  ## Series

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## Description

Summary

That is a collection of some series, expressed in a symbolic form

## Members

• ### Maclaurin (AngouriMath. Entity, System. Int32, AngouriMath. Entity. Variable[])

Method

Summary

Finds the symbolic expression of terms of the Maclaurin expansion of the given function,
https://en.wikipedia.org/wiki/Taylor_series

Parameter "expr"

The function to find the Taylor expansion of

Parameter "degree"

The degree of the resulting taylor polynomial (and the variable in the resulting series)

Parameter "exprVariables"

The variable/s to take the series over (and the variable the series will be over)
(e. g. if you have expr = Sin("t"), then you may want to use "t" for this argument)

Returns

An expression in the polynomial form over the expression variables given in exprVariables

• ### Taylor (AngouriMath. Entity, System. Int32, System. ValueTuple{AngouriMath. Entity. Variable, AngouriMath. Entity. Variable, AngouriMath. Entity}[])

Summary

Finds the symbolic expression of terms of the Taylor expansion of the given function,
https://en.wikipedia.org/wiki/Taylor_series

Parameter "expr"

The function to find the Taylor expansion of

Parameter "degree"

The degree of the resulting taylor polynomial

Parameter "exprToPolyVars"

The variable/s to take the series over, the variable the series will be over,
and the variable values at which the Taylor polynomial will be found
(e. g. if you want to find the taylor polynomial of Sin("t") around t=1, and want
n to take that place in the series, then you may want to use ("t","n","1") for this argument)

Returns

An expression in the polynomial form over the poly variable/s given in exprToPolyVars

• ### Taylor (AngouriMath. Entity, System. Int32, System. ValueTuple{AngouriMath. Entity. Variable, AngouriMath. Entity}[])

Summary

Finds the symbolic expression of terms of the Taylor expansion of the given function,
https://en.wikipedia.org/wiki/Taylor_series

Parameter "expr"

The function to find the Taylor expansion of

Parameter "degree"

The degree of the resulting taylor polynomial

Parameter "exprVariables"

The variable/s to take the series over (and the variable in the resulting series),
plus the variable values at which the Taylor polynomial will be found
(e. g. if you want to find the taylor polynomial of Sin("t") around t=1, then you may want to use ("t","1") for this argument)

Returns

An expression in the polynomial form over the expression variable/s given in exprVariables

• ### TaylorTerms (AngouriMath. Entity, System. ValueTuple{AngouriMath. Entity. Variable, AngouriMath. Entity. Variable, AngouriMath. Entity}[])

Method

Summary

Finds the symbolic expression of terms of the Taylor expansion of the given function,
https://en.wikipedia.org/wiki/Taylor_series

Do NOT call ToArray() or anything like this on the result of this method. It is
infinite iterator. To get a finite result as in a sum of finite number of terms,
call TaylorExpansion

Parameter "expr"

The function to find the Taylor expansion of

Parameter "exprToPolyVars"

The variable/s to take the series over, the variable the series will be over,
and the variable values at which the Taylor polynomial will be found
(e. g. if you want to find the taylor polynomial of Sin("t") around t=1, and want
n to take that place in the series, then you may want to use ("t","n","1") for this argument)

Returns

An infinite iterator over the terms of Taylor series of the given expression.

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