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- Etymologie
theoretical curve - Übersetzung nach russisch
ACADEMIC FIELD
Theoretical chemist; Theoretical Chemistry
theoretical curve
общая лексика
теоретическая кривая
медицина
расчётная 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
Definition
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
Theoretical chemistry
Theoretical chemistry is the branch of chemistry which develops theoretical generalizations that are part of the theoretical arsenal of modern chemistry: for example, the concepts of chemical bonding, chemical reaction, valence, the surface of potential energy, molecular orbitals, orbital interactions, and molecule activation.
