The proposed algorithm versus the nave method of analogous calculations drastically reduces the number of multipliers required for FPGA implementation of complex-valued constant matrix-vector multiplication. If the fully parallel hardware implementation of nave (schoolbook) method for complex-valued matrix-...
Consider a two-neuron complex-valued neural network with constant delay Global [mu]-stability of complex-valued neural networks with unbounded time-varying delays Xiao-hui, "Synchronization of complex-valued neural network with sliding mode control," Journal of The Franklin Institute, vol. Impulsive ...
(2) |ϕ|2 is constant. (3) ϕ(x)≠0 for all x∈M. As an obvious consequence we have the following. Corollary 4.3 If ϕ:M→C is a complex-valued (λ,μ)-eigenfunction on a compact and connected Riemannian manifold (M, g) such that λ≠μ, then there exists x∈M such th...
A nonconstant complex-valued function f of a complex variable z is said to be periodic if there is a nonzero complex number ω such that f(z +ω) = f(z) for all z, in which case ω is called a period of f. From: Handbook of Complex Analysis, 2005 ...
We gen- eralize TReLU through three modifications: a) a learned complex-valued scaling factor for each input channel, en- abling the layer to adapt to input magnitude and phase, b) hyperparameter r to control the magnitude threshold, and c) learned scaling constant for the output...
The bias is implemented by a constant input 1, and an additional complex-valued variable b is allocated in the weight vector to make the bias trainable. In this task, identity activation function (Supplementary Note 14) is applied to the single neuron. Therefore, Eq. (2) is simplified to ...
Fundamental theorem of algebra- letp(z)be non-constant complexpolynomial. Then there exists aξ∈\Csuch thatp(ξ)=0. Consequently, a complex polynomial of degree N > 1 has exactly N roots counted with multiplicity. § 2.1 differentiation of complex valued functions ...
Sufficient conditions for the existence of orbital motion and non-asymptotic, non-orbital motion in the solutions of constant coefficient complex variable differential equations are obtained through Liapunov''s direct method. Matrix analogues of those conditions assure the corresponding type of motion of ...
[2], [6] obtained common fixed point results by replacing the constant of contractive condition to control functions. Recently, Sitthikul et al. [4] established some fixed point results by generalizing the contractive conditions in the context of complex valued metric spaces. Many researchers have...
Let $p(\\\cdot):\\\ \\\mathbb R^no(0,\\\infty)$ be a variable exponent function satisfying that there exists a constant $p_0\\\in(0,p_-)$, where $p_-:... D Yang,C Zhuo,E Nakai - 《Revista Matemática Complutense》 被引量: 45发表: 2016年 Classes of weights related to...