81. Mathematics The real number system, functions, limits of sequences and of functions, continuityand uniform continuity, the derivative, Taylor s formula, http://ug.technion.ac.il/Catalog/CatalogEng/01002084.html

104154 - INTRODUCTION TO NUMBER THEORY Lecture Tutorial Laboratory Project/Seminar Weekly hours Credit points Prerequisites: 104172 - INTRODUCTION TO THE THEORY OF GROUPS and 104279 - INTRODUCTION TO RINGS AND FIELDS Overlapping courses: 214213 - INTRODUCTION TO NUMBER THEOTY 104165 - REAL FUNCTIONS Lecture Tutorial Laboratory Project/Seminar Weekly hours Credit points Prerequisites: 104281 - INFINITESIMAL CALCULUS 2 Linked courses: 104142 - INT. TO METRIC AND TOPOLOGICAL SPACE Lebesgue measure, measurable functions, integrable functions and convergence theorems, the relation between the Riemann and Lebesgue integrals, monotone functions and functions of bounded variation, differentiation of monotone functions, absolutely continuous functions, the Riemann-Stieltjes integral, the theorems of Fubini and Tonelli. Return to the faculty subjects list 104167 - ALGEBRA A Lecture Tutorial Laboratory Project/Seminar Weekly hours Credit points Overlapping courses: 104087 - MATHEMATICS 1/MEDICINE 104016 - ALGEBRA 1/EXTENDED Incorporated courses: 104005 - ALGEBRA 1 104006 - LINEAR ALGEBRA Fields, complex numbers, vector spaces, subspaces, bases, dimension, linear equations, matrices, the Gauss elimination process: determinants, linear transformations, kernels, images, Hom (V,w), Hom (V,V), determinants, eigenvalues and diagonalization.

82. Real :: Functions (Fixed-Point Toolbox) . Refer to the MATLAB realreference page for more information.......real. Return real part of complex number. http://www.mathworks.com/access/helpdesk/help/toolbox/fixedpoint/ug/real.html

Fixed-Point Toolbox real Return real part of complex number Description Refer to the MATLAB real reference page for more information. range realmax Trademarks

83. Heron's Formula For Computing Triangle Area Using External Functions Write a program to read in three real values and use a function for testing real FUNCTION Area() ! This function takes three real number that form a http://www.cs.mtu.edu/~shene/COURSES/cs201/NOTES/chap06/area-3.html

Heron's Formula for Computing Triangle Area Using External Functions Problem Statement We have seen Heron's formula for computing triangle area using internal functions. This problem uses the same idea; but the program should use external functions. Given a triangle with side lengths a b and c , its area can be computed using the Heron's formula: where s is the half of the perimeter length: In order for a b and c to form a triangle, two conditions must be satisfied. First, all side lengths must be positive: Second, the sum of any two side lengths must be greater than the third side length: Write a program to read in three real values and use a function for testing the conditions and another function for computing the area. Should the conditions fail, your program must keep asking the user to re-enter the input until the input form a triangle. Then, the other function is used to compute the area. Solution Click here to download this program. Program Input and Output The following is the output from the above program. Three sides of a triangle please > -3.0 4.0 5.0 Input sides are -3., 4., 5. Your input CANNOT form a triangle. Try again Three sides of a triangle please > 1.0 3.0 4.0 Input sides are 1., 3., 4. Your input CANNOT form a triangle. Try again Three sides of a triangle please > 6.0 8.0 10.0 Input sides are 6., 8., 10. Triangle area is 24.

84. Visualizing Functions Of A Complex Variable Let us first consider a real function of a real variable, y = sin(x), for example . A real function of two variable, z = sin(x*y), for example, http://www.pacifict.com/ComplexFunctions.html

Visualizing Functions of a Complex Variable What does it mean to graph a function of a complex variable, w = f(z)? Let us first consider a real function of a real variable, y = sin(x), for example. The set of points (x,y) which satisfy this can be graphed, for some finite domain, as a 2D picture: A real function of two variable, z = sin(x*y), for example, can be graphed, over some finite domain, as the height of a 3D surface, a density plot, or a set of contour lines: The surface on the left is a 3D model of the (x,y,z) points satisfying the equation. The density plot in the middle represents the value of the function at (x,y) as a color. The contour plot on the right shows curves in the (x,y) plane where the function is constant. A function of a complex variable, w = f(z), can be thought in terms of its real components: We will demonstrate a number of ways to visualize the set of points (x, y, u, v) satisfying this equation. Explicitly dropping one of the coordinates allows us to render a 3D surface. We can also encode the remaining coordinate by coloring the surface. (x, y, u) can be seen by graphing Re(f(x+iy))

85. Functions Of Real Variables: New & Used Books Category Search Result For Functio functions Of real Variables New Used Books Category Search Result for functionsOf real Variables. Compare new and used books prices among 122 book http://www.fetchbook.info/fwd_topics/id_1545546.html

Bookmark Recommend Us Enhance Your Site Browse Books ... Forums New! Help Keyword Title Author ISBN Welcome Guest [Sign In] Searched in books for Functions Of Real Variables More than titles matched your search. Search took seconds. All Categories Mathematics Calculus Functions Of Real Variables Add Review Functions of Several Variables, 2nd Edition (Illustrated) By E.H. Fleming Hardcover / 411 Pages / Springer Verlag / February 1997 / 0387902066 List Price $64.95 / Similar to Functions of Several Variables Compare Prices Add To Wish List Details ... Add Review Calculus of Several Variables, 3rd Edition By Serge Lang Hardcover / 4 Pages / Springer Verlag / January 1995 / 0387964053 List Price $64.95 / Similar to Calculus of Several Variables Compare Prices Add To Wish List Details ... Add Review Real Analysis By Norman Haaser Joseph A. Sullivan Paperback / Dover Pubns / February 1991 / 0486665097 List Price $14.95 / Similar to Real Analysis Compare Prices Add To Wish List Details ... Add Review Vector Calculus, 5th Edition By Jerrold E. Marsden

86. Real Function -- From MathWorld real Function. From MathWorldA Wolfram Web Resource.http//mathworld.wolfram.com/realFunction.html. © 1999 CRC Press LLC, © 19992005Wolfram Research, http://mathworld.wolfram.com/RealFunction.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Calculus and Analysis Functions Real Function A function whose range is in the real numbers is said to be a real function, also called a real-valued function. SEE ALSO: Complex Function Function Real Variable Scalar Function ... [Pages Linking Here] CITE THIS AS: Eric W. Weisstein. "Real Function." From MathWorld A Wolfram Web Resource. http://mathworld.wolfram.com/RealFunction.html Wolfram Research, Inc.

87. Vignettes On Automorphic And Modular Forms, Representations, L-functions, And Nu By Paul Garrett. http://www.math.umn.edu/~garrett/m/v/

Vignettes on automorphic forms, representations, L-functions, and number theory [ambient page updated 15 Sep '05] ... [ home Also: functional analysis intro to modular forms buildings notes number theory ... pdf updated 14 Sep '05] ... We want to prove that the singular homology of quotients X/Gamma is the group homology of Gamma, under some mild conditions on X (such as that X be a ball). We recap work of Hopf, Hurewicz, Eilenberg-MacLane: homology of spaces with vanishing higher homotopy is determined by the first homotopy group, giving a functor on groups. Then recall Dold's result that removes the requirement that the spaces be CW-complexes. Historical notes. Representation of Lie algebra sl(2) on Schwartz functions pdf updated 14 Sep '05] ... [DRAFT] Setting up Lie algebra action of sl(2) on Schwartz functions: archimedean case of Weil representation. The benefits of looking at the Lie algebra rather than Lie group action are compelling in this example. Amusing connection to spherical harmonics... Buildings, Bruhat decompositions, etc.

88. Numerit: Mathematical & Scientific Computing - Numerical Programming An environment for developing numerical computation programs and producing publicationquality documents with equations, graphs, and tables. Includes a program editor, a debugger, a scientific word processor, an equation editor, and a powerful high-level programming language that supports multidimensional arrays, complex numbers, and user-defined functions. http://www.numerit.com/

What's New More Info Products Ordering ... tinySpell E-Mail Information Technical support Feedback do your numerical computations the easy way go directly to the final publication-quality document write powerful programs with minimum effort use superior tools to edit and debug your programs Numerit is an intuitive programming environment for developing numerical computation programs and producing publication quality documents . If you are a scientist, an engineer, or a student, Numerit is the right tool for you. In Numerit you write a program in the Editor pane using the built-in program editor , and edit the program's output in the Document pane using the built-in scientific word processor . The objects in the document (graphs, tables, etc.) are directly linked to the variables in the program. Click here for a screen shot Numerit 's high-level programming language is easy-to-learn, powerful, and versatile. It supports multidimensional arrays, complex numbers, and user-defined functions. It has many built-in functions for data analysis. Numerit 's built-in debugging tools will take you safely through the process of program development. You may pause the program during the run, or execute it line by line. You may inspect variables while the program is running with a simple mouse click.

89. L-Functions Classified by degree, then by level, then by eigenvalue, then by root number. http://www.math.okstate.edu/~loriw/start/start.html

L-functions Degree 1 Degree 2 This is the starting point for the L-functions site. In this web site we are interested in giving information about L-functions from the Selberg class S . The information is intended to be both qualitative and quantitative. We intend to list as many properties and features of specific L-functions as possible and also to allow for the computation of coefficients, special values, and zeros upon request by the reader. The class S These are Dirichlet series which satisfy 4 axioms as given by Selberg. Functional Equation S satisfies a functional equation that can be written uniquely as Data There is a unique 4-tuple of data that can be associated to F where We will call d the degree q the level the eigenvalue set , and the root number of F Examples is the data for the Riemann zeta function. is the data for the Dirichlet L-function with the character which is the Legendre symbol modulo 5 is the data for the Dirichlet L-function with the character modulo 5 defined by is the data for an element of S corresponding to a holomorphic newform of weight k for the full modular group.

90. Curve Fit XYZ Computer Program Curve fit program determines equation coefficients for functions y = f(x) and y = f(x,z). Polynomial, exponential and power form of the equation are included. http://www.geocities.com/SiliconValley/Hub/7246/index.html

Curve Fit XYZ Computer Program A software program, CurvFitXYZ PlotXYZ The software package includes a number of stand alone programs. The program, , is for fitting sinusoidal variations of the form y = a1(sin(x)) and y = a1(sin(x)) + a2 . The program, , uses the equations y = a1x/(x + a2) and y = (a1x + a2)/(x + a3) as another curve fit option. Program CurvFitPowerXY , provides asymptotic variation of x and y. Curve fit procedure is similar to the double exponential solution. The procedure is less complicated and provides excellent data fit results. The latest program addition, , was developed to satisfy user requirements, that the curve fit pass thru all data points. The program uses the cubic spline curve fit method for a single curve and determines all the coefficients that define the curve. The link, , provides y = f(x,z) data plot samples from the software . The equation forms could be used in the field of biochemistry, microbial physiology, economics, electrical engineering and aerodynamics. The link

91. Ordinary Mathematics Covers forms, numbers and functions. Introduces high school students to basic to advanced math principles and reasoning. http://kr.cs.ait.ac.th/~radok/math/mat/startall.htm

Mathematics and Physics for Everybody This library now contains twelve volumes: Translations and extracts from relatively old texts. If you find errors, have questions or want a CD, please contact Rainer Radok, 1.10.2001, radok81@bkk2.loxinfo.co.th 28/2 Mu 13 Nongnae 24120, Thailand, Tel: 038-523492 Treatise of physics by Arnold Berliner, Julius Springer, Berlin 1935 by Dr. Artur Morgenstern, Ferdinand Hirt in Breslau 1933. by Dr. Felix Behrend, Ferdinand Hirt in Breslau 1932. by Dr. R. Kochendörffer's, Teubner in Leipzig 1961. Real Numbers and Fascinating Fractions Based on N.M. Beskin's work with the title Fascinating Fractions translated by V.I.Kisin, MIR Publishers, Moscow, 1986 Advanced Algebra by Professor F.W.Levi, University of Calcutta, 1942 Differential and Integral Calculus by Professor R.Courant, translated by E.J.McShane, Interscience Publishers, New York, 1934 Volume I Volume II Numerical Analysis by Professors R.J.Hosking and R.Radok, Bangkok 2000 Computational Mathematics forDifferential Equations by Professors N.V.Kopchenova and I.A.Maron, MIR Publishers, Moscow, 1975 Partial Differential Equations of Physics A Course of Pure Mathematics by G.H.Hardy, M.A., F.R.S., Cambridge University Press

92. MathFinance - Financial Functions Library In Fortran 90 Fortran 90 code for the CoxRoss-Rubinstein binomial model, the analytic Black-Scholes formula, and Monte Carlo Simulation. http://www.mathfinance.de/FF/f90lib.html

MathFinance - Financial Functions Library in Fortran 90 Here you find some sample source code written in FORTRAN 90. It covers the Cox-Ross-Rubinstein binomial model, the analytic Black-Scholes formula as well as Monte Carlo Simulation. These functions can easily we converted into a dynamic link library , such that you can use them in other applications such as Microsoft Excel. !- !wy_US produces values and greeks of European and American puts and calls !following the Cox, Ross, Rubinstein binomial model. !- !DEC$ ATTRIBUTES DLLEXPORT :: WY_US parameter percent = 0.01 parameter nmax = 1002 double precision :: spot, strike, vol , rd , rf, tau integer ::ea, convention, quotation, greek , N, phi double precision, dimension(-nmax: nmax):: s double precision, dimension(-1: nmax):: V double precision :: dt, DF, u, p, q, relstrike, rforward, disc, valuefactor integer :: i, j, k select case (greek) case (0) !value f = 0. !initialize, then do two binomial trees, one with N steps and one with N+1 steps do k = 0, 1 ! set parameters: dt = tau / (N + k) u = exp(vol * Sqrt(dt)) select case (convention) case (0)

93. PlanetMath: Real Function parent real function, (Definition) real function is owned by pahio. This is version 2 of real function, born on 200409-24, modified 2004-09-24. http://planetmath.org/encyclopedia/RealFunction.html

(more info) Math for the people, by the people. Encyclopedia Requests Forums Docs ... Random Login create new user name: pass: forget your password? Main Menu sections Encyclop¦dia Papers Books Expositions meta Requests Orphanage Unclass'd Unproven ... Classification talkback Polls Forums Feedback Bug Reports downloads Snapshots PM Book information News Docs Wiki ChangeLog ... About real function (Definition) A real function is a function from a subset of to "real function" is owned by pahio view preamble View style: HTML with images page images TeX source See Also: rational function complex function This object's parent Attachments: elementary function (Definition) by pahio power function (Definition) by pahio Cross-references: subset function There are 48 references to this object. This is version 2 of real function , born on 2004-09-24, modified 2004-09-24. Object id is 6218, canonical name is RealFunction. Accessed 1007 times total. Classification: AMS MSC (Real functions :: Functions of one variable :: Miscellaneous) Pending Errata and Addenda None.

94. Plane Graphic Calculator Java applet that can interactively plot the graph of mathematical functions. Handles complex numbers, vectors, and parametric equations. http://www.accesscom.com/~lillge/pgc

Plane Graphic Calculator Version 1.1 June 2001 The Plane Graphic Calculator is a software tool that interactively displays a graphical view of mathematical functions. This calculator is intended primarily as an educational aid to understanding the geometric interpretation of mathematical functions. The calculator allows you to directly manipulate points on the surface of a graph. These points can represent either complex numbers or 2-dimensional vectors, depending on the selected function. In addition, the calculator can plot the graphs of real functions and parametrically-defined functions. The calculator's results are displayed directly on the graph, (as either points or lines), and are automatically kept updated at all times. The calculator is located in the area below. If you see only a blank gray space, then you might need to wait for several more seconds while the calculator's files are downloaded across the Internet. If the calculator does not appear, then you might need to investigate your browser's ability to run Java 1.0 applets. Error: Cannot run the Java applet.

95. MeD's Movie Manager Customizable movie manager with add, edit, delete database functions, imports movie information from IMDb. Windows 95/98/Me/NT/2000 http://moviemanager.no.sapo.pt/

96. Permitconnect.com - Permit Processing On The Web For Users Of PTWin32 Software - The online solution to Web based permit processing for users of PTWin32 software. This site allows local government subscribers to carry out permit processing functions on the World Wide Web without having to maintain their own Internet domain or Web Site. http://www.permitconnect.com/

View Demonstration About permitconnect Contact permitconnect About PTWin32 H O M E P A G E Welcome to permitconnect.com, the on-line solution to Web based permit processing for users of PTWin32 software. This site allows local government subscribers to carry out permit processing functions on the World Wide Web without having to maintain their own Internet Domain or Web Site! Any PTWin32 user can subscribe to permitconnect.com and allow permit applicants to check the status of their projects, request inspections, send messages, and check general information on the Web. All the PTWin32 user has to do is push a button or set a timer to exchange information with permitconnect.com. PTWin32 is the most popular permitting software in North America, with over 1,000 user jurisdictions in 49 states and Canada. Now those Planning, Building, Zoning, Code Enforcement, and other local government officials have a no-fuss alternative for getting on-line fast! To learn more about permitconnect.com explore this web site. We suggest you start by pressing View Demonstration Cut down on all those inquiries that currently have your telephone ringing off the hook. Subscribe to permitconnect.com today! For more information contact Black Bear Systems at:

97. Finding Green's Functions For ODEs A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod. http://www.mathphysics.com/pde/green/g15.html

Linear Methods of Applied Mathematics Evans M. Harrell II and James V. Herod* version of 1 June 1996 Finding Green functions for ordinary differential equations. We begin with the case of the first Fredholm alternative. If the equation is in this case, we are guaranteed that it has a unique solution - but how to find it? Our method to solve a nonhomogeneous differential equation will be to find an integral operator which produces a solution satisfying all given boundary conditions. The integral operator has a kernel called the Green function There are several methods of constructing Green functions. The one we will present first, and emphasize, is the one students seem to prefer. Perhaps this is because it is easy to remember and has an inherent simplicity. Other methods will be included in these notes for comparison. There are ideas which the other methods use that are important. As before, we assume a certain form for the differential operator L: We suppose that a n (x) is not zero on [0,1] and that each term of the sequence a p (x), p=0,..., n, has at least n continuous derivatives. We discuss the construction of the

98. Anatomy And Functions Of The Male Foreskin To understand the function of the prepuce, it is necessary to understand the function of the penis. While it is commonly recognized that the penis has two functions urination and procreation - in reality, it is essential only for procreation, since it is not required for urination. http://www.noharmm.org/anatomy.htm

H O M E Quick links to products available in the Campaign for Genital Integrity . . . INFORMATIVE VIDEOS: Facing Circumcision Eight Physicians Tell Their Stories Restoration in Focus Instructional Video for Foreskin Restoration They Cut Babies, Don't They? One Man's Struggle Against Circumcision Whose Body, Whose Rights? Award-winning documentary seen on PBS! FORESKIN RESTORATION with: The P.U.D. new low pricing! and The VacuTrac at special introductory pricing! plus the Foreballs device Anatomy and Functions of the Male Foreskin as described in Circumcision: Male - Effects Upon Human Sexuality b y Marilyn F. Milos, R.N. and Donna Macris, C.N.M. in Human Sexuality: An Encyclopedia, pp.119-121, Garland Publishing, Inc., New York, 1994 NOHARMM has enhanced this article with photos from Paul Russo's Male Sexual Anatomy Site NOTE: Links with a right-facing blue arrow will take you off this site.

99. As If By Magic - Magical Entertainment For All Occasions Entertainment for adults and children. Cabaret, closeup table magic, private parties and corporate functions. Face painting, balloon modelling and stiltwalking. http://www.aibm.co.uk/

100. UBC Calculus Help Derivatives University of British Columbia course notes. Covers functions, derivatives and applications of derivatives in some detail. Calculus labs or short quizzes are also included. There are many fine illustrations in this tutorial. http://www.ugrad.math.ubc.ca/coursedoc/math100/

The UBC Calculus Online Homepage Welcome to UBC Calculus Online. This site is an online supplement to Math 100, Sections 103, 104, 107 and 109, being taught within the University of British Columbia Department of Mathematics. Everyone is welcome and feedback is appreciated. Who We Are Course Notes Labs In class demonstrations Announcements Resources Links to some other interesting sites Please send us your comments.

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