Sentence examples for general conjecture from inspiring English sources

(i) Theorem 2.3 is a generalization of a general conjecture where for a reflexive Banach space X, w*-thick sets are (norm) thick in X*.

This leads to the general conjecture, considering the acoustics of shear flows in ducts, that critical levels separate regions with distinct sets of eigenvalues and eigenfunctions.

We discuss a mechanism by which solar variability can influence this pattern and formulate an updated general conjecture of how external influences on Earth's dynamics can affect climate patterns.

In the late 1970's, Dr. Thurston extended Poincaré's conjecture, showing that it was only a special case of a more powerful and general conjecture about three-dimensional geometry, namely that any space can be decomposed into a few basic shapes.

The purpose of this section is to briefly recall some aspects of this geometric connection in order to provide a context for a general conjecture about Zariski-dense subgroups.

Based on our results in [11], it is difficult to prove global asymptotic stability results of the unique equilibrium even for linear fractional difference equations; there are still two remaining cases one needs to study to prove the general conjecture that the local stability of the unique equilibrium implies the global stability.

This is a news article on Fermat's last theorem which outlines the direction of Wiles' important attack on Fermat's last theorem (as well as the far more general Taniyama conjecture), other recent developments in this field, and what rôle Maple has played in research on this subject.

Thus, in general, we conjecture that it is not possible to decide whether Eq. (4.3) is oscillatory or non-oscillatory for γ = Γ.

In their philosophical moments they may wonder just what the concepts they are wrestling with are 'about', but they do not in general entertain conjectures or try to prove things 'about' expression strings, except where it is of instrumental value to them in proving things about sets, spaces, the complex plane and so on (cf. Resnik pp. 70 71).

The bridgeless graphs that can be decomposed into such small sets form a restricted class of the cubic bridgeless graphs, but we show that the existence of subsequent constructions of DCDCs avoiding a single cut-type obstruction in this restricted class of graphs encompasses the general Jaeger's conjecture.

Finally, we present the following more general and quantitative conjecture.