We generate a spike in the j th time bin in the μ th spike train, whenever the following condition is fulfilled: (11).
In fact with the aid of α-admissibility of the contraction we will show that orbitally continuity assumption is not required whenever the following condition is satisfied.
One advantage of α-admissibility is that the continuity of the contraction is not required whenever the following condition is satisfied.
Reported ROE will be higher when debt financing is used instead of equity financing whenever the following holds: frac{mathrm{EARNINGS}-mathrm{ISSUE}times {mathrm{r}}_{mathrm{d}}}{{mathrm{EQUITY}}_{mathrm{t}-1}+mathrm{EARNINGS}-mathrm{ISSUE}times {mathrm{r}}_{mathrm{d}}}>frac{mathrm{EARNINGS}}{{mathrm{EQUITY}}_{mathrm{t}-1}+mathrm{ISSUE}+mathrm{EARNINGS}} (3).
Definition 1 Let x, y be two elements of K. We say that S ⊆ X ∗ has the surjective property on x and y whenever the following equality holds: 〈 S, x − y 〉 = { 〈 x ∗, x − y 〉 : x ∗ ∈ S } = R. Remark that we can consider x − y as a linear functional (denoted by x − y ˆ ) on X ∗ which is defined by 〈 x − y ˆ, f 〉 = 〈 f, x − y 〉.
Following [39], given a partial metric space ( X, p ) and a p-Picard operator f : X → X with fixed point x ∗ ∈ X, we will say that the fixed point problem for such a mapping is well posed with respect to p whenever the following property holds: If { x n } n ∈ N is a sequence in X such that lim n → ∞ p ( x n, f ( x n ) ) = 0, then { x n } n ∈ N converges to x ∗ with respect to τ ( p ).
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The first and major prediction is that grouping becomes serial whenever the following two conditions are met: (1) The task requires the transitive combination of local groupings, and (2) the overall configuration is unfamiliar, so that base groupings cannot have formed (Fig. 2b).
Lesson No. 1 would be the following: Whenever you see elephants flying, shut up and take notes.
Soon after I showed up at the farm, walking in the fields one afternoon while the village women picked cotton, a girl caught my eye, so that in days following whenever I passed her I became embarrassed, striking up some absurd conversation with Sameer, averting my gaze — I had not spoken to a girl since I shipped out from New York, several months earlier.
