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Factoring polynomials with rational coefficients

by A. K. Lenstra, H. W. Lenstra , L. Lovasz - MATH. ANN , 1982
"... In this paper we present a polynomial-time algorithm to solve the following problem: given a non-zero polynomial fe Q[X] in one variable with rational coefficients, find the decomposition of f into irreducible factors in Q[X]. It is well known that this is equivalent to factoring primitive polynomia ..."
Abstract - Cited by 961 (11 self) - Add to MetaCart
polynomials feZ[X] into irreducible factors in Z[X]. Here we call f ~ Z[X] primitive if the greatest common divisor of its coefficients (the content of f) is 1. Our algorithm performs well in practice, cf. [8]. Its running time, measured in bit operations, is O(nl2+n9(log[fD3). Here f~Tl[X] is the polynomial

The irreducibility of the space of curves of given genus

by P. Deligne, D. Mumford - 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 506 (2 self) - Add to MetaCart
from char. o to char. p provided that p> 2g q-i. Unfortunately, attempts to extend this method to all p seem to get stuck on difficult questions of wild ramification. Nowadays, the Teichmtiller theory gives a thoroughly analytic but very profound insight into this irreducibility when k----C. Our

Loopy belief propagation for approximate inference: An empirical study. In:

by Kevin P Murphy , Yair Weiss , Michael I Jordan - Proceedings of Uncertainty in AI, , 1999
"... Abstract Recently, researchers have demonstrated that "loopy belief propagation" -the use of Pearl's polytree algorithm in a Bayesian network with loops -can perform well in the context of error-correcting codes. The most dramatic instance of this is the near Shannon-limit performanc ..."
Abstract - Cited by 676 (15 self) - Add to MetaCart
;belief revision") version, Weiss For the case of networks with multiple loops, Richard son To summarize, what is currently known about loopy propagation is that ( 1) it works very well in an error correcting code setting and (2) there are conditions for a single-loop network for which it can be guaranteed

Formalising trust as a computational concept

by Stephen Paul Marsh , 1994
"... Trust is a judgement of unquestionable utility — as humans we use it every day of our lives. However, trust has suffered from an imperfect understanding, a plethora of definitions, and informal use in the literature and in everyday life. It is common to say “I trust you, ” but what does that mean? T ..."
Abstract - Cited by 529 (6 self) - Add to MetaCart
for the consideration of other agents and the environment in which it exists. Moreover, a formalisation of trust enables the embedding of the concept into an artificial agent. This has been done, and is documented in the thesis. 2. Exposition There are places in the thesis where it is necessary to give a broad outline

Motivation through the Design of Work: Test of a Theory. Organizational Behavior and Human Performance,

by ] Richard Hackman , Grec R Oldham , 1976
"... A model is proposed that specifies the conditions under which individuals will become internally motivated to perform effectively on their jobs. The model focuses on the interaction among three classes of variables: (a) the psychological states of employees that must be present for internally motiv ..."
Abstract - Cited by 622 (2 self) - Add to MetaCart
into the interdependencies between technical aspects of the work itself and the broader social milieu in which the work is done Yet for all its merit, the socio-technical systems approach provides few explicit specifications of how (and under what circumstances) the work itself and the social surroundings affect one

The Determinants of Credit Spread Changes.

by Pierre Collin-Dufresne , Robert S Goldstein , J Spencer Martin , Gurdip Bakshi , Greg Bauer , Dave Brown , Francesca Carrieri , Peter Christoffersen , Susan Christoffersen , Greg Duffee , Darrell Duffie , Vihang Errunza , Gifford Fong , Mike Gallmeyer , Laurent Gauthier , Rick Green , John Griffin , Jean Helwege , Kris Jacobs , Chris Jones , Andrew Karolyi , Dilip Madan , David Mauer , Erwan Morellec , Federico Nardari , N R Prabhala , Tony Sanders , Sergei Sarkissian , Bill Schwert , Ken Singleton , Chester Spatt , René Stulz - Journal of Finance , 2001
"... ABSTRACT Using dealer's quotes and transactions prices on straight industrial bonds, we investigate the determinants of credit spread changes. Variables that should in theory determine credit spread changes have rather limited explanatory power. Further, the residuals from this regression are ..."
Abstract - Cited by 422 (2 self) - Add to MetaCart
-quadratic regression σ(K) = a + bK + cK 2 , where K is the strike price. Our estimate of this slope, jump t , is defined via where F is the at-the money strike price, which equals the current futures price. We choose to look at the implied volatility at K = .9F because we do not want 6 to extrapolate the quadratic

How important is methodology for the estimates of the determinants of happiness

by Ada Ferrer-i-carbonell, Paul Frijters - Economic Journal , 2004
"... Psychologists and sociologists usually interpret happiness scores as cardinal and comparable across respondents, and thus run OLS regressions on happiness and changes in happiness. Economists usually assume only ordinality and have mainly used ordered latent response models, thereby not taking satis ..."
Abstract - Cited by 406 (14 self) - Add to MetaCart
on happiness,1 the last couple of years witnessed a spate of empirical studies on this subject.2,3 Next to the economic literature, there are more than 3000 studies done in the last 30 years by psychologists and sociologists (Veenhoven, 1994; Veenhoven, 1997). This means that there is now a large com

Why do Internet services fail, and what can be done about it?

by David Oppenheimer, Archana Ganapathi, David A. Patterson , 2003
"... In 1986 Jim Gray published his landmark study of the causes of failures of Tandem systems and the techniques Tandem used to prevent such failures [6]. Seventeen years later, Internet services have replaced fault-tolerant servers as the new kid on the 24x7-availability block. Using data from three la ..."
Abstract - Cited by 313 (10 self) - Add to MetaCart
In 1986 Jim Gray published his landmark study of the causes of failures of Tandem systems and the techniques Tandem used to prevent such failures [6]. Seventeen years later, Internet services have replaced fault-tolerant servers as the new kid on the 24x7-availability block. Using data from three

Storage and executive processes in the frontal lobes.

by Edward E Smith , John Jonides - Science, , 1999
"... The human frontal cortex helps mediate working memory, a system that is used for temporary storage and manipulation of information and that is involved in many higher cognitive functions. Working memory includes two components: short-term storage (on the order of seconds) and executive processes th ..."
Abstract - Cited by 401 (5 self) - Add to MetaCart
;executive processes." Short-term storage involves active maintenance of a limited amount of information for a matter of seconds; it is a necessary component of many higher cognitive functions (2) and is mediated in part by the prefrontal cortex (PFC) (3). Executive processes are implemented by PFC as well (4

O-O, What Have They Done to DB2?

by Michael Carey Don, Michael Carey, Don Chamberlin, Srinivasa Narayanan, Bennet Vance, Doug Doole, Serge Rielau, Richard Swagerman - In VLDB’99, Proceedings of 25th International Conference on Very Large Data Bases , 1999
"... In this paper, we describe our recent experiences in adding a number of object-relational extensions to the DB2 Universal Database #UDB# system as part of a research and development project at the IBM Almaden Research Center. In particular, wehave enhanced DB2 UDB with support for structured t ..."
Abstract - Add to MetaCart
#. Most of the features described here are currently shipping as part of Version 5.2 of the DB2 UDB product. We end this paper with a summary of the current status of our work and a discussion of what we plan to tackle next.
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