Sentence examples for connection formula from inspiring English sources

They satisfy a connection formula (see [11, formula ], [3, formula ]) as follows: (2.4).

Many types of neural networks have been designed already and new ones are invented every week but all can be described by the transfer functions of their neurons, by the learning rule, and by the connection formula.

Our connection formula is given as Figure 2 The composite domain consists of a head Ω 1 connected by an interface ∂Ω i to narrow neck Ω 2. The entire boundary is reflecting, except for a small absorbing part ∂Ω a. τ ̄ x → ∂ Ω a = τ ̄ x → ∂ Ω i + L 2 2 D + ∣ Ω 1 ∣ L ∣ ∂ Ω a ∣ D. (1).

Finally, we focus our attention on some outer relative asymptotics of such polynomials, which are deduced by using the above connection formulas.

In order to obtain estimates of the Sobolev orthogonal polynomials (hat{B}_n) we follow, essentially, the same techniques used in these papers and we present an alternative proof for a special case of [11, Theorem 4] (see the proof of Theorem 1) based on the connection formulas.

They range from simple schemes utilizing a semi-empirical vdW correction term [4] to very sophisticated first-principles methods based on the adiabatic-connection formula [5,6].

Reception rules: if P receives messages of a cascade of X and Y, we consider P receives X or Y; if P receives the connection of formula of X and Y, we consider P receives X or Y; P shares secret key K with Q.

To develop a better design method for extended end-plate bolt connection, design formulae in several codes are discussed and compared in this paper.

The results augmented with previous literature document the slip and shear strengths of these connections, propose formulas for assessing these strengths for the different conditions investigated, and provide recommendations for design of these types of connections.

The paper was motivated by papers by Atiyah and Frenkel, in connection with localization formulas in equivariant cohomology and with Kac's character formulas for affine Lie algebras.

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