Search results for " function"

Complex analysis for the solution of torsion problems: a comparison among three methods

2009

On the inductive inference of recursive real-valued functions

1999

AbstractWe combine traditional studies of inductive inference and classical continuous mathematics to produce a study of learning real-valued functions. We consider two possible ways to model the learning by example of functions with domain and range the real numbers. The first approach considers functions as represented by computable analytic functions. The second considers arbitrary computable functions of recursive real numbers. In each case we find natural examples of learnable classes of functions and unlearnable classes of functions.

Boolean Functions with a Low Polynomial Degree and Quantum Query Algorithms

2005

The complexity of quantum query algorithms computing Boolean functions is strongly related to the degree of the algebraic polynomial representing this Boolean function. There are two related difficult open problems. First, Boolean functions are sought for which the complexity of exact quantum query algorithms is essentially less than the complexity of deterministic query algorithms for the same function. Second, Boolean functions are sought for which the degree of the representing polynomial is essentially less than the complexity of deterministic query algorithms. We present in this paper new techniques to solve the second problem.

A note on Fréchet and approximate subdifferentials of composite functions

1994

The aim of this note is to present in the reflexive Banach space setting a natural and simple proof of the formula of the approximate subdifferential of a composite function.

Using Technologies to Teach Different Age Groups Meaningfully

2018

Increasing use of technologies in schools is inevitable as technologies provide new opportunities for innovative ways of learning and naturally attract students’ attention as modern and even playful tools. However, use of technologies can be most effective if the tasks are suitable for the specific age of students. It is necessary for teachers to be aware of cognitive development of children in different age groups in order to offer teaching methods and tasks that can be well-perceived by students and that foster the development of their cognitive abilities. This chapter provides a brief overview of cognitive development of children at different school ages, including development of executi…

Social interactional behaviors and symbolic play competence as predictors of language development and their associations with maternal attention-dire…

1999

Abstract Children’s early social interactional behaviors and symbolic play competence were studied at 14 months in a sample of 111 mother-infant pairs. The categories of social interactional behaviors, joint visual attention, socially coordinated and object oriented interactions were assessed via observations of mother-infant joint play. An index of symbolic play was derived from the child’s solitary play, which was assessed independently. We examined both the interrelations of these two types of early language predictors, and their relation to children’s language skills and maternal attention-directing strategies. Measures of children’s language comprehension and production were obtained u…

Exploring parallel capabilities of an innovative numerical method for recovering image velocity vectors field

2010

In this paper an efficient method devoted to estimate the velocity vectors field is investigated. The method is based on a quasi-interpolant operator and involves a large amount of computation. The operations characterizing the computational scheme are ideal for parallel processing because they are local, regular and repetitive. Therefore, the spatial parallelism of the process is studied to rapidly proceed in the computation on distributed multiprocessor systems. The process has shown to be synchronous, with good task balancing and requiring a small amount of data transfer.

Vertical spectrum of the C2H 2+ system. An open shell (SC)2-CAS-SDCI study

2003

The open shell (SC)(2)-CAS-SDCI method along with a basis set of atomic natural orbitals (ANO) has been applied for calculating the main ionization potentials of acetylene, as well as the manifold of excited states of the different symmetries up to 32 eV. In this method, the single and double excitations of a CAS space are generated and the corresponding CI matrix is corrected by means of the (SC)(2) procedure that cancels the size-extensivity error and adds some high order contributions. The mean absolute error for the outer-valence X (2)Pi(u)(1pi(u) (-1)), A (2)Sigma(g) (+)(3sigma(g) (-1)), and B (2)Sigma(u) (+)(2sigma(u) (-1)) states, and the inner-valence C (2)Sigma(g) (+)(2sigma(g) (-1…

Local Total Variation Bounded Methods for Hyperbolic Conservation Laws

2003

Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D

2000

We examine a finite element approximation of a quasilinear boundary value elliptic problem in a three-dimensional bounded convex domain with a smooth boundary. The domain is approximated by a polyhedron and a numerical integration is taken into account. We apply linear tetrahedral finite elements and prove the convergence of approximate solutions on polyhedral domains in the $W^1_2$ -norm to the true solution without any additional regularity assumptions.