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In practice this series is terminated after finitely many terms.
At a given energy level, there are only finitely many quantum states available for particles.
This led to his set theory having finitely many axioms.
A measure with this natural property is called finitely additive.
The concept of finitely generated space is related to this notion.
Only finitely many steps can be carried out before the value of the function is returned.
There are finitely many sites, and so over evolution, a single site can be changed multiple times.
The concept of "events" which have occurrences at finitely many points in time.
We will show that meets only finitely many of the .
These are the finitely generated modules whose support has dimension at most 0.
Let M be a finitely generated module over a local ring.
In particular the finitely many equations we have listed above suffice.
He was also the first to investigate fields with finitely many, elements, where p is a prime and.
For every natural number n, T has only finitely many n-types.
It is much more difficult to construct finitely generated infinite simple groups.
While such sets are infinite, they can always be finitely representable.
To turn this into an algorithm, only finitely many frequencies are solved for.
There are only finitely many hyperbolic knots with the same volume.
So, people mostly study acceptance conditions that are only finitely representable.
Moreover, is Morse at all but finitely many times.
The group of non-zero rational numbers is also not finitely generated.
It is not known whether there are finitely many, and if so how many might remain to be discovered.
Let k be a field and A finitely generated k-algebra.
In 1971 he conjectured that every finitely generated group is accessible.
There is no finitely prespecifiable set of ways this must happen.