Results 1  10
of
5,048,381
Numerical integration of the Cartesian equations of motion of a system with constraints: molecular dynamics of nalkanes
 J. Comput. Phys
, 1977
"... A numerical algorithm integrating the 3N Cartesian equations of motion of a system of N points subject to holonomic constraints is formulated. The relations of constraint remain perfectly fulfilled at each step of the trajectory despite the approximate character of numerical integration. The method ..."
Abstract

Cited by 686 (6 self)
 Add to MetaCart
(MD), which has been widely used in the past for studying simple liquids and solids, has more recently been applied to molecular systems with internal degrees of freedom such as N, [l], H,O [2] and even C,H,, [3]. In applying the MD method three problems arise: (a) the choice of a suitable mechanical
Ktheory for operator algebras
 Mathematical Sciences Research Institute Publications
, 1998
"... p. XII line5: since p. 12: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The RieszFischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
Abstract

Cited by 557 (0 self)
 Add to MetaCart
space is not σfinite. p. 13: add after I.2.6.16: I.2.6.17. If X is a compact subset of C not containing 0, and k ∈ N, there is in general no bound on the norm of T −1 as T ranges over all operators with ‖T ‖ ≤ k and σ(T) ⊆ X. For example, let Sn ∈ L(l 2) be the truncated shift: Sn(α1, α2,...) = (0
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 ~ ..."
Abstract

Cited by 504 (2 self)
 Add to MetaCart
~ (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
An inventory for measuring depression
 Archives of General Psychiatry
, 1961
"... The difficulties inherent in obtaining consistent and adequate diagnoses for the purposes of research and therapy have been pointed out by a number of authors. Pasamanick12 in a recent article viewed the low interclinician agreement on diagnosis as an indictment of the present state of psychiatry ..."
Abstract

Cited by 1117 (0 self)
 Add to MetaCart
to objective measurement have resulted in a wide variety of psychiatric rating ~ c a l e s. ~ J ~ These have been well summarized in a review article by Lorr l1 on "Rating Scales and Check Lists for the E v a 1 u a t i o n of Psychopathology. " In the area of psychological testing, a
New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
 COMM. ON PURE AND APPL. MATH
, 2002
"... This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges. Conceptually, the curvelet transform is a multiscale pyramid with many directions and positions at each length scale, and needleshap ..."
Abstract

Cited by 428 (21 self)
 Add to MetaCart
the wavelet decomposition of the object. For instance, the nterm partial reconstruction f C n obtained by selecting the n largest terms in the curvelet series obeys ‖f − f C n ‖ 2 L2 ≤ C · n−2 · (log n) 3, n → ∞. This rate of convergence holds uniformly over a class of functions which are C 2 except
The Retinoblastoma Protein and CellCycle Control
 Cell
, 1995
"... pRB, the product of the retinoblastoma tumor suppressor gene, operates in the midst of the cell cycle clock apparatus. Its main role is to act as a signal transducer connecting the cell cycle clock with the transcriptional machinery. In this role, pRB allows the clock to control the expression of b ..."
Abstract

Cited by 422 (4 self)
 Add to MetaCart
and perhaps all of its effects in a defined window of time in the first two thirds of the G1 phase of the cell cycle. As demonstrated by Pardee almost two decades ago, this is the time window during which the mam
On the bursty evolution of Blogspace
, 2003
"... O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +%&P &.F0, )& ;)S O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +% # O,<&7& =1 P &7"U;(Z ;>A@CB;D,[\D]K,D?^_ B`Bba]@C>Ac >AG8H$^2d)@C]E 9='0,*+82 &e " & Q (T0 U;Ub%&7*',#$ %& :3 Q ..."
Abstract

Cited by 358 (7 self)
 Add to MetaCart
O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +%&P &.F0, )& ;)S O)( 1 #$ #+&PQ+&,0,/RP 2 ":9:0/ +% # O,<&7& =1 P &7"U;(Z ;>A@CB;D,[\D]K,D?^_ B`Bba]@C>Ac >AG8H$^2d)@C]E 9='0,*+82 &e " & Q (T0 U;Ub%&7*',#$ %& :3
Understanding FaultTolerant Distributed Systems
 COMMUNICATIONS OF THE ACM
, 1993
"... We propose a small number of basic concepts that can be used to explain the architecture of faulttolerant distributed systems and we discuss a list of architectural issues that we find useful to consider when designing or examining such systems. For each issue we present known solutions and design ..."
Abstract

Cited by 374 (23 self)
 Add to MetaCart
We propose a small number of basic concepts that can be used to explain the architecture of faulttolerant distributed systems and we discuss a list of architectural issues that we find useful to consider when designing or examining such systems. For each issue we present known solutions and design
Trading Group Theory for Randomness
, 1985
"... In a previous paper [BS] we proved, using the elements of the Clwory of nilyotenf yroupu, that some of the /undamcnla1 computational problems in mat & proup, belong to NP. These problems were also ahown to belong to CONP, assuming an unproven hypofhedi.9 concerning finilc simple Q ’ oup,. The a ..."
Abstract

Cited by 352 (9 self)
 Add to MetaCart
of a matrix group given by a list of gnrrntors. These probtrms can bc vicwrd as m~lt~idimcnsio~r;lI vemiorm of a closr rrldivr of t.hc disrrct,r logarilhm prob1c.m. I tencc A’ltiro.VI ’ might be the lowrst natural romplcxity rla.us t bry may ii1 in. Wr remark that the resutt,s remain valid for blark
2475–2479 This journal is © The Royal Society of Chemistry 2008 Pu bl ish ed o n M ar ch 8. D ow nl oa de d by P en ns yl va ni a St at e U ni ve rs ity o n /0
, 2008
"... First published as an Advance Article on the web 3rd January 2001 The electrochemical generation and characterisation of a variety of oquinodimethanes (oQDMs) are described together with the outcome of preparative experiments in which they are key intermediates. The quinodimethanes are convenientl ..."
Abstract

Cited by 339 (7 self)
 Add to MetaCart
First published as an Advance Article on the web 3rd January 2001 The electrochemical generation and characterisation of a variety of oquinodimethanes (oQDMs) are described together with the outcome of preparative experiments in which they are key intermediates. The quinodimethanes
Results 1  10
of
5,048,381