Results 301 to 310 of about 13,937,425 (345)

The functions of multiple representations

Computers & Education, 1999
Multiple representations and multi-media can support learning in many diAerent ways. In this paper, it is claimed that by identifying the functions that they can serve, many of the conflicting findings arising out of the existing evaluations of multi-representational learning environments can be explained.
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The Representation of Conglomerative Functionals

2016
We prove results concerning the representation of certain linear functionals based on the notion of conglomerability, originally introduced by Dubins and de Finetti. We show that this property has some applications in probability and in statistics.
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Representation of Mental Imagery Functions

Perceptual and Motor Skills, 1995
A questionnaire was administered to 250 undergraduates to study their conceptions about the efficacy of mental images in thinking. Analysis showed that subjects rated differently the usefulness of visual imagery according to the kind of content rather than the mental process involved.
A, Antonietti, M, Giorgetti, L, Resinelli, L, Scafidi   +3 more
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Succinct Representations of Functions

2004
We investigate the problem of succinctly representing an arbitrary function, f: [n] →[n] so that f k (i) can be computed quickly for any i and any (positive or negative) integer power k. We give a representation that takes \((1+\epsilon) n \lg n + O(1)\) bits and computes arbitrary positive powers in constant time. It can also be used to compute f k (i)
J. Ian Munro, S. Srinivasa Rao 0001
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Equivalent Representations of Set Functions

Mathematics of Operations Research, 2000
This paper introduces four alternative representations of a set function: the Möbius transformation, the co-Möbius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.
Grabisch, Michel, Marichal, Jean-Luc, Roubens, Marc   +2 more
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A Sparse Representation for Function Approximation

Neural Computation, 1998
We derive a new general representation for a function as a linear combination of local correlation kernels at optimal sparse locations (and scales) and characterize its relation to principal component analysis, regularization, sparsity principles, and support vector machines.
Tomaso A. Poggio, Federico Girosi
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Inverse Problems for Representation Functions in Additive Number Theory

, 2007
For every positive integer h, the representation function of order h associated to a subset A of the integers or, more generally, of any group or semigroup X, counts the number of ways an element of X can be written as the sum (or product, if X is ...
M. Nathanson
semanticscholar   +1 more source

On the Representation of Arbitrary Functions and Their Generation

IEEE Transactions on Computers, 1970
Three methods are described for the representation of continuous functions as lattice polynomials in terms of a set of generators. They are two-stage-parallel, three-stage-parallel, and series- parallel. Each representation is in direct correspondence with an analog function generator.
Israel Korn, Anos Nathan
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Functional Representations of Lawson Monads

Applied Categorical Structures, 2001
The category of compact Haussdorff spaces is denoted by \({\mathcal C}omp\): A Lawson monad is a monad \(\mathbb{F}=(F,\eta,\mu)\) on \({\mathcal C}omp\) such that, for any \(t\in\mathbb{R}_+\), the closed interval \(I_t=[-t,t]\) is equipped with some \(\mathbb{F}\)-algebra structure in such a way that, for any \(t_1\leq t_2\) in \(\mathbb{R}_+\), \(I_{
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SOME REPRESENTATIONS OF TRIHARMONIC FUNCTIONS

KIBERNETYKA TA SYSTEMNYI ANALIZ
In this paper, a range of results have been obtained that enable one to consider the theory of game dynamics problems as an environment for constructing important mathematical objects. Namely, the triharmonic equation is integrated in the Cartesian coordinates with specially selected boundary conditions.
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