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Display information for equation id:math.232459.2 on revision:232459

* Page found: Trigonometric polynomial (eq math.232459.2)

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Hash: 312e2ebd7faeee78da763aa2467db533

TeX (original user input): 

t(x) = a_0 + \sum_{n=1}^N a_n \cos (nx) + \sum_{n=1}^N b_n \sin(nx) \qquad (x \in \mathbf{R})

TeX (checked): 

t(x)=a_{0}+\sum _{n=1}^{N}a_{n}\cos(nx)+\sum _{n=1}^{N}b_{n}\sin(nx)\qquad (x\in \mathbf {R} )

LaTeXML (experimental; uses MathML) rendering

MathML (9.194 KB / 1.521 KB) :

t ( x ) = a 0 + ∑ n = 1 N a n cos ( n x ) + ∑ n = 1 N b n sin ( n x )    ( x ∈ 𝐑 ) fragments t fragments ( x ) subscript 𝑎 0 superscript subscript 𝑛 1 𝑁 subscript 𝑎 𝑛 fragments ( n x ) superscript subscript 𝑛 1 𝑁 subscript 𝑏 𝑛 fragments ( n x ) italic-   fragments ( x R ) {\displaystyle t(x)=a_{0}+\sum_{{n=1}}^{N}a_{n}\cos(nx)+\sum_{{n=1}}^{N}b_{n}% \sin(nx)\qquad(x\in{\mathbf{R}})} 
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SVG (15.601 KB / 5.384 KB) :

t left-parenthesis x right-parenthesis equals a 0 plus sigma-summation Underscript n equals 1 Overscript upper N Endscripts a Subscript n Baseline cosine left-parenthesis n x right-parenthesis plus sigma-summation Underscript n equals 1 Overscript upper N Endscripts b Subscript n Baseline sine left-parenthesis n x right-parenthesis italic left-parenthesis x element-of bold upper R right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (2.201 KB / 523 B) :

t ( x ) = a 0 + ∑ n = 1 N a n cos ⁡ ( n x ) + ∑ n = 1 N b n sin ⁡ ( n x ) ( x ∈ R ) {\displaystyle t(x)=a_{0}+\sum _{n=1}^{N}a_{n}\cos(nx)+\sum _{n=1}^{N}b_{n}\sin(nx)\qquad (x\in \mathbf {R} )} 
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SVG (12.49 KB / 4.975 KB) :

{\displaystyle t(x)=a_{0}+\sum _{n=1}^{N}a_{n}\cos(nx)+\sum _{n=1}^{N}b_{n}\sin(nx)\qquad (x\in \mathbf {R} )}

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