121. Katia Consani's Home Page University of Toronto. arithmetic geometry, number theory, noncommutative geometry. http://www.math.toronto.edu/kc/

Katia Consani Associate Professor Mailing Address Department of Mathematics University of Toronto (SS 4046) 100 St. George Street Toronto, ON M5S-3G3, CANADA How to reach me Office : Sidney Smith Hall 4046 Phone Fax E-mail kc@math.toronto.edu Links UofT Math Department home page Research Research area Arithmetic geometry, Number Theory My curriculum vitae Papers My publications and preprints 2nd Workshop on Non-Commutative Geometry and Number-Theory at MPIM-Bonn: June 14-18, 2004. Organizers: A. Connes, Y. Manin, M. Marcolli, K. Consani. Announcement on the web-page at MPIM-Bonn 1st Workshop on Non-Commutative Geometry and Number-Theory at MPIM-Bonn: August 18-22, 2003. Organizers: Y. Manin, M. Marcolli, K. Consani. Schedule (updated 08/15/03); Photos of the speakers (please don't blame the photographer!) Teaching Winter/Spring terms 2003-04 Calculus! Spring term 2004 Introduction to sheaves and schemes Number Theory/Representation Theory Seminar Spring term 2004 List of speakers and titles Colloquium schedule Schedule for the academic year 2003-04 List of speakers and titles Statements A philosophical scene-assertion from the movie `Young Frankenstein' by Mel Brooks Grothendieck's related web-sites The Grothendieck-circle Grothendieck Biography Project The Bourbakistas

122. Henri LIFCHITZ's HomePage Research in number theory, prime numbers and parity of arithmetic functions. Includes primality testing theorems and prime number chains. In English and French. http://ourworld.compuserve.com/homepages/hlifchitz/

123. SoftFloat John Hauser SoftFloat. SoftFloat is a free, highquality software implementation of the IEC/IEEE Standard for Binary Floating-point arithmetic. http://www.jhauser.us/arithmetic/SoftFloat.html

SoftFloat SoftFloat is a free, high-quality software implementation of the IEC/IEEE Standard for Binary Floating-point Arithmetic. (IEC is the International Electrotechnical Commission , an international standards body.) SoftFloat is completely faithful to the IEEE Standard, while at the same time being relatively fast. All functions dictated by the standard are supported except for conversions to and from decimal. SoftFloat fully implements the four most common floating-point formats: single precision (32 bits) , double precision (64 bits) , extended double precision (80 bits) , and quadruple precision (128 bits) . All required rounding modes, exception flags, and special values are supported. SoftFloat is distributed in the form of ISO/ANSI C source code and should be compilable with almost any ISO-compliant C compiler. Old-style compilers are not supported. Using the GNU C Compiler ( gcc ), the package has been compiled and tested for several platforms. Target-specific code is provided for 386 and SPARC processors. Other machines can be targeted using these two as examples. SoftFloat's code for the extended double-precision and quadruple-precision formats depends on the existence of a 64-bit integer type in C . If the C compiler used to compile SoftFloat does not support 64-bit integers, SoftFloat will be limited to single and double precisions only.

124. Langdon - Faculty - People - Baskin School Of Engineering, UCSC arithmetic coding. Professor of Computer Engineering at UCSC. http://www.cse.ucsc.edu/personnel/faculty/langdon.html

Home People Faculty Langdon Baskin SOE Faculty GLENN G. LANGDON, Jr. Professor of Computer Engineering Education: B.S., Electrical Engineering, Washington State University M.S., Electrical Engineering, University of Pittsburgh Ph.D., Electrical Engineering, Syracuse University Glen Langdon was formerly employed by IBM. His research interests include data compression and image coding. He is the coauthor of many arithmetic coding techniques for compression. General info News Events Degree Programs ... UCSC

125. The Arithmetic, Geometry And Topology Of Algebraic Cycles Morelia, Mexico; 15 June 7 July 2003. http://www.matem.unam.mx/cycles/

126. The Java Community Process(SM) Program - JSRs Java Specification JSRs Java Specification Requests. JSR 13 Decimal arithmetic Enhancement. The proposed enhancements to the BigDecimal class primarily http://www.jcp.org/jsr/detail/13.jsp

127. Ronald Van Luijk University of California Berkeley. Algebraic geometry, algebraic number theory, arithmetic geometry and related topics. Catalogue of algebraic surfaces. http://math.berkeley.edu/~rmluijk/

Graduate Students Mathematics UC Berkeley University of California Ronald van Luijk 853 Evans Hall Office Hours: Department Fax: E-Mail: rmluijk (at) math.berkeley.edu Department of Mathematics 3840 970 Evans Hall University of California Berkeley, CA 94720-3840 USA Research I am a 4th year PhD student, interested in Algebraic Geometry, Algebraic Number Theory, Arithmetic Geometry and related topics. My advisor is Hendrik Lenstra . I graduated at the University of Utrecht in 2000 under the supervision of Frits Beukers and Ben Moonen . My thesis was about Perfect Cuboids Catalogue of Surfaces I intend to start a catalogue of algebraic surfaces , that are of interest to number theorists because of their rational points. The catalogue will include references, so that if "new" surfaces pop up, they can be compared with other surfaces, that have already been analysed. As for now, the catalogue doesn't contain many surfaces yet. Please e-mail me about any surfaces you've encountered and/or worked on, that might be of interest. Teaching Math 1B (Calculus), spring 2001

128. Free Arithmetic - OnlineCollegePrep.com Total Quality Instruction. Free arithmetic. This Online Course offers complete instruction on any/all arithmetic topics. You will http://www.onlinecollegeprep.com/FreeArithmetic/

Total Quality Instruction Free Arithmetic This Online Course offers complete instruction on any/all arithmetic topics. You will be shown every concept in detail, have continuous opportunities to test your understanding, and participate in activities that identify topics that should be studied. This self-paced course is designed for teenagers/adults and the material is aimed at that level of maturity even though the concepts are completely taught. Using the Table of Contents you can quickly locate any topic that needs to be studied/learned, move to that location, and receive the help wanted. If the titles of the topics are insufficient to identify your area of need, the sample tests will help you locate any particular problem you want to attack. If you are ready for an exciting, successful online learning experience, click the button and we'll go to it. Email: bhackworth@onlinecollegeprep.com For More Information

129. S&S SOFTWARE, EDUCATIONAL SOFTWARE FOR CHILDREN AND ADULTS Math software, free arithmetic worksheets and fact pages. http://www.sssoftware.com

Shortcuts to: Home Products Documentation Free Demos ... E-Mail Support Look at the descriptions of our educational software products Download free software demos for Macintosh and Windows. View free online documentation for our programs before you buy them. Print free arithmetic worksheets for home and school use. Print free arithmetic fact pages for home and school use. View state standards to relate our Math Skill Builders skill levels to grade levels. Order products online or by mail, phone or fax. Register your free demo to unlock the commercial version. View our awards and other testimonials. Contact us with any questions and for technical support Home of the original Math Skill Builders series: Math Skill Builders: Whole Number Arithmetic Math Skill Builders: Count Money Math Skill Builders: Make Change Math Skill Builders: Talking Arithmetic Tutor Math Skill Builders: Whole Number Worksheet Generator Math Skill Builders: Decimal Worksheet Generator Math Skill Builders: Fraction Worksheet Generator Math Skill Builders: Worksheet Generator Bundle Last Updated on December 3, 2003 by Chuck at SSSoftware.com

130. Interactive Arithmetic Directions http://www.onlinecollegeprep.com/InteractiveArith/AIntro/ADirFull.html

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131. Kai's Home Page UC Irvine semantics and proof theory of intuitionistic arithmetic, logical analysis of modal discourse, the logic of Gottlob Frege. http://members.cox.net/wehmeier/

Welcome to my virtual home. I am currently assistant professor (but, I am happy to report, will be associate professor as of 1 July, 2004) in the at UC Irvine where I also maintain a web page (updated less frequently than this one). You may check out my curriculum vitae here For the time being, this site will be used exclusively to list my published and unpublished papers. In some cases, the published version differs substantially from the file posted here. I. Published Papers Notre Dame Journal of Formal Logic Discusses the question whether all nodes in a Kripke model of Heyting Arithmetic must be classical models of Peano Arithmetic. Proves, among other things, that this is always the case if the frame of the Kripke model is ordered like the natural numbers. Archive for Mathematical Logic Investigates certain fragments of Heyting Arithmetic, namely those obtained by restricting the induction schema to (a) Sigma_1 formulae, (b) Pi_1 formulae, and (c) prenex formulae. Proves, among other things, that the theories under (a) and (b) are not (as in the classical case) equivalent, that theory (a) is well-behaved, but theory (b) isn't, and that theory (c) is no stronger proof-theoretically than Heyting Arithmetic with the induction schema restricted to Pi_2 formulae.

132. DESCRIPTION OF CMAT A matrix calculator program, written in C. Calculations can be performed on matrices with complex rational coefficients using exact arithmetic routines, as well as on matrices with elements mod p. http://www.numbertheory.org/cmat/krm_cmat.html

CMAT CMAT is a matrix calculator program, written in C. Calculations can be performed on matrices with complex rational coefficients using exact arithmetic routines, as well as on matrices with elements mod p. There is also a DOS version which runs on 386/486+ machines. The DOS version, together with the C source, can be downloaded People using the UNIX version have to create a .cmatrc file in the working directory, consisting of the two lines datpath=. cmat=. (Also see cmat_bugfix.html for bug reports.) There are three calculator programs within CMAT: CMATR, CMATCR and CMATM. CMATR works over the rationals, CMATCR works the field of complex rationals and CMATM works over the field of p elements, where p is any prime less than 2 The programs use multiple precision arithmetic routines based on those in [ Fla ][342-357,175-185]. (See documentation Up to M0 (=30) objects of each type can be created and stored for use in future sessions. (rational) numbers: R[0],...,R[M0-1]; (rational) matrices: RM[0],...,RM[M0-1]; polynomials (rational): PR[0],...,PR[M0-1];

133. The Theology Of Arithmetic The Theology of arithmetic. The Theology of arithmetic Paperback, 134 pages, ISBN 0933999-72-0, $17.00 Published by Phanes Press. http://www.phanes.com/theari.html

The Theology of Arithmetic On the Mystical, Mathematical, and Cosmological Symbolism of the First Ten Numbers Translated by Robin Waterfield With a Foreword by Keith Critchlow Attributed to Iamblichus (fourth century A.D.), The Theology of Arithmetic is about the mystical, mathematical and cosmological symbolism of the first ten numbers. It is the longest work on number symbolism to survive from the ancient world, and Robin Waterfield's careful translation contains helpful footnotes, an extensive glossary, bibliography, and foreword by Keith Critchlow. Never before translated from the ancient Greek, this important sourcework is indispensable for anyone interested in Pythagorean thought, Neoplatonism, or the symbolism of Numbers. The Theology of Arithmetic Paperback, 134 pages, ISBN 0-933999-72-0, $17.00 Published by Phanes Press How to Order Phanes Press Catalog by Subject Title Author Related Titles The Pythagorean Sourcebook and Library The Manual of Harmonics

134. S M A R T B R A I N - I N D I A | Adv. Chinese Mental Arithmetic Using Abacus & Offers Chinese mental arithmetic courses with abacus for children. http://www.smartbrainindia.com/

Home About Us Resources Business Plan ... Additional training - NLP to Instructors / Students INTERNATIONALLY ACCREDITED PROGRAMME The universal Chinese mental arithmetic system, adopted by Smart Brain is internationally accredited programme and popular in more than 10 countries. We are recognised by two of the the World's leading Mental Arithmetic Associations - Chinese Abacus Utility Research Society and the Taiwan Mental Arithmetic Association, Taiwan. GLOBAL PRESENCE Smart Brain Company Limited is operating in Thailand , Singapore, India, Kuwait, USA WORLDS LATEST-KIDS FRIENDLY SYLLABUS The logical way of memorising formulae in the old syllabus is replaced by easy playful magic words, which pegs the formulae, in the kid's mind, even without its conscious awareness. STRINGENT QUALITY POLICIES COMPETENT, TRAINED, CERTIFIED AND COMMITTED INSTRUCTORS INTERNATIONALLY RECOGNIZED CERTIFICATIONS FOR TEACHERS AND STUDENTS QUALITY ASSESSMENTS THRU NATIONAL / INTERNATIONAL COMPETITIONS ADDITIONAL TRAINING - NLP TO INSTRUCTORS / STUDENTS NLP Mr.Ashok

135. The IEEE Standard For Floating Point Arithmetic The IEEE standard for floating point arithmetic. Reference ANSI/IEEE Standard 7541985, Standard for Binary Floating Point arithmetic. See also http://www.psc.edu/general/software/packages/ieee/ieee.html

136. Logic And Integer Arithmetic This article takes a look at the bytecodes that implement the logical and integer arithmetic capabilities of Java. (4000 words). Logic and integer arithmetic. http://www.javaworld.com/javaworld/jw-11-1996/jw-11-hood.html

Advertisement: Support JavaWorld, click here! November 1996 HOME FEATURED TUTORIALS COLUMNS FORUM ... JAVA BOOK INDEX JavaWorld Services Newsletters Special Offers ProductFinder Education Resources ... White Paper Library Under the Hood Logic and integer arithmetic A look at the bytecodes of the Java virtual machine that perform logical and arithmetic operations Summary All Java programs are compiled into class files that contain bytecodes, the machine language of the Java virtual machine. This article takes a look at the bytecodes that implement the logical and integer arithmetic capabilities of Java. (4,000 words) By Bill Venners Printer-friendly version Mail this to a friend Page 1 of 3 Advertisement elcome to yet another installment of Under The Hood . This column aims to give Java developers a glimpse of the mysterious mechanisms clicking and whirring beneath their running Java programs. This month's article continues the discussion of the bytecode instruction set of the Java virtual machine (JVM). The article takes a look at integer arithmetic and logic in the JVM, and covers the bytecodes that perform logical and arithmetic operations on integers. Subsequent articles will discuss other members of the bytecode family. Integer arithmetic The Java virtual machine offers bytecodes that perform integer arithmetic operations on ints and longs. Values of type byte, short, and char are converted to int before they take part in arithmetic operations. For each bytecode that performs arithmetic on ints, there is a corresponding bytecode that performs the same operation on longs.

137. MCA Learning Units Features selected learning modules for arithmetic, algebra, geometry, trigonometry, statistics and probability. Includes some resource links. http://www.staff.vu.edu.au/mcaonline/units/index.html

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138. Floating-point Arithmetic Under the Hood. Floatingpoint arithmetic. In the JVM, floating-point arithmetic is performed on 32-bit floats and 64-bit doubles. http://www.javaworld.com/javaworld/jw-10-1996/jw-10-hood.html

Advertisement: Support JavaWorld, click here! October 1996 HOME FEATURED TUTORIALS COLUMNS FORUM ... JAVA BOOK INDEX JavaWorld Services Newsletters Special Offers ProductFinder Education Resources ... White Paper Library Under the Hood Floating-point arithmetic A look at the floating-point support of the Java virtual machine Summary All Java programs are compiled into class files which contain bytecodes, the machine language of the Java virtual machine. This article takes a look at the bytecodes that implement the floating-point capabilities of Java. (2,500 words) By Bill Venners Printer-friendly version Mail this to a friend Page 1 of 2 Advertisement elcome to another installment of Under The Hood . This column aims to give Java developers a glimpse of the hidden beauty beneath their running Java programs. This month's column continues the discussion, begun last month , of the bytecode instruction set of the Java virtual machine (JVM). This article takes a look at floating-point arithmetic in the JVM, and covers the bytecodes that perform floating-point arithmetic operations. Subsequent articles will discuss other members of the bytecode family. The main floating points The JVM's floating-point support adheres to the IEEE-754 1985 floating-point standard. This standard defines the format of 32-bit and 64-bit floating-point numbers and defines the operations upon those numbers. In the JVM, floating-point arithmetic is performed on 32-bit floats and 64-bit doubles. For each bytecode that performs arithmetic on floats, there is a corresponding bytecode that performs the same operation on doubles.

139. Algorithms And Data Structures In F And Fortran Codes from book by Robin Vowels for sorting, linked lists and trees, complex arithmetic, text processing, solving linear equations, graphics, searching, numerical methods, and whole array operations. http://www.fortran.com/F/adsff.html

Algorithms and Data Structures in F and Fortran By Robin A. Vowels Published by Unicomp, 1998. 488 pages. $49.00 ISBN 0-9640135-4-1 Algorithms and Data Structures in F and Fortran emphasizes fundamentals of structured programming through study of F and Fortran 90/95. It is designed for a reader's second exposure to computer programming, whether it be through self-study or a course in computer science. The book is not just algorithms. Additional F/Fortran topics are included: separate theme chapter are devoted to complex arithmetic, file processing, list processing (the extensive chapter includes binary search trees), text processing including string searching, and recursion. Chapters can be studied in any order, as they are mostly independent; They can be selected at will according the reader's interests. The book is backed up by comprehensive appendices on the built-in procedures and summaries of the F and Fortran statements. It is recommended, although not essential, that the reader be familiar with the F or Fortrran 90/95 programming language, prior to using this text. One excellent introduction to F is Programmer's Guide to F The programs in the book are available here in zip format The programs in the book are available here in tar.gz format

140. Algorithm Sampler Library of routines for large integer arithmetic and number theory. http://www.perfsci.com/free/giantint/index.html

GiantInt - free software release GiantInt is a number-theoretical package for large-integer arithmetic. It may be downloaded, and used for any purpose, on an "as is" basis. Software overview The giantint package consists of a library of routines for large integer arithmetic and number theory. Included are: large-integer operations, on type 'giant' structures, factoring programs that show how to use the large integers, and a sample Lucas-Lehmer test for Mersenne numbers Contents numberth: Number-theoretical programs for factoring and primality testing. File list The following is a list of files in the giantint release. readme numberth/ factor.c fermat.c ellmul.c ellmul0.c giants.c giants.h lucdwt.c readme tutor.c How to download giantint (Release 19 FEB 2003) You may download giantint at any time, free of charge. PSI makes no warranty for this free software and we disclaim any and all implied warranties or conditions, including any implied warranty of title, of noninfringement, of merchantability, or of fitness for a particular purpose. If these terms are acceptable to you and you wish to download the free software, click here PSI 3754 SE Knight St., Portland, OR 97202

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