Sentence examples for infinite cases from inspiring English sources

It is well known that giving some different approximations over finite cases is also as important as giving those over infinite cases.

Next, we prove the infinite case.

Step 2. We prove the infinite case.

The infinite case involves some complications that are not fruitfully entered into at this stage.

Assuming directional uniformity of the movements, they cancel each other's effect in the infinite case.

In this section we come to the infinite case with oscillatory integrals.

Bayesian statistics is first introduced in the context of a finite set of hypotheses, after which a generalization to the infinite case is provided.

This suggests that we can extend prefix-free Kolmogorov complexity to the infinite case in the straightforward way: an infinite sequence x is prefix-free Kolmogorov random iff every finite initial subsequence is prefix-free Kolmogorov random.

We extend the notions of the weak separation condition and the generalized finite type condition for finite IFSs to the infinite case.

This study allows a full description of the expressive power of cardinality-based circumscription in the finite case, and it provides some limitations in the infinite case.

Things get more complicated in the infinite case, since there cannot be a flat assignment over denumerably many outcomes, on pain of violating the standard probability calculus (with countable additivity).