Showing papers on "Representation (systemics) published in 1970"
TL;DR: In this paper, the Percus-Yevick hard-sphere radial distribution function, g(R), for R ˇ-5σ is analyzed in terms of complex variables.
Abstract: Explicit analytical expressions, written in terms of complex variables and suitable for rapid computer evaluation, are presented for the Percus-Yevick hard-sphere radial distribution function, g(R), for R ˇ- 5σ. Some effects of truncating g(R) to unity past R = 5 σ are discussed.
213 citations
TL;DR: In this paper, the transient performance of power systems is studied using large computer programs with representation of individual unit governing systems included, but detailed representation of hydrogovernors is not usually available, but rather, an equivalent transfer function is employed.
Abstract: In studying transient performance of power systems, large computer programs are now used with representation of individual unit governing systems included. Detailed representation of hydrogovernors is not usually available, but, rather, an equivalent transfer function is employed.
117 citations
54 citations
01 Jan 1970
51 citations
TL;DR: This article investigated the effect of short-term training procedures on the acquisition of the concept of conservation and found that screening misleading cues did not induce conservation, and the Bruner's modes of representation conflict hypothesis was not substantiated.
Abstract: Aspects of the effect of short-term training procedures upon the acquisition of the concept of conservation were investigated. 4 hypotheses were examined, yielding the following results: (a) screening misleading cues did not induce conservation; (b) Bruner's modes of representation conflict hypothesis was not substantiated; (c) transitional phase Ss were more likely to conserve and change progressively; and (d) using the present procedures, it was not possible to assess definitively whether only partial progress could be induced.
31 citations
29 citations
27 citations
20 citations
TL;DR: Evidence will be presented which will demonstrate that the cerebellum has the same detailed functional representation as is found for the sensory area of the cerebral cortex of many of the higher mammals.
20 citations
Journal Article•
TL;DR: Quasi-localized MO's have been constructed for the π electron system of the three pyridone isomers as discussed by the authors, where the electron system is composed of three different isomers.
Abstract: Quasi-localized MO's have been constructed for the π electron system of the three pyridone isomers.
TL;DR: In this article, it was shown that for complemented algebras with a continuous complementor, the Hubert space representation of the complementor can be expressed in terms of a strictly dense Hubert representation.
Abstract: Introduction. In this paper we obtain Hubert space representations for as large a class of complemented algebras as possible. In [2] the same problem was considered for complemented £*-algebras. It was shown then that if A is a topologically simple £*-algebra, then a sufficient (subject to a dimension restriction) and a necessary condition that a complementor p be expressible in terms of a Hubert space representation of A (or, equivalently, in the form Rp = (£,)# for some involution # in A) was that p be continuous. Throughout the present paper the same dimension restriction (that the algebra has no minimal left ideals of dimension less than three) will be imposed. In §5 a counterexample shows that it cannot be removed. The definition of continuity in [2] is not applicable to a general complemented algebra, but in §2 we give an alternative definition and show that this is an extension of the previous definition. In §3 we consider the case when A is a primitive Banach algebra. We obtain a faithful, continuous, strictly dense Hubert space representation for A when endowed with a continuous complementor. Under this we identify A with a left ideal of £(//) that is closed under a norm that majorises the operator norm. We then show that this representation characterizes primitive Banach algebras with continuous complementers. In §4 we use the results of §3 to obtain a faithful, continuous Hubert space representation for any semisimple Banach algebra A with a continuous complementor. Conversely, we show that, if any complemented algebra admits a representation of this form, then the complementor is continuous. We deduce that, if A is £*, then a necessary and sufficient condition that its complementor be expressible in the form £" = (£,)# is that it be continuous. This extends the result of [2]. In §5 we apply the results of §4 to show that the condition C2 in the definition of a complementor cannot be relaxed.
TL;DR: In this paper, it was shown that determining a function from its averages over all spheres passing through the origin leads to an explicit representation of the even solutions of the Darboux equation in the exterior of the characteristic cones in terms of the hyperboloidal means of the boundary data on the cones.
Abstract: It is shown that determining a function from its averages over all spheres passing through the origin leads to an explicit representation of the even solutions of the Darboux equation in the exterior of the characteristic cones in terms of the hyperboloidal means of the boundary data on the cones. The purpose of this paper is to derive a representation of the even-solutions of the Darboux equation 2?-i d2V/dxf-(n-l)/t dV/dt-d2V/dt2 = 0 in the exterior of the characteristic cones C0 (t= ± \X\, X e Rn, n odd ^3) in terms of its prescribed values on C0Let f(X) be a continuous function defined in Rn. The spherical means, SM, off is defined as follows: SM [/; X, P] = a,"1 f f(X+pcc) dwa, Ja where X is the center of the sphere of radius p. a denotes a unit vector. When P=\X\, we put SM [/; JST, |Jf|] = SM*/ The main part of this paper is concerned with the problem of determining functions from their integrals over a family of spheres passing through the origin. Specifically, if J(X) is a given function in Rn, the main problem is to find f(X) which satisfies (1) J(X) = SM*/ We shall show that inverting (1) is closely related to the representation of the evensolutions of the Darboux equation. The problem of determining functions from their integrals over spheres of a fixed radius was studied by F. John [3]. In this paper we shall make use of the means values of functions defined in Rn over the confocal hyperboloids which have the origin O and a point X=ra, r=\X\^Q, as foci, and the line OX as the axis of rotational symmetry. The Received by the editors August 19, 1969 and, in revised form, November 20, 1969. AMS Subject Classifications. Primary 3506, 3579.
01 Jan 1970
TL;DR: TOSAR has been developed in order to improve computerized literature searching in this respect and to help formulate concepts as a search condition and the characteristic connections under which these concepts appear in the inquiry.
Abstract: In mechanized systems used for searching in literature stores there is a steadily growing necessity not only to be able to formulate concepts as a search condition but also the characteristic connections under which these concepts appear in the inquiry. In this way the precision of the mechanized literature search is considerably increased. TOSAR has been developed in order to improve computerized literature searching in this respect.
TL;DR: In this paper, a quasi-Pauli representation of the spin operators is given, which enables an analysis of the processes in ferromagnets and antiferromagets to be performed in a more complete way.
Abstract: A quasi-Pauli representation of the spin operators is given. Since there are exact methods of representing the quasi-Pauli operators by either Bose or Fermi operators, this enables an analysis of the processes in ferromagnets and antiferromagnets to be performed in a more completed way.
[Russian Text Ignore]