- n_{\text{c}}}
denote the prin****l
semiaxes of the
index ellipsoid, and
choose a
Cartesian coordinate system in
which these semiaxes are
respectively in the x...
- a {\displaystyle a} (i.e., the
semiaxis of revolution) and
equatorial semiaxes b {\displaystyle b} , the
intrinsic viscosity can be
written [ η ] = (...
- figure, the
singular values can be
interpreted as the
magnitude of the
semiaxes of an
ellipse in 2D. This
concept can be
generalized to n {\displaystyle...
- {\displaystyle {\frac {1}{8}}m\left(5a^{2}+4b^{2}\right)}
Ellipsoid (solid) of
semiaxes a, b, and c with m**** m I x = 1 5 m ( b 2 + c 2 ) {\displaystyle I_{x}={\frac...
-
equatorial semiaxes. Conversely, in
oblate spheroids, the
axial ratio p < 1
since the
axial semiaxis is
shorter than the
equatorial semiaxes. Finally,...
- {\displaystyle A=\pi \left|\det({\vec {f}}_{1},{\vec {f}}_{2})\right|.}
Semiaxes With the
abbreviations M = f → 1 2 + f → 2 2 , N = | det ( f → 1 , f...
- \end{aligned}}} The
velocity distribution for
tubes of
elliptical cross-section with
semiaxes a and b is u ( y , z ) = G 2 μ ( 1 a 2 + 1 b 2 ) ( 1 − y 2 a 2 − z 2 b...
- {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}+{\frac {z^{2}}{c^{2}}}=1} with
semiaxes a, b, c the
second surface is
given by x 2 a 2 + λ + y 2 b 2 + λ + z 2...
- {\frac {x^{2}}{a^{2}}}-{\frac {y^{2}}{b^{2}}}=1.} The
major and
minor semiaxes a {\displaystyle a} and b {\displaystyle b} are
defined by the equations...
- {\displaystyle d'} and n ′ {\displaystyle n'} . Input:
lengths of the
semiaxes a 1 , b 1 , a 2 , b 2 {\displaystyle a_{1},b_{1},a_{2},b_{2}} , unit vectors...