The On-Line Encyclopedia of Integer Sequences Enter a sequence, word, or sequence number: Clear | Hints | Advanced look-up New versions: French, German, Swedish. For information about the Encyclopedia see the Welcome page. Lookup | Welcome | Francais | Demos | Index | Browse | More | WebCam Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics More pages | Superseeker | ...

Fibonacci numbers and the golden section in nature, art, geometry, architecture, music and even for calculating pi! Puzzles and investigations.

This website aims to show that there are many constants in mathematics other than just e and pi!

PLAB A Server on the Theory and Practice of Random Number Generation This server is maintained by a team of mathematicians and computer scientists led by Peter Hellekalek at the University of Salzburg's Mathematics Department. We present results and links on this fundamental topic in stochastic simulation, some of them due to our own research in this field. Enjoy the data and allow for necessary ...

This website aims to show that there are many constants in mathematics other than just e and pi!

True random number service with CORBA and WWW interfaces.

Random Number Generation and Testing The three primary goals were: (a) to develop a battery of statistical tests to detect non-randomness in binary sequences constructed using random number generators and pseudo-random number generators utilized in cryptographic applications, (b) to produce documentation and a software implementation of these tests, and (c) to provide guidance in the use and ...

This interactive visualization allows users to view the popularity of individual integers.

Prime numbers Number theory index History Topics Index Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians. The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers. A perfect ...

The WWW Virtual Library: Random Numbers and Monte Carlo methods This page is part of the WWW Virtual Library's section on Mathematics, subsection Specialized Fields; it is maintained by the pLab research group. Information will be provided for the following subjects: Cryptographic Random Numbers Monte Carlo Methods Quasi Monte Carlo Methods Random Number Generators Stochastic Simulation ...

Fibonacci Number ...

Number 7&nbsp&nbsp&nbsp Aesthetics of the Prime Sequence&nbsp&nbsp&nbsp Main Introduction Primality testing applet Primes and music Primes and nucleotide bases Graphics Autism and primes Software Related Links Copyrights Message Board Security News Admin: atLab@a-tu.net Contemporary Research ...

In-depth information about prime numbers and their relation to music, graphics, applets, and other aesthetics.

Welcome to THE SOCIETY 47 is the quintessential random number. Many have noticed. Many have wondered: why Many more have wondered: so what The 47 society is dedicated to exploring the phenomenon that is 47. Take your time, explore the mystery of 47: thumb through our SEARCHABLE ARCHIVES, PROVOCATIVE LINKS, and IMAGE GALLERY. Draw your own conclusions and share your views: enter our CHAT ROOM ...

PRIME NRICH PLUS Coding theory: the first 50 years Mathematics, marriage and finding somewhere to eat Dynamic programming: an introduction Decoding a war time diary The life and numbers of Fibonacci Student interview - Sarah Hudson Career profile - Helen Hewson Recent NRICH Articles Pushing back Pi Cosmos launch The Higher Education Maths Course List for 1998 Primes update: success again! Recent ...

Local hex time: Local standard time: Hex Headquarters is the home of the hex clock and is dedicated to changing the base-ten paradigm to a new standard: hexadecimal. This includes switching to hexadecimal numbers and hexadecimal time. Introduction to Mathematical Bases If you're asking yourself what is base ten , or what is a base for that matter, relax. Here is everything you need to know. Why ...

Random Number Generator Pro is a program designed to generate random number.

The design, testing and assessment of random number generators touches a broad range of mathematical topics, from number theory to probability theory, from numerical analysis to statistics. A collection of papers and textbooks on these subjects is given below. The bibliography is also available in bibtex format. Cryptographical generators are designed with ...

Brun's Constant Brun's constant is defined to be the sum of the reciprocals of all twin primes: Note that the prime 5 is taken twice (some authors don't do this). If this series was divergent, then a proof of the Twin Prime Conjecture would follow immediately. Brun proved, however, that the series is convergent and thus B is finite . Brun's result demonstrates the scarcity of twin primes ...

Heilbronn Triangle Constants The nth Heilbronn triangle constant is the smallest number for which the following holds. Given any arrangement of n points in the unit square, there is at least one triangle, formed by three of the points, with an area not exceeding . Goldberg considered the exact values of the first several Heilbronn constants, including and made several conjectures. Yang, Zhang & ...

Descriptions and source codes for new types of random number generators.

A formula for Pi which involves just the Fibonacci numbers. It explains from first principles how to use the idea of slope, expressed as tangents of angles, and Gregory's formula for finding angles given' a tangent. Several beautiful and siple formula re derived on the page with investigatory questions to find more formulae. Suitable for 12-15 year olds.

Googolplex Funny and Imagination-provoking , said the critics once upon a time, and awarded me the Top 5% icon you see here, for being among the top 5 percent of all sites on the Internet. That was in 1995, and all links to their own pages are broken now, but that certificate was never revoked, so I think I can still wear it with pride. But I'm afraid that since their comment on my page has ...

An Introduction Welcome to this web site devoted to Continued Fractions. The goal of this site is to provide a brief introduction to the field of continued fractions for those curious about the subject. Sadly, the topic of continued fractions is often ignored in undergraduate and graduate mathematics programs. This site, however, is an attempt to fill this void. On these pages you will find a ...

Detailed overview of computer-generated random numbers.

Math Forum || K-12 Math Puzzles || Problems of the Week || Student Center For many years mathematicians, scientists, engineers and others interested in mathematics have played year games via e-mail and in newsgroups. We don't always know whether it is possible to write expressions for all the numbers from 1 to 100 using only the digits in the current year, but it is fun to try to see how many ...

What is an imaginary number What is i

FIBONACCI Numbers Formulae You have reached the web pages of RAJESH RAM (maths@nivedh.com). This page contains some of the results that I have found on Fibonacci Numbers. Click here for a Text Version of this page. Click here for my mathematics home page Other Pages : PELL Numbers Formulae , Sums of Powers, FIBONACCI Numbers Formulae, TRIANGLE Numbers that are Perfect Squares, Sums of Cubes, ...

Scholarly discussion about imaginary numbers.

An overview and information about the Prime Number Theorem, the distribution of prime twins, and the Goldbach conjecture.

The Number of the Beast Mike Keith The number 666, first made famous by the Book of Revelation (chapter 13, verse 18), has also been studied by mathematicians because of its many interesting properties. Here is a compendium of mathematical facts about the number 666. Most of the well-known chestnuts are included, but many are relatively new and have not been published elsewhere. The number 666 ...

KNOW YOUR ROMAN NUMERALS What a Roman Legionary needs to know in order to count in Ancient Rome Study Well - There may be a Test ! Roman Numerals was the standard numbering system and method of Arithmetic in Ancient Rome and Europe until about 900 AD, when the Arabic Numbering System, which was originated by the Hindu's, came into use. The concept of Zero did not exist in Europe until after ...

A Math Forum Project Math Forum || K-12 Math Puzzles || Problems of the Week || Student Center For many years mathematicians, scientists, engineers and others interested in mathematics have played year games via e-mail and in newsgroups. We don't always know whether it is possible to write expressions for all the numbers from 1 to 100 using only the digits in the current year, but it is fun to ...

The One and Only 1 Page Funded in part by The Digits Project Artwork provided by Tom Brinck The digit 1 has been called The loneliest number, yet many organizations, including sports teams, companies and countries take pride in calling themselves Number 1. This page, part of The Digits Project, is dedicated to the investigation, analysis, and discussion of the paradoxical digit 1. CONSPIRACY ...

Mathematical problems and expressions involving fibonacci numbers.

Welcome to About BIG NUMBERS Explore the world of big numbers. Discover how big and how small our world is. How big is a zillion How small is a quadrillion Numbers and science. From the atom to the universe. Sun and sand and water and air. And more. Continue ...

Numbers in 4607 Languages Indo-European Proto-Indo- European+ *oynos / *sem *duwo: *treyes *kwetwores *penkwe *sweks *septm *okto: *newn *dekm Germanic Old Germanic+ *ainaz *twai *thrijiz *fithwor *fimfi *seks *sibum *ahto: *niwun *tehun Western Old English+ an twa r feower f f sex seofon eahta nighon t en Middle English+ an two three four fif six seven eihte nien ten English one two three four ...

The Golden Ratio and The Fibonacci Numbers The Golden Ratio ( ) is an irrational number with several curious properties. It can be defined as that number which is equal to its own reciprocal plus one: = 1/ + 1. Multiplying both sides of this same equation by the Golden Ratio we derive the interesting property that the square of the Golden Ratio is equal to the simple number itself plus one: 2 = ...

Nove Tessaa Nau Dyevit Ah-hop IIIIIIIII Neuf Jiu Nine Devet Neun Kilenc Nueve Kyu Na Tesha Nio Dokuz Chin Nine Nou 9 Hut Nio Yhdeksan No Iwa Ni VIIII Dziewiec Noua Siyam Nove IX Ni Dokuz Negen Kyu Noy Ah-hop Na While the original intention was for this page to be about the digit 9, the material strays to the number and word nine -- oh, well. September or November Tom asked me to mention that ...

Discussion about complex numbers and the notation "i".

Fibonacci Numbers and how they are related to flowers, pine cones, pineapples, palm trees, suspension bridges, spider webs, dripping taps, CDs, your savings account, and quite a few other things 26th October 2000 Back to Home Page Back to Flowers Back to Nature's Maths Two curved lines have been drawn on the first photograph of a thistle head - one spiralling out clockwise, and one spiralling ...

Square root of 2 The square root of 2 is very important number in mathematics. However it is generally overshadowed by other interesting quantities like PI. While PI is the circumference of a unit circle, the square root of 2 is the diagonal of a unit square. The square root of 2 is, of course, related to PI as that sqrt(2)=2sin(PI/4). Fortunately, it is much easier to compute the numeric value ...

The Verbose Pi Page ...

Scholarly explanation of imaginary numbers.

MIT Scheme Reference 4.8: Random Numbers MIT Scheme provides a facility for generating pseudo-random numbers. The current implementation is a ``subtract-with-carry'' random-number generator, based on the algorithm from A New Class of Random Number Generators, George Marsaglia and Arif Zaman, The Annals of Applied Probability, Vol. 1, No. 3, 1991. At the time it was implemented, this was a good ...

Detailed overview of the mathematical concept of fibonacci numbers.

If if does not work, try an other version ! French Internet Explorer Old Netscape English Internet Explorer Mozilla Old Netscape Try to find where the ball is hidden Press on the keybord 0 or 1 to choose your side to play. To see results and continue, you have to play at least 205 times. The computer will try to guess what you will choose and hide the ball on the other side. You loose if you ...

Mathematics, abstract math.NT/0006089 From: Greg Martin gerg@math.toronto.edu Date (v1): Mon, 12 Jun 2000 18:07:15 GMT (8kb) Date (revised v2): Fri, 17 Nov 2000 19:58:47 GMT (11kb) Absolutely Abnormal Numbers Authors: Greg Martin Comments: 9 pages. The details of the main construction have changed somewhat, though the method of proof is the same. The paper has been expanded a bit for clarity ...

Number Gossip Everything you always wanted to know about your favorite number, but were afraid to ask. Enter your number Index Definitions Other Links Enter your number Please enter a positive number less than 10000: Index abundant amicable apocalyptic powers aspiring automorphic(curious) cake Carmichael Catalan composite compositorial cube curious deficient even evil factorial Fibonacci lazy ...

666 The Number of the Beast A little archive of gleanings, theories and links relating to the most misunderstood number of all Direct to 666 Syndrome (updated) Every other year some doomsayer comes up with a new theory about the mark of the beast and the conspiracy to control the world through a computerised big brother system. The Bible reference to the mark and the number (Revelation 13:18) ...

JD-2 pseudorandom number generator | Randomness tests | Contact The purpose of this site is to present and evaluate the new JD-2 pseudorandom number generator designed by me using an original idea with the intention to be used in cryptographic applications. About randomness A random bit sequence could be interpreted as the result of the flips of a coin with sides that are labeled 0 and 1, with ...

Apery's Constant Apery's constant, , is defined to be the value of Riemann's zeta function when x=3. This designation of as Apery's constant is new but well-deserved. In 1979, Apery stunned the mathematical world with a miraculous proof that = 1.202056903... is irrational . We will return to this shortly; let us first discuss Riemann's function in a little more detail. The zeta function can be ...

The Arabic numeral system Arabic index History Topics Index The Indian numerals discussed in our article Indian numerals form the basis of the European number systems which are now widely used. However they were not transmitted directly from India to Europe but rather came first to the Arabic/Islamic peoples and from them to Europe. The story of this transmission is not, however, a simple one.

Indian numerals Ancient Indian Mathematics index History Topics Index It is worth beginning this article with the same quote from Laplace which we give in the article Overview of Indian mathematics. Laplace wrote:- The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple ...