One way to check this proposition, Dr. Miller said, would be to compare the rates of infidelity among high- and low-displaying species.
So it is important to check whether Proposition 1.1 and Claim 1.2 are true if ((X,p_{b})) is a partial b-metric space in the sense of Definition 2.3.
x, s ∈ Ω ¯ and 〈 x, s 〉 = 0 ; x, s ∈ Ω ¯ and x ∘ s = 0. Using Lemma 1.2, we can check (see Proposition 2.1 in [13]) that finding a pair of optimal solutions ( x, y, s ) of (P) and (D) is equivalent to solving the following Newton system: { A x = b, A T y + s = c, x ∘ s = 0, x, s ∈ Ω ¯, y ∈ R m. (4).
These optimal power allocation and prices are presented in Section 5.3 and feasibility is checked in Proposition 8.
I wondered if she meant it or if it was just a way to check Dad's proposition.
Sure, a whole fish is an economical proposition (check the price the next time you're at the fish counter and see how much you're paying for the labor to skin and filet), but when you wrap it in $9 worth of coarse sea salt which is then thrown away the economical angle is compromised, to say the least.
Check optimality condition of Proposition 1 to ensure global optimization.
Check out Wyatt's proposition at www.crc.org, or e-mail his outfit to see if someone near you has joined the club.
They are supposed to be "directly capable of verification"—akin to propositions derived from laws of nature which can be checked by experiment (1928, 475).
But the difference here is not one of degree but of kind: "in the sense in which it is impossible to check an infinite number of propositions it is also impossible to try to do so" (PG 452).
