Filters








93 Hits in 8.9 sec

Look Left, Look Right, Look Left Again: An Application of Fractal Symbolic Analysis to Linear Algebra Code Restructuring

Vijay Menon, Keshav Pingali
2004 International journal of parallel programming  
In this paper, we s h o w how fractal symbolic analysis can be used to convert between left-looking and rightlooking versions of three kernels of central importance in computational science: triangular  ...  Fractal symbolic analysis is a symbolic analysis technique for verifying the legality of program transformations.  ...  In this paper, we studied right-looking and left-looking formulations for three important linear algebra kernels, and argued that it is important to be able to restructure any formulation of these kernels  ... 
doi:10.1023/b:ijpp.0000042084.99636.a0 fatcat:nbegpx7plvbc7kqmbqhontlqlq

Fractal symbolic analysis

Nikolay Mateev, Vijay Menon, Keshav Pingali
2001 Proceedings of the 15th international conference on Supercomputing - ICS '01  
Fractal symbolic analysis combines some of the power of symbolic analysis with the tractability of dependence analysis.  ...  Fractal symbolic analysis is an approximate symbolic analysis that compares a program and its transformed version by repeatedly simplifying these programs until symbolic analysis becomes tractable while  ...  LU WITH PIVOTING Fractal symbolic analysis was developed for use in an ongoing project on optimizing the cache behavior of dense numerical linear algebra programs.  ... 
doi:10.1145/377792.377804 dblp:conf/ics/MateevMP01 fatcat:ywmheqdonfeslaftnodtiqdbci

Fractal symbolic analysis

Vijay Menon, Keshav Pingali, Nikolay Mateev
2003 ACM Transactions on Programming Languages and Systems  
Fractal symbolic analysis combines some of the power of symbolic analysis with the tractability of dependence analysis.  ...  Fractal symbolic analysis is an approximate symbolic analysis that compares a program and its transformed version by repeatedly simplifying these programs until symbolic analysis becomes tractable while  ...  LU WITH PIVOTING Fractal symbolic analysis was developed for use in an ongoing project on optimizing the cache behavior of dense numerical linear algebra programs.  ... 
doi:10.1145/945885.945888 fatcat:4mvfojedfzbdpou6x7fzszgwxm

The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts [article]

Sergey V. Petoukhov
2016 arXiv   pre-print
The diversity of known dialects of the genetic code is analyzed from the viewpoint of the genetic algebras. An algebraic analogy with Punnett squares for inherited traits is shown.  ...  Dyadic-shift decompositions of such genetic matrices lead to sets of sparse matrices. Each of these sets is closed in relation to multiplication and defines relevant algebra of hypercomplex numbers.  ...  Special thanks to my collaborators Stepanyan I.V. and Svirin V.I for their softwares for calculations in the field of matrix genetics.  ... 
arXiv:1102.3596v11 fatcat:aposxvlq2neibcj7eeicjxe4ve

Deciphering Hidden DNA Meta-Codes -The Great Unification & Master Code of Biology

Jean-claude Perez
2015 Journal of Glycomics & Lipidomics  
The wave curves obtained so far came from Master Code analysis of sequences restructured by triplet codons.  ...  For the majority of humans, moving the knight on a chess board is a simple left brained analytical procedure: "Move 2 squares and turn right or left."  ...  Page 20 of 20  ... 
doi:10.4172/2153-0637.1000131 fatcat:km74ufeg2veshk433cgip7joty

Understanding performance stairs

Bryan Marker, Don Batory, Robert van de Geijn
2014 Proceedings of the 29th ACM/IEEE international conference on Automated software engineering - ASE '14  
We provide a scientific justification for Dense Linear Algebra (DLA) heuristics by showing that only a few decisions (out of many possible) are critical to performance; once these decisions are made, the  ...  How do experts navigate the huge space of implementations for a given specification to find an efficient choice with minimal searching?  ...  Any opinions, findings and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation (NSF).  ... 
doi:10.1145/2642937.2642975 dblp:conf/kbse/MarkerBG14 fatcat:oxcp6tuxobaplafqzp4q25bxge

The genetic code, algebra of projection operators and problems of inherited biological ensembles [article]

Sergey Petoukhov
2017 arXiv   pre-print
This article is devoted to applications of projection operators to simulate phenomenological properties of the molecular-genetic code system.  ...  Described results can be used for developing algebraic biology, bio-technical applications and some other fields of science and technology.  ...  In this work an application of the CGR-method to visualizations of different genetic sequences of mononucleotides has revealed that these sequences are connected with different fractal patterns (CGR-fractals  ... 
arXiv:1307.7882v9 fatcat:qgqqxdnx45bmvgxuahc2ptaapi

Six Septembers: Mathematics for the Humanist

Patrick Juola, Stephen Ramsay
2017 Zea Books  
, there are more people to the right of the average than to the left, reflecting an asymmetry in the distribution. The West Springfield income data is another, albeit fictitious example.  ...  An argument with an "undistributed middle" has the middle term-the one that does not appear in the conclusion-appearing only on the right side (or left side) of the sentence (the predicate).  ...  This would have given us the 417 A Quick Review of Secondary-School Algebra inequality 50x > 330 or x > 6.6, which again suggests a need to rent seven buses.  ... 
doi:10.13014/k2d21vhx fatcat:uq6xn4pssfhhlmzygycheldp6q

Multiple Scattering in Clouds: Insights from Three-Dimensional Diffusion/P1 Theory

Anthony B. Davis, Alexander Marshak
2001 Nuclear science and engineering  
change in domain-average flux (i.e., diffuse transmittance) to the one-point covariance of internal fluctuations in particle density and in radiative flux.  ...  This phenomenology is used to (a) explain persistent features in satellite images of dense stratocumulus as radiative channeling, (b) set limits on current cloud remote-sensing techniques, and (c) propose  ...  An originally homogeneous plane-parallel medium is restructured internally by removing scattering material from the circular region highlighted on the right side and adding it to the region on the left  ... 
doi:10.13182/nse01-a2190 fatcat:34f3zoeecnesbepyrpaguf45ee

Nonstandard Finite Difference Schemes

Ronald E. Mickens
2018 Notices of the American Mathematical Society  
Mathematical Modeling, Analysis and Applications in  ...  Again, the signs come from the face dimensions. We discovered these results unexpectedly when studying a more general family of polytopes. Acknowledgments The contributions of EPFL MEDIACOM, L.  ...  In particular, we are looking for an applicant with expertise in algebra and an interest in a range of algebraic topics, such as representation theory, nonassociative algebras, and group theory.  ... 
doi:10.1090/noti1617 fatcat:nzhfdj7fsncndnhfiaegkizvue

Hints and Principles for Computer System Design [article]

Butler Lampson
2021 arXiv   pre-print
It also gives some principles for system design that are more than just hints, and many examples of how to apply the ideas.  ...  This new long version of my 1983 paper suggests the goals you might have for your system -- Simple, Timely, Efficient, Adaptable, Dependable, Yummy (STEADY) -- and techniques for achieving them -- Approximate  ...  , right-to-left writing, computed fields, mathematical typesetting, and many other complications.  ... 
arXiv:2011.02455v3 fatcat:jolyz5lknjdbpjpxjcrx5rh6fa

Draw Your Physics Homework? Art as a Path to Understanding in Physics Teaching

Jatila van der Veen
2012 The American Educational Research Journal  
model of Aesthetic Education to the study of contemporary physics, utilizing symmetry as the mathematical foundation of physics as well as the conceptual link between physics and the arts.  ...  The persistent fear of physics by learners motivated the author to take action to increase all students' interest in the subject via a new curriculum for introductory college physics that applies Greene's  ...  The author wishes to thank Professor Jenny Cook-Gumperz, Graduate School of Education, and Professor Philip Lubin, Department of Physics, UCSB, as well as the AERJ reviewers for critically reading the  ... 
doi:10.3102/0002831211435521 fatcat:hswhzelqkvedvbpoqyrqtqag6y

Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation [article]

Vincent E. Sacksteder IV
2004 arXiv   pre-print
This Ph.D. thesis contains original contributions to several areas within the disciplines of disordered systems, numerical linear algebra, and scientific computing: (1) Theoretical and numerical study  ...  problems which computing can cause for the physics community, and of the physics community's current efforts to handle those problems.  ...  The interpretation of formula 7.6 can be obtained by expanding the inverted term in a power series and then reading individual terms in the series either from right to left or from left to right.  ... 
arXiv:cond-mat/0411386v1 fatcat:lo2qkh5yazeubjdn6nwmmztq7e

International review panel

2011 2011 6th International Conference on Industrial and Information Systems  
Where creativity comes from Sean Hanna 45 Beyond Binary Choices: Understanding and exploiting trade-offs to enhance creativity Gerhard Fisher 71 COMPUTATIONAL CREATIVITY 93 Creativity as disruptive adaption  ...  Kalay of the University of California at Berkeley, to whom the authors express their heartfelt thanks.  ...  The reviewers of this paper have provided valuable feedback leading to this final version.  ... 
doi:10.1109/iciinfs.2011.6038027 fatcat:olgp74wayzadfb7n7f7mtx2jyi

Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems

Ichiro Tsuda
2001 Behavioral and Brain Sciences  
We propose a new coding scheme of information in chaos-driven contracting systems we refer to as Cantor coding.  ...  Tsuda seeks to apply his framework to biological information processing, perception, and memory, proposing a Commentary/Tsuda: Toward an interpretation of dynamic neural activity in terms of chaotic dynamical  ...  ACKNOWLEDGMENT ACKNOWLEDGMENT We would like to express our sincere thanks to Takao Namiki for critically reading the manuscript of this response.  ... 
doi:10.1017/s0140525x01000097 fatcat:d2mpwqliqjdetnzhwbktezj4ka
« Previous Showing results 1 — 15 out of 93 results