The History of Digital Computing

Fun. Welcome, take my hand. Harriot biography. Born: 1560 in Oxford, England Died: 2 July 1621 in London, England Click the picture aboveto see three larger pictures Show birthplace location ... the greatest mathematician that Oxford has produced ... yet his name has only recently become widely known, and even now his achievements are not fully appreciated by most mathematicians. We know very little of Harriot's youth. In fact all that is known is that on Friday 20 December 1577 he matriculated at the University of Oxford with an entry in the official records giving his age as seventeen, his father as a plebeian, and his birthplace Oxfordshire. Ever since you perceived that skill in the navigator's art, the chief ornament of an island kingdom, might attain its splendour amongst us if the aid of the mathematical sciences were enlisted, you have maintained in your household Thomas Harriot, a man pre-eminent in those studies, at a most liberal salary, in order that by his aid you might acquire those noble sciences in your leisure hours ...

Gottfried Wilhelm Leibniz Archives - Free access to documentatio. I Ching. The I Ching has been used for more than 5000 years as an aid to making decisions, predicting the future, etc. So, if nothing else, it is a long-standing and popular source of wisdom and inspiration. Our descriptions are based on the output of the Unix ching(6) program. There are a number of books on the I Ching. Wu Wei, in particular, has published several with Power Press. Notes: This page is also available sorted by pattern. There is also an icon-oriented I Ching Square, but it takes a while to ship over our WWW connection. Visit www.facade.com/attraction/iching/ for a computer-generated I Ching reading, a paper on I Ching, etc. Patterns: FREE I Ching Readings. BinarySystem. <h3><span> Your web-browser does not support JavaScript</span></h3> Main Index Number Theory Arithmetics Numeral systems Positional numeral systems Subject Index comment on the page Binary system The binary (numeral) system (or base 2 numerals) is a positional numeral system with a radix of 2.

And The modern binary number system goes back to Gottfried Leibniz who in the 17th century proposed and developed it in his article Explication de l'Arithmétique Binaire [1] . Actually the first application of the binary system is essentially older. Which basis is the expression of one factor in the binary system. In Europe it was Thomas Harriot (or Hariot or Harriott) (c. 1560 - July 2, 1621), an English astronomer, mathematician, ethnographer, linguist and the founder of the English school of algebra, who discovered the binary system. And the other as (see an illustrated plate in his De Augmentis Scientiarum (The Advancement of Learning), pp. 266-270). With zero and . Therefore . . . Notes References.

Binary. The base 2 method of counting in which only the digits 0 and 1 are used. In this base, the number 1011 equals . This base is used in computers, since all numbers can be simply represented as a string of electrically pulsed ons and offs. In computer parlance, one binary digit is called a bit, two digits are called a crumb, four digits are called a nibble, and eight digits are called a byte. An integer may be represented in binary in Mathematica using the command BaseForm[n, 2], and the first digits of a real number may be obtained in binary using RealDigits[x, 2, d]. Can be converted to a decimal rational number or integer using FromDigits[l, 2]. The illustration above shows the binary numbers from 0 to 63 represented graphically (Wolfram 2002, p. 117), and the following table gives the binary equivalents of the first few decimal numbers. A negative number is most commonly represented in binary using the complement of the positive number , so would be written as the complement of , or 11110101. .

Fractals: Peano Curves. Born: 27 Aug 1858 in Cuneo, Piemonte, Italy Died: 20 April 1932 in Turin, Italy Giuseppe Peano was born in a farmhouse about 5 km from Cuneo. He attended the village school in Spinetta and in Cuneo. His uncle soom realised that Giuseppe was a very talented child, he took him to Turin in 1870 for his secondary schooling and to prepare him for university studies. On 29 September 1880 Peano graduated as doctor of mathematics joined the staff at the University of Turin in 1880.

The following year he discovered, and published, a method for solving systems of linear differential equations using successive approximations, independently discovered by Emile Picard. In 1889 Peano published (in Latin !!!) He invented 'space-filling' curves in 1890. This is one of the most remarkable facts of set theory. From around 1892, Peano embarked on a new and extremely ambitious project, namely the Formulario Mathematico. Peano's career was therefore rather strangely divided into two periods. The ENIAC Museum Online.

Originally announced on February 14, 1946, the Electronic Numerical Integrator and Computer (ENIAC), was the first general-purpose electronic computer. Hailed by The New York Times as "an amazing machine which applies electronic speeds for the first time to mathematical tasks hitherto too difficult and cumbersome for solution," the ENIAC was a revolutionary piece of machinery in its day. It was constructed and operated here at The Moore School of Electrical Engineering, now part of the School of Engineering and Applied Science. Today, it is difficult to imagine how we could manage without the myriad electronic devices that we utilize each day. From our "smart" phones, touch screens, and tiny cameras to our automobiles, airplanes and medical equipment and devices, electronics is the engine driving us forward. And it was here at the University of Pennsylvania that it all began. Mariner 4 Makes Flight Past Mars.

The NEW XANADU STRUCTURE FOR THE WEB. Information theory. Overview[edit] The main concepts of information theory can be grasped by considering the most widespread means of human communication: language. Two important aspects of a concise language are as follows: First, the most common words (e.g., "a", "the", "I") should be shorter than less common words (e.g., "roundabout", "generation", "mediocre"), so that sentences will not be too long. Such a tradeoff in word length is analogous to data compression and is the essential aspect of source coding.

Second, if part of a sentence is unheard or misheard due to noise — e.g., a passing car — the listener should still be able to glean the meaning of the underlying message. Such robustness is as essential for an electronic communication system as it is for a language; properly building such robustness into communications is done by channel coding. Source coding and channel coding are the fundamental concerns of information theory.

Historical background[edit] With it came the ideas of Entropy[edit] . That. Entropy and Information Theory. 3 March 2013 This site provides the current version of the first edition of the book Entropy and Information Theory by R.M. Gray in the Adobe portable document format (PDF). This format can be read from a Web browser by using the Acrobat Reader helper application, which is available for free downloading from Adobe. The current version is a corrected and slightly revised version of the second printing (1991) of the Springer-Verlag book of the same name, which is now out of print. This corrected version is made available with the permission of Springer-Verlag. This will be the final version of the First Edition of the book, but I will continue to correct any typos found by me or others.

The most recent corrections were made in March 2013. Permission is hereby given to freely print and circulate copies of this book so long as it is left intact and not reproduced for commercial purposes. History of mathematical notation: Facts, Discussion Forum, and E. Mathematical notation comprises the symbol A symbol is something which represents an idea, a physical entity or a process but is distinct from it. The purpose of a symbol is to communicate meaning. For example, a red octagon may be a symbol for "STOP". On a map, a picture of a tent might represent a campsite. S used to write mathematical equation An equation is a mathematical statement that asserts the equality of two expressions. S and formula In mathematics, a formula is an entity constructed using the symbols and formation rules of a given logical language.... s.

The Greek alphabet is the script that has been used to write the Greek language since at least 730 BC. . , Hebrew The Hebrew alphabet , known variously by scholars as the Jewish script, square script, block script, or more historically, the Assyrian script, is used in the writing of the Hebrew language, as well as other Jewish languages, most notably Yiddish, Ladino, and Judeo-Arabic. . , and German alphabet belonged. . . The Greeks. Gottfried Wilhelm Leibniz. Home Page Gottfried Wilhelm Leibniz (b. 1646, d. 1716) was a German philosopher, mathematician, and logician who is probably most well known for having invented the differential and integral calculus (independently of Sir Isaac Newton).

In his correspondence with the leading intellectual and political figures of his era, he discussed mathematics, logic, science, history, law, and theology. Principal Works: De Arte Combinatoria (‘On the Art of Combination’), 1666 Hypothesis Physica Nova (‘New Physical Hypothesis’), 1671 Discours de métaphysique (‘Discourse on Metphysics’), 1686 unpublished manuscripts on the calculus of concepts, c. 1690 Nouveaux Essais sur L'entendement humaine (‘New Essays on Human Understanding’), 1705 Théodicée (‘Theodicy’), 1710 Monadologia (‘The Monadology’), 1714 Leibniz's Life: Leibniz's Contributions To Philosophy: Further Reading: Wolfgang Lenzen, Das System Der Leibnizschen Logik, Berlin: W.

Philippe Codognet's home page. THE SEMIOTICS OF THE WEB. Svetlana Alpers.