Open source cross-platform software of geometry, analysis and simulation - Yves Biton

# 7.3 version of MathGraph32 : new features relative to primary decomposition of integers

publication Friday 1 July 2022.

7.3 version of MathGraph32 brings up new features relative to primary decomposition of integers.

Two new LaTeX codes are available :

\Decomp{number} : Displays the primary decomposition of number as product of primary numbers powers .

\DecompFull{number} : Displays the primary decomposition of number as product of primary numbers without using exponents .

• If number is not an integer or number absolute value is superior to 10 000 000 displays the number itself.

A new type of matrix is available :

The matrix of primary decomposition is created as underneath :

This matrix is associated to a real calculation (or a variable) already defined.

The first column of the matrix contains the primary factors and the second column contains the associated exponents.

For this matrix to exist, the associated numer must lay in the range between 2 and 10 000 000.

Download on : this page

Use mathgraph32 online on : this page.

The figure underneath illustrates these new functionnalities (You can change the value of n) :

Here is the base 64 code of this figure :

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