A local and simple learning algorithm is introduced that gradually minimizes an error function for neural states of a general network. Unlike standard backpropagation algorithms, it is based on linearizing the neurodynamics, which are interpreted as constraints for the different network variables. From the resulting equations, the weight update is deduced which has a minimal norm and produces s...

We derive a minimal generating set of planar moves for diagrams surfaces embedded in the four-space. These appear as bonded classical unlink diagrams.

In the context of phase-space quantization, matrix elements and observables result from integration of c-number functions over phase space, with Wigner functions serving as the quasi-probability measure. The complete sets of Wigner functions necessary to expand all phase-space functions include off-diagonal Wigner functions, which may appear technically involved. Nevertheless, it is shown here ...

In this work we study numbers and polynomials generated by two type of composition of generating functions and get their explicit formulae. Furthermore we state an improvementof the composita formulae's given in [6] and [3], using the new composita formula's we construct a variety of combinatorics identities. This study go alone to dene new family of generalized Bernoulli polynomials which incl...

Generation of Wigner functions of Landau levels and determination of their symmetries and generic properties are achieved in the autonomous framework of deformation quantization. Transformation properties of diagonal Wigner functions under space inversion, time reversal and parity transformations are specified and their invariance under a four-parameter subgroup of symplectic transformations ar...

Fuzzy Rule-Based Classification Systems (FRBCS) are highly investigated by researchers due to their noise-stability and  interpretability. Unfortunately, generating a rule-base which is sufficiently both accurate and interpretable, is a hard process. Rule weighting is one of the approaches to improve the accuracy of a pre-generated rule-base without modifying the original rules. Most of the pro...

An algorithm due to Bengalloun that continuously enumerates the primes is adapted to give the rst prime number sieve that is simultaneously sublinear, additive, and smoothly incremental: { it employs only (n= log log n) additions of numbers of size O(n) to enumerate the primes up to n, equalling the performance of the fastest known algorithms for xed n; { the transition from n to n + 1 takes on...

Poor households worldwide rely on savings groups (SGs) to satisfy their financial needs, yet very little is known about these groups’ ability to meet them. In this paper we develop a theoretical model illustrating the basic trade-offs in the functioning of SGs, and present stylized facts derived from the financial accounts of a sample of Ugandan SGs. The main conclusion from the theoretical mod...

The Nemours ModelTalker supports voice banking for users diagnosed with ALS/MND and related neurodegenerative diseases. Users record up to 1600 sentences from which a synthetic voice is constructed. For the past two years we have focused on extending and refining a web-based recording tool to support this process. In this demonstration, we illustrate the features of the web-based pipeline that ...