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A set of free generators for a free monoid P is referred to as a basis for P: a set of words C is a code if C* is a free monoid and C is a basis. [3] A set X of words in A ∗ is a prefix, or has the prefix property, if it does not contain a proper (string) prefix of any of its elements. Every prefix in A + is a code, indeed a prefix code. [3] [13]
Adolf Hitler's directives, or Führer directives (Führerbefehle), were instructions and strategic plans issued by Adolf Hitler himself over the course of World War II.The directives covered a wide range of subjects, from detailed direction of the Armed Forces' operations during World War II, to the governance of occupied territories and their populations.
Archive of Our Own (AO3) is a nonprofit open source repository for fanfiction and other fanworks contributed by users. The site was created in 2008 by the Organization for Transformative Works and went into open beta in 2009 and continues to be in beta. [2]
Some geographic area codes are similar to the toll-free codes, e.g., 801, 818, 860. Toll-free numbers are also sometimes confused with 900-numbers, for which the telephone company bills the callers at rates far in excess of long-distance service rates for services such as recorded information or live chat.
Hence the rate of Hamming codes is R = k / n = 1 − r / (2 r − 1), which is the highest possible for codes with minimum distance of three (i.e., the minimal number of bit changes needed to go from any code word to any other code word is three) and block length 2 r − 1.
There is the germ of a new notion of order here. This order is not to be understood solely in terms of a regular arrangement of objects (e.g., in rows) or as a regular arrangement of events (e.g., in a series). Rather, a total order is contained, in some implicit sense, in each region of space and time.
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