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"xor associative proof",XOR is a binary operation, it stands for "exclusive or", that is to say the resulting bit evaluates to one if only exactly one of the bits is set.

Proof of the winning formula. The soundness of the optimal strategy described above was demonstrated by C. Bouton. Theorem. In a normal Nim game, the player making

Neural Networks - A Systematic Introduction. a book by Raul Rojas. Foreword by Jerome Feldman. Springer-Verlag, Berlin, New-York, 1996 (502 p.,350 illustrations).

In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.

Vocabulary: We consider skew fields to be noncommutative. Some don't. Fields are commutative rings where all nonzero elements are invertible.

You can derive this result by drawing truth tables. You can do the proof yourself, it follows a similar procedure to that shown in Figure 5 for the distributive laws.

This post describes how dictionaries are implemented in the Python language. Dictionaries are indexed by keys and they can be seen as associative arrays.

What ARE Clifford Algebras and Spinors? Some very useful links are: a web site of Pertti Lounesto, who in my opinion has the most detailed knowledge of Clifford

General hash function algorithm implementations for string hashing in the object pascal, c and c++ programming languages.

Hyperlinked definitions and discussions of many terms in cryptography, mathematics, statistics, electronics, patents, logic, and argumentation used in cipher

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