"Homelessness among the mentally ill is a finite problem, and we have an opportunity to solve it," Mr. Culhane said.
If usable keywords prove to be a finite resource, that could be a problem.
Let ((rho, mathbf{u})) be a finite energy weak solutions to the problem (1 - 3) and S_{varepsilon}[v]=vartheta_{varepsilon}ast v, quadtextit{where } vartheta _{varepsilon}=vartheta_{varepsilon}(x textit{ is a regularizing sequence}.
Because of (2.12), (widetilde{A}(beta ) equiv U beta )A beta )U beta )^{-1}) leaves ({mathrm{ran}}, P beta _0)) invariant and Open image in new window (2.13 If now (lambda _0) is a point of the discrete spectrum of (A beta _0)), then (P beta _0)) is finite dimensional, so Open image in new window is a finite dimensional problem and all the results of Step 1 apply.
We say that λ0 ∈ ℝ is a finite eigenvalue of the eigenvalue problem (3.9), if Λ λ0) = 0 and Λ ≠ 0 in some left neighborhood of λ0.
So, in effect, an input to the problem is a finite string over the alphabet (H, P)+.
They have a striking similarity to the speech recognition problem: there is a finite vocabulary, which despite inter- and intra-person variability, is reproducible; how events follow one another is strongly predictable (i.e., the task has a grammar); each event has an evolving temporal structure well modelled by left-to-right HMMs.
Since (4.4) is a linear problem in finite dimension, existence is equivalent to uniqueness.
But, as seen above with the sophisma 'The infinite are finite,' problems like these are treated as logical and conceptual problems.
Almeder's (1983) interpretation of Peirce's view of scientific progress is that there is only a finite number of scientific problems and they will all be solved in a finite time.
