I classified bilinear differential operators acting in the spaces of tensor fields on any real or complex manifold and invariant with respect to diffeomorphisms 1980. Here give details proof.

The algebraic and geometric structure of certain classes of nonlinear stochastic systems is exploited in order to obtain useful stability and estimation results. First, the class of bilinear stochastic systems (or linear systems with multiplicative noise) is discussed. The stochastic stability of bilinear systems driven by colored noise is considered; in the case that the system evolves on a so...

Bilinear models have been proposed to separate the factors from the observations for joint factors identification or translation tasks. However, the performance of existing bilinear models may degrade under challenging conditions when local image information cannot be obtained caused by occlusions or image noises. In this paper, a novel sub-pattern bilinear model (SpBM) is proposed. Different f...

The algebraic and geometric structure of certain classes of nonlinear stochastic systems is exploited in order to obtain useful stability and estimation results. First, the class of bilinear stochastic systems (or linear systems with multiplicative noise) is discussed. The stochastic stability of bilinear systems driven by colored noise is considered; in the case that the system evolves on a so...

Marital pressure is one of many cultural problems still existing in Indonesia. Research has shown that Indonesians tend to push individuals get married as an act conforming the dominion. This happens because being unmarried seen problematic or uncommon. Worst all, most use existence marriage a standard for value and happiness. negative belief against known singlism. It includes discriminating, ...