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hypothetical curve - traducción al ruso
WIKIMEDIA LIST ARTICLE
Hypothetical planets; List of Hypothetical astronomical objects; Hypothetical astronomical objects; Hypothetical planet (astronomy); Hypothetical planet; Hypothetical planetary object; List of hypothetical astronomical objects; List of hypothetical planetary bodies; List of hypothetical planetary objects; Hypothetical moon; Theoretical planet; Hypothetical natural satellite
![Artist's concept of a [[carbon planet]]. The surface is dark and reddish from hydrocarbon deposits.](https://commons.wikimedia.org/wiki/Special:FilePath/Carbon Planet.JPG?width=200 "Artist's concept of a [[carbon planet]]. The surface is dark and reddish from hydrocarbon deposits.")
![[[31 Crateris]], a possible [[eclipsing binary]] initially mistaken for a moon of Mercury.](https://commons.wikimedia.org/wiki/Special:FilePath/Eclipsing binary star animation 2.gif?width=200 "[[31 Crateris]], a possible [[eclipsing binary]] initially mistaken for a moon of Mercury.")
![Artist's conception of [[HD 209458 b]], a hypothetical [[Chthonian planet]], transiting its star.](https://commons.wikimedia.org/wiki/Special:FilePath/Transiting planet HD 209458b.png?width=200 "Artist's conception of [[HD 209458 b]], a hypothetical [[Chthonian planet]], transiting its star.")
hypothetical curve
математика
гипотетическая кривая
epidemic curve
A STATISTICAL CHART USED IN EPIDEMIOLOGY TO VISUALISE THE ONSET OF A DISEASE OUTBREAK.
Epi curve; Epidemiological curve
статистика
эпидемическая кривая
plane curve
CURVE IN A PLANE THAT MAY BE EITHER A EUCLIDEAN PLANE, AN AFFINE PLANE OR A PROJECTIVE PLANE
Complex plane curve; Plane curves; Two-dimensional curve
математика
плоская кривая
Definición
Bezier curve
<graphics> A type of curve defined by mathematical formulae,
used in computer graphics. A curve with coordinates P(u),
where u varies from 0 at one end of the curve to 1 at the
other, is defined by a set of n+1 "control points" (X(i),
Y(i), Z(i)) for i = 0 to n.
P(u) = Sum i=0..n [(X(i), Y(i), Z(i)) * B(i, n, u) ]
B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i)
C(n, i) = n!/i!/(n-i)!
A Bezier curve (or surface) is defined by its control points,
which makes it invariant under any affine mapping
(translation, rotation, parallel projection), and thus even
under a change in the axis system. You need only to transform
the control points and then compute the new curve. The
control polygon defined by the points is itself affine
invariant.
Bezier curves also have the variation-diminishing property.
This makes them easier to split compared to other types of
curve such as Hermite or B-spline.
Other important properties are multiple values, global and
local control, versatility, and order of continuity.
[What do these properties mean? ]
(1996-06-12)
Wikipedia
Hypothetical astronomical object
Various unknown astronomical objects have been hypothesized throughout recorded history. For example, in the 5th century BCE, the philosopher Philolaus defined a hypothetical astronomical object which he called the "Central Fire", around which he proposed other celestial bodies (including the Sun) moved.
