5] An

invariant submanifold of a trans-Sasakian manifold is also trans-Sasakian.

A good method for constructing local feature descriptor [13] is proposed and two descriptors, MROGH (multi-support region order-based gradient histogram) and MRRID (multi-support region rotation and intensity monotonic

invariant descriptor), are presented.

Therefore, we plan to extend UOTSDF in our quaternion based face image correlator for the recognition of view

invariant person face since it is less complicated in computational viewpoint than conventional MACE filter and achieve good performance.

Invariant Analysis Technologies: These technologies automatically extract and model universal relationships that represent the characteristics of a system (

invariant) based on massive quantities of sensor data, without relying on domain knowledge of the plant system.

m are termed the

invariant polynomials of D(z) and have the following property

Chandok: Common fixed points,

invariant approximation and generalized weak contractions, Internat.

G] the ring formed by all polynomials

invariant under the action of G.

Since a partial differential equation is

invariant under a group of transformations, if their solutions are transformed in solutions under the action of the group, it is reasonable the possibility that some solutions of the equation also be

invariant under the group.

In Section 3 we also construct a cyclically

invariant Boolean function for which the product of 0-sensitivity and 1-sensitivity is [THETA]([square root of (n)]).

The focused results in the azimuth

invariant and variant cases are shown in Fig.

In other words, any other polynomial loop

invariant of Figure 1(b) is proved to be a logical consequence of xy - 1 = 0.

A graph G order p is a 3-path

invariant graph if, and only if, it is isomorphic to any of the following graphs: