Sentence examples for mathematical properties which from inspiring English sources

In Linsky and Zalta's version of plenitudinous platonism, the mathematical entity that is postulated by a consistent mathematical theory has exactly the mathematical properties which are attributed to it by the theory.

It is shown that these mathematical properties, which have been discussed for fuzzy variables and rough variables by Liu [3] as well as for fuzzy random variables by Yang and Liu [19], are also valid for fuzzy rough variables in a similar way.

Interestingly, these systems have mathematical properties which favor the qualitative analysis of their dynamics [35] [38].

Combined with the results of mathematical models, the geometrical properties, which include the normal curvature, the principal curvature, the first principal direction and the second principal direction, are investigated.

Vectors in vector spaces do not necessarily have to be arrow-like objects as they appear in the mentioned examples: vectors are regarded as abstract mathematical objects with particular properties, which in some cases can be visualized as arrows.

Investigators attempt to discover essential properties which enable this pathway to direct chemotactic behaviors by establishing and analyzing its mathematical model [11] [13].

The reason is simple: many think that just which mathematical properties are instantiated is a necessary matter.

These optimizations include the use of GPU acceleration and the exploitation of the mathematical properties of spherical harmonics, which are used as test functions in the moment formulation.

Our examples provide only a few among many ways in which the mathematical properties we have obtained for FST can be used to interpret its behavior in the analysis of empirical data.

CISA can also be used to define a distance between shapes which has useful mathematical properties; a mean shape signal for a set of signals can be defined, which minimizes the sum of squared shape distances of the set from the mean.

In mathematics, a dynamical system is chaotic if it is (highly) sensitive to initial conditions (the so-called "butterfly effect" ), which requires the mathematical properties of topological mixing and dense periodic orbits.