Sentence examples for mathematical objects that from inspiring English sources

If this is right, then any system of mathematical objects that can consistently be conceived of must actually exist.

The theory had the revolutionary aspect of treating infinite sets as mathematical objects that are on an equal footing with those that can be constructed in a finite number of steps.

So Russell postulated that only properties of mathematical objects that have already been shown to exist, determine classes.

Chaotic maps are mathematical objects that can be given as [28]: X_{n}1}=F(X_{n}), (6).

This form of platonism is characterized by a plenitude principle to the effect that any mathematical objects that could exist actually do exist.

Collectives are abstract mathematical objects that are not empirically instantiated, but that are nonetheless posited by von Mises to explain the stabilities of relative frequencies in the behavior of actual sequences of outcomes of a repeatable random experiment.

The Klein bottle is a mathematical object that has only one surface, like a 3-D Moebius strip.

A solution to the KPZ equation should be a mathematical object that represents the rough, irregular nature of the interface.

Later, he said, chaos scientists realized what this was: "a mathematical object that exhibits both order and chaos".

The underlying procedures were the same, and they were still described in parallel ways, but the new descriptions showed more clearly the underlying mathematical object that is responsible for their similarity namely, the equation.

9.4 of Griffiths (2002a), a mathematical object that can be used to generate a probability distribution.