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TeX (original user input):

T_N(x) = \sum_{n=0}^N a_n \cos (nx) + \sum_{n=0}^N a_n \sin(nx) \qquad (x \in \mathbf{R})


TeX (checked):

T_{N}(x)=\sum _{n=0}^{N}a_{n}\cos(nx)+\sum _{n=0}^{N}a_{n}\sin(nx)\qquad (x\in \mathbf {R} )


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${\displaystyle{\displaystyle T_{N}(x)=\sum_{n=0}^{N}a_{n}\cos(nx)+\sum_{n=0}^{% N}a_{n}\sin(nx)\qquad(x\in\mathbf{R})}}$
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${\displaystyle T_{N}(x)=\sum _{n=0}^{N}a_{n}\cos(nx)+\sum _{n=0}^{N}a_{n}\sin(nx)\qquad (x\in \mathbf {R} )}$

## Translations to Computer Algebra Systems

### Translation to Maple

In Maple: T[N]*(x)= sum(a[n]*cos(n*x), n = 0..N)+ sum(a[n]*sin((n*x)*)*(x in R), n = 0..N)

\cos: Cosine; Example: \cos@@{z}

Will be translated to: cos($0) Relevant links to definitions: \sin: Sine; Example: \sin@@{z} Will be translated to: sin($0)

### Translation to Mathematica

In Mathematica: Subscript[T, N]*(x)= Sum[Subscript[a, n]*Cos[n*x], {n, 0, N}]+ Sum[Subscript[a, n]*Sin[(n*x)*]*(x \[Element]*R), {n, 0, N}]

\cos: Cosine; Example: \cos@@{z}

Will be translated to: Cos[$0] Relevant links to definitions: \sin: Sine; Example: \sin@@{z} Will be translated to: Sin[$0]

## Similar pages

Calculated based on the variables occurring on the entire Talk:Trigonometric polynomial page

## Identifiers

• ${\displaystyle T_{N}}$
• ${\displaystyle x}$
• ${\displaystyle n}$
• ${\displaystyle N}$
• ${\displaystyle a_{n}}$
• ${\displaystyle n}$
• ${\displaystyle x}$
• ${\displaystyle n}$
• ${\displaystyle N}$
• ${\displaystyle a_{n}}$
• ${\displaystyle n}$
• ${\displaystyle x}$
• ${\displaystyle x}$
• ${\displaystyle \mathbf {R} }$

### MathML observations

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