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/Home/Mathematics/Algebra/General Resources bremen real estate hotel germany at bremenbraves.com Votes:0 Welcome to bremenbraves.com Bremen Bremen Real Estate Hotel Bremen Hotel Bremen Germany Bremen Germany Park Hotel Bremen University of Bremen Bremen High School Bremen Ford Werder Bremen Bremen Bank Mannheim Frankfurt Am Main Nuremberg Dortmund Wurzburg Stuttgart Read More Go to Site Static Algebras: Motivation Votes:0 Next: Vocabularies Up: Static Algebras and Previous: Static Algebras and Static Algebras: Motivation In first-order logic, a structure is a nonempty set with operations and relations (called the basic operations and relations of the structure). That is how Tarski defined structures. He could have defined structures differently; there were a number of reasonable options. For our purposes here, a variant of Tarski's notion is more appropriate. Respecting tradition, we do not redefine structures. Rather, we modify the notion of structure and give the new notion a new name. Structures without relations are called algebras in the branch of mathematics called universal algebra. Restrict attention to algebras with distinct nullary operations true and false and define basic relations as basic oper Read More Go to Site Welcome to scruznet.com Votes:0 Click here to enter . Read More Go to Site A system of generators for #tex2html_wrap_inline1293# Votes:0 Next: The coproduct on Up: No Title Previous: The algebra A system of generators for Let q be a primitive cubic root of unity ( ). Hence, and . We also set . In order to write generators for , we need to consider matrices that have a block diagonal structure. We introduce elementary matrices for the part and elementary matrices for the part. The associative algebra defined previously can be generated by the following three matrices Explicitly, one gets Performing explicit matrix multiplications or using the relations , and , it is easy to see that the following relations are satisfied: It is relatively easy and straightforward to check that the following matrices are linearly independent and span as vector space over . This shows that the matrices generate as an algebra. It is instructive Read More Go to Site ABSTRACT ALGEBRA ON LINE Votes:0 WELCOME TO ABSTRACT ALGEBRA ON LINE This site contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. It is intended for undergraduate students taking an abstract algebra class at the junior/senior level, as well as for students taking their first graduate algebra course. It is based on the books Abstract Algebra , by John A. Beachy and William D. Blair, and Abstract Algebra II , by John A. Beachy. The site is organized by chapter. The page containing the Table of Contents also contains an index of definitions and theorems, which can be searched for detailed references on subject area pages. Topics from the first volume are marked by the symbol and those from the second volume by the symbol . To make use of this site as a reference, ple Read More Go to Site ABSTRACT ALGEBRA ON LINE: Contents Votes:0 ABSTRACT ALGEBRA ON LINE This site contains many of the definitions and theorems from the area of mathematics generally called abstract algebra. It is intended for undergraduate students taking an abstract algebra class at the junior/senior level, as well as for students taking their first graduate algebra course. It is based on the books Abstract Algebra , by John A. Beachy and William D. Blair, and Abstract Algebra II , by John A. Beachy. The site is organized by chapter. The page containing the Table of Contents also contains an index of definitions and theorems, which can be searched for detailed references on subject area pages. Topics from the first volume are marked by the symbol and those from the second volume by the symbol . To make use of this site as a reference, please continu Read More Go to Site Abstract State Machines Votes:0 Abstract State Machines A Formal Method for Specification and Verification Can any algorithm, never mind how abstract, be modeled by a generalized machine very closely and faithfully? ... If we stick to one abstract level (abstracting from low-level details and being oblivious to a possible higher-level picture) and if the states of the algorithm reflect all the pertinent information, then a particular small instruction set suffices in all cases. adapted from Yuri Gurevich , "Sequential Abstract State Machines Capture Sequential Algorithms" Introduction Available Materials Tools WWW/FTP Sites For Educators ASM Community What's New Search ASM'08 , 15-18 September 2008, London, UK Remembering Dean Rosenzweig Note: This site contains only non-proprietary information regarding applications of Read More Go to Site Abstract State Machines Votes:0 Abstract State Machines A Formal Method for Specification and Verification Can any algorithm, never mind how abstract, be modeled by a generalized machine very closely and faithfully? ... If we stick to one abstract level (abstracting from low-level details and being oblivious to a possible higher-level picture) and if the states of the algorithm reflect all the pertinent information, then a particular small instruction set suffices in all cases. adapted from Yuri Gurevich , "Sequential Abstract State Machines Capture Sequential Algorithms" Introduction Available Materials Tools WWW/FTP Sites For Educators ASM Community What's New Search ASM'08 , 15-18 September 2008, London, UK Remembering Dean Rosenzweig Note: This site contains only non-proprietary information regarding applications of Read More Go to Site Addison Wesley Longman Math Notes Votes:0 M athNotes.com is a valuable on-line resource for both instructors and student users of the Lial/Hornsby/Miller Paperback Series. Teachers can find materials to enhance their courses, while students can strengthen their understanding through interactive tutorials and study aids, or, they can more deeply explore concepts through real-world applications and Web links for further research. Credits Legal Notice Read More Go to Site Addison Wesley Longman Math Notes Votes:0 M athNotes.com is a valuable on-line resource for both instructors and student users of the Lial/Hornsby/Miller Paperback Series. Teachers can find materials to enhance their courses, while students can strengthen their understanding through interactive tutorials and study aids, or, they can more deeply explore concepts through real-world applications and Web links for further research. Credits Legal Notice Read More Go to Site Algebra Review in Ten Lessons Votes:0 A Note on the Retirement of D. P. Story Last Update: 02/03/2007 The usual navigation system is out, so here are direct links to the tutorial files. Main Menu (PDF): mpt_menu.pdf lesson01.pdf : Setting up the environment lesson02.pdf : Radical and Exponents lesson03.pdf : Basic Algebra, Part I lesson04.pdf : Basic Algebra, Part IU lesson05.pdf : Expansion lesson06.pdf : Dividing and Factoring Polynomials lesson07.pdf : Solving Equations and Inequalities lesson08.pdf : Cartesian Coordinate System & Functions lesson09.pdf : Functions (cont.) & First Degree Curves lesson10.pdf : Some Second Degree & Trig Curves What's New Get the Latest version of Acrobat Reader 5.0. Click on the Get Acrobat Icon above to go to the download area. Use Netscape! This is the review of Algebra in 10 lessons writte Read More Go to Site Algebra Tile Basics Votes:0 Kenneth Cole kennethcole@home.com last updated: 10 November 2000 How Algebra Tiles Work Algebra tiles work by the concept that every rectangle has a length, width and area. The length and the width are the lengths of the sides of the rectangle in some unit. The area is how many squares of that unit it takes to cover the rectangle. Let's Look at some examples: 5 . (5?7) 35 7 4 . (4?9) 36 9 7 (7?7) 49 7 Now let's change the numbers in the above rectangles to algebraic variables. Let 5 = y, 7 = x, 4 = a, and 9 = b. y (y?x) xy x a (b?a) ab b x (x?x) x 2 x 35 is represented by xy (algebraic expressions with more than one variable are normally written in alphabetical order) 36 is now represented as ab 49 is now represented by x 2 (algebraic expressions with more than one factor of the same varia Read More Go to Site Algebra Topics Votes:0 Teaching Ideas by Topics Warning: The lesson plans listed below come from a variety of different sources. Their origins are not yet labelled and the links take you directly to foreign sites. Pre-algebra Newspaper Review Unit Use of manipulatives to Pre-Algebra Three Skill For Algebra. The three skills explain why letters or symbols are favored in algebra in place of numbers. General Algebraic Ideas Expressions With Variables General Expressions With Variables Linear Expressions Non-Linear Expressions Inequalities Verbal Symbol Relations General Open Sentences Write Open Sentences Solve Open Sentences General Real Numbers and Properties Distributive Property Functions and Graphs Graphs, Stories, and Games Games, Graphs, and the NCTM Standards Interpret data and making a graph Grade 1: Chart Read More Go to Site Algebra, Abstract and Concrete Votes:0 Viewing this page requires a browser capable of displaying frames. Read More Go to Site Algebraic Areas of Mathematics Votes:0 [ Search ] [ Subject Index ] [ MathMap ] [ Tour ] [ Help! ] Algebraic Areas of Mathematics [ Return to start of tour ] [ Up to The Divisions of Mathematics ] The algebraic areas of mathematics developed from abstracting key observations about our counting, arithmetic, algebraic manipulations, and symmetry. Typically these fields define their objects of study by just a few axioms, then consider examples, structure, and application of these objects. We have included here the combinatorial topics and number theory ; each is arguably a distinctive area of mathematics but (as the MathMap suggests) these parts of mathematics, shown in shades of red, share definite affinities. The list on this page includes a rather large number of fields in the MSC scheme. It is also common to interpret the phra Read More Go to Site Algebraic Number Theory Archives Votes:0 Algebraic Number Theory Archives From: Nigel Boston <boston@math.uiuc.edu&gt Date: Wed, 8 Jan 2003 12:03:33 -0600 (CST) To: Algebraic-Number-Theory@listserv.uiuc.edu Subject: Algebraic-Number-Theory preprint archives I shall no longer be managing the Algebraic Number Theory preprint archives. The web site is now frozen and is not accepting new submissions and subscriptions. Michael Zieve has kindly agreed to assume control, with the help of Greg Kuperberg, and new submissions should be directed to the new URL for the archive, http://front.math.ucdavis.edu/ANT/ Your subscription will continue, unless you choose otherwise. I thank Dan Grayson for setting up the archives and his patient help with technical issues, and Michael and Greg for volunteering to take on this work. -- Nigel Boston Read More Go to Site Algebras and Representation Theory - Commutative Rings and Algebras Journals, Books & Online Media | Springer Votes:0 Please select Africa Asia Australia / Oceania Europe France Germany Italy North America South America Switzerland United Kingdom --> All Author/Editor Title ISBN/ISSN Series Journals Series Textbooks Contact Select your subdiscipline Algebra Analysis Applications Computational Science & Engineering Dynamical Systems & Diff. Equations Geometry & Topology Mathematical Biology Mathematical Physics Number Theory & Combinatorics Probability Theory Quantitative Finance Select a discipline Architecture & Design Astronomy Biomedical Sciences Business & Management Chemistry Computer Science Economics Education Engineering Environmental Sciences Geography Geosciences Humanities Law Life Sciences Linguistics Materials Mathematics Medicine Philosophy Physics Psychology Public Health Social Sciences St Read More Go to Site Animated algebraic surfaces Votes:0 Gallery of animated algebraic surfaces Warning. This gallery is the very beginning of a project, with only a small fraction of what is planned. The moving pictures are animated gif files, with around 200K bytes each. The quality is not very high (20 pictures of 200x200 pixels for each sequence), in a compromise to keep them within reasonable file sizes. Comments and suggestions are welcome. The development of this gallery is momentarily suspended. Quadratic surfaces Rotating paraboloid , like a traditional radar antenna. Equation: x^2+z^2=y Rotating cone . Equation: x^2-y^2=z^2 Hyperboloid of one sheet . Equation: x^2-y^2+z^2=1 Hyperboloid of two sheets . Equation: x^2-y^2+z^2=-1 Deformation of hyperboloid , which deforms from one sheet into two sheets, with a cone at the middle of the def Read More Go to Site Aquiz - Masse Quiz'er Votes:0 Aquiz - Masse Quiz'er Hjem Arkiv Kontakt Site Map Hjem Kategorier: Hjem Nye Artikler: Motormania bil quiz BMW vant DN firmabil test Enkel quiz om BMW Hvor distre er du? Nye kommentarer: Ingen kommentarer pÅ dette tidspunkt Anbefalte sider: Quiz på Start.no BMW 5 serie quiz Firma bil Leasing Motormania bil quiz James May har gitt ut en egen bil quiz dvd, han er kjent fra BBC sitt Top Gear. Her får du spørsmål om biler som Mercedes Benz, BMW, Audi, Volkswagen, Renault, Ford, Opel, Toyota og Volvo. Her har du en liten smakebit fra DVD'en. Comments (0) 26.10.2007. 02:46 BMW vant DN firmabil test Etter ni år siden siste "seier", gikk endelig BMW av med seieren i Dagens Nærigsliv sin firmabiltest for 2007. Bilen brukt i testen var en BMW 318D Touring. 12 av de største bil importørene stilte med Read More Go to Site Archived: Helping Your Child Learn Math: Table of Contents Votes:0 A r c h i v e d I n f o r m a t i o n June 1999 Table Of Contents Title Page Foreword Introduction Activities Math in the Home Fill It Up Fractured Fractions Money's Worth In the News Newspaper Search Treasure Hunt Squash That Box Simply Symmetrical Tracking Time Math at the Grocery Store Get Ready Weighing In Get into Shapes Check It Out It's in the Bag Put It Away Math on the Go Number Search License Plate Special License Plate Riddles Total It How Long, How Far? Ease on Down the Road Math for the Fun of It Guess If You Can What Are the Coins? What Are My Chances? Money Match More or Less Problem Solvers Card Smarts Let's Play Store. What Our Children Are Learning How Will Math Look in Your Child's Classroom? What You Can Do To Help Your Child Achieve in Math Resources Acknowledgments -# Read More Go to Site Archived: Middle School: Getting on the Road to Challenging Mathematics and Science Courses Votes:0 A r c h i v e d I n f o r m a t i o n Mathematics Equals Opportunity (White Paper -- October 20, 1997) Middle School: Getting on the Road to Challenging Mathematics and Science Courses "Mathematics is the language of science, and algebra is the minimum vocabulary that scientists of every discipline use to describe their work." --Dr. George Castro, Associate Dean of the College of Science at San Jose State University Laying the Foundation Algebra is the "gateway" to rigorous mathematics courses. Rigorous mathematics courses build upon the skills and concepts that students learn in earlier mathematics courses. Traditionally, students cannot take a rigorous mathematics course in high school until they have successfully completed one or more prerequisite courses. Algebra I, or another course t Read More Go to Site Art of Algebra No Longer Available Votes:0 The contents of this folder have been removed and are no longer available. May 6, 2005 Read More Go to Site BE Algebra Votes:0 W elcome to the Bittinger/Ellenbogen Hardback Series Site! Copyright © 1997 Addison Wesley Longman This series has consistently provided teachers and students with the tools and resources needed to succeed in developmental mathematics. With this revision, the author team has maintained all of the hallmark features which have made this series so successful, including its Five Step Problem Solving Process, student oriented writing style, real data applications, and variety of exercises. Among the new features they have added or revised are the Technology Connection Boxes, Collaborative Corner Exercises and World Wide Web integration (which you are experiencing right now!!). This series not only provides students with the tools necessary to learn and understand math, but also provides them wi Read More Go to Site BeitrÄge zur Algebra und Geometrie Homepage Votes:0 BeitrÄge zur Algebra und Geometrie Contributions to Algebra and Geometry ISSN 0138-4821 · Electronic Edition Managing Editors H. Martini (Chemnitz), G. Stroth (Halle), J. StÜckrad (Leipzig). The mathematical Journal BeitrÄge zur Algebra und Geometrie / Contributions to Algebra and Geometry was founded in 1971 on the occasion of the 65th birthday of O.-H. Keller. It publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields , preferably in English language. For fastest access: Choose your nearest server! Editorial Contents Volume 34 (1993): No. 1 , No. 2 Volume 35 (1994): No. 1 , No. 2 Volume 36 (1995): No. 1 , No. 2 Volume 37 (1996): No. 1 , No. 2 Volume 38 (1997): No. 1 , No. 2 Volume 39 (1998): No. 1 , No. 2 Volume 40 (1999): No. 1 , No. 2 Volume Read More Go to Site Calculator City: A Web Resource for Mathematics:Algebra, Geometry, Trigonometry, Calculus, Finance, MeasurementConverters Science: Chemistry, Physics, Astronomy Votes:0 To search all of www.1728.com, enter your search terms here then press "Enter" on your keyboard. 1728 Software Systems Calculator City &#160 Converters and calculators for &#160 Finance &#160 Geometry &#160 Algebra &#160 Trigonometry &#160 Calculus &#160 Astronomy &#160 Chemistry &#160 Physics &#160 Basic Math &#160 Miscellaneous Calculators &#160 Ultra Calculators Website Design Tools Color Selectors, Font Lists, Font Symbols, Special Characters, HTML Tutorials, HTML Character Entities, etc. Click Here Reference City Facts about: The 50 United States, U S Presidents, U S Constitutional Amendments, Oscar Winners, Wonders of The World, Chemical Elements, Morse Code, The 37 Plays of Shakespeare, Country Abbreviations, Greek Alphabet Click Here for Index Miscellaneous Stuff Puzzles, Games, Sc Read More Go to Site Calculus@Internet Votes:0 Comments Login to Mathmarks Help Calculus@Internet : Topic : Precalculus : Precalculus How do you...? Practice Area What's Needed? Ask Someone Sub-Categories Functions Graphs Algebra Trigonometry Geometry Labs and Projects Arithmetic Linear Algebra Theorems Logic Science Pedagogy Assistance Assessment Technology Curriculum Material Applications Hyperbolic Trigonometry Web Page Links - 51 through 75 The Pyramid - Dedicated to the proposition that the Great Pyramid is a rational (in the mathematical sense) structure designed and built by normal people. Algorithms for Egyptian Fractions - Algorithms for Egyptian Fractions. Unit Fraction - A unit fraction is a Fraction with Numerator 1 also known as an Egyptian Fraction. Egyptian Unit Fractions - The representation of rational numbers as sums Read More Go to Site College Algebra Votes:0 College Algebra Modules Interactive Trigonometry Software Links Interactive College Algebra (password required) Interactive Trigonometry Interactive Precalculus (password required) Links to Quizzes Click here for quizzes Daily Schedules Math110-03 F07 Corrections to the print version of College Algebra Modules 9/02. Read More Go to Site Cynthia Lanius' Lessons: Algebra - Fun with Calendars Votes:0 Cynthia Lanius Algebra - Fun with Calendars A fun mathematical puzzle to play with your friends. (Or teachers , with your class.) 18 19 25 26 Take any calendar. Tell your friend to choose 4 days that form a square like the four to the right. Your friend should tell you only the sum of the four days, and you can tell her what the four days are. How does the puzzle work? You know how people always want to see a use for algebra? Well this puzzle uses algebra. Here's what I mean. Let's pretend that the 4 numbers that the person chose were the highlighted ones here - 18, 19, 25, and 26. She adds up the four numbers and tells you only that the sum is 88. You make a couple of calculations and tell her the numbers. What calculations? Lets figure that out with algebra. Let's call the first number n Read More Go to Site dansmath - lessons page - basic skills Votes:0 dansmath > lessons > basic skills Arithmetic (The basic operations and what order to do them) Prealgebra (Introduction to symbols and expressions) Beginning Algebra (Simplifying, solving, and graphing) (c) 1997-2002 Dan Bach and B & L Math Enterprises; all rights reserved. Download for personal use only. Arithmetic [ top of page ] Click & choose a topic or just scroll & learn! The Basic Operations Exponents Order of Operations Prime Numbers Fractions (included by request!) Percentages and Decimals Square Roots The Basic Operations [ top of page ] . . . 8/97 , revised 7/98 There are four basic operations : + (addition) . . . . . .as in 6 + 2 = 8; the sum of 6 and 2 is 8. - (subtraction) . . . .as in 6 - 2 = 4; the difference of 6 and 2 is 4. x (multiplication) . as in 6 x 2 = 12; the Read More Go to Site E. Joseph Kocinski Votes:0 Traffic Problem - Solved Using Microsoft Excel 1. Statement of Problem The problem is to find the maximum number of cars passing a point in a given amount of time. This number (x) changes with a differing velocity (v) and is dependent upon the length of a car (l) and the distance between cars (d). For simplicity?s sake, an average l is set at 5m and the set time is 60 seconds. 2. Goals of Activity with Connection to NCTM Standards This activity greatly incorporates two algebra topics that NCTM has designated to receive increased attention in grades 9-12. First, the traffic problem is a real-world problem that requires the application of theory. Second, by solving this problem on Microsoft Excel, the activity uses computer utilities to develop a conceptual understanding of the information a Read More Go to Site Elab, Prime and Composite Numbers Votes:0 Grade 4, Prime and Composite Numbers What You Will Do: You will list the factors of numbers and identify which numbers are prime or composite. How You Will Use It: You can classify numbers as prime or composite by the number of factors they have. You will need to print a recording sheet to do this activity. Annotated recording sheets will be available for parents and teachers. (We're sorry, your browser doesn't support Java or Java may be turned off.) Copyright © Harcourt School Publishers. All rights reserved. Read More Go to Site Electronic Journal of Qualitative Theory of Differential Equations Votes:0 Welcome to the Electronic Journal of Qualitative Theory of Differential Equations Journal provider: Bolyai Institute, University of Szeged ISSN: HU ISSN 1417-3875 Editors in Chief: T. A. Burton ( Southern Illinois University at Carbondale, USA ) L. Hatvani ( Bolyai Institute, University of Szeged, Hungary ) Managing Editor: G. Makay ( Bolyai Institute, University of Szeged, Hungary ) If the connection is slow then try one of our mirror sites or use e-mail to access the paper on our server. General information: Purpose of this journal List of editors Subscription Information for authors Current volumes of the journal: Monograph Series 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 Proceedings of the Colloquiums on the Qualitative Theory of Differential Equations: 6'th Colloquium 7'th Col Read More Go to Site Exploring Abstract Algebra with Mathematica Votes:0 Exploring Abstract Algebra with Mathematica This page has been moved. Within ten seconds you will be transferred to http://www.central.edu/eaam/ . Read More Go to Site GCSE Maths Revision @ www.gcse.com Votes:0 This service has been re-launched! Read More Go to Site Home Page Votes:0 Math for Kids A Medieval Adventure in Problem-solving This website was designed by two fourth graders for fourth graders who want to sharpen their math problem-solving skills. If you want to practice word problems (for school or competitions like Math Olympiad or MathCounts ) learn how to solve word problems or share word problems you've written this website is for you . We really like medieval history and stories about knights, so that is the theme for all our problems. So travel back in history with us and enjoy! Take the challenge - try our word problems Learn how to solve word problems Write your own word problems for our website Links to other math websites Vote for your favorite word problem Acknowledgements Back to Thinkquest Junior Read More Go to Site Imaginary Numbers are not Real - the Geometric Algebra of Spacetime Votes:0 "> Next: Introduction Up: Introduction to Geometric Algebra Imaginary Numbers are not Real - the Geometric Algebra of Spacetime Stephen Gull (a), Anthony Lasenby (a) and Chris Doran (b) (a) MRAO, Cavendish Laboratory, Madingley Road, Cambridge CB3 0HE, UK (b) DAMTP, Silver Street, Cambridge, CB3 9EW, UK February 9, 1993 Abstract: This paper contains a tutorial introduction to the ideas of geometric algebra, concentrating on its physical applications. We show how the definition of a `geometric product' of vectors in 2- and 3-dimensional space provides precise geometrical interpretations of the imaginary numbers often used in conventional methods. Reflections and rotations are analysed in terms of bilinear spinor transformations, and are then related to the theory of analytic functions and t Read More Go to Site Index of /~kentler/Fall97_101/nojs Votes:0 Index of /~kentler/Fall97_101/nojs Name Last modified Size Description Parent Directory 09-Mar-2001 11:31 - Chapter1/ 09-Mar-2001 11:22 - Chapter2/ 09-Mar-2001 11:22 - Chapter3/ 09-Mar-2001 11:22 - Chapter4/ 09-Mar-2001 11:22 - Chapter5/ 09-Mar-2001 11:22 - Chapter6/ 09-Mar-2001 11:22 - Chapter7/ 09-Mar-2001 11:22 - Chapter8/ 09-Mar-2001 11:22 - Chapter9/ 09-Mar-2001 11:22 - allGrades.html 09-Mar-2001 11:22 2k chapterIndex.html 09-Mar-2001 11:22 1k grades.html 09-Mar-2001 11:22 5k homeIndex.html 09-Mar-2001 11:22 1k homepage.html.orig 09-Mar-2001 11:22 7k homeworkIndex.html 09-Mar-2001 11:22 1k indexTemplate 09-Mar-2001 11:22 1k pageTemplate 09-Mar-2001 11:22 3k quiz.html 09-Mar-2001 11:22 2k quiz10Results.html 09-Mar-2001 11:22 2k quiz1Results.html 09-Mar-2001 11:22 2k quiz2.html 09-Mar-2 Read More Go to Site Integers Votes:0 Integers Positive and negative integers The number line Absolute value of an integer Adding integers Subtracting integers Multiplying integers Dividing integers Integer coordinates Comparing integers Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Positive and Negative Integers Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … . We do not consider zero to be a positive or negative number. For each positive integer, there is a negative integer, and these integers are called opposites. For example, -3 is the opposite of 3, -21 is the opposite of 21, and Read More Go to Site Integers Votes:0 Integers Positive and negative integers The number line Absolute value of an integer Adding integers Subtracting integers Multiplying integers Dividing integers Integer coordinates Comparing integers Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Positive and Negative Integers Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, … . We do not consider zero to be a positive or negative number. For each positive integer, there is a negative integer, and these integers are called opposites. For example, -3 is the opposite of 3, -21 is the opposite of 21, and Read More Go to Site Interactive Mathematics Miscellany and Puzzles, Arithmetic and Algebra Votes:0 . --> G o o g l e Web CTK Sites for teachers Sites for parents Terms of use Awards Interactive Activities CTK Exchange Games & Puzzles What Is What Arithmetic/Algebra Geometry Probability Outline Mathematics Make an Identity Book Reviews Eye Opener Analog Gadgets Inventor's Paradox Did you know?... Proofs Math as Language Things Impossible Visual Illusions My Logo Math Poll Cut The Knot! MSET99 Talk Other Math sites Front Page Movie shortcuts Personal info Reciprocal links Privacy Policy Guest book News sites Recommend this site --> Sites for teachers Sites for parents Education & Parenting --> --> Interactive Mathematic Miscellany and Puzzles Arithmetic and Algebra What Is Arithmetic? What Is Algebra? (Please note that a good deal of the topics below are accompanied by interactive Java il Read More Go to Site Intro to Abstract Algebra Votes:0 Intro to Abstract Algebra 5245-46 [ambient page updated Friday, 29-Jul-2005 10:58:56 CDT] ... [ home ] ... [ garrett@math.umn.edu ] Quiz solutions (pdf): s1 ... s2 ... s3 ... s4 ... s5 ... s6 ... s7 ... s8 ... s9 The text for 5245-5246 in Summer 1998 will be My Notes (pdf) . These notes (with exercises and index) were specifically designed by me for this two-quarter sequence. We will start at the beginning of the Notes, and go approximately halfway through in 5245. The precise pace will depend on the class, and content of each quiz and homework assignment will be indicated as we go. Starred sections and starred exercises are optional. There will be 20-minute quizzes each Tuesday and Thursday in t Read More Go to Site Introduction to Algebra Votes:0 Introduction to Algebra Variables Expressions Equations Solution of an equation Simplifying equations Combining like terms Simplifying with addition and subtraction Simplifying by multiplication Simplifying by division Word problems as equations Sequences Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Variables A variable is a symbol that represents a number. Usually we use letters such as n , t , or x for variables. For example, we might say that s stands for the side-length of a square. We now treat s as if it were a number we could use. The perimeter of the square is given by 4 × s . The area of the square is given by s × s . When working with variables, it can be helpf Read More Go to Site LTP Votes:0 Math & Science Home | Proficiency Tests | Mathematical Thinking in Physics | Aeronauts 2000 9 th Grade Math Practice Questions The test does not keep track of the number right or wrong. If you want to see how you did, simply keep track of all the questions you get right the first time and divide that number by the total questions. This is the math test starting point. You can go directly to the last question you completed or if this is your first time then start by selecting question 1. **NOTE** The test was based on requirements for the the State of Ohio 9th Grade Proficiency test. Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 Please send any comments to: Web Related: David.Mazza@grc.nasa.gov Technology Related: Thom Read More Go to Site Math Forum - Ask Dr. Math Archives: Middle School Algebra Votes:0 Ask Dr. Math Middle School Archive Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ TOPICS This page: algebra Search Dr. Math See also the Dr. Math FAQ : order of operations Internet Library : basic algebra T2T FAQ : algebra help MIDDLE SCHOOL About Math Advanced Investigations --> Algebra equations factoring expressions graphing equations Arithmetic division exponents factorials factoring numbers fractions/percents logarithms Definitions Geometry 2-dimensional conic sections/ circles triangles/polygons 3D and higher polyhedra History/Biography Logic Measurement calendars/ dates/time temperature terms/units Number Sense factoring numbers negative numbers pi prime numbers square roots Probability Puzzles Ratio/Proportion Statistics Word Problems Browse Read More Go to Site Math Forum - Suzanne Alejandre: Algebraic Factoring Votes:0 --> A Math Forum Web Unit Suzanne Alejandre's Understanding Algebraic Factoring Vocabulary, Objectives, Materials Back to Suzanne's Math Lessons || Check out Suzanne's Tessellation Lessons Students sometimes think algebra and geometry are two static, unrelated subjects that were "invented" by some historical figure and appear in books but have no redeeming value or purpose. One way to make these topics more meaningful and less mysterious is to look at the words themselves. algebra 'ilm algebra wa'lmugabalah (Arabic) The science of redintegration and equation = The reunion of broken parts. redintegration = The process of making whole again OR restoring to a perfect state. geometry geo (Greek) = earth metron (Greek) = measure The measurement of the earth. factor factere (Latin) = to do or ma Read More Go to Site Math Forum - Suzanne Alejandre: Factor Lesson Votes:0 --> A Math Forum Web Unit Suzanne Alejandre's Understanding Factoring through Geometry Objectives & Goals Back to Suzanne's Math Lessons || Check out Suzanne's Tessellation Lessons Objectives: Students will display a numeral as the area of a rectangle. Students will make as many rectangular arrangements as possible for each numeral given. Students will work cooperatively with a partner. Goals: Students will be able to visualize all the possible rectangles formed by the number of square units given. They will associate the word factor to mean the different lengths and widths of these rectangles. Example: When they hear " 5 " they will think Example: When they hear " 6 " they will think: Students will understand: Some numbers can only be represented by two different rectangles that have eith Read More Go to Site Math Forum: Algebra & Calculus Sketches - Ruth Carver Votes:0 --> The Math Forum - Corner for Interactive Geometry Software Algebra and Calculus Sketches by Ruth Carver Sketchpad Resources || Main CIGS Page || Teacher Exchange: Forum Web Units Viewing sketches on this page requires The Geometer's Sketchpad. For information about purchasing the software, downloading demo versions, and setting up Sketchpad as a helper application for your Web browser, see the Forum's Dynamic Geometry Software page. Algebra Line Sketch One line, Y=X, is fixed. You can manipulate the position of another line, Y=MX+B, by altering the values of M or B. There are also questions to go with this graph. Parabola Sketch 1 Similar to the first graph, here there's a fixed parabola Y=X^2, and one to experiment with, Y=AX^2+C. Parabola Sketch 2 Change even more variables by compari Read More Go to Site Math Forum: Allan Adler - What is a Magic Square? Votes:0 --> A Math Forum Web Unit Allan Adler's What is a Magic Square? Suzanne's Magic Squares || Multiplying Magic Squares: Contents || Exploring the Math Definition, Special Properties A magic square is an arrangement of the numbers from 1 to n^2 (n-squared) in an n x n matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. It is not hard to show that this sum must be n(n^2+1)/2 . The simplest magic square is the 1x1 magic square whose only entry is the number 1 . The next simplest is the 3x3 magic square and those derived from it by symmetries of the square. This 3x3 square is definitely magic and satisfies the definition given above. The 4x4 DÜrer magic square (or, what is essentially the same, the 4x4 ma Read More Go to Site Math Forum: Allan Adler's Multiplying Magic Squares Votes:0 --> A Math Forum Web Unit Allan Adler's Multiplying Magic Squares Suzanne's Magic Squares || Multiplying Magic Squares: Contents || Exploring the Math Objectives: [ NCTM Standards : Number and Operations, Communication, and Connections] Students will work with arrays of numbers. Students will calculate and compare sums of numbers in the context of magic squares. Students will learn a method for multiplying two magic squares. Materials: Overhead transparencies or handouts: Multiplying Two Magic Squares The Product: 12x12 Magic Square 12x12 Magic Square in 3x3 Blocks Empty 4x4 Grid Step One Step Two Step Three Blank paper Blank overhead transparency and pens Rulers Calculators Selecting Two Magic Squares Consider two magic squares at random, A and B . Note: If the students have had limited e Read More Go to Site Math Forum: K-12 Algebra Votes:0 --> K-12 Algebra Back to Math by Subject Math by Subject K12 Topics algebra arithmetic calculus discrete math geometry pre-calculus prob/stat Advanced Topics analysis calculus diff. equations game theory discrete math geometry (coll.) geometry (adv.) linear algebra modern algebra num. analysis K-12 Internet Algebra Resources See also the Math Forum's Internet Mathematics Library: Basic Algebra . Classroom materials for teachers and students Selected algebra Internet resources for the classroom including lesson plans, activities, and interactive resources. Software for algebra Publicly available software and publishers online. Internet projects Activities for students and lovers of algebra. Public forums for discussing algebra Mailing lists and newsgroups sponsored by the Forum and others w Read More Go to Site Math Forum: Suzanne Alejandre: Magic Squares Votes:0 --> A Math Forum Web Unit Suzanne Alejandre's Magic Squares Suzanne's Math Lessons || Suzanne's Tessellation Lessons Magic squares received their name because there are so many relationships between the sums of the numbers filling the squares. Students often believe that "mathematics" was "written" by one person. In these pages you will find that the magic square mathematical game has existed throughout history and in many different parts of the world. Math is all around us and your mind will see it when you're ready! What is a Magic Square? Allan Adler defines and discusses some special properties of magic squares. Magic Squares - History, Mathematics, Geography Lo Shu Magic Square The Back of the Divine Tortoise Classroom Activity China - the country of Lo Shu Albrecht DÜrer's Magic Squa Read More Go to Site Math Forum: Suzanne Alejandre: Math Lessons Votes:0 Suzanne's Mathematics Lessons Check out Web Workshop Ideas || Suzanne's Home Page 1995-2000 version || Standards aligned list - full version Number & Operations NCTM Content Standard: Number & Operations understand numbers understand meanings compute fluently Algebra NCTM Content Standard: Algebra understand patterns represent and analyze use mathematical models analyze change Data Analysis & Probability NCTM Content Standard: Data Analysis & Probability statistical methods inferences and predictions basic probability concepts Measurement NCTM Content Standard: Measurement understand measurable attributes apply appropriate techniques, tools, and formulas Other Resources NCTM Content Standards: Grades 6-8 Problem Solving, Reasoning and Proof, Communication, Connections and Representation Ge Read More Go to Site Math Nerds Free Math Help and Tutoring Votes:0 Home Best Texans Volunteer Logout Archive Ask a Question! Client Login Contact Us FAQ Guestbook Home Legal Links Sponsors Team Members Volunteer Haga click aquí para ver esta página en Español. Ask the MathNerds a question! Click here to ask us a question. What is MathNerds? MathNerds provides Free , discovery-based, mathematical guidance via an international, volunteer network of mathematicians. MathNerds does not supply answers to homework, take home tests and the like; rather, we provide hints , suggestions , and references to help our clients understand and solve their mathematical problems. Our team members are unpaid volunteers whose only compensation for their efforts are the "Thank You" messages from our clients. Please read our privacy policy . What's New at MathNerds!! Dual Langu Read More Go to Site Math Resources Votes:0 The EMR (Exercises in Math Readiness) pages have moved. Please wait a few moments while you are redirected to the correct page. If you are not redirected please click here . Read More Go to Site Math Self-Assessment Test - Fall 1999 Votes:0 Math Self-Assessment Test?Fall 1999 Which Math Class Should You Take Next Semester? Are you trying to decide which math class to enroll in next term? Your ACT score is what places you in a math class, but many students wonder whether they can skip ahead to another course. Unfortunately, many students are not ready for the course that they select and fail their first college math class. This self-assessment test can help you decide which is the right class for you to take--so you can have the best chance at succeeding. Math 120, Intermediate Algebra Do you know the difference between an algebraic expression and an equation ? Can you factor polynomials? Can you solve a quadratic equation? If not, these are some of the things you will learn in Math 120. A solution to an equation is a number o Read More Go to Site MathDork Algebra Lessons - Lesson List and Demo Lesson Pointer Votes:0 Know the best way to study for a Math test? Review your homework, but don't try to memorize anything? Then go to bed early! "The Basics of Positive and Negative " View Free! Lessons Included in the Download Purchase all Lessons 1. Commutative Property 2. Associative Property 3. Distributive Property 4. Golden Rule of Algebra 5. Order of Operations 6. Absolute Value 7. Signed Numbers - Concepts 8. Signed Numers + and - 9. Exponents - Introduction 10. Exponents - When Dividing 11. Exponents - Power to a Power 12. Identifying Like Terms 13. Combining Like Terms 14. Substitution 15. Introduction to Variables 16. Solving by + and -. 17. Solving by X and ÷ 18. Multi-Step Solving 19. Factoring 20. Graphing - The Basics 21. Graphing Solution Pairs 22. Graphing a Line 23. Basic of Read More Go to Site mathPAD Online Votes:0 mathPAD Online The Magazine of the MuPAD Research Group, Vol. 16, Year 2007 CURRENT ISSUE Cover page Editorial Table of contents Cover article Contact About Credits Back issues SECTIONS Articles Tutorials MuPAD Events MuPAD Graphics MuPAD Books Related Links RESOURCES Conferences Other resources In This Issue of mathPAD Online Changing the way we teach and students learn by Dr. Fred Szabo This paper captures the three phases of evolution of cs with technology over the last fifteen years: from lectures, to lab, and laptops. I discuss some experiences, both good and bad, that have made me a convinced advocate for the prudent integration of technology into the academic process. >read more > RECSAM Hands-on Workshop on Technology for Secondary/College Mathematics SEAMEO RECSAM stands for Read More Go to Site McCune @ UNM Votes:0 McCune @ UNM Your request for http://www.mcs.anl.gov/~mccune/ or one of its subpages has been redirected here. My primary research affiliation has changed to the Computer Science Department at the University of New Mexico. The Web page you are looking for can probably found by going to My home page at UNM . Quick Links: McCune Home Page at UNM Prover9 and Mace4 Otter and Mace2 Web Pages Associated with Papers Read More Go to Site Mersenne Prime Search Votes:0 GIMPS Home Page September 2006: New Mersenne Prime! Pages available in Chinese , Danish , Dutch , French , German , Italian , and Spanish . Warning: These translations may not be up-to-date - use AltaVista as necessary. 44th Known Mersenne Prime Found!! Lightning strikes twice. On September 4, 2006, in the same room just a few feet away from their last find, Dr. Curtis Cooper and Dr. Steven Boone's CMSU team broke their own world record , discovering the 44th known Mersenne prime, 2 32,582,657 -1. The new prime at 9,808,358 digits is 650,000 digits larger than their previous record prime found last December. However, the new prime falls short of the 10 million digits required for GIMPS to claim the Electronic Frontier Foundation $100,000 award . With five record primes found in less than 3 Read More Go to Site Microsoft lesson plans for students and educators Votes:0 Quick Links | Home | Worldwide Search Microsoft.com for: Search for Education All Microsoft.com Home At School Product Tutorials Lesson Plans How-to Articles Solutions and Services Product Center How to Buy Partners in Learning Education Programs Worldwide Education Partners Contact Us Home > At School Microsoft lesson plans for students and educators Find new ways to enhance student learning through technology. Click the links below to view lesson plans from Microsoft by subject that cover grades K-12. Geography • Giants of the century • Globalization comes to the table • Life along the Ring of Fire • Map reading in the 21st century • Take a road trip History • Archaeological finds • Current currencies • History and culture through food & Read More Go to Site More questions enlarged, Algebra and Fractions Votes:0 A thread from the Geometry Forum newsgroup archive More questions enlarged, Algebra and Fractions Back to geometry.pre-college || Search topics || All Newsgroups More questions enlarged by Johnny Hamilton on 08/12/95. Re: More questions enlarged by Andrei TOOM on 08/12/95. Re: Algebra & Fractions by Andrei TOOM on 08/13/95. Re: Algebra & Fractions by Marge Cotton on 08/13/95. Re: More questions enlarged by Marge Cotton on 08/13/95. Re: Algebra & Fractions by Lou Talman on 08/13/95. Re: Algebra & Fractions by Marge Cotton on 08/13/95. Re: Algebra & Fractions by Marge Cotton on 08/14/95. Re: algebra? by Judith Haemmerle on 08/15/95. Re: algebra? by Tracy L. Rusch on 08/15/95. Re: Algebra & Fractions by Michael Keyton on 08/15/95. Suggestion Box || Home || Steve's Dump || Help Desk || Quick R Read More Go to Site Move to www.jmilne.org/math/ Votes:0 My mathematics site has moved to www.jmilne.org/math J.S. Milne Read More Go to Site Netlib Master Index Votes:0 Netlib Master Index Netlib Master Index lib ../a for algorithms for numerical approximation editor Eric Grosse master ornl.gov lib ../access for netlib access tools, such as unshar editor Eric Grosse master ornl.gov lib ../aicm for selected material from Advances in Computational Mathematics # journal published by Baltzer master ornl.gov lib ../alliant for programs collected from Alliant users editor Jack Dongarra master ornl.gov lib ../amos for Bessel functions of complex argument and nonnegative order , The Bessel functions H1, H2, I, J, K, and Y, as well as the , Airy functions Ai, Bi, and their derivatives are provided. , Exponential scaling and sequence generation are optional. by D.E. Amos ref ACM TOMS 12 (1986) 265-273 algorithm 644 master ornl.gov lib ../ampl for linear and nonline Read More Go to Site Problem solving for 3rd-4th to 12th grade Votes:0 The next generation of problem solving Seize the moment! K3-4 through K-12 problems. Concept-based problem solving. Learning through problem solving. A extensive sequence of algebra problems will be developed in this file. These will be listed in the order of grade level from 3rd to 12th grade. The problems are from a variety of hard copy and electronic sources. The source is identified with each problem. The sources referenced provide additional problems and problem solving instruction. These pages serve to extending the value of these materials by explicitly using the problem solving process. Apply the reliable problem solving process shown in these examples to the word problems in any text or other teaching material and become an expert problem solver. 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Relational Algebra Express queries by applying specialized operators to relations. 2. Relational Calculus Queries describe a desired set of tuples by specifying a predicate the tuples must satisfy. Relational algebra is an abstract language, by which we mean that it is not possible to execute queries formulated in relational algebra on an actual computer. We use relational algebra in order to express in the simplest form, the set of operations that any relational database query language must perform. These basic operations ar every helpful in understanding SQL queries. Basic Operations Union (R U S) Set of tuples that are in R or S or both. * R and S must have the same structure Difference (R - S) * Set of tuples in R but not in S. Intersection Cartesian Prod Read More Go to Site QuickMath Algebra Votes:0 QuickMath Algebra The command has been re-located. You should be automatically redirected to the new page in 5 seconds. If this does not work, please use this link : QuickMath Algebra Read More Go to Site Recognizing Numerical Constants Votes:0 Recognizing Numerical Constants Recognizing Numerical Constants by David H. Bailey and Simon Plouffe A list of math activations A list of related links A linked list of keywords Abstract Introduction The PSLQ Integer Relation Algorithm Applications of the PSLQ Algorithm Numerical Techniques Application of PSLQ to Euler Sums New Formulas for Pi and Related Constants A General Constant Recognition Procedure References About this document ... Read More Go to Site Richard L. Meehan Votes:0 Richard L. Meehan Richard Meehan has civil engineering degrees from M.I.T. and Imperial College, University of London. Following active duty with the U.S. Army Corps of Engineers and construction experience in Southeast Asia in the early 1960s he worked on geotechnical and underground engineering projects in various urban areas. From 1969 to 1985 he was president of Earth Sciences Associates, a consulting engineering firm specializing in facility siting, evaluation and correction of geotechnical problems. He has maintained a California-based consulting engineering practice and taught at Stanford University for the past twenty five years. During the year 2003-2004 I will be spending much of my time in Southeast Asia. Best way to get in touch with me is by email, meehan@stanford.edu , I can Read More Go to Site S.O.S. Math - Algebra Votes:0 S.O.S. Homepage | Trigonometry | Calculus | Differential Equations Complex Variables | Matrix Algebra | Tables | CyberExam CyberBoard Search our site! S.O.S. Math on CD Sale! Only $19.95. Works for PCs, Macs and Linux. Tell a Friend about S.O.S. Books We Like Math Sites on the WWW S.O.S. Math Awards Who are we? Copyright & Disclaimer Privacy Concerns? We recommend: Fractions Before You Start Reminder Simple Fractions Complex Fractions Compound Fractions Converting Decimals to Fractions Converting Percentages to Fractions or Decimals Summary of Rules Units of Conversion Linear Measure Square Measure Cubic Measure Nautical Measure Dry Measure Liquid Measure Nautical Measure Apothecaries Fluid Measure Nautical Measure Circular (or Angular) Measure Avoirdupois Measure Troy Weight Apothecaries Read More Go to Site S.O.S. Mathematics - CyberExam Votes:0 S.O.S. Mathematics - CyberExam Intermediate Algebra This page is a place for students and educators to check out sample tests, midterm exams, final exams, quizzes, projects, etc... in Intermediate Algebra . The exams will be organized by topics: Multiple Choice Quizzes (20 questions each) Quiz Content Sample Quizzes Coordinates, lines Quiz Lines, absolute values, polynomials Quiz Graphs of lines, factoring, polynomial division Quiz Rational expressions, quadratic equations with "word problems", geometry Quiz Polynomials, factoring, exponential expressions Quiz Polynomials, systems of linear equations, word problems Quiz Rational expressions (fractions) Quiz Rational expressions, quadratic equations with "word problems", roots Quiz Quadratic equations and applications, Inequalities Quiz Bac Read More Go to Site SciFace Software - Mathematics mastered with MuPAD Pro Votes:0 Home Login Home Login Search Contact Company Print version Deutsch Suchen Kontakt Unternehmen Druckversion English Industry & OEM Research Education Support Products Download Purchase Industrie & OEM Forschung Lehre Support Produkte Download Kaufen Mathematics mastered with Mu PAD Pro Mathematik im Griff mit Mu PAD Pro Our Competence is your Success! Unsere Kompetenz ist Ihr Erfolg! Mathematics mastered with Mu PAD Pro Mathematik im Griff mit Mu PAD Pro Our Competence is your Success Unsere Kompetenz ist Ihr Erfolg Customers in industry solve mathematical and technical problems with Mu PAD Pro , e.g. in mechatronics. Software developers use Mu PAD OEM as mathematical and visual backend in engineering products, scientific publishing systems, educational software and other products. Industri Read More Go to Site scrtec.org Votes:0 scrtec.org Click here to go to scrtec.org . Read More Go to Site scrtec.org Votes:0 scrtec.org Click here to go to scrtec.org . Read More Go to Site Solving the Quintic with Mathematica Votes:0 Solving the Quintic with Mathematica The quintic poster (27 in. by 38 in.) is available for purchase. Order here . Click somewhere on the poster to zoom in, or make a selection from the table of contents below it. Solving the Quintic The impossibility of solving general quintics in radicals Tschirnhaus's transformation Klein's approach to the quintic Solutions based on series Solutions based on differential equations Equations of higher degree Steps to the Quintic Quadratic equation Cubic equation Quartic equation Quintic equation The program An example A Short History 15th Century 16th Century 17th Century 18th Century 19th Century 20th Century Hypergeometric Functions Theta Functions Riemann Surface About the Poster (Credits) © 2007 Wolfram Research, Inc. • Terms of Use • Priva Read More Go to Site Superliminal Software Votes:0 Superliminal Software Superliminal (su'per-lim ' in-al), adj . 1. Opposite of subliminal. That which rises above the limit or threshold. 2. Ideas or perceptions above the conscious level. I.E. that which imposes itself on the conscious mind as opposed to thoughts or stimuli not fully perceived. 3. That which is fully understood or appreciated. 4 . Beyond the limit or limits. Just as nine tenths of an iceberg is always under water, so too most thoughts and ideas swim below the level of consciousness. While the purpose and workings of that greater part called the subconscious mind are therefore obviously of great importance, this site is dedicated to the beautiful fractional part that rises above the sea of consciousness. . Personal pages Melinda Green Twinkie Art Buddhabrot Hyperstereo Aeri Read More Go to Site The 3x+1 problem and its generalizations Votes:0 The 3x+1 problem and its generalizations*** Jeff Lagarias AT&T Bell Laboratories Murray Hill, New Jersey Math activated text Other available formats Related links Author biography Abstract: (taken from the Introduction) The 3x+1 problem, also known as the Collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm , and Ulam's problem , concerns the behavior of the iterates of the function which takes odd integers n to 3n+1 and even integers n to n/2 . The 3x+1 Conjecture asserts that, starting from any positive integer n , repeated iteration of this function eventually produces the value 1 . The 3x+1 Conjecture is simple to state and apparently intractably hard to solve. It shares these properties with other iteration problems, for example that of aliquot sequences and wi Read More Go to Site The Mandelbrot Competition Votes:0 Please visit us at web.mandelbrot.org . Read More Go to Site The Prime Pages (prime number research, records and resources) Votes:0 Search FAQ E-mail list References Comment Curios Awards Privacy Record: GIMPS found: 2 32582657 -1 , 44th known Mersenne (over 9.8 million digits!) Found Sept. 6, 2006 The Largest Known Primes Database The "Guinness book" of prime number records! Includes the 5000 largest known primes and smaller ones of selected forms ( one-page summary ) updated hourly! What are the Prime pages? Webster's New Collegiate Dictionary defines prime as follows. prime \'prim\ n [ ME , fr. MF , fem. of prin first, L primus; akin to L prior ] 1 : first in time : ORIGINAL 2 a : having no factor except itself and one <3 is a ~ number> b : having no common factor except one <12 and 25 are relatively ~> 3 a : first in rank, authority or significance : PRINCIPAL b : having the highest quality or Read More Go to Site The Way Algebra Works Votes:0 Understanding Algebra The Way Algebra "Works" by Rick Garlikov If you are having difficulty with algebra, these pages may be of some help because they offer different sorts of explanations, in some sense more "psychologically complete", than are usually found in algebra texts. It is my belief that the way algebra is typically presented to students leaves out some ideas and explanations that are helpful, even sometimes necessary, for them to be able to do algebra well and to have a "feel" for it. There are at least three different kinds of things taught in algebra courses: (1) language conventions, (2) logical numerical manipulations using those conventions, and (3) deducing answers to problems by using the conventions and the logical manipulations of them. I will explain as I go. But it is Read More Go to Site ThinkQuest : Site Unavailable Votes:0 Think.com ThinkQuest Library Library Competition Website Currently Unavailable We're sorry, but the ThinkQuest Library site you are trying to access is currently unavailable. It has been taken offline for maintenance. We appreciate your patience and apologize for any inconvenience this may cause. The ThinkQuest Library includes over 5000 educational websites on hundreds of different topics. Please visit the ThinkQuest Library to see if one of the other sites includes the information you need. If you are the creator of this site and you have additional questions, please contact us and be sure to provide your teamID or the url of your site. Unfortunately, we will not be able to help if you do not include the name of the site, url, or teamID to help us identify the site. Thank you for your pa Read More Go to Site Untitled Document Votes:0 Clifford.org is temporarily unavailable due to host failure. We've moved to another ISP and will reconstruct the web site as soon as possible. Please direct any correspondence to: clifford@clifford.org Read More Go to Site UWMC WWW Server : Notes for College Algebra and Geometry - Maheswaran Votes:0 Notes for College Algebra and Geometry These are Notes for College Algebra and Geometry prepared by M. Maheswaran, Department of Mathematics, University of Wisconsin - Marathon County. CONTENTS Solving Applied ("Word") Problems . Solving Absolute Value Inequalities Solving Rational Inequalities . Graphing Rational Functions . Graphing Conic Sections . Solving Applied ("Word") Problems When you have to solve applied problems or " word problems " the following stepwise procedure will be very helpful: Read the problem carefully - as many times as you need to understand the information and the question. Introduce a letter to denote an unknown quantity. Usually, this quantity is what you have to evaluate. Write a formula or equation that connects the quantities appearing in the given informatio Read More Go to Site Web search Votes:0 Click here to proceed. Read More Go to Site

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