TPFS

AcronymDefinition
TPFSTriple Play Fantasy Sports
TPFSThrough-Penetration Firestop System (fire prevention)
TPFSTwin Pulse Field Stimulation (medical treatment)
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References in periodicals archive ?
Also, as TPFs must be positive valued, one notes that
Theorem 1 and the linear nature of summation give that TPFs easily can be combined to produce other TPFs.
The next theorem uses Theorem 6 to show that certain powers of TPFs are themselves TPFs while certain powers of non-TPF functions will not be TPFs.
As previously noted, [arc.C] erepanova (1963; 1966) proved that each of the functions f(x) = cos(x/2) and [cos.sup.2](x/2) is a TPF. In this paper the authors extend these results to show that functions of the form f(x) = [cos.sup.s](x/k) are TPFs for integers k [greater than or equal to] 2 and real numbers 0 [less than or equal to] s [less than or equal to] k.
Having proved that functions of the form f(x) = [cos.sup.k](x/k) are TPFs for integers k [greater than or equal to] 2, the authors will now expand this result to include all functions of the form f(x) = [cos.sup.s](x/k) for any integer k [greater than or equal to] 2 and any real number s, with 0 [less than or equal to] s [less than or equal to] k.
It is noted for integers k [greater than or equal to] 2 and numbers s > k that functions of the form f(x) = [cos.sup.s](x/k) sometimes are TPFs but not always.
It has been asked (see Aassila (2005)) if functions of the form f(x) = [sin.sup.s](x/2) would be TPFs for s > 0.
From statement (13) see that for s > 0, functions of the form f(x) = [sin.sup.s](x/2) cannot be TPFs.