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inverse cosine - translation to russian
INVERSE FUNCTION OF THE TRIGONOMETRIC FUNCTION
Arcsine; Arctan; Arctangent; Inverse tangent; Arccosine; Cyclometric function; Arc Sine; Arc sine; Arc Cosecant; Arc Cosine; Arc Cotangent; Arc Secant; Arc Tangent; Arcsin; Arccotangent; Arccosec; Arccosecant; Arccot; Arcctg; Inverse cosine; Inverse cotangent; Inverse cosecant; Arccsc; Inverse secant; Inverse sine; Arcsecant; Arctg; Arc cosecant; Arc function; Inverse trigonometric cofunctions; Cyclometric functions; ArcSin; Arc tangent; Arc cosine; Arc cotangent; Arc functions; Arcsin(x); Arccos(x); Arctan(x); Inverse trigonometric function; Inverse trig functions; Inverse trig function; Inverse trig; Inverse trigonometry; Arc trigonometric functions; Cyclometric; Arc- (function prefix); Arcus sinus; Arcus cosinus; Arcus tangens; Arcus secans; Arcus cotangens; Arcus cosecans; Arccos (trigonometry); Arcsin (trigonometry); Arccot (trigonometry); Arccsc (trigonometry); Arcsec (trigonometry); Arctan (trigonometry); Arctg (trigonometric function); Arcctg (trigonometric function); Arcus function; Trigonometric arcus function; Trigonometric arcus functions; Arc-trigonometric functions; Arc-trigonometric function; Arc trigonometric function; Anti-trigonometric function; Anti-trigonometric functions; Antitrigonometric function; Antitrigonometric functions; Arc-sine; Arc-cosine; Arc-tangent; Arc-cotangent; Arc-secant; Arc-cosecant; Anti-sine; Anti-cosine; Anti-tangent; Anti-cotangent; Anti-secant; Anti-cosecant; Antisine; Anticosine; Antitangent; Anticotangent; Antisecant; Anticosecant; Inv sin; Inv cos; Inv tan; Inv cot; Inv sec; Inv csc; Inverse trigonometric sine; Inverse trigonometric cosine; Inverse trigonometric tangent; Inverse trigonometric cotangent; Inverse trigonometric secant; Inverse trigonometric cosecant; Arcsec (trigonometric function); Arcsec (function); Asec (function); Inverse circular function; Inverse circular functions; Arc secant; Inverse trigonometric; Arc (function prefix); Arctangent function; Asin (function); Acos (function); Atan (function)
inverse cosine
математика
арккосинус
arc cosine
[ɑ:k'kəusain]
математика
арккосинус
arc-trigonometric function
математика
обратная тригонометрическая функция
Definition
discrete cosine transform
<mathematics> (DCT) A technique for expressing a waveform as a
weighted sum of cosines.
The DCT is central to many kinds of signal processing,
especially video compression.
Given data A(i), where i is an integer in the range 0 to N-1,
the forward DCT (which would be used e.g. by an encoder) is:
B(k) = sum A(i) cos((pi k/N) (2 i + 1)/2)
i=0 to N-1
B(k) is defined for all values of the frequency-space variable
k, but we only care about integer k in the range 0 to N-1.
The inverse DCT (which would be used e.g. by a decoder) is:
AA(i)= sum B(k) (2-delta(k-0)) cos((pi k/N)(2 i + 1)/2)
k=0 to N-1
where delta(k) is the Kronecker delta.
The main difference between this and a {discrete Fourier
transform} (DFT) is that the DFT traditionally assumes that
the data A(i) is periodically continued with a period of N,
whereas the DCT assumes that the data is continued with its
mirror image, then periodically continued with a period of 2N.
Mathematically, this transform pair is exact, i.e. AA(i) ==
A(i), resulting in lossless coding; only when some of the
coefficients are approximated does compression occur.
There exist fast DCT algorithms in analogy to the {Fast
Fourier Transform}.
(1997-03-10)
Wikipedia
Inverse trigonometric functions
In mathematics, the inverse trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric functions (with suitably restricted domains). Specifically, they are the inverses of the sine, cosine, tangent, cotangent, secant, and cosecant functions, and are used to obtain an angle from any of the angle's trigonometric ratios. Inverse trigonometric functions are widely used in engineering, navigation, physics, and geometry.
