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Analytic combinatorics

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.

High School Math and Chess

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. The documentation at the Sage website I've already linked to gives you the basic code.

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. Nuremberg Laws. Title page of RGB I No. 100 proclaiming the laws.

Nuremberg 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] 18.05 Introduction to Probability and Statistics, Spring 2005. Discrete Math Lecture Notes. How to Become a Pure Mathematician (or Statistician) - StumbleUpon. Wolfram MathWorld: The Webs Most Extensive Mathematics Resource. From Wolfram MathWorld - StumbleUpon. A 4-state two-dimensional Turing machine invented in the 1980s.

from Wolfram MathWorld - StumbleUpon

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. Riddles(hard) ] - StumbleUpon. There are three puzzlers in the puzzle forum: A Newbie, a Senior Riddler, and an Uberpuzzler.

riddles(hard) ] - StumbleUpon

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}, MR: Search Publications database. Basic Probability Theory.