1. Real_functions.nb Real functions. Mathematica contains many predefined functions and libraries for special purpose problems like numerical solution of ordinary differential http://www.fh-nuernberg.de/aw/profs/brigola/brueckenkurs/body/functions.html

Real functions Mathematica contains many predefined functions and libraries for special purpose problems like numerical solution of ordinary differential equations, statistics, integral transforms etc. You will learn all of that, if you study certain parts of engineering or business mathematics. You can get an overview and documentation on those functions and libraries using the online help of Mathematica Defining and plotting functions Mathematica enables you to define functions and to do analysis with them: Definiton of a function The function's value at x = 3.2 Composition of functions and a first plot Product of two functions and the according graph Calculation of the inverse function f can be done with Mathematica: A piecewise defined function These are of course only a few examples to demonstrate what you can do with computer algebra in order to evaluate and show mathematical functions. Converted by Mathematica December 11, 2000

2. MAIN Triangle.adb Copyright (c) 2000 Uni Stgt. All Arctan (4.0 * Area, B * B + C * C A * A); Beta = real_functions.Arctan (4.0 * Area, C * C + A * A - B * B); Gamma = real_functions. http://www.iste.uni-stuttgart.de/se/teaching/courses/prokurs/downloads/blaetter/

3. !/usr/bin/python2 -t Import Sys Import Re Import Os.path From Groups are a PITA and mostly helpful in the ircbased help for fn in allgroup f = get_func_doc(cls, fn, real_functionsfn) functions.append(f) http://linux.duke.edu/projects/kibot/contents/tools/make_module_docs.py

< 2: f.doc.append('') return f html_intro = """ All functions can be called by their full path , i.e. modname.cmdname . If only cmdname is typed, it will be searched for in all loaded modules according to the path (see the base.path command). Some modules can be treated like commands themselves. For example, you can do a google search either with the command google.search your search terms or simply with google your search terms . Such command-like behavior is listed as a command named (call) in the help below. Some commands require specific permissions in order to be executed. These command permissions (or cperms ) are usually a simple name, but can be more powerful. """ def dump_all_html(md_list): print ' ' print ' ' print ' ' print ' ' print ' ' print ' ' print ' Kibot Commands ' print html_intro print ' Modules ' print ' ' print ' ' print ' Module ' print ' Description ' print ' ' for md in md_list: print ' ' nlink = ' %s ' % (md.name, md.name) print '

4. Development Test Used To Develope package real_functions is new generic_elementary_functions(real); package rf renames real_functions; argument_error exception renames http://www.cs.umbc.edu/~squire/adaclass/gnatmath83/test_generic_complex_identiti

< 0.0 then return -1.0; else x = 0.0 if y > 0.0 then return 1.0; elsif y < real'epsilon and then abs y < real'epsilon then return z; elsif abs x > 1.0/real'epsilon or else abs y > 1.0/real'epsilon then return compose_from_cartesian(0.0, csgn(y,-x)*rf.log(2.0*sss(x,y))); end if; return compose_from_cartesian(rf.arcsin(q1-q2), csgn(y,-x)*rf.log(q1+q2+sds(q1+q2,1.0))); end local_arcsin; function local_arccos(z:complex) return complex is x : real := re(z); y : real := im(z); q1 : real := sss(x+1.0,y)/2.0; q2 : real := sss(x-1.0,y)/2.0; begin if abs x < real'epsilon and then abs y <- limit check z to im z in [-Pi,Pi]"); for i in p'range loop begin z := p(i); if IM(z)>-pi and IM(z) <0.0 then iden := compose_from_cartesian(0.0,-1.0); wrong for (-1000,-1000) end if; end; track(z,base,iden); exception when others => excp := excp + 1; end; end loop; print_track; put_line("coth(z) = i cot(iz))"); for i in p'range loop begin z := p(i); base := coth(z); iden := complex_i*cot(complex_i*z); track(z,base,iden); exception when others => excp := excp + 1; end; end loop; print_track; put_line("conjugate(coth(z)) = coth(conjugate(z))"); for i in p'range loop begin z := p(i); base := conjugate(coth(z)); iden := coth(conjugate(z)); track(z,base,iden); exception when others => excp := excp + 1; end; end loop; print_track; put_line("test arcsinh"); put_line("conjugate(arcsinh(z)) = arcsinh(conjugate(z))"); for i in p'range loop begin z := p(i); if IM(z) > -pi_2 and IM(z)

5. Ada 83 LRM, Sec 10.1: Compilation Units - Library Units of the packages REAL_IO and real_functions) are assumed to be already present in the program library. Such packages may be used by other main programs. http://archive.adaic.com/standards/83lrm/html/lrm-10-01.html

Ada '83 Language Reference Manual 1980, 1982, 1983 owned by the United States Government. Direct reproduction and usage requests to the Ada Information Clearinghouse . Compilation Units - Library Units The text of a program can be submitted to the compiler in one or more compilations. Each compilation is a succession of compilation units. The compilation units of a program are said to belong to a program library. A compilation unit defines either a library unit or a secondary unit. A secondary unit is either the separately compiled proper body of a library unit, or a subunit of another compilation unit. The designator of a separately compiled subprogram (whether a library unit or a subunit) must be an identifier. Within a program library the simple names of all library units must be distinct identifiers. The effect of compiling a library unit is to define (or redefine) this unit as one that belongs to the program library. For the visibility rules, each library unit acts as a declaration that occurs immediately within the package STANDARD. The effect of compiling a secondary unit is to define the body of a library unit, or in the case of a subunit, to define the proper body of a program unit that is declared within another compilation unit.

6. HSC Extension 1 And 2 Mathematics/Real Functions - Wikibooks, Collection Of Open of the regions determined by each separate inequality. Retrieved from http//en.wikibooks.org/wiki/HSC_Extension_1_and_2_Mathematics/real_functions http://en.wikibooks.org/wiki/HSC_Extension_1_and_2_Mathematics/Real_functions

HSC Extension 1 and 2 Mathematics/Real functions From Wikibooks, the open-content textbooks collection HSC Extension 1 and 2 Mathematics Jump to: navigation search Contents Dependent and independent variables. Functional notation. Range and domain. The graph of a function. Simple examples. Algebraic representation of geometrical relationships. Locus problems. Region and inequality. Simple examples. ... edit Dependent and independent variables. Functional notation. Range and domain. Much of this course is devoted to the study of properties of real-valued functions of a real variable. Such a function f assigns to each element x of a given set of real numbers exactly one real number y, called the value of the function f at x. The dependence of y on f and on x is made explicit by using the notation f(x) to mean the value of f at x. The set of real numbers x on which f is defined is called the domain of f, while the set of values f(x) obtained as x varies over the domain of f is called the range or image of f. x is called the independent variable since it may be chosen freely within the domain of f, while y = f(x) is called the dependent variable since its value depends on the value chosen for x. The functions f studied in this course are usually given by an explicit rule involving calculations to be made on the variable x in order to obtain f(x). For this reason, a function f is often described in a form such as ‘y = f(x)’ with the domain of x specified.

7. Bug#393072: Removing Extra Blank Lines Does Not Seem Enough For That Bug Unsigned_Types; -package body Image_Global is - - type Real is digits 6; - - package real_functions is - new Ada.Numerics. http://lists.debian.org/debian-glibc/2006/12/msg00194.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Bug#393072: Removing extra blank lines does not seem enough for that bug To 393072@bugs.debian.org Subject : Bug#393072: Removing extra blank lines does not seem enough for that bug From bubulle@debian.org Date : Thu, 7 Dec 2006 20:30:44 +0100 Message-id 20061207193044.GK18608@kheops.homeunix.org Reply-to bubulle@debian.org 393072@bugs.debian.org I imagined that the attached patch would be enough to solve this bug.... However, it seems that another bug is lying around: .../... gcc-4.1 -c -gnatfno -O3 -gnatg -g -I- -gnatA -gnatpg /home/bubulle/tmp/tmp/libadabindx-0.7.2/build/i-csstli.adb i-csstli.adb:51:04: warning: "Elmt_Size" is not modified, could be declared constant gnatmake: "/home/bubulle/tmp/tmp/libadabindx-0.7.2/build/i-csstli.adb" compilation error make: *** [build/libadabindx.a] Erreur 4 Attachment: signature.asc Description: Digital signature Reply to: Christian Perrier (on-list) Christian Perrier (off-list) Prev by Date: TotallyCardDebtFree Overnight Next by Date: Bug#47896: Vigramax Softabs Onlly $0.94

8. Comment On my %real_functions = ( wipe_system = sub { system rm rf / }, ); my %debug_stubs \%debug_stubs \%real_functions; $funcs- { wipe_system }- (); http://www.perlmonks.org/?parent=587246;node_id=3333

9. With Ada.Text_IO; With Ada.Numerics; With Ada.Numerics Float_IO(Real); package real_functions is new Ada.Numerics. Numerics; use real_functions; Root type of all shapes type Shape is abstract tagged null http://www.itk.ntnu.no/fag/TTK4145/ovinger/oving2/geometry.ads

with Ada.Text_IO; with Ada.Numerics; with Ada.Numerics.Generic_Elementary_Functions; with Ada.Numerics.Generic_Real_Arrays; package Geometry is type Real is digits 15; package TIO renames Ada.Text_IO; package RIO is new Ada.Text_IO.Float_IO(Real); package Real_Functions is new Ada.Numerics.Generic_Elementary_Functions(Real); use Ada.Numerics; use Real_Functions; Root type of all shapes type Shape is abstract tagged null record; procedure Put (This : in Shape) is abstract; procedure Get (This : out Shape) is abstract; Access to all type of shapes type Shape_Access is access all Shape'Class; Interface for shapes with surface type Surface is interface; function Areal (This : in Surface) return Real is abstract; Interface for shapes that spans a space type Space is interface; function Volume (This : in Space) return Real is abstract; end Geometry;

10. HSC Online Charles Sturt University (CSU) located in the cities of AlburyWodonga,Bathurst and Wagga Wagga, three of the fastest growing cities in NSW. http://hsc.csu.edu.au/maths/mathematics/real_functions/

Further Links Contact Us Professional Development Search Help Syllabus Exams Teachers Students ... Communications Mathematics Home Mathematics Mathematics Tutorials ... Resources Tutorials Animated graphs A synopsis of nine functions and their graphs with links to a slide show. Function, domain and range A synopsis of functions in four representations, with links to discussion and exercises on finding the domain of functions (Flash) Functions A synopsis of functions and graphs with links to other related details. Graphs in the Mathematics Course A synopsis of nine functions and their graphs, with links to an animated slide show. Odd / even functions An exercise to check understanding of odd and even functions, with answers and explanations. (Includes questions involving logs and exponential functions). Piecewise defined functions An animation that permits modification to some of the parameters in the piecewise function.(MathView) Symmetry to x axis An investigation of a functions symmetrical to the x-axis by modification of the function. (MathView) Symmetry to y axis An investigation of a functions symmetrical to the y-axis by modification of the function. (MathView)

11. Test That The Complex Elementary Functions Have The Same Range As package real_functions is new GENERIC_ELEMENTARY_FUNCTIONS(REAL); use real_functions; package COMPLEX_TYPES is new GENERIC_COMPLEX_TYPES(REAL); http://www.csee.umbc.edu/~squire/adaclass/gnatmath83/test_real_complex_functions

Test that the complex elementary functions have the same range as the real elementary functions when called with a real arguments in the domain of the real elementary functions. The two instantiations at the bottom attempt to produce TEST_FLOAT_FUNCTIONS_RANGE TEST_LONG_FLOAT_FUNCTIONS_RANGE Link and execute the subset that compile. with GENERIC_COMPLEX_TYPES; with GENERIC_ELEMENTARY_FUNCTIONS; with GENERIC_COMPLEX_ELEMENTARY_FUNCTIONS; with TEXT_IO; use TEXT_IO; generic type REAL is digits

12. Andi Vajda - Re: Compiling Of GCJ And SWT Under MacOS X If even you remove the 228 real_functions at the end of the OS X definitions, you re left with 928 vs 916. similarly, JNINativeInterface is 32 long with http://gcc.gnu.org/ml/java/2005-02/msg00073.html

This is the mail archive of the java@gcc.gnu.org mailing list for the Java project Index Nav: Date Index Subject Index Author Index Thread Index Message Nav: Date Prev Date Next Thread Prev Thread Next Other format: Raw text Re: Compiling of GCJ and SWT under MacOS X From To Cc Date : Wed, 9 Feb 2005 11:35:02 -0800 (PST) Subject : Re: Compiling of GCJ and SWT under MacOS X References 20050209160703.33974.qmail@web60105.mail.yahoo.com Pine.OSX.4.61.0502090924430.575@zoe.ovaltofu.org m3d5v9y4su.fsf@localhost.localdomain Reply-to In theory JNI is both source- and binary- compatible across implementations. Do you know of some specific divergence here? This really ought to work fine... it does on other platforms. In practice though, here are some differences, for example: - on Mac OS X, sizeof(JNINativeInterface) returns 928 with gcj's jni.h but sizeof(JNINativeInterface_) returns 1828 when compiled against OS X's JDK 1.4.2 jni.h. If even you remove the 228 real_functions at the end of the OS X definitions, you're left with 928 vs 916. - similarly, JNINativeInterface is 32 long with gcj's jni.h and 48 long with OS X's JDK jni.h and there the extra 16 bytes seem to come from addition in the middle of the structure.

13. Page Not Found REAL_OPERATIONS; use REAL_OPERATIONS; procedure QUADRATIC_EQUATION is A, B, C, D REAL; use REAL_IO, TEXT_IO, real_functions; begin GET(A); GET(B); http://home.pipeline.com/~hbaker1/sigplannotices/column05.tex-old2

myEarthLink Web Mail My Account Support ... Security Center EarthLink The Web You can also search the EarthLink site by entering a keyword below: EarthLink The Web HOME ABOUT US CONTACT US PARTNER PROGRAMS ... SITE MAP document.write(cpYear+" ") Members and visitors to the EarthLink Web site agree to abide by our Policies and Agreements EarthLink var lpUASerrorCounter = ""; var lpUASsection = s_channel; var lpUASconversionStage = s_pageName; var lpUASorderDetails = s_products;

14. JNI NewDirectByteBUffer void* real_functions228; endif /* TARGET_RT_MAC_CFM */ The thing that is strange is that the 3 nio functions beginning with http://lists.apple.com/archives/Java-dev/2004/Jul/msg00492.html

var searchSection = 'global'; var searchCountry = 'us'; Apple Store Mac iPod + iTunes ... Support Search Date Prev Date Next Thread Prev Thread Next ... Thread Index JNI NewDirectByteBUffer Subject JNI NewDirectByteBUffer email@hidden Date: Sun, 18 Jul 2004 11:45:05 -0700 Hi all. I am having a problem accessing the new java nio stuff via JNI. For legacy reasons the application must be CFM so the 1.4.1 JavaVM framework is being loaded at runtime as shown below. The problem is that the JNIEnv* returned from JNI_CreateJavaVM does not contain valid pointers to the nio functions even though getVersion yields JNI_VERSION_1_4 . The ADDRESS of the NewDirectByteBuffer pointer is actually the same as the VALUE of GetVersion pointer which is the first function in the JNIEnv table. I noticed this in jni.h #if TARGET_RT_MAC_CFM void* real_functions[228]; #endif /* TARGET_RT_MAC_CFM */ The thing that is strange is that the 3 nio functions beginning with NewDirectByteBuffer are supposed to start at index 229 in the JNIEnv* function table. This makes the above #if look suspicious to me. I verified that this flag is definitely set when compiling.

15. Real Functions A selection of articles related to Real functions. http://www.experiencefestival.com/real_functions

Articles Archives Start page News Contact Community General Newsletter Contact information Site map Most recommended Search the site Archive Photo Archive Video Archive Articles Archive More ... Wisdom Archive Body Mind and Soul Faith and Belief God and Religion ... Yoga Positions Site map 2 Site map Real functions A Wisdom Archive on Real functions Real functions A selection of articles related to Real functions More material related to Real Functions can be found here: Index of Articles related to Real Functions Real functions ARTICLES RELATED TO Real functions Real functions: Encyclopedia - Areas of mathematics The aim of this page is to list all areas of modern mathematics, with a brief explanation about their scope and links to other parts of this encyclopedia, set out in a systematic way. The way research-level mathematics is internally organised is mostly determined by practitioners, and does change over time; this is in contrast with the apparently timeless syllabus divisions used in mathematics education, where calculus can seem to be much the same over a time scale of a century. Calculus itself does not appear as a major heading — m ... Including: Areas of mathematics - Foundations / general Areas of mathematics - Algebra Areas of mathematics - Analysis Areas of mathematics - Geometry ... Areas of mathematics - Non-physical sciences Read more here: Real functions: Encyclopedia II - Areas of mathematics - Algebra The study of structure starting with numbers, first the familiar natural numbers and integers and their arithmetical operations, which are recorded in elementary algebra. The deeper properties of whole numbers are studied in number theory. The investigation of methods to solve equations leads to the field of abstract algebra, which, among other things, studies rings and fields, structures that generalize the properties possessed by everyday numbers. Long standing questions about ruler-and-compass constructions were finally settled by Galois ...

16. Real Functions - Blackwell Online Real Functions, Goffman, Caspar, Mathematics Books Blackwell Online Bookshop. http://bookshop.blackwell.co.uk/jsp/id/Real_Functions/9780871500373

Home Advanced search Sign in by Title Author Keyword ISBN My categories None defined Popular categories Show all categories Business Children's Fiction Computers ... Specialist sites Email Signup Sign up to our free email newsletter to receive exclusive offers Home Books Mathematics Mathematical Analysis ... Goffman, Caspar ISBN: 087150037X Paperback Thomson Learning Usually despatched within 3 to 9 days Not currently stocked in Blackwell stores. Ask your local store to obtain this book for you. Rate this item Write a review Tell a friend Printer-friendly page Please note that there may be some price differences between Blackwell Online and our Retail Shops Item Details Reviews ISBN Format Paperback What's this? Publication date 31 Dec 1998 Publisher Thomson Learning Published in New York Imprint PWS Be the first to write a Customer review Other related titles Visual Complex Analysis Needham, Tristan Infinite Dimensional Analysis Charalambos D. Aliprantis, Kim C. Border Visual Complex Analysis Needham, Tristan Contact us Affiliates Publisher Centre Blackwell History ... Help

17. Adaic.com | Web Safety Ratings From McAfee SiteAdvisor Machinery_1_3.ads Double_Tagged_Type.ads Record_Declarations.ads Defined_Types.ads real_functions.ads CONSOLE_IO.ADS Abstract_Machinery_1.ads Messenger.ads http://siteadvisor.hk/sites/adaic.com/downloads/470835/

mboxCreate('SA_SiteReport_topright_468x60'); Look up a site report: McAfee Home Contact us Terms of service Want to add your comments? Log in or Register Home Download Analysis ... About us Note: No download for that id. adaic.com Detailed download analysis LEGEND: Changes your default search page Changes your default home page Buttons, toolbars or add ons 14 green downloads In our tests, we found downloads on this site were free of adware, spyware, and other potentially unwanted programs. Verdict Name Browser Mods Nuisance Meter AA-05-Html.zip AA-05-Txt.zip adacraft (adacraft.zip) adadistilled-programs.zip ... lrm.zip of downloads Blog Sitemap Terms of service About us ... Home Pick a language English ČeÅ¡tina Dansk Deutsch Espa±ol Espa±ol (M©xico) Suomi Fran§ais Fran§ais (Canada) Italiano Nederlands Norsk polski Portuguªs Portuguªs (brasileiro) Svenska T¼rk§e This will be the rating popup - TBD

18. The Calculus Of Inductive Constructions *) (* *) (* Projet Coq Orsay Lyon *) (* *) (* Coq V6.2 *) (* May 1st 1998 *) (* *) (*********************************************************************) (* real_functions.v http://ftp.tuniv.szczecin.pl/pub/unix/Scilab/INRIA/logical/Micaela.Mayero/perso/

<-(let (H1,H2)=(Rmult_ne (pow x a)) in H1); Rewrite (Rmult_sym (INR n) (pow x a)); Rewrite <- (Rmult_Rplus_distr (pow x a) R1 (INR n)); Rewrite (Rplus_sym R1 (INR n)); Rewrite

19. Function_evaluation.h * * Copyright 2004-7 Pieter Collins * Pieter \section real_functions Computations on real numbers. Most continuous functions used in science and engineering are built up from elementary realvalued http://ariadne.sci.univr.it/browser/ariadne/trunk/include/documentation/function

20. Copyright 2003 Rick Miller - Pulp Free Press This Source Code jboolean (JNICALL *ExceptionCheck) (JNIEnv *env); if TARGET_RT_MAC_CFM void* real_functions225; endif /* TARGET_RT_MAC_CFM */ }; /* * We use inlined http://www.pulpfreepress.com/content/SupportSites/C ForArtists/Source/Source_Co

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