Sentence examples for a certain partial from inspiring English sources

The class is given in terms of solvability of a certain partial differential equation.

Theorem 1.1 Let ( X, d ) be a metric space endowed with a certain partial order ⪯.

Let ((X,d)) be a complete metric space endowed with a certain partial order ⪯.

Theorem 1.2 Let ( X, d ) be a complete metric space endowed with a certain partial order ⪯.

The need for a certain partial CO2 pressure was also reported for citric acid fermentations with Aspergillus niger (Papagianni 2007).

(3.1) where (T,A,B: Xto X) are given operators and ((X,d)) is a metric space endowed with a certain partial order ⪯.

It is a challenging work to find an appropriate membership function when certain partial information about a fuzzy variable is given, such as expected value or moments.

Therefore, an improper handling of certain partial failures can easily lead to accidents and severe chain reactions, and thus may cause large-scale/extensive blackout eventually.

Consider a certain mixed partial P m of mean frequency f m ¯.

We investigate a certain stochastic partial differential equation which is defined on the unit interval with periodic boundary condition and takes values in a manifold.

One possible approach to volatility uncertainty was developed in (Lyons 1995), where, for the case in which H=h(S(T)), the linear Eq. (TVP+) is replaced by a certain nonlinear partial differential equation that corresponds to a worst-case approach within a class of price trajectories whose realized volatility may vary within a given set.