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SELF: The power of simplicity
, 1991
"... SELF is an objectoriented language for exploratory programming based on a small number of simple and concrete ideas: prototypes, slots, and behavior. Prototypes combine inheritance and instantiation to provide a framework that is simpler and more flexible than most objectoriented languages. Slots ..."
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Cited by 640 (19 self)
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. Slots unite variables and procedures into a single construct. This permits the inheritance hierarchy to take over the function of lexical scoping in conventional languages. Finally, because SELF does not distinguish state from behavior, it narrows the gaps between ordinary objects, procedures
Modeling and simulation of genetic regulatory systems: A literature review
 JOURNAL OF COMPUTATIONAL BIOLOGY
, 2002
"... In order to understand the functioning of organisms on the molecular level, we need to know which genes are expressed, when and where in the organism, and to which extent. The regulation of gene expression is achieved through genetic regulatory systems structured by networks of interactions between ..."
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Cited by 738 (14 self)
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In order to understand the functioning of organisms on the molecular level, we need to know which genes are expressed, when and where in the organism, and to which extent. The regulation of gene expression is achieved through genetic regulatory systems structured by networks of interactions between
Grounding in communication
 In
, 1991
"... We give a general analysis of a class of pairs of positive selfadjoint operators A and B for which A + XB has a limit (in strong resolvent sense) as h10 which is an operator A, # A! Recently, Klauder [4] has discussed the following example: Let A be the operator(d2/A2) + x2 on L2(R, dx) and let ..."
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Cited by 1122 (20 self)
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B = 1 x 1s. The eigenvectors and eigenvalues of A are, of course, well known to be the Hermite functions, H,(x), n = 0, l,... and E, = 2n + 1. Klauder then considers the eigenvectors of A + XB (A> 0) by manipulations with the ordinary differential equation (we consider the domain questions
The irreducibility of the space of curves of given genus
 Publ. Math. IHES
, 1969
"... Fix an algebraically closed field k. Let Mg be the moduli space of curves of genus g over k. The main result of this note is that Mg is irreducible for every k. Of course, whether or not M s is irreducible depends only on the characteristic of k. When the characteristic s o, we can assume that k ~ ..."
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Cited by 506 (2 self)
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~ (1, and then the result is classical. A simple proof appears in EnriquesChisini [E, vol. 3, chap. 3], based on analyzing the totality of coverings of p1 of degree n, with a fixed number d of ordinary branch points. This method has been extended to char. p by William Fulton [F], using specializations
Ordinary Functional Differential Equations, with Application to the Design of Perfectly Focusing Symmetric Lenses
, 1986
"... In the design of perfectly focusing symmetric lenses, one is led, in a natural way, to a set of functional differential equations; that is, differential equations involving composites of unknown functions, with initial conditions prescribed on the lens axis. This paper concentrates on those features ..."
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In the design of perfectly focusing symmetric lenses, one is led, in a natural way, to a set of functional differential equations; that is, differential equations involving composites of unknown functions, with initial conditions prescribed on the lens axis. This paper concentrates on those
Functional Reactive Animation
, 1997
"... Fran (Functional Reactive Animation) is a collection of data types and functions for composing richly interactive, multimedia animations. The key ideas in Fran are its notions of behaviors and events. Behaviors are timevarying, reactive values, while events are sets of arbitrarily complex condition ..."
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Cited by 284 (30 self)
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Fran (Functional Reactive Animation) is a collection of data types and functions for composing richly interactive, multimedia animations. The key ideas in Fran are its notions of behaviors and events. Behaviors are timevarying, reactive values, while events are sets of arbitrarily complex
A steepest descent method for oscillatory Riemann–Hilbert problems: asymptotics for the MKdV equation
 Ann. of Math
, 1993
"... In this announcement we present a general and new approach to analyzing the asymptotics of oscillatory RiemannHilbert problems. Such problems arise, in particular, in evaluating the longtime behavior of nonlinear wave equations solvable by the inverse scattering method. We will restrict ourselves ..."
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Cited by 303 (27 self)
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equations solvable by the inverse scattering method, such as the KdV, nonlinear Schrödinger (NLS), and Boussinesq equations, etc., and also to “integrable ” ordinary differential equations such as the Painlevé transcendents. As described, for example, in [IN] or [BC], the inverse scattering method
The Design and Implementation of an Operating System to Support Distributed Multimedia Applications
, 1996
"... Support for multimedia applications by general purpose computing platforms has been the subject of considerable research. Much of this work is based on an evolutionary strategy in which small changes to existing systems are made. The approach adopted here is to start ab initio with no backward compa ..."
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Cited by 291 (22 self)
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implementation on a number of hardware platforms is described. I. Introduction G ENERAL purpose multimedia computing platforms should endow text, images, audio and video with equal status: interpreting an audio or video stream should not be a privileged task of special functions provided by the operating system
An Algorithmic Proof Theory for Hypergeometric (ordinary and ``$q$'') Multisum/integral Identities
, 1991
"... this paper we show that these fast algorithms can be extended to the much larger class of multisum terminating hypergeometric (or equivalently, binomial coefficient) identities, to constant term identities of DysonMacdonald type, to MehtaDyson type integrals, and more generally, to identities inv ..."
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Cited by 189 (17 self)
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involving any (fixed) number of sums and integrals of products of special functions of hypergeometric type. The computergenerated proofs obtained by our algorithms are always short, are often very elegant, and like the singlesum case, sometimes yield the discovery and proof of new identities. We also do
Results 1  10
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