slovodefinícia
cosine
(mass)
cosine
- kosínus
cosine
(encz)
cosine,kosinus n: Zdeněk Brož
Cosine
(gcide)
Cosine \Co"sine\ (k?"s?n), n. [For co. sinus, an abbrev. of L.
complementi sinus.] (Trig.)
The sine of the complement of an arc or angle. See Illust. of
Functions.
[1913 Webster] Cosmetic
cosine
(wn)
cosine
n 1: ratio of the adjacent side to the hypotenuse of a right-
angled triangle [syn: cosine, cos]
cosine
(foldoc)
COSINE

Cooperation for Open Systems Interconnection Networking in
Europe. A EUREKA project.
cosine
(vera)
COSINE
Cooperation for OSI Networking in Europe (org.)
podobné slovodefinícia
cosiness
(encz)
cosiness,pohodlí Zdeněk Brožcosiness,útulnost n: Zdeněk Brož
sarcosine
(encz)
sarcosine, n:
chalcosine
(gcide)
Chalcocite \Chal"co*cite\, n. [Gr. chalko`s brass.] (Min.)
Native copper sulphide, called also copper glance, and
vitreous copper; a mineral of a black color and metallic
luster. [Formerly written chalcosine.]
[1913 Webster] Chalcographer
Cosine
(gcide)
Cosine \Co"sine\ (k?"s?n), n. [For co. sinus, an abbrev. of L.
complementi sinus.] (Trig.)
The sine of the complement of an arc or angle. See Illust. of
Functions.
[1913 Webster] Cosmetic
Cosine galvanometer
(gcide)
Galvanometer \Gal`va*nom"e*ter\, n. [Galvanic + -meter: cf. F.
galvanom[`e]tre.] (Elec.)
An instrument or apparatus for measuring the intensity of an
electric current, usually by the deflection of a magnetic
needle.
[1913 Webster]

Differential galvanometer. See under Differental, a.

Sine galvanometer, Cosine galvanometer, {Tangent
galvanometer} (Elec.), a galvanometer in which the sine,
cosine, or tangent respectively, of the angle through
which the needle is deflected, is proportional to the
strength of the current passed through the instrument.
[1913 Webster]
Glycosine
(gcide)
Glycosine \Gly"co*sine\, n. (Chem.)
An organic base, C6H6N4, produced artificially as a white,
crystalline powder, by the action of ammonia on glyoxal.
[1913 Webster]
hyperbolic cosines
(gcide)
Hyperbolic \Hy`per*bol"ic\, Hyperbolical \Hy`per*bol"ic*al\, a.
[L. hyperbolicus, Gr. ?: cf. F. hyperbolique.]
1. (Math.) Belonging to the hyperbola; having the nature of
the hyperbola.
[1913 Webster]

2. (Rhet.) Relating to, containing, or of the nature of,
hyperbole; exaggerating or diminishing beyond the fact;
exceeding the truth; as, an hyperbolical expression. "This
hyperbolical epitaph." --Fuller.
[1913 Webster]

Hyperbolic functions (Math.), certain functions which have
relations to the hyperbola corresponding to those which
sines, cosines, tangents, etc., have to the circle; and
hence, called hyperbolic sines, hyperbolic cosines,
etc.

Hyperbolic logarithm. See Logarithm.

Hyperbolic spiral (Math.), a spiral curve, the law of which
is, that the distance from the pole to the generating
point varies inversely as the angle swept over by the
radius vector.
[1913 Webster]
arc cosine
(wn)
arc cosine
n 1: the inverse function of the cosine; the angle that has a
cosine equal to a given number [syn: arc cosine,
arccosine, arccos, inverse cosine]
arccosine
(wn)
arccosine
n 1: the inverse function of the cosine; the angle that has a
cosine equal to a given number [syn: arc cosine,
arccosine, arccos, inverse cosine]
cosiness
(wn)
cosiness
n 1: a state of warm snug comfort [syn: coziness, cosiness,
snugness]
inverse cosine
(wn)
inverse cosine
n 1: the inverse function of the cosine; the angle that has a
cosine equal to a given number [syn: arc cosine,
arccosine, arccos, inverse cosine]
sarcosine
(wn)
sarcosine
n 1: a sweetish crystalline amino acid
discrete cosine transform
(foldoc)
discrete cosine transform

(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)

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