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1. Foundations Of Mathematics
Second and higherorder Logic - by Robert Harper intro Second-order quantification model theory - Article from Stanford Encyclopedia of Philosophy more

2. Phys. Rev. D 6 (1972): Alan Chodos And Kenneth Lane - Theory Of Higher-Order Wea
PHYSICAL REVIEW D VOLUME 6, NUMBER 2 15 JULY 1972 theory of higherorder Weak . The transition amplitude K° -K0 in the quark model, due to Second-order
Physical Review Online Archive Physical Review Online Archive AMERICAN PHYSICAL SOCIETY
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Abstract/title Author: Full Record: Full Text: Title: Abstract: Cited Author: Collaboration: Affiliation: PACS: Phys. Rev. Lett. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. ST AB Phys. Rev. ST PER Rev. Mod. Phys. Phys. Rev. (Series I) Phys. Rev. Volume: Page/Article:
Phys. Rev. D 6, 596 - 606 (1972)
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Next article Issue 2 View Page Images PDF (1607 kB), or Buy this Article Use Article Pack Export Citation: BibTeX EndNote (RIS) Theory of Higher-Order Weak Interactions and CP -Invariance Violation. II. The Neutral K System
Alan Chodos and Kenneth Lane Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104
Received 2 December 1971 Continuing our exposition of a nonpolynomial theory of higher-order weak interactions, we examine the neutral K system, with particular emphasis on the CP , and we give an argument leading to η . The neutron dipole moment is a third-order weak effect in our theory and is estimated to be about 10 e cm. We calculate the production cross section for the superprop-agating particles, and find it to be too small for the particles to have yet been observed.

3. Publications
Secondorder and higher-order logic. Stanford encyclopedia of philosophy. In preparation. Partial draft. Completeness in Chang s modal model theory.
Publications of H. B. Enderton
Books A mathematical introduction to logic . Academic Press, 1972. Second edition, 2001. Spanish translation, 1987; second edition, 2004. Chinese translation, 2006. Elements of set theory . Academic Press, 1977. Linear algebra , 3rd ed . (with Michael O'Nan). HBJ, 1990. Papers Hierarchies in recursive function theory. Transactions of the American Mathematical Society , vol. 111 (1964), pp. 457-471. Hierarchies over recursive well-orderings (with David Luckham). The journal of symbolic logic , vol. 29 (1964), pp. 183-190. An infinitistic rule of proof. The journal of symbolic logic , vol. 32 (1967), pp. 447-451. On provable recursive functions. Notre Dame journal of formal logic , vol. 9 (1968), pp. 86-88. The unique existential quantifier. , vol. 13 (1970), pp. 52-54. A note on the hyperarithmetical hierarchy (with Hilary Putnam). The journal of symbolic logic , vol. 35 (1970), pp. 429-430. Finite partially-ordered quantifiers. , vol. 16 (1970), pp. 393-397. Approximating the standard model of analysis (with Harvey Friedman).

4. 03Cxx
03C52 Properties of classes of models; 03C55 Settheoretic model theory 03B48; 03C85 Second- and higher-order model theory; 03C90 Nonclassical models
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Model theory
  • 03C05 Equational classes, universal algebra [See also 03C07 Basic properties of first-order languages and structures 03C10 Quantifier elimination, model completeness and related topics 03C13 Finite structures [See also 03C15 Denumerable structures 03C20 Ultraproducts and related constructions 03C25 Model-theoretic forcing 03C30 Other model constructions 03C35 Categoricity and completeness of theories 03C40 Interpolation, preservation, definability 03C45 Classification theory, stability and related concepts 03C50 Models with special properties (saturated, rigid, etc.) 03C52 Properties of classes of models 03C55 Set-theoretic model theory 03C57 Effective and recursion-theoretic model theory [See also 03C60 Model-theoretic algebra [See also 03C62 Models of arithmetic and set theory [See also 03C64 Model theory of ordered structures; o-minimality 03C65 Models of other mathematical theories 03C68 Other classical first-order model theory 03C70 Logic on admissible sets 03C75 Other infinitary logic 03C80 Logic with extra quantifiers and operators [See also 03C85 Second- and higher-order model theory 03C90 Nonclassical models (Boolean-valued, sheaf, etc.)

5. ScienceDirect - Journal Of Computer And System Sciences : Proof Theory Of Higher
A model theory specifically for higherorder equations and a theory of However, conservativity may not hold for second, or higher-order equations.
Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Journal of Computer and System Sciences
Volume 67, Issue 1
, August 2003, Pages 127-173
Full Text + Links PDF (392 K) Related Articles in ScienceDirect Mutual information aspects of scale space images
Pattern Recognition

Mutual information aspects of scale space images
Pattern Recognition Volume 37, Issue 12 December 2004 Pages 2361-2373
A. Kuijper
In image registration, mutual information is a well-performing measure based on principles of uncertainty. Similarly, in image analysis the Gaussian scale space, based on minimal assumptions of the image, is used to derive intrinsic properties of an image. This paper starts an investigation of a combination of both methods. This combination results in a double parameterized mutual information measure using local information of the image. For single modality matching best response is found for coinciding parameters. Then critical values are found for which the parameterized mutual information has extrema. First results on multi-modality matching show that different parameter values instead of coinciding values yield the best response for the parameterized mutual information.
Full Text + Links PDF (670 K) A CP asymmetry in with tau polarization ...
Physics Letters B
A CP asymmetry in with tau polarization

6. HeiDOK
03C85 Second and higher-order model theory ( 0 Dok. ) 03C90 Nonclassical models (Boolean-valued, sheaf, etc.) ( 0 Dok. ) 03C95 Abstract model theory ( 0

7. Finite Model Theory Schedule
A. Introduction to finite models Firstorder logic, Second-order logic laws for higher-order logics Monadic Second-order logic Finite variable logics
DIMACS Summer School on Applied Logic
Tutorial on Finite Model Theory
Tentative Schedule and Syllabus
Daily Schedule and Timetable, Monday through Friday
Track A: Expressive Power of Logics (Kolaitis)
10:30-11:00 Coffee Break
Track B: Descriptive Complexity (Immerman)
12:30 - 2:30 Lunch Break
Track C: Random Finite Models (Lynch)
4:00 - 4:30 Coffee Break
4:30- 5:30 "Office hours" and free discussion
  • Monday, August 14
  • A. Introduction to finite models: First-order logic, Second-order logic Monadic existential second-order logic (monadic NP) Ehrenfeucht-Fraisse games for first-order and second-order logic B. Introduction to descriptive complexity: Complexity classes and complete problems FO is contained in LOGSPACE Fagin's theorem: "NP = Existential Second-Order Logic" C. Introduction to random models: Measures of size: cardinality and probability Countable structures and first-order logic: back-and-forth game Gaifman's 0-1 law Finite relational structures and first-order logic: 0-1 law of Fagin and Glebskii et al.
  • Tuesday, August 15
  • 8. The {alpha} And The {omega} Of Congeneric Test Theory: An Extension Of Reliabili
    higherorder tests are tests in which items measure first-order attributes, first-order attributes reflect Second-order attributes, and so on.
    SAGE Website Help Contact Us Home ... Sign In to gain access to subscriptions and/or personal tools.
    Applied Psychological Measurement
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    What's this?
    Applied Psychological Measurement, Vol. 29, No. 1, 65-81 (2005)
    DOI: 10.1177/0146621604270882
    The and the of Congeneric Test Theory: An Extension of Reliability and Internal Consistency to Heterogeneous Tests
    Joseph F. Lucke University of Texas Health Science Center at San Antonio Psychometric theory focuses primarily on tests that are homogeneous

    Type theory is also known as higherorder logic, since it incorporates not This is a second course in model theory. The main topic of discussion will be

    10. Type Theory And Higher Order Logic? - Object Mix
    produce a proof in second (or higher) order settings we are faced with particular, why should it annoy us that there is a countable model of set theory?

    11. Statistical Part-based Models: Theory And Applications In Image Similarity, Obje
    Second, we extend the ARG model and traditional Random Graph to a new model called Third, we explore a higherorder relational model and efficient
    HOME DISSERTATIONS home search ... Columbia University Statistical part-based models: Theory and applications in image similarity, object detection and region labeling
    Dongqing Zhang,
    Faculty Advisor: Shih-Fu Chang
    Date: 2006
    See more information
    Click here if you are not affiliated with Columbia University. Download the dissertation (PDF Format) Click here if you are a Columbia affiliate. Tell a colleague about this dissertation. Printing Tips Select "print as image" in the Acrobat print dialog if you have trouble printing. Abstract
    The automatic analysis and indexing of visual content in unconstrained domain are important and challenging problems for a variety of multimedia applications. Much of the prior research work deals with the problems by modeling images and videos as feature vectors, such as global histogram or block-based representation. Despite substantial research efforts on analysis and indexing algorithms based on this representation, their performance remains unsatisfactory. This dissertation attempts to explore the problem from a different perspective through a part-based representation, where images and videos are represented as a collection of parts with their appearance and relational features. Such representation is partly motivated by the human vision research showing that the human vision system adopts similar mechanism to perceive images. Although part-based representation has been investigated for decades, most of the prior work has been focused on

    12. Second-order Predicate Calculus, Or Second-order Logic -- Britannica Online Enc
    There are also studies, such as Secondorder logic and infinitary logics, that develop the model theory of nonelementary logic. Second-order logic contains,
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    second-order predicate calculus, or second-order logic
    A selection of articles discussing this topic.
    formal logic
    ...of higher order can be formed, however, in which quantifiers may contain other variables as well, hence binding all free occurrences of these that lie within their scope. In particular, in the second-order predicate calculus, quantification is permitted over both individual and predicate variables; hence wffs such as ( f x f x can be formed. This last...
    historical development
    model theory
    There are also studies, such as second-order logic and infinitary logics, that develop the model theory of nonelementary logic. Second-order logic contains, in addition to variables that range over individual objects, a second kind of variable ranging over sets of objects so that the model of a second-order sentence or theory also involves, beyond the basic domain, a larger set (called its... No results were returned.

    13. Oxford Scholarship Online: The Oxford Handbook Of Philosophy Of Mathematics And
    Logical Consequence, Proof theory, and model theory higherorder Logic. You have access to the abstract and full text for this item.
    • About OSO What's New Subscriber Services Help ... Philosophy Subject: Philosophy Book Title: The Oxford Handbook of Philosophy of Mathematics and Logic The Oxford Handbook of Philosophy of Mathematics and Logic Shapiro, Stewart (Editor), Professor of Philosophy, Ohio State University Print publication date: 2005
      Published to Oxford Scholarship Online: July 2005
      Print ISBN-13: 978-0-19-514877-0
      doi:10.1093/0195148770.001.0001 Abstract:
      Keywords: mathematics logic Immanuel Kant empiricism ... higher-order logic
      Table of Contents Preface Wittgenstein on Philosophy of Logic and Mathematics THE LOGICISM OF FREGE, DEDEKIND, AND RUSSELL Logicism in the Twenty-first Century Logicism Reconsidered Formalism Intuitionism and Philosophy Intuitionism in Mathematics Intuitionism Reconsidered Quine and the Web of Belief Three Forms of Naturalism Naturalism Reconsidered Nominalism Nominalism Reconsidered Structuralism Structuralism Reconsidered Predicativity Logical Consequence, Proof Theory, and Model Theory Relevance in Reasoning No Requirement of Relevance Higher-order Logic Higher-order Logic Reconsidered Index doi: Quick Search Form Quick Search search entire site
      search this title only Advanced Search Bibliography Search Contents
      Full Book Contents
      Preface Wittgenstein on Philosophy of Logic and Mathematics THE LOGICISM OF FREGE, DEDEKIND, AND RUSSELL

    14. EMail Msg <>
    This can t happen in true second (or higher-) order logic. and the vast amount of research in first-order model theory, described for example in
    To:, interlingua@ISI.EDU,,,,,,,,,,,,,,, Subject: Re: International STANDARD FOR LOGIC: CSMF/CG/KIF Cc: Sender: Precedence: bulk

    15. Higher-order Logic - Wikipedia, The Free Encyclopedia
    higherorder logics are more expressive, but their properties, in particular with respect to model theory, make them less well-behaved for many applications
    var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia";
    Higher-order logic
    From Wikipedia, the free encyclopedia
    Jump to: navigation search In mathematics higher-order logic is distinguished from first-order logic in a number of ways. One of these is the type of variables appearing in quantifications ; in first-order logic, roughly speaking, it is forbidden to quantify over predicates . See second-order logic for systems in which this is permitted. Another way in which higher-order logic differs from first-order logic is in the constructions allowed in the underlying type theory . A higher-order predicate is a predicate that takes one or more other predicates as arguments. In general, a higher-order predicate of order n takes one or more ( n − 1)th-order predicates as arguments, where n higher-order functions. Higher-order logics are more expressive, but their properties, in particular with respect to model theory , make them less well-behaved for many applications. By a result of G¶del , classical higher-order logic does not admit a ( recursively axiomatized ) sound and complete proof calculus ; however, such a proof calculus does exist which is sound and complete with respect to

    16. IngentaConnect First- And Higher-order Models Of Attitudes, Normative Influence,
    The higherorder models could therefore not be rejected on the grounds of inferior fit or parsimony. First- and Second-order structural equation models

    17. Research Interests Of Staff - MIMS
    Mike Prest Modules, representations of algebras, model theory, First, second and higher order stability. Applied to Solar Prominences, other coronal
    You are here: MIMS research MIMS RESEARCH pure mathematics applied mathematics mathematical logic RELATED PAGES seminar series EPrints visitors SCHOOL OF MATHEMATICS ... undergraduate area CONTACT DETAILS
    The University of Manchester
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    tel: +44 (0)161 306 3641
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    Research Interests of Staff
    A-Z Index: A - C D - F G - J K - N ...
    • David Abrahams Diffraction and propagation of acoustic, elastic, electromagnetic and water waves; mathematical methods including asymptotic techniques, homogenisation methods, complex variable theory and systems of equations of Wiener-Hopf type; other areas include fracture mechanics, geophysical flows and mathematical finance. Peter Aczel Mathematical Tools for the Semantics of natural and formal languages, Philosophy and Foundations of Mathematics and Computing, Mathematical Models of Concurrent Processes. Christopher Baker Analysis, Numerical Analysis, Modelling (particularly in bio-mathematics), Volterra integral and integro-differential equations, Deterministic and Stochastic retarded and neutral differential equations. Alexandre Borovik Group theory in its various aspects, combinatorics, model theory. Non-deterministic and probabilistic methods in discrete mathematics; genetic algorithms. Cryptology.

    18. InformIT: Lessons In Estimation Theory For Signal Processing, Communications, An
    Lessons B and C are on higherorder statistics. These three lessons are on parameter estimation topics. Lesson D is a review of state-variable models.

    19. Higher Order Logic And Nonstandard Models
    Encyclopedia of Artificial Intelligence Second Edition There are many ways to interpret higherorder logic and category theory provides one of the
    A short article for the Encyclopedia of Artificial Intelligence : Second Edition by Dale Miller, February 1991
    While first-order logic has syntactic categories for individuals, functions, and predicates, only quantification over individuals is permitted. Many concepts when translated into logic are, however, naturally expressed using quantifiers over functions and predicates. Leibniz's principle of equality, for example, states that two objects are to be taken as equal if they share the same properties; that is, a b P P a P b )]. Of course, first-order logic is very strong and it is possible to encode such a statement into it. For example, let app be a first-order predicate symbol of arity two that is used to stand for the application of a predicate to an individual. Semantically, app P x ) would mean P satisfies x or that the extension of the predicate P contains x P app P a app P b )] (appropriate axioms for describing app app . Higher-order logics arise from not doing this kind of encoding: instead, more immediate and natural representation of higher-order quantification are considered. Indeed naturalness of higher-order quantification is part of the reason why higher-order logics were initially considered by Frege and Russell as a foundation for mathematics.

    20. Second Order Optimality For Estimators In Time Series Regression Models
    Econometric theory. v19. 9841007. 13 Toyooka, Y., Second-order risk 18 Xiao, Z. and Phillips, P.C.B., Higher order approximations for Wald

    21. 20th WCP: The Model Theory Of Dedekind Algebras
    Attention is restricted here to the model theory of the second order theories of .. Ajtai, M. 1979 Isomorphism and Higher Order Equivalence Annals of
    Logic and Philosophy of Logic The Model Theory Of Dedekind Algebras George Weaver
    Bryn Mawr College
    ABSTRACT: 1. INTRODUCTION One of the more striking accomplishments of foundational studies prior to 1930 was the characterization of various mathematical systems uniquely up to isomorphism (see Corcoran [1980]). Among the first systems to receive such a characterization is the sequence of the positive integers. Both Dedekind and Peano provided characterizations of this system in the late 1880's. Dedekind's characterization commenced by considering B, a non-empty set, and h, a "similar transformation" on B (i.e. an injective unary function on B). In deference to Dedekind, the ordered pair B = (B,h) is called a Dedekind algebra . While the study of Dedekind algebras can naturally be viewed as a continuation of Dedekind's work, the focus here is different. Rather than investigating whether a particular Dedekind algebra (the sequence of the positive integers) is characterizable, we proceed by investigating conditions on Dedekind algebras which imply that they are characterizable. In the following we review some of the results obtained in the model theory of Dedekind algebras and discuss some of their consequences. These results are stated without proofs. Weaver [1997a] and [1997b] provide the details of these proofs. Attention is restricted here to the model theory of the second order theories of Dedekind algebras. Weaver [1998] focuses on the model theory of the first order theories of these algebras.

    22. Theory | Lambda The Ultimate
    Although higherorder unification is undecidable (even if free variables are only Second-order), higher-order matching was conjectured to be decidable by
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    A Dialogue on Infinity
    A Dialogue on Infinity, between a mathematician and a philosopher . Alexandre Borovik and David Corfield. A new blog... From the first post: The project concentrates on one of the principal purposes of the Exploring the Infinite Program: To understand the nature of and the role played by conceptualizations of infinity in mathematics. It will be shaped as a dialogue between a mathematician (AB) and a philosopher (DC) and will address one of the central paradoxes of mathematics: why are most uses of infinity in mathematics restricted to the recycling of a small number of “canonical” and ubiquitous structures? ...To put the study of infinity on a firm basis, we first have to discuss the issue of the identity and “sameness” of mathematical objects: infinity of what? This is pretty far out for LtU, but I suspect it will interest some more philosophically inclined readers. They will look at a number of disciplines

    23. History Of The Nuclear Physics Laboratory – Department Of Physics & Astrono
    The pairingplus-quadrupole model PPQ (ref. 11) and the boson expansion theory BET (ref. 10) seem to provide the best overall fit to the data.
    Dr. Saladin's Research
    Coulomb Excitation Experiments
    Figure E.1
    Spectrum resulting from the scattering of 48MeV O ions from a Dy target. In 1966 pioneering work was started at NPL to develop a new and much more accurate method to measure excitation probabilities as a function of the scattering angle and the charge of the projectile. It was based on high energy-resolution heavy-ion spectroscopy using the world's first large solid-angle high-resolution Enge split-pole spectrometer in combination with position sensitive Si detectors. This allowed for a very precise determination of the ratio of the number of in-elastically scattered projectiles to the number of elastically scattered projectiles as a function of the scattering angle and type of projectile. Heavy ion beams are especially well suited for Coulex experiments since the excitation probabilities increase rapidly with projectile charge, resulting in high order excitation effects. Figure E.1 shows the spectrum resulting from the scattering of 48 MeV O ions from a Dy target. It illustrates that the excitation probability for exciting the first 2

    24. Temporal Difference Models Describe Higher-order Learning In Humans : Article :
    3) offers powerful support for the temporal difference model, in particular because this is a Secondorder paradigm. Other dynamic models of pavlovian
    Login Search This journal All of Advanced search
    To read this story in full you will need to login or make a payment (see right). Journal home Archive Letters to Nature Full Text
    Letters to Nature
    Nature doi ; Received 2 December 2003; Accepted 19 April 2004

    25. Category Browsing Results
    INTRODUCTION TO INFORMATION theory and DATA COMPRESSION, 2ND ED for higherorder Encoding higher-order Arithmetic Coding Statistical Models, Statistics, CONTRO

    26. Cookies Required
    The present higherorder zig-zag theory should work as an efficient tool to To model the multiple delaminations, the assumed displacement field is

    27. BCTCS 11
    M Hennessy (Sussex) higherorder Processes and their models while for the second we develop a denotational model using higher-order Acceptance Trees.

    The 11th British Colloquium for
    Theoretical Computer Science
    2nd - 5th April 1995, University of Wales Swansea, UK
    Report on the Conference
    Sponsor: Engineering and Physical Sciences Research Council Local Organisers: Chris Tofts, Iain Stewart, Karen Stephenson and Savita Chauhan. The 11th meeting of the British Colloquium for Theoretical Computer Science was held at the University of Wales Swansea at the beginning of April 1995. The next meeting (BCTCS12) is being organised by Simon Thompson at the University of Kent at Canterbury.
    by J Stell, Keele University As appeared in the Bulletin of the EATCS , Number 56, pp222-231, February 1996. This was the eleventh annual meeting of the British Colloquium for Theoretical Computer Science, and the first time it had been held in Wales. The meeting was held at Clyne Castle, a nineteenth century house now owned by the University of Wales, Swansea. This provided an ideal location for the conference; besides the academic presentations the participants could enjoy the nearby park, originally the grounds of the house, with its remarkable collection of mature trees and interesting plants, as well as views over Swansea Bay. There were about 80 participants in total coming from all parts of the British Isles as well as visitors from continental Europe and those based as far afield as Brazil, Canada, and South Africa.

    28. Book Mechanics Of Laminated Composite Plates Shells : Theory Analysis, (2nd Ed.)
    New in the Second Edition A new chapter dedicated to the theory and analysis of Plates and Shells Introduction A ThirdOrder Plate theory higher-order
    Search on All Book CD-Rom eBook Software The french leading professional bookseller Description
    Author(s) : REDDY J.N.
    Publication date : 11-2003
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    • Mathematics and physics Applied maths and statistics Applied maths
    • Mechanical engineering and construction Machinery components, machinery construction
    • Chemistry - chemical industry Polymers industry Compounds ( preparation, moulding - processing)
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    Whole of his theory is based on the fundamental ideas from the higher the geometrical model of a higher order Finsler space and a theory of subspaces.

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    Fractal Dimensions and Dynamical Systems
    Xenofon S. Motsenigos, University of Warwick, Coventry, UK

    February 2001, ISBN 1-57485-052-0, pp. 115, hardcover, US$65
    One of the problems of interest in Dynamical Systems is the determination of the asymptotic behaviour of orbits. Often, we are required to find ways to describe various complicated sets (like attractors or basins of attraction for example) that are strongly related to this asymptotic behaviour problem. The aim of this book is to introduce fractal dimensions (Box-counting and Hausdorff dimensions in particular) as a tool which aids in the description and understanding of these complicated sets and, therefore, of the related dynamics.
    Hyers-Ulam-Rassias Stability of Functional Equations in
    Mathematical Analysis
    SOON-MO JUNG, College of Science and Technology, Hong-Ik University, Korea

    30. Massey University
    Semantic classifications of computable queries, Foundations of Databases and Information Systems, Complexity theory, Finite model theory.

    31. AARNEWS - December 2002
    The 16th International Conference on Theorem Proving in Higher Order Logics (TPHOLs) will and logicians and philosphers with a focus on model theory.
    Contents From the AAR President
    Results of the CADE Trustee Elections 2002

    Call for Papers for Conferences
  • CADE-19 ...
    Book Announcement

    Call for Papers for Special Journal Issues
  • Logic, Mathematics and Computer Science: Interactions
  • Modalities in Constructive Logics and Type Theories
  • Automated Reasoning and Theorem Proving in Education Open Position - Research Fellow
    From the AAR President, Larry Wos...
    I encourage the newly elected CADE trustees to work hard at promoting automated reasoning; in particular, I hope that they will encourage their colleagues to use the AAR Newsletter as a forum for discussion about our field and as a mechanism for presenting challenging problems and open questions.
    Results of the CADE Trustee Elections 2002
    Maria Paola Bonacina
    (Secretary of AAR and CADE)
    E-mail: An election was held from 19 September through 6 October 2002 to fill three positions on the board of trustees of CADE Inc. Two positions were left vacant by Harald Ganzinger and David Plaisted, whose terms expired, and a third one was created to complete the implementation of the amendment approved in the summer of 2000 to increase the number of trustees from nine to twelve (see AAR Newsletter No. 48, August 2000). Harald Ganzinger, Jean Goubault-Larrecq, Reinhold Letz, Andrei Voronkov and Toby Walsh were nominated for these positions (see
  • 32. Volterra Theory
    Central in the use of Volterra theory based reduced order aerodynamic model is the identification of Volterra kernels. The truncated Secondorder Volterra Theory.htm
    Volterra Series and Volterra Kernel Nonlinear Volterra theory was developed in the 1880s by Vito Volterra. The theory quickly received a great deal of attention in the field of electrical engineering, and then later in the biological field, as a powerful approach to the modeling of nonlinear system behavior. Volterra theory is a generalization of the linear convolution integral approach often applied to linear, time-invariant systems. The theory states that any time-invariant, nonlinear system can be modeled as an infinite sum of multidimensional convolution integrals of increasing order. This is represented symbolically by the series of integrals, which is known as the Volterra series. Here, u(t) represents the dynamic system input while y(t) represents the system response. Volterra theory is based on dynamic data, and as such the average values of all input and response data sets are removed. Each of the convolution integrals contains a kernel, either linear ( h ) or nonlinear ( h ,..,h n ), which represents the behavior of the system.

    33. III
    Among these are (a) the exclusion of set theory from the realm of logic, logic has a much nicer model theory than standard Secondorder logic;
    Next: References Up: On How Logic Became Previous: II
    If arguments (or ``urgings'') from Skolem and Gödel did not play a major role in the AFOL development, what did? Of course, there were several causes of the AFOL development. A (most certainly incomplete) list of probable causes will be presented below. What I will do in the remainder of this essay is to add some pieces to the answer to the question of the AFOL development. First I will sketch an account of how the analysis of quantification in the 1920s might have helped cause the AFOL development, and below I will present the (even more tentative) suggestion that there might be a connection between Tarski's model-theoretic analyses of the notions of logical truth and logical consequence (and, quite generally, the emergence of model theory as a mathematical discipline) and the emergence of first-order logic as the de facto standard in logic.
    Because of the paradoxes that had been discovered (e.g. Russell's and other paradoxes) and to some extent because of the intuitionistic challenge, several logicians in the 1920s felt induced to embrace (Hilbertian) finitism. The idea was to secure (the consistency of) classical logic and classical mathematics by ``finitary'', and hence epistemologically innocuous, methods. Even logicians not directly belonging to Hilbert's school, like Thoralf Skolem, were clearly influenced by this development. The quantifiers constituted a major obstacle for any finitistic analysis of logic: they brought in the possibly

    34. INSTITUTIONS: Abstract Model Theory For Specification And Programming
    INSTITUTIONS Abstract model theory for Specification and Programming A second main result considers when theory structuring is preserved by institution
    INSTITUTIONS: Abstract Model Theory for Specification and Programming
    Joseph A Goguen and Rod Burstall Abstract: LFCS report ECS-LFCS-90-106 Previous Index Next Unless explicitly stated otherwise all material
    Comments and corrections to: LFCS Webmaster
    Last modified: Friday 5 May 2006

    35. Domain Descriptions > Domain 2: Psychometric Theory & Methods
    theory and Methods. Topics include Mental test theory and methods (including classical truescore model, item response theory models, test construction
    DEPARTMENT OF EDUCATIONAL PSYCHOLOGY Home Curriculum Domain Descriptions
    Domain Descriptions
    Domain 2:
    General Description
    Both the discovery and application of knowledge to help improve the education and quality of life for individuals in our society require precise definitions of important constructs and accurate measurements of the extent to which individuals differ in terms of those constructs. Domain 2 is concerned with the theory and methods used to measure variables that are important in psychological and educational research, practice, and evaluation. Such variables include aptitudes, achievements, attitudes, personality traits and characteristics, and other cognitive and non-cognitive characteristics. Psychologists must be able to develop and use measuring instruments that are appropriate for specified educational and psychological purposes. To be able to do so, they must develop an understanding of measurement principles and knowledge of available measuring instruments and procedures, as well as a good working knowledge of related statistical procedures and methods of experimental design and data analysis. Auxiliary skills that also must be developed include the use of computers and related mathematics (such as statistics and matrix algebra).

    36. Charles Rezk's Papers And Preprints.
    A simplicial model category provides higher order structure such as composable mapping spaces and A model for the homotopy theory of homotopy theory .
    Charles Rezk's papers and preprints.
    Papers and Preprints.
    • "Topological modular forms of level 3" , with M. Mahowald. ( dvi pdf .) Accepted for publication in Pure and Applied Math Quarterly We describe and compute the homotopy of spectra of topological modular forms of level 3. We give some computations related to the "building complex" associated to level 3 structures at the prime 2. Finally, we note the existence of a number of connective models of the spectrum TMF(Gamma
    • "The units of a ring spectrum and a logarithmic cohomology operation" dvi pdf .) This has appeared in Journal of the AMS , v.19 (2006). We construct a "logarithmic" cohomology operation on Morava E-theory, which is a homomorphism defined on the multiplicative group of invertible elements in the ring E (K) of a space K. We obtain a formula for this map in terms of the action of Hecke operators on Morava E-theory. Our formula is closely related to that for an Euler factor of the Hecke L-function of an automorphic form.
    • "Topological resolutions of the K(2)-local sphere" , with P. Goerss, H.-W. Henn, and M. Mahowald. (

    37. Abstract
    Secondorder perturbation derivatives of travel time; 3.3. Optimizing model updates during linearized inversion of travel times. 4. Coupling ray theory for
    Seismic ray method: Recent developments
    Vlastislav Cerveny Ludek Klimes Ivan Psencik
    The seismic ray method has found broad applications in the numerical calculation of seismic wavefields in complex 3-D, isotropic and anisotropic, laterally varying layered structures and in the solution of forward and inverse problems of seismology and seismic exploration for oil. This chapter outlines the basic features of the seismic ray method, and reviews its possibilities and recent extensions. Considerable attention is devoted to ray tracing and dynamic ray tracing of S waves in heterogeneous anisotropic media, to the coupling ray theory for S waves in such media, to the summation of Gaussian beams and packets, and to the selection of models suitable for ray tracing.
    1. Introduction
    2. Seismic ray theories for isotropic and anisotropic media
    2.1. Seismic rays and travel times. Initial-value ray tracing
    2.2. Ray histories, two-point ray tracing, wavefront tracing
    2.2.1. Model and ray histories
    2.2.2. Controlled initial-value ray tracing

    38. Courses Systems Design Engineering
    Development of the state model using graph theory and its solution. method in the solutions of systems of higher order differential equations.
    Undergraduate Calendar 1999-2000
    G.R. Heppler, ext. 5566 Note:
  • The numbering of Systems Design Engineering courses is as follows:
    • If the course is given in the "A" term, the number in the units place is odd; otherwise, it is even.
    • The number in the 10's place refers to the field of the subject matter of the course, according to the following codes:
    • topics in applied mathematics
    • computer systems
    • socio-economic systems
    • human systems
    • physical systems
    • the design of engineering systems
    • communication and information systems
    • engineering sciences
    • laboratories
    • The number in the 100's place generally refers to the year in the program in which the student will encounter the course.
  • The majority of Systems Design courses are given on the basis of 3 formal lectures and 1 tutorial hour each week. The department endeavours to ensure that the formal course schedule remains below 30 hours per week in each term. Beyond this, other, less formally scheduled, meetings between students and faculty are required. It is expected that the average student will spend, in total, between 45 and 55 hours per week on her/his studies.
      SY DE100s
      SY DE 101/102 F,S 1C 0.0
  • 39. Qualification Exam
    D. model theory (Math 736) Propositional and firstorder logic. . Systems of differential equations, stiff problems, higher order differential equations
    Changes made on this page
    • Marat Akhmetov
    • Mehpare Bilhan
    • Bülent Karasözen
    • Murat Yurdakul
    • Hurþit Önsiper
    The Qualifying Exam is given twice every year, in January and September, in five main areas (Algebra, Analysis, Differential Equations, Geometry-Topology and Numerical Analysis). Generally, each student is expected to choose one area. Algebra:
    Must Courses: None
    Elective Courses: 511, 523, 736, Rings and Modules*
    Number of must + elective courses that each student has to select: 0+2 Analysis:
    Must Courses: 570**
    Elective Courses:502**, 558, 566, 571
    Number of must + elective courses that each student has to select: 1+1 Differential Equations:
    Must Course: 584**
    Elective Courses: 580**, 702
    Number of must + elective courses that each student has to select: 1+1
    ODE: Must Course: 588 Elective Courses: 711, 723 Number of must + elective courses that each student has to select: 1+1 Geometry - Topology: Must Course: 537 Elective Courses: 538, 545, 551 Number of must + elective courses that each student has to select: 1+1 Numerical Analysis: Must Courses: 593, 677

    40. Some Higher Order Theory For A Consistent Nonparametric Model Specification Test
    Some Higher Order theory for a Consistent Nonparametric model We provide second order theory for a smoothingbased model specification test.
    This file is part of IDEAS , which uses RePEc data
    Papers Articles Software Books ... Help!
    Some Higher Order Theory for a Consistent Nonparametric Model Specification Test
    Author info Abstract Publisher info Download info ... Statistics Author Info Yanqin Fan (University of Windsor)
    Oliver Linton Cowles Foundation, Yale University
    Additional information is available for the following registered author(s): Abstract
    Download Info To download:
    If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help file . Note that these files are not on the IDEAS site. Please be patient as the files may be large. File URL:
    File Format: application/pdf
    File Function:
    Download Restriction:
    Publisher Info Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1148. Download reference.

    41. JSTOR Model Theory For The Higher Order Predicate Calculus
    model theory FOR HIGHER ORDER PREDICATE CALCULUS 73 to a formula with the . of Y bound by the second quantifier or no occurrence of Y bound by the second<72:MTFTHO>2.0.CO;2-O

    42. Practical Foundations Of Mathematics
    2.8 Higher Order Logic. Wellfoundedness is a second order property because it REMARK 2.8.1 The completeness of first order model theory - the fact that
    Practical Foundations of Mathematics
    Paul Taylor
    Higher Order Logic
    Well-foundedness is a second order property because it is defined by quantifying the induction scheme over all predicates q x ]. In higher order logic, predicates (or, by comprehension, subsets) are first class citizens, allowing quantification over predicates on predicates. First order schemes Before ascending to the second order, let us note first that there is a tradition (with almost a strangle-hold over twentieth century logic [ ]) of reading any quantification over predicates or types as a scheme to be instantiated by each of the formulae which can be defined in the first order part. This has a profound qualitative effect. R EMARK 2.8.1 The completeness of first order model theory - the fact that the syntax and semantics exactly match (Remark ) - has strange corollaries for the cardinality of its models. If a theory has arbitrarily large finite models then it has an infinite one (the compactness theorem ), and in this case there are models of any infinite cardinality (the ). Second order logic has no such property.

    43. Course Information
    The pivotal notion of model theory is the notion of a formula being true in a In the second class (recursive types) there are equations between these
    Master Class 2006/2007 on Logic.
    Course Information
    Below, you find some preliminary descriptions of the courses. This information page is, as yet, still under construction.
    MODEL THEORY (Wim Veldman)
    In mathematics one often studies the class of structures satisfying a given set of formal axioms, for instance the class of groups, the class of fields, or the class of linear orders.
    In Model Theory one starts to study the rather general case that the axioms are formulated in a first-order or elementary language. This means that, when interpreting the formulas of such a language, one only quantifies over the domain of the structure, and not, for instance, over the power set of the domain.
    The pivotal notion of model theory is the notion of a formula being true in a mathematical structure. This notion has been given a formal definition by A. Tarski.
    Axiomatizing a structure is closely related to finding a method to decide which sentences are true in the structure. We shall discuss Tarski's quantifier elimination results. Given a formal theory, what can we say about the class of its countable models? We give a characterization, due to several mathematicians independently, of theories that have exactly one countable model.

    44. Real-time Inverse Transform Additive Synthesis For Additive And
    The second problem is that the noise signals have to be scaled to dose the line . M. M. Goodwin (1997), Adaptive signal models theory, algorithms,

    45. Abstracts: Plenary
    The second classification problem will focus on the classification of low dimensional . connections with the model theory of complex analytic functions.
    "Classification problems in geometry and algebra" Abstract In this talk I shall illustrate, by means of two examples, an on-going program at Utah State University to create Maple software and Java applets for implementing the solution to various classification problems in mathematics. The first classification problem to be discussed is Petrov's remarkable classification of all 4 dimensional local group actions which admit an Lorentz invariant metric. (This is different from Petrov's classification of spacetimes according to the algebraic properties of the Weyl tensor.) Petrov's classification contains over 100 distinct local group ations and associated invariant metrics and thus it is a non-trivial task to identify a given local group action or a given invariant metric in Petrov's list. I shall demonstrate a web-based Java applet which allows one to identify any metric with symmetry in Petrov's list and also to search for group actions or invariant metrics in Petrov's list with prescribed properties. The results of some preliminary efforts to automate the verification of Petrov's classification will be shown. The second classification problem will focus on the classification of low dimensional Lie algebras. There are many such tables of Lie algebras in the literature but once again the problem remains of explicitly identifying a given Lie algebra in these tables, a task which is further complicated by the existence of families of Lie algebras containing arbitrary parameters.

    46. VAR Priors And Economic Theory
    Second, solving for serial correlation in VAR s, as was done in (5.1a), results in higher order autoregressions with nonlinear restrictions.
    VAR Priors : Success or lack of a decent macroeconomic theory ?
    Francisco F. R. Ramos Faculty of Economics, University of Porto, 4200 Porto, Portugal. Phone: +351-(0)2-5509720, Fax: +351-(0)2-5505050 E-mail:
    The purpose of this paper is to demonstrate that the success of the Litterman prior in VAR forecasting is not due to the realism of the prior, but rather because the prior conveniently reduces forecast error variance in common cases of misspecification. Specifically, it is shown that the imposition of a random walk prior reduces forecast error variance in misspecifications involving (1) time-varying coefficients misspecified as constant coefficients, (2) serially correlated residuals misspecified as white noise, and (3) the inclusion of an irrelevant unit root process in the VAR.
    Classification system for journal articles: Key words: BVAR, Forecasting performance, Litterman prior, Misspecification Random-walk prior, VAR. 1. Introduction
    This paper critically examines the proposition that Bayesian priors for VAR foracasting are successful because they are realistic. We contend that their lack of realism, combined with the lack of a decent macroeconomic theory is the reason for the success of the Litterman prior. Through a series of theoretical examples, we demonstrate that classical VAR forecasting leads to high forecast error variance but that the forecast error variance is reduced substantially by the imposition of the Litterman random walk prior. The second section of this paper briefly reviews the Litterman random walk prior. In the third section, we develop three examples, which we argue are typical of actual macroeconomics models, that show how the "unrealistic" random walk prior reduces forecast error variance. The paper closes with a brief summary and conclusion.

    47. Adobe Press - 9781580257107 - Categorical Data Analysis Using The SAS® System
    Section 16.4 demonstrates loglinear modeling for higherorder tables, and Section 16.5 describes the correspondence between logistic models and loglinear
    var s_account = "safaribooksglobal,safaribooksb2c"; You Are Not Logged In • Search Entire Site Book/Video Titles Only Section Titles Code Fragments Only Author ISBN Publisher All Content Current Book Only
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    Table of Contents Categorical Data Analysis Using The SAS® System, 2nd Edition Browse by Category Quick Links... Videos Rough Cuts Short Cuts .NET Java JavaScript Mac/OS X Perl PHP Python Ruby SQL XML Applied Sciences Artificial Intelligence Business Certification ... Software Engineering What is Safari? Safari is an e-reference library where you can search across thousands of books from O'Reilly, Addison-Wesley, Cisco Press, Microsoft Press and more. Read books cover to cover or flip directly to the section you need in seconds. About Safari Terms of Service Contact Us Help ... 508 Compliance
    1249 Eighth Street, Berkeley, CA 94710

    48. Marginal Revolution: Do Exchange Rate Overshooting Models Make Sense?
    Second, the model relies on a Keynesian money demand function. The current best theory is a mix of random walk (but in exchange rates or returns?
    hostName = '';
    Marginal Revolution
    Small steps toward a much better world.
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    Do exchange rate overshooting models make sense?
    Not so much. Here is the overshooting model for those of you who don't know it. So what is the problem? First, most observed exchange rate movements are unexpected ("news"), rather than forecast in earlier forward rates. The overshooting model, at best, explains expected movements in exchange rates. Second, the model relies on a Keynesian money demand function. Specifically, inflation, operating through a portfolio effect, lowers

    49. Catallaxy » The Wit And Wisdom Of Charlie Munger
    General equilibrium theory? Yeah sure thats bollocks in both economics and climate science. “7. Too little attention to second (and higher order) effects.”

    50. Research Of Chemometry Consultancy
    The theory of analytical chemistry also enables one to generalize already accepted methodology to the higherorder domain. Consider, for example, the error

    51. Brazilian Journal Of Physics - The Lee-Yang Theory Of Equilibrium
    For concreteness we shall describe the theory in terms of a simple model system . (first order) or continuous (second or higher order) transition appear.

    52. Venanzio Capretta's Home Page
    First, we construct a model using wellorderings. Second, we use an extension of type theory, implemented in the proof tool Coq, to construct another model
    Venanzio Capretta
    Postdoctoral researcher
    Foundation Group

    Computer Science Institute (iCIS)

    Radboud University Nijmegen

    P.O. Box 9010,
    NL-6500 GL Nijmegen
    The Netherlands
    e-mail: venanzio @
    telephone: +31-24-3652631
    fax: +31-24-3652525
    room: 02.528 We know nothing, not even whether we know or do not know, or what it is to know or not to know, or in general whether anything exists or not. Metrodorus of Chios
    Work in progress
    These are some articles that I and some coauthors are working on. Click on the title to get the PDF file (they are also available in PostScript format). An Introduction to CoRecursive Algebras with Tarmo Uustalu and Varmo Vene The Foundations Group / Brouwer Institute Seminar, Nijmegen, Tuesday 4 December 2007. Higher Order Abstract Syntax in Type Theory Coq formalization and example application A polymorphic representation of induction-recursion Also in PostScript format
    Combining de Bruijn Indices and Higher-Order Abstract Syntax in Coq abstract
    Coauthor: Amy Felty to appear in Proceedings of TYPES 2006 bibtex entry
    Recursive Coalgebras from Comonads (long version) ( abstract
    Coauthors: Tarmo Uustalu and Varmo Vene Information and Computation , volume 204, issue 4 (2006), pages 437-468. (

    53. Finite Difference Models: Theory
    For diffusion in two dimensions Fick s second law becomes . End of information on theory of Finite Difference Models with Applications in Diffusion.
    Theory of Finite Difference Models
    with Applications in Diffusion.
    Objective: Learn about the theory of finite difference as it applies to diffusion. Because finite difference numerical techniques are inherently unstable a basic knowledge of finite difference theory is required to obtain stable solutions. by Mukund Patel (resume) . Modified by R.D. Kriz (5/14/95) and (5/16/04).
    During the course of study in materials science engineering, the student is exposed to the topic of diffusion a number of times. These discussions usually lead to the derivation of the flux equation: or Fick's first law, for steady state diffusion, and for nonsteady state diffusion, Fick's second law is derived: These discussions are not a very accurate depiction of diffusion, because they are useful only if diffusion occurrs in one dimension. In real life applications, diffusion occurs in all three dimensions. For diffusion in two dimensions Fick's second law becomes where this equation considers the change in concentration, C, with time, t, in both the x and the y directions. The goal of this section is to explain the mathematics involved in solving the two dimensional diffusion problem. In this section we only provide a brief introduction to analytic models of diffusion, if you are not already familiar with the theory of diffusion the reader is encouraged to first go to the section on analytic models for diffusion The two dimensional diffusion equation is a nonhomogeneous form of the Laplace equation for nonsteady state conditions. To solve this problem, the Crank-Nicolson Method is used [1]. This method is always second order accurate for both a change in t and x: here a change in t and x will be refered to as delta-t and delta-x respectively. With a second order accurate soluion we can take larger time steps, Ref. [2]. Using this method and performing a Taylor's series expansion with respect to a change in time, delta-t, equation (3) becomes:

    54. Arab American University >>> Mission ...
    Classification of differential equations, first order differential equations, second and higher order linear differential equations, differential operator,
    Home Faculties Course Description
    Course Description 01091101 Calculus I (3 Cr. hrs.)
    Preliminaries, functions, inverse functions, limits, continuity, derivatives, application of derivatives, indeterminate forms, definite integrals and the fundamental theorem of Calculus. 01091102 Calculus II (3 Cr. hrs.)

    55. HOG
    The second goal is the development of a framework within Higher Order Grammar a formally explicit theory of hyperintensions2, mathematical models of
    What is HOG?
    Key features:
    • There is a propositional logic of types , which denote sets of linguistic (phonological, syntactic, or semantic) entities. For example, the type NP denotes the syntactic category (or form class) of noun phrases.
    • HOG maintains Curry's distinction between tectogrammatical structure (abstract syntax) and phenogramatical structure (concrete syntax).
    • Abstract syntactic entities are identified with structuralist (Bloomfield-Hockett) free forms (words and phrases). For example, the NP your cat is an NP, distinct from its phonology or its semantics.
    • Concrete syntax is identified with phonology, broadly construed to include word order.
    • The modelling of Fregean senses is broadly similar to Montague's, but with intensions replaced by finer-grained hyperintensions
    • There is a (Curry-Howard) proof term calculus , whose terms denote linguistic (phonological, syntactic, or semantic) entities.
    • The term calculus is embedded in a classical higher-order logic (HOL).
    • The syntax-phonology and syntax-semantics interfaces are expressed as axiomatic theories in the HOL.

    56. Cellular Automaton Fluids: Basic Theory (1986)
    In this case, the momentum flux tensor (2.4.9) is equal to the pressure tensor, given, as in the standard kinetic theory of gases, by. where the second

    Publications by Stephen Wolfram
    Articles Cellular Automata Cellular Automaton Fluids: Basic Theory (1986) Cellular Automaton Fluids: Basic Theory (1986)
    2. Macroscopic Equations for a Sample Model
    2.1. Structure of the Model
    The model is based on a regular two-dimensional lattice of hexagonal cells, as illustrated in Fig. 1. The site at the center of each cell is connected to its six neighbors by links corresponding to the unit vectors through given by At each time step, zero or one particles lie on each directed link. Assuming unit time steps and unit particle masses, the velocity and momentum of each particle is given simply by its link vector . In this model, therefore, all particles have equal kinetic energy, and have zero potential energy. The configuration of particles evolves in a sequence of discrete time steps. At each step, every particle first moves by a displacement equal to its velocity . Then the particles on the six links at each site are rearranged according to a definite set of rules. The rules are chosen to conserve the number and total momentum of the particles. In a typical case, pairs of particles meeting head on might scatter through , as would triples of particles apart. The rules may also rearrange other configurations, such as triples of particles meeting asymmetrically. Such features are important in determining parameters such as viscosity, but do not affect the form of the macroscopic equations derived in this section.

    57. Atlas: 2nd Croatian Mathematical Congress - List Of Speakers
    Thomas Benesch The Baum WelchAlgorithm for Parameter Estimation of Gaussian Autoregressive Mixture Models Ivo Beroš Collocation by Higher Order Tension
    Atlas home Conferences Abstracts about Atlas 2nd Croatian Mathematical Congress
    June 15-17, 2000
    Croatian Mathematical Society and Dept. of Math., Univ. of Zagreb
    Zagreb, Croatia Organizers
    Hrvoje Sikic (president), Pavle Pandzic (secretary) Conference Homepage
    This is an archive of abstracts accepted to this conference. For more listing and sorting options, see the active list. Drazen Adamovic Representations of affine Lie algebras having infinite dimensional weight spaces
    Damir Bakic
    Extensions of Hilbert C -modules
    Neven Balenovic
    Young and H-measures for relaxation of multy-well energies
    Jelena Beban-Brkic
    Isometric Invariants of Conics in Isotropic Plane. Classification of Conics.
    Thomas Benesch
    The Baum Welch-Algorithm for Parameter Estimation of Gaussian Autoregressive Mixture Models
    Collocation by Higher Order Tension Splines
    Stochastically stable one-step approximations of solutions of stochastic ordinary differential equations Projections of inefficient DMU to efficient frontier Nela Bosner On efficient solution of linear systems in implicit discretization of the shallow water equation Ilko Brnetic Some mappings associated with Hadamard's inequalities for convex functions On a characterisation of Hilbert C -modules Ilie Burdujan On Clifford manifolds of type Cl Suncica Canic Nonlinear Conservation Laws Morphisms and quasinorms over free semigroups On properties of rectangular hyperbolas Proper shape theory for C -algebras On inequalities of Levin type for multidimensional balls Dean Crnkovic A Distributional Identity for Exchangeable Random Walks

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