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If and, then there exists a function, which provides a solution to (3.9).
The T is a function which provides a randomness component to control exploration and exploitation of the actions.
Nevertheless, the distinction between positive and negative responsibility underlines that holding someone morally responsible has a function, which provides yet another perspective on the issue (Stahl 2006).
Under suitable assumptions on the functions and and on the coefficients of the operator, we will prove that, in the case where the positive real number is sufficiently small, there exists a function, which provides a solution to the boundary value problem (1.2).
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In the absence of a similar approach for protein domain organization, we start by defining a persistence function, which provides a heuristic argument for interpreting the MA power law.
We expect that an SR function which provides a larger separation of the smallest sum from the two other sums will imply a better reconstruction probability.
MIP formulation may include both integer and continuous variables, constraints (which typically enforce restrictions on permissible variable combinations), as well as an objective function, which provides for a means of evaluating the quality of a given solution satisfying the constraints (Floudas and Pardalos, 2009; Pardalos and Resende, 2002).
Recently, Frehse et al. [12] treated (gamma>frac{4}{3}) for Dirichlet boundary conditions, where they relied on the momentum equation by a test function which provides the potential estimates for pressure, and by a bootstrap argument different from that used in [11].
The activation of the hidden layer (a_h^{ k)}in {R^n}) for input (x_{l}^{(i)} in R^m) is defined as: begin{aligned} a_h(x)=f(W_1x_{l}+B_1), end{aligned} (2 where (f z)=frac{1}{(1+exp^ -z))}) is a sigmoid function which provides the nonlinear activation and (B_1+exp^ -zis bias vector.
The product of the CSD is a spherical function which provides information on the number and direction of the orientations present within a given voxel, as well as their relative weightings, referred to as the fibre orientation distribution (FOD).
This F-I curve is a square root function which provides a correspondence between the firing rate model and the theta model.
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