Sentence examples for must be finite from inspiring English sources

Since (mathcal {I}') is finitely branching, S must be finite.

One aspect of Turing's formulation, however, involves absolute finiteness: the table of behaviour of a Turing machine must be finite, since Turing allows only a finite number of 'configurations' of a Turing machine, and only a finite repertoire of symbols which can be marked on the tape.

Osherson and Weinstein (1984) even proved that under three fairly plausible assumptions about the conditions on learning, finiteness of the class of languages is necessary that is, a class must be finite if it is to be identifiable from text.

Since 1/χ = H/M, M at this temperature must be finite even when the magnetic field is zero.

And because the deals inside a venture capital fund are finite, a fund itself must be finite — and it is.

Al-Kindi went on to use the conclusion of this argument to maintain that time itself must be finite and consequently that the period of time during which the world has existed must be finite.

Investors may still be hoping that US companies will be able to squeeze out some more profits growth in the years ahead but a story based on a rising profit share alone must necessarily be finite.

In the tracking context the time horizon must necessarily be finite for the optimization problem to be mathematically well posed.

(For those results which do not extend verbatim to the unrestricted case, we will indicate in the statement that the graph must be row-finite (or finite); otherwise, we will make no such stipulation in the statement).

Call (E=E(M)) the injective envelope of M. Since M has finite Goldie dimension, E must be a finite direct sum of indecomposable injective modules.

Not all the kinetic energy of the wind can be extracted, because there must be a finite velocity as the air leaves the blading.