Formula q_366 (Q253): Difference between revisions

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Created claim: arqmath formula id (P8): q_366
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Created claim: Defining formula (P1): \begin{vmatrix} (1)\sin(x) & (1)\sin(2x) & (1)\sin(3x) & ... & (1)\sin(nx) \\ (1)\cos(x) & (2)\cos(2x) & (3)\cos(3x) & ... & (n)\cos(nx) \\ -(1)^2\sin(x) & -(2)^2\sin(2x) & -(3)^2\sin(3x) & ... & -(n)^2\sin(nx) \\ -(1)^3\cos(x) & -(2)^3\cos(2x) & -(3)^3\cos(3x) & ... & -(n)^3\cos(nx) \\ \end{vmatrix}
 
Property / Defining formula
 

|(1)sin(x)(1)sin(2x)(1)sin(3x)...(1)sin(nx)(1)cos(x)(2)cos(2x)(3)cos(3x)...(n)cos(nx)(1)2sin(x)(2)2sin(2x)(3)2sin(3x)...(n)2sin(nx)(1)3cos(x)(2)3cos(2x)(3)3cos(3x)...(n)3cos(nx)|

\begin{vmatrix} (1)\sin(x) & (1)\sin(2x) & (1)\sin(3x) & ... & (1)\sin(nx) \\ (1)\cos(x) & (2)\cos(2x) & (3)\cos(3x) & ... & (n)\cos(nx) \\ -(1)^2\sin(x) & -(2)^2\sin(2x) & -(3)^2\sin(3x) & ... & -(n)^2\sin(nx) \\ -(1)^3\cos(x) & -(2)^3\cos(2x) & -(3)^3\cos(3x) & ... & -(n)^3\cos(nx) \\ \end{vmatrix}
Property / Defining formula: |(1)sin(x)(1)sin(2x)(1)sin(3x)...(1)sin(nx)(1)cos(x)(2)cos(2x)(3)cos(3x)...(n)cos(nx)(1)2sin(x)(2)2sin(2x)(3)2sin(3x)...(n)2sin(nx)(1)3cos(x)(2)3cos(2x)(3)3cos(3x)...(n)3cos(nx)| / rank
 
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Latest revision as of 13:03, 20 April 2020

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Formula q_366
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    q_366
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    |(1)sin(x)(1)sin(2x)(1)sin(3x)...(1)sin(nx)(1)cos(x)(2)cos(2x)(3)cos(3x)...(n)cos(nx)(1)2sin(x)(2)2sin(2x)(3)2sin(3x)...(n)2sin(nx)(1)3cos(x)(2)3cos(2x)(3)3cos(3x)...(n)3cos(nx)|
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