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- ...means set of tools to handle with combinations of functions [[sin]] and [[cos]], and also, the skills to use these tools. Some formulas of trigonometry a \(\cos[b] \sin[a] = \frac{1}{2} (\sin[a\! -\! b] + \sin[a\! +\! b])\)453 bytes (59 words) - 18:43, 30 July 2019
- // ArcCosc is [[inverse function]] of [[Cosc]]; \(\text{cosc}(z) = \cos(z)/z\). z_type cosc(z_type z) {return cos(z)/z;}1 KB (219 words) - 18:46, 30 July 2019
- r=exp(y); s=sin(x); c=cos(x); p=x-r*s; q=y+r*c; return z_type(p,q); } X0=Re(z); Y0=Im(z); r=exp(Y0-1.); s=sin(X0); c=cos(X0); rc=r*c; rs=r*s;1 KB (265 words) - 15:00, 20 June 2013
- ...tyle \mathrm{CosFourier}(F)(x) ~=~ \sqrt{\frac{2}{\pi}}~ \int_0^\infty \! \cos(xy) ~F(y)~ \mathrm d y\) ...elated with other kinds of DiscreteCos. In order to make from the Discrete Cos the useful Tool of Research and Investigation, the formulas, their descript3 KB (482 words) - 18:26, 30 July 2019
- g_m=\frac{f_0+(-1)^mf_N}{2}+\sum_{n=1}^{N-1} \cos\left( \frac{\pi}{N}\, m\, n\right) \, f_n\) +1.*cos((M_PI/NP)*i)5 KB (721 words) - 18:44, 30 July 2019
- \sum_{n=0}^{N-1} ~f_n~ \cos \left[\frac{\pi}{N} \left(n+\frac{1}{2}\right) \left(k+\frac{1}{2}\right) \ \sum_{n=0}^{N-1} ~f(x_n) \cos\! \left(\frac{\pi}{N} x_n x_k\right) ~\approx ~3 KB (421 words) - 18:26, 30 July 2019
- u_1 = \sin(x_1)~ \cos (x_2)~ F(t) \qquad \qquad u_2 = -\cos(x_1)~ \sin(x_2) ~F(t) p = \frac{\rho}{4} \left( \cos(2x_1) + \cos(2x_2) \right)~ F(t)^22 KB (292 words) - 18:26, 30 July 2019
- u_1 = \sin(x_1)~ \cos (x_2)~ F(t) \qquad \qquad u_2 = -\cos(x_1)~ \sin(x_2) ~F(t) p = \frac{\rho}{4} \left( \cos(2x_1) + \cos(2x_2) \right)~ F(t)^22 KB (291 words) - 18:27, 30 July 2019
- _k = \sum_{n=0}^{N-1} ~ F_n~ \cos \left(\frac{\pi}{N} \left(n\!+\!\frac{1}{2}\right) k \right) ~ ~ ~\), \(~ ~ \(F(x)=\cos(x)+.1*\cos(3x)+.01*\cos(5x)\)5 KB (682 words) - 18:27, 30 July 2019
- \(c=\cos(\theta)\), \(\Theta(\theta)=F(c )=F(\cos(\theta))\)3 KB (352 words) - 18:45, 30 July 2019
- ...efers to the integral transform with kernel \(K(x,y)=\sqrt{\frac{2}{\pi}} \cos(xy)\); ...)=\,\)[[CosFT]]\(f\,(x) \displaystyle =\sqrt{\frac{2}{\pi}} \int_0^\infty \cos(xy) \, f(y) \, \mathrm d y\)3 KB (468 words) - 18:47, 30 July 2019
- ..., or '''acos''', or '''arccos''' is [[holomorphic function]], inverse of [[cos]]. : \( \cos(\arccos(z))=z\)5 KB (758 words) - 09:09, 16 August 2025
- [[DCTI]] is one of realizations of the [[Discrete Cos transform]] operator. DCTI, or Discrete Cos Transform of kind I, is orthogonal transform, that repalces an array \(F\)10 KB (1,447 words) - 18:27, 30 July 2019
- [[cos]]\((x)=\displaystyle [[tan]]\((x)\,=\displaystyle \frac{\sin(x)}{\cos(x)}\)3 KB (496 words) - 18:45, 30 July 2019
- _k = \sum_{n=0}^{N-1} ~ F_n~ \cos \left(\frac{\pi}{N} \left(k\!+\!\frac{1}{2}\right) n \right) ~ ~ ~\), \(~ ~ _k = \sum_{n=0}^{N-1} ~ F_n~ \cos \left(\frac{\pi}{N} \left(n\!+\!\frac{1}{2}\right) k \right) ~ ~ ~\), \(~ ~6 KB (825 words) - 18:25, 30 July 2019
- ...\!\!\!\! (1) \displaystyle ~ ~ ~ ふ_{\mathrm C}(x,y)=\sqrt{\frac{2}{\pi}} \cos(xy)\) ...playstyle \mathrm{CosFourier} f (x) = \sqrt{\frac{2}{\pi}} \int_0^\infty ~\cos(xy)~ f(y)~ \mathrm d y \)6 KB (915 words) - 18:26, 30 July 2019
- : \(\displaystyle \cosh(z)=\cos(\mathrm i z) = \frac{\mathrm e^z+\mathrm e^{-z} }{2}\) ...}(z) = \mathrm i ~ \mathrm{cosc} ( \mathrm i z ) \) \(= \mathrm i \frac{\cos(\mathrm i z)}{\mathrm i z}\)4 KB (509 words) - 18:26, 30 July 2019
- \displaystyle Y_0(x)=\frac{-2}{\pi} \int_0^\infty \cos(x \cosh(t)) \mathrm d t\) ...rac{9}{128 z^2}+\frac{3675}{32768 z^4}+O\left(\frac{1}{z^6}\right)\right) \cos \left(z-\frac{\pi }{4}\right)3 KB (445 words) - 18:26, 30 July 2019
- : \( \displaystyle \mathrm{cosc}(z)=\frac{\cos(z)}{z}\) </ref>. Therefore, the natural choice for the similar function with [[cos]] instead of [[sin]] is [[cosc]], and the good name for the [[inverse funct4 KB (649 words) - 18:26, 30 July 2019
- \displaystyle Y_n=\frac{-1}{\sqrt{3}} \cos\!\left(\omega t + \frac{2 \pi}{3} n\right) ~\) ...!\!\!\!\!\!\!\!\!(01) ~ ~ ~ \displaystyle U_n(t)=\frac{\omega}{\sqrt{3}} \cos\!\left(\omega t + \frac{2 \pi}{3} n\right) ~\), \(~8 KB (1,036 words) - 18:25, 30 July 2019