4) Integration by parts gives us When this is combined with \eqref{summation} we obtain
\eqref{theorem}.

### 3 Responses

1. Kays says:

Let be a positive integer and be the fractional par function, then calculate in closed-form the following Multiple Integral : 2. Kays says: 3. admin-thoth says:

At first, we sample in the ( is odd) equidistant points around : where is some step.
Then we interpolate points by polynomial

(1) Its coefficients are found as a solution of system of linear equations:

(2) Here are references to existing equations: (1), (2).
Here is reference to non-existing equation (??).

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