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Langton's Ant

Langton's Ant
A 4-state two-dimensional Turing machine invented in the 1980s. The ant starts out on a grid containing black and white cells, and then follows the following set of rules. 1. If the ant is on a black square, it turns right and moves forward one unit. 2. 3. When the ant is started on an empty grid, it eventually builds a "highway" that is a series of 104 steps that repeat indefinitely, each time displacing the ant two pixels vertically and horizontally. (right figure) steps.

UltraRecords's Channel from Ultra Music Subscribe to Ultra Music - to UltraTV - Ultra Music is an American independent electronic music record label based in New York City. Personal and Historical Perspectives of Hans Bethe [ wu :: riddles(hard) ] - StumbleUpon There are three puzzlers in the puzzle forum: A Newbie, a Senior Riddler, and an Uberpuzzler. All three are honest, but can only give answers to the best of their knowledge. Newbies are confused creatures. Until their fifteenth posts, they are only able to make random responses!* Senior Riddlers have great powers of perception, but are not yet infallible. Uberpuzzlers are omniscient beings who are your greatest allies in the Puzzle Forum!!! The Uberpuzzler can exert Influence arbitrarily often. Furthermore, an Uberpuzzler only uses his power of Influence in a very specific way. (Thus, he employs a strategy defined as a mapping f : S3 x {(T|F)*} -> {0,1}, which can be interpreted as follows: for each ordering of the puzzlers "sigma" (a permutation in S3, e.g. Note that this is different from saying that the puzzler chooses when the Uberpuzzler applies Influence! Determine with proof the minimum number of questions which will allow you to identify which puzzler is which.

maps home page Down to: 6th to 15th Centuries | 16th and 19th Centuries | 1901 to World War Two | 1946 to 21st Century The Ancient World ... index of places Aegean Region, to 300 BCE Aegean Region, 185 BCE Africa, 2500 to 1500 BCE Africa to 500 CE African Language Families Alexander in the East (334 to 323 BCE) Ashoka, Empire of (269 to 232 BCE) Athenian Empire (431 BCE) China, Korea and Japan (1st to 5th century CE) China's Warring States (245 to 235 BCE) Cyrus II, Empire of (559 to 530 BCE) Delian League, 431 BCE Egyptian and Hittite Empires, 1279 BCE Europe Fertile Crescent, 9000-4500 BCE Germania (120 CE) Greece (600s to 400s BCE) Gupta Empire (320 to 550 CE) Han China, circa 100 BCE Hellespont (Battle of Granicus River, 334 BCE) India to 500 BCE Israel and Judah to 733 BCE Italy and Sicily (400 to 200 BCE) Judea, Galilee, Idumea (1st Century BCE) Mesopotamia to 2500 BCE Mesoamerica and the Maya (250 to 500 CE) Oceania Power divisions across Eurasia, 301 BCE Roman Empire, CE 12 Roman Empire, CE 150 Roman Empire, CE 500

Universal Turing machine In computer science, a universal Turing machine (UTM) is a Turing machine that can simulate an arbitrary Turing machine on arbitrary input. The universal machine essentially achieves this by reading both the description of the machine to be simulated as well as the input thereof from its own tape. Alan Turing introduced this machine in 1936–1937. This model is considered by some (for example, Martin Davis (2000)) to be the origin of the stored program computer—used by John von Neumann (1946) for the "Electronic Computing Instrument" that now bears von Neumann's name: the von Neumann architecture. It is also known as universal computing machine, universal machine (UM), machine U, U. In terms of computational complexity, a multi-tape universal Turing machine need only be slower by logarithmic factor compared to the machines it simulates. Introduction[edit] Every Turing machine computes a certain fixed partial computable function from the input strings over its alphabet. Efficiency[edit]

How to Become a Pure Mathematician (or Statistician) Collected Quotes from Albert Einstein [Note: This list of Einstein quotes was being forwarded around the Internet in e-mail, so I decided to put it on my web page. I'm afraid I can't vouch for its authenticity, tell you where it came from, who compiled the list, who Kevin Harris is, or anything like that. Still, the quotes are interesting and enlightening.] "Any intelligent fool can make things bigger, more complex, and more violent. It takes a touch of genius -- and a lot of courage -- to move in the opposite direction." Copyright: Kevin Harris 1995 (may be freely distributed with this acknowledgement)

Turing machine An artistic representation of a Turing machine (Rules table not represented) A Turing machine is a hypothetical device that manipulates symbols on a strip of tape according to a table of rules. Despite its simplicity, a Turing machine can be adapted to simulate the logic of any computer algorithm, and is particularly useful in explaining the functions of a CPU inside a computer. The "Turing" machine was invented in 1936 by Alan Turing[1] who called it an "a-machine" (automatic machine). The Turing machine is not intended as practical computing technology, but rather as a hypothetical device representing a computing machine. Turing machines help computer scientists understand the limits of mechanical computation. Turing gave a succinct definition of the experiment in his 1948 essay, "Intelligent Machinery". ...an unlimited memory capacity obtained in the form of an infinite tape marked out into squares, on each of which a symbol could be printed. Informal description[edit] where to

Nuremberg Laws Title page of RGB I No. 100 proclaiming the laws. Issued 16.09.1935. The Nuremberg Laws (German: Nürnberger Gesetze) of 1935 were antisemitic laws in Nazi Germany introduced at the annual Nuremberg Rally of the Nazi Party. After the takeover of power in 1933 by Hitler, Nazism became an official ideology incorporating anti-Semitism as a form of scientific racism. There was a rapid growth in German legislation directed at Jews and other groups, such as the Law for the Restoration of the Professional Civil Service which banned "non-Aryans" and political opponents of the Nazis, from the civil service. The lack of a clear legal method of defining who was Jewish had, however, allowed some Jews to escape some forms of discrimination aimed at them. The Nuremberg Laws classified people with four German grandparents as "German or kindred blood", while people were classified as Jews if they descended from three or four Jewish grandparents. Background history[edit] Toward the Nuremberg Laws[edit] Dr.

Фото и рисунки, арт и креативная реклама Sage and Graph Theory | High School Math and Chess I've already mentioned the beautiful work on graph theory here but I haven't mentioned Sage can help us produce graphs like that, too. You'll need to make sure you've got a copy of the style files (tkz-berge.sty and tkz-graph.sty) in the directory you're working in, though. Sage gives you some predefined graphs to make creating graphs easier. This page has a lot of important information and I used it to create the graph shown on the Problems page. The graph has almost all its edges, so start by creating the complete graph on 5 vertices. from sage.graphs.graph_latex import check_tkz_graph check_tkz_graph() # random - depends on TeX installation g = graphs.CompleteGraph(5) opts = g.latex_options() g.set_latex_options(tkz_style = 'Art') print opts.tkz_picture() The 'Art' style is responsible for making the graphs like at the Altermundus site. code for a Remove an edge from the code by putting a % at the beginning of the line (which comments out the line). file.

Stunning Cut-Out Book Art By Brian Dettmer That Will Leave You Scratching Your Head | blurppy Artist Brian Dettmer is a talented artist and his media of choice happens to be books. With a little bit of careful carving, he can make amazing creations from already printed pages. While there are a number of artists who work with books, it seems safe to say that Brian has definately earned his nickname ” the book surgeon.” (Is it just me or does that sound like a bad guy from the hit TV show Dexter.) Dettmer is originally from Chicago although he currently resides in Atlanta, GA. Brian is known for his detailed and innovative sculptures with books and other forms of antiquated media. Dettmer’s work has gained International acclaim through internet bloggers, and traditional media. In recent years Dettmer has established himself as one of the leading International contemporary artists working with the book today. Click HERE to check out his website and see more of his incredible art and tell him blurppy sent you (and that we LOVE his work). Like this: Like Loading...

Before I Die What matters most to you Interactive public art project that invites people to share their personal aspirations in public. After losing someone she loved and falling into depression, Chang created this experiment on an abandoned house in her neighborhood to create an anonymous place to help restore perspective and share intimately with her neighbors. The project gained global attention and thanks to passionate people around the world, over 1000 Before I Die walls have now been created in over 70 countries, including Kazakhstan, Iraq, Haiti, China, Ukraine, Portugal, Japan, Denmark, Argentina, and South Africa. The walls are an honest mess of the longing, pain, joy, insecurity, gratitude, fear, and wonder you find in every community, and they reimagine public spaces that nurture honesty, vulnerability, trust and understanding. The Before I Die book is a celebration of these walls and the stories behind them. 2011, New Orleans, LA. Cordoba, Argentina. Najaf, Iraq. Brooklyn, NY.

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