67,588 research outputs found
Numerical Analysis
Acknowledgements: This article will appear in the forthcoming Princeton Companion to Mathematics, edited by Timothy Gowers with June Barrow-Green, to be published by Princeton University Press.\ud
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In preparing this essay I have benefitted from the advice of many colleagues who corrected a number of errors of fact and emphasis. I have not always followed their advice, however, preferring as one friend put it, to "put my head above the parapet". So I must take full responsibility for errors and omissions here.\ud
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With thanks to: Aurelio Arranz, Alexander Barnett, Carl de Boor, David Bindel, Jean-Marc Blanc, Mike Bochev, Folkmar Bornemann, Richard Brent, Martin Campbell-Kelly, Sam Clark, Tim Davis, Iain Duff, Stan Eisenstat, Don Estep, Janice Giudice, Gene Golub, Nick Gould, Tim Gowers, Anne Greenbaum, Leslie Greengard, Martin Gutknecht, Raphael Hauser, Des Higham, Nick Higham, Ilse Ipsen, Arieh Iserles, David Kincaid, Louis Komzsik, David Knezevic, Dirk Laurie, Randy LeVeque, Bill Morton, John C Nash, Michael Overton, Yoshio Oyanagi, Beresford Parlett, Linda Petzold, Bill Phillips, Mike Powell, Alex Prideaux, Siegfried Rump, Thomas Schmelzer, Thomas Sonar, Hans Stetter, Gil Strang, Endre Süli, Defeng Sun, Mike Sussman, Daniel Szyld, Garry Tee, Dmitry Vasilyev, Andy Wathen, Margaret Wright and Steve Wright
Visualization of Data by Method of Elastic Maps and Its Applications in Genomics, Economics and Sociology
Technology of data visualization and data modeling is suggested. The basic of the technology is original idea of elastic net and methods of its construction and application. A short review of relevant methods has been made. The methods proposed are illustrated by applying them to the real economical, sociological and biological datasets and to some model data distributions.
The basic of the technology is original idea of elastic net - regular point approximation of some manifold that is put into the multidimensional space and has in a certain sense minimal energy. This manifold is an analogue of principal surface and serves as non-linear screen on what multidimensional data are projected.
Remarkable feature of the technology is its ability to work with and to fill gaps in data tables. Gaps are unknown or unreliable values of some features. It gives a possibility to predict plausibly values of unknown features by values of other ones. So it provides technology of constructing different prognosis systems and non-linear regressions.
The technology can be used by specialists in different fields. There are several examples of applying the method presented in the end of this paper
Graphics calculators in upper secondary courses
This paper has been produced on request of the Secondary Education Authority, as part of a process of considering the potential impact of graphics calculators on upper secondary school courses. The paper provides background on this matter for the Authority and for committee members, including syllabus committees that may be affected by the decision to permit the use of graphics calculators in Tertiary Entrance Examinations
LANGUAGE DOCUMENTATION ON JAVANESE: A SHIFT TOWARDS RECOGNIZING AND CELEBRATING COLLOQUIAL VARIETIES
Javanese has benefitted from a long history of linguistic study. To focus on grammars,
Javanese boasts grammars in French by Favre (1866); in Dutch by Kiliaan (1919),
Prijohoetomo (1937), Arps et al. (2000); in Indonesian by Suharno (1982), Sudaryanto
(1991; ed), Wedhawati et al. (2006); in English by Horne (1961), Keeler (1992), Robson
(2014); among others. Although Javanese already has a stable scholarly tradition, the
focus has been almost exclusively on the Standard variety, spoken in the principalities of
Yogyakarta and Solo, constituting a small sliver of the attested language. Given its vast
dialectal variation, there is still a huge need for linguistic research on Javanese. With the
advent of establishing language documentation as a branch of linguistics (Himmelmann
1991), some progress has been made in the documentation and description of colloquial
varieties: for example, Suwadji (1981) on Javanese varieties on the north coast of Central
Java; Conners (2008) on Tengger Javanese; Hoogervorst (2010) on Surabayan Javanese;
Vander Klok (2012) on Paciran Javanese. These works represent a shift towards the
recognition and validation of non-standard varieties of Javanese, which were unnoticed in
the past. We advocate for the continuation of this trend. In particular, we present our
work on the documentation of two colloquial varieties of Javanese, Malang Javanese and
Semarang Javanese, for which the outcome of this project is a reference grammar. We
end by highlighting the importance of such documentation, especially of non-standard
varieties, for language maintenance: even large languages are susceptible to language
endangerment, and Javanese is no exception (e.g. Kurniasih 2006; Smith-Hefner 2009;
Cohn et al. 2013)
Architecture and Design of Medical Processor Units for Medical Networks
This paper introduces analogical and deductive methodologies for the design
medical processor units (MPUs). From the study of evolution of numerous earlier
processors, we derive the basis for the architecture of MPUs. These specialized
processors perform unique medical functions encoded as medical operational
codes (mopcs). From a pragmatic perspective, MPUs function very close to CPUs.
Both processors have unique operation codes that command the hardware to
perform a distinct chain of subprocesses upon operands and generate a specific
result unique to the opcode and the operand(s). In medical environments, MPU
decodes the mopcs and executes a series of medical sub-processes and sends out
secondary commands to the medical machine. Whereas operands in a typical
computer system are numerical and logical entities, the operands in medical
machine are objects such as such as patients, blood samples, tissues, operating
rooms, medical staff, medical bills, patient payments, etc. We follow the
functional overlap between the two processes and evolve the design of medical
computer systems and networks.Comment: 17 page
Screening of energy efficient technologies for industrial buildings' retrofit
This chapter discusses screening of energy efficient technologies for industrial buildings' retrofit
Efficient resolution of the Colebrook equation
A robust, fast and accurate method for solving the Colebrook-like equations
is presented. The algorithm is efficient for the whole range of parameters
involved in the Colebrook equation. The computations are not more demanding
than simplified approximations, but they are much more accurate. The algorithm
is also faster and more robust than the Colebrook solution expressed in term of
the Lambert W-function. Matlab and FORTRAN codes are provided
Field Study for Remote Sensing: An instructor's manual
The need for and value of field work (surface truthing) in the verification of image identification from high atitude infrared and multispectral space sensor images are discussed in this handbook which presents guidelines for developing instructional and research procedures in remote sensing of the environment
QIP = PSPACE
We prove that the complexity class QIP, which consists of all problems having
quantum interactive proof systems, is contained in PSPACE. This containment is
proved by applying a parallelized form of the matrix multiplicative weights
update method to a class of semidefinite programs that captures the
computational power of quantum interactive proofs. As the containment of PSPACE
in QIP follows immediately from the well-known equality IP = PSPACE, the
equality QIP = PSPACE follows.Comment: 21 pages; v2 includes corrections and minor revision
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