 Fascinating Flat Facts about Phi  Ron Knott
Phi and twodimensional geometry  constructing the golden section: phi, Phi; Phi and the root5 rectangle; the shape of a piece of paper; Phi and the pentagon triangles; Penrose tilings; a rectangle/triangle dissection problem; the Golden Spiral; trigonometry
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 Fashioning a World Brain  Ivars Peterson (MathLand)
When Peterson read about a revolutionary means of storing and distributing information, he couldn't help thinking about the current explosion of activity in electronic publishing, the Internet, and the World Wide Web. But the words were actually written
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 Fast Arithmetic Tips  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Specific tips for three broad categories of rapid math: offensive (for the purpose of getting a result fast), defensive (for the purpose of discounting a result fast), or entertaining (for stunning your friends with math magic!). The entertaining category
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 FasterThanLight Math!
Free animated 3D math videos in algebra, geometry, trigonometry, word problems on related rates, and more. FasterThanLight (FTL) Math tailors courses or tutoring sequences based on student needs and math skill levels. It guarantees improvements on SAT
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 Fast Facts (Math On Line)  D. Kell; Mercer County Community College
Link listings for math concepts, from whole numbers and fractions to advanced equations, logic, and probability.
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 FastFig  FigLabs, Inc.
Makers of free apps for evaluating, formatting, editing, and sharing math on any Internetconnected device.
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 Fast Food Combinations  Math Forum, Ask Dr. Math FAQ
How many possible combinations can be made from a special menu of eight items?
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 Fathom and Tinkerplots  Math Forum
A discussion group to foster communication within the Fathom and Tinkerplots user community. Topics appropriate for discussion include how to use Fathom and Tinkerplots effectively in teaching mathematics, statistics, and data analysis; problems (both
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 A Faulty Dissection  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A deceptive dissection implemented in Java. Two different rearrangements of the same four plane pieces result in rectangles of different area. A very entertaining introduction into the subject of Fibonacci numbers.
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 fbWebTutor: Online Nachhilfe in Mathematik  fbWebTutor
Download video tutorials on mathematics, information and book reviewsall in German.
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 Feature Column: Monthly Essays on Mathematical Topics  American Mathematical Society (AMS)
Feature columns on new discoveries or interesting connections in mathematics, by David Austin, Bill Casselman, Joe Malkevitch, Tony Phillips, and Steven Weintraub.
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 Federal Reserve Bank of Philadelphia
The Federal Reserve Bank has nine billion dollars in its vaults, and on an average day it destroys $20 million in unfit currency. At the Money in Motion exhibit you can explore the theoretical and mathematical realms of interest rates, inflation, and
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 Federal Resources for Educational Excellence (FREE)
A site for finding federallysupported educational resources. There are subject listings (including Mathematics) and a search engine, favorite sites (reviewed by users), more sites for students, comments and feedback forms, and the opportunity to be a
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 Federal Statistical Office Germany
The statistics department of the German government. Press releases; socioeconomic data, with brief articles and key statistics; tables of recent economic figures; population data for other countries; the purchasing power of the deutschemark. Methodological
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 The Feeling of Power  Isaac Asimov
Science fiction that explores a time when only computers know how to multiply. "...seven times three is twentyone." "And how do you know that?" asked the congressman. "I just remember it. It's always twentyone on the computer. I've checked it any number
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 Fermat's Last Theorem  David Shay
Site contents: The birth of the problem; Proofs for special cases; First steps in general proofs; The computer enters the picture; Is there a proof at all?; There are bigger problems; There are failures too; TaniyamaShimura conjecture; Here is the proof!;
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 Fermat's Last Theorem (FLT)  Math Forum, Ask Dr. Math FAQ
What is the current status of Fermat's Last Theorem?
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 Fermat's Last Theorem  MacTutor Math History Archives
Essay describing Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles).
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 Fermat's Last Theorem Poetry Challenge  Jeremy Teitelbaum
The proof of Fermat's last theorem by Andrew Wiles and Richard Taylor was presented to an audience of over 300 people during a tenday conference at Boston University in August, 1995. At that conference, Jeremy Teitelbaum issued a poetry challenge asking
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 Fermat's room  Javier Martín
Solve puzzles playing this Java math adventure game, also available in Spanish. Based on a film by the same name.
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 FermiEffect.com  Alice Caton
Links to biographies of Enrico Fermi and his granddaughters, computers and chaos theory, Fermi questions, and the Fermi paradox.
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 Fermilab Education Office
Online explorations for students and teachers, plus information about field trips to Fermilab, student collaborations with Fermilab, student and teacher workshops, and links to other math and science education resources.
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 Fermi Questions  Sheila Talamo
Fermi questions emphasize estimation, numerical reasoning, communicating in mathematics, and questioning skills. Students often believe that "word problems" have one exact answer and that the answer is derived in a unique manner. Fermi questions encourage
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 Ferris Wheel  Jim King, University of Washington
Physical devices can be modeled using dynamic geometry. A vital tool for moving objects around in the model are the isometries, or distancepreserving transformations. This model of a Ferris wheel provides a good example. A stepbystep description of
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 A Few Aspects of Cryptology  David Hamer
Read about cipher machines such as Enigma, Geheimschreiber, NEMA, SIGABA and others; visit the gallery showrooms of the Crypto Simulation Group (CSG), a group of historians and researchers in the field of cryptology; download sample simulators and published
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 FFTW  Matteo Frigo and Steven G. Johnson
FFTW is a C subroutine library for computing the discrete Fourier transform (DFT) in one or more dimensions, of arbitrary input size, and of both real and complex data. Download FFTW; read about its features; subscribe to its mailing list for announcements.
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 Fibonacci at Random  Ivars Peterson  Science News Online
In a book completed in 1202, mathematician Leonardo of Pisa (also known as Fibonacci) posed the following problem: How many pairs of rabbits will be produced in a year, beginning with a single pair, if every month each pair bears a new pair that becomes
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 Fibonacci  James Grant
Pages about Fibonacci the mathematician, the sequence that bears his name and its relationship to the Golden Ratio, as well as how the Fibonacci numbers occur in nature.
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 Fibonacci Numbers and Nature  Ron Knott
Fibonacci and his original problem about rabbits that gave the series its name; the family trees of bees; the golden ratio and the Fibonacci series; the Fibonacci Spiral and sea shell shapes; branching plants; flower petal and seedheads; and the leaf
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 Fibonacci Numbers and the Golden Section  Ron Knott
Information about the Fibonacci series, including a brief biography of Fibonacci, the numerical properties of the series, and the ways it is manifested in nature. Fibonacci numbers are closely related to the golden ratio (also known as the golden mean,
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 Fibonacci Numbers and the Pascal Triangle  Radoslav Jovanovic
Brief articles about Pascal's triangle, Fibonacci numbers, Lucas numbers, and the golden section, including the relations between Fibonacci numbers and Pascal's triangle, and Fibonacci numbers and the golden section. In English, German, or Serbian.
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 The Fibonacci Numbers  David Schweizer; Math Department, College of the Holy Cross
A directory of material related to the Fibonacci numbers. Math material  the Fibonacci numbers' appearance in the Mandelbrot set; the first 500 Fibonacci numbers in blocks of 100; factorizations; Web resources.
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 The Fibonacci Numbers, Pineapples, Sunflowers, and the Golden Mean  Don Cohen (The Mathman)
Mathematics from a Pineapple: Infinite sequences, limit of a sequence, ratios, fractions, and decimals. Also Looking at a Regular Pentagon. Sample problems with some answers from Chapter 7 of Don Cohen's worksheet book.
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 The Fibonacci numbers  Ron Knott
The Fibonacci series; The first 100 Fibonacci numbers, completely factorised .. and, if you want more ... Fibonacci numbers 101300 and 301500 (not factorised).
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 A Fibonacci Primer (SMILE)  Larry Freeman, Kenwood Academy
A lesson designed to challenge teachers and students to discover and prove some
interesting properties of the Fibonacci sequence and its unexpected relation to the geometry of the regular pentagon and the theory of limits. From the Recreational and
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 Fibonacci Rabbit Sequence  Ron Knott
One way to look at Fibonacci's Rabbits problem gives an infinitely long sequence of 1s and 0s, the Fibonacci Rabbit sequence: 1 0 1 1 0 1 0 1 1 0 1 1 0 ..., also called the Golden string or Golden sequence since it is a close relative of the number Phi,
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 Fibonacci's Chinese Calendar  Ivars Peterson (MathTrek)
In a book completed in 1202, mathematician Leonardo of Pisa (Fibonacci) posed the problem: How many pairs of rabbits will be produced in a year, beginning with a single pair, if every month each pair bears a new pair that becomes productive from the second
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 The Fibonacci Series  Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999
The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci
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 Field Guide to Functions (Web Study Guide)  Oregon State University (OSU) Math Department
This field guide contains a quick look at the functions commonly encountered in single variable calculus, with exercises for each topic: linear, polynomial, power, rational, exponential, logarithmic, trigonometric, and piecewise functions. Also algebraic
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 A Field Guide to the Orbifolds (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Tongueincheek hints for learning how to classify the 17 types of symmetry patterns in the Euclidean plane. "...information presented in this section has been gleaned from a cryptic manuscript discovered among the personal papers of John Conway after
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 FifthGrade Empathy ... For Plants  William E. Ray; Kodak
Children were introduced to this project by taking them outside Pinoak Elementary School, Oil City, PA, in March and having each pair of them select a living
plant specimen. Buds were noticed as being a part of each plant and were the plant parts which
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 Figure Five Frenzy  ridiculopathy.com
Create an arithmetic expression equal to the target number using the four basic operations, grouping parentheses, and the five number cards dealt to you. Play in arcade (against a timer), multiplayer, or solitaire modes. Requires the Flash plugin.
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 Figures and polygons  Mark Motyka, Math League Multimedia
Definitions and illustrations: Polygon; Regular polygon; Vertex; Triangle; Equilateral triangle; Isosceles triangle; Scalene triangle; Acute triangle; Obtuse triangle; Right triangle; Quadrilateral; Rectangle; Square; Parallelogram; Rhombus; Trapezoid;
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 FillItIn Outline Mathematics  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A collection of outline solutions to various problems: word and logic problems, problems from arithmetic, number theory and geometry. Solutions are practically complete with a few essential pieces omitted and to be filled in by the student.
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 Filmer V2.0  A program for creating fractal animation  Julian Haight
Filmer is a frontend program for Fractint (for DOS/Windows) that generates fractal animations. Fractint is a program for calculating still fractal images (you need Fractint installed to use Filmer). Filmer uses Fractint parameter (.par) files to specify
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 Financial Calculators  Fair Isaac Corporation
Calculators to help you make decisions about borrowing money, debt pay off and savings; organized into mortgages, autos, loans, debit and credit cards, savings, personal finances, investments, and retirement planning. For example, use the loan savings
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 Financial Education  EverFi
Makers of interactive financial literacy learning and gaming platforms such as Vault, Everfi, and Buttonwood.
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 Financial Literacy Math Quizzes  HowToSaveMoney.me
Quizzes for practicing addition and subtraction of dollar and coin amounts, presented with pictures of US currency or as numerical expressions. "Grade My Quiz" or generate new problems with the click of a button. The site also offers finance calculators,
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 Financial Noise  Ivars Peterson (MathTrek)
The conventional view of stock markets and their behavior is that the price of a stock reflects all the information available on that stock. In this model, any variations in price would correspond to the arrival of new information. Some of that information
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 Financing Retirement Payments in the Future in Austria: Some Scenarios  Erich Neuwirth
An interactive spreadsheet to download for studying the effects of changing the retirement age. (Microsoft Excel 5.0 or higher must be installed on your computer.) The key number for judging the financiability of a retirement payment system is the ratio
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