The vector field
X naturally induces a meromorphic vector field
Y on B such that [[PI].
Now, we look if there is an associated three dimensional vector which transforms as a conformal vector field
1), we obtain easily that for a Yamabe soliton the vector field
V is a conformal vector field
, that is,
The key point of proposed MA-R algorithm is to compute the motion vector field
of the to-be-reconstructed frame by using the neighboring reconstructed key frames.
g]) admitting an ACV vector field
which also satisfies the evolution equation (6) of an ARS vector field
As another example, consider a vector field
V, with components [V.
Note: Determinism Test of the approximated vector field
for the attractor of DJIA, which is embedded in a three-dimensional manifold, with the pertaining determinism factor L = 0.
Section 3 deals with the classification of the integral curves of a linear vector field
for all vector fields
X and Y on M and S(X, Y) = g(QX, Y), (TAKASHI, 1977).
Hence, there is no logical reason why the standard 3D Navier-Stokes equations must always have solutions, even when the initial velocity vector field
is smooth; if they do always have solutions, it is due to probability (see ) and not logic, just like the Collatz 3n + 1 Conjecture and the Riemann Hypothesis (see [3,4]).
Tarr, 2005: Comparing 2D vector field
visualization methods: A user study.
Swarm's core instrument -- the Vector Field
Magnetometer -- was provided by the Technical University of Denmark.