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The EURion constellation is made up of five rings. The EURion constellation (also known as Omron rings [1] or doughnuts [2]) is a pattern of symbols incorporated into a number of secure documents such as banknotes, cheques, and ownership title certificate designs worldwide since about 1996.
The Power of 10 Rules were created in 2006 by Gerard J. Holzmann of the NASA/JPL Laboratory for Reliable Software. [1] The rules are intended to eliminate certain C coding practices that make code difficult to review or statically analyze.
Source: [3] A grammar for a simple language should be defined; so that sentences in the language can be interpreted. When a problem occurs very often, it could be considered to represent it as a sentence in a simple language (Domain Specific Languages) so that an interpreter can solve the problem by interpreting the sentence.
The Kleene star expression s * is converted to An ε-transition connects initial and final state of the NFA with the sub-NFA N ( s ) in between. Another ε-transition from the inner final to the inner initial state of N ( s ) allows for repetition of expression s according to the star operator.
One use of this pattern is during software rewrites. Code can be divided into many small sections, wrapped with the strangler fig pattern, then that section of old code can be swapped out with new code before moving on to the next section. This is less risky and more incremental than swapping out the entire piece of software. [1]
Martin Fowler defines a pattern as an "idea that has been useful in one practical context and will probably be useful in others". [2] He further on explains the analysis pattern, which is a pattern "that reflects conceptual structures of business processes rather than actual software implementations". An example: Figure 1: Event analysis pattern
Each pattern language can be produced by an indexed grammar: For example, using Σ = { a, b, c} and X = { x, y}, the pattern a x b y c x a y b is generated by a grammar with nonterminal symbols N = { S x, S y, S} ∪ X, terminal symbols T = Σ, index symbols F = { a x, b x, c x, a y, b y, c y}, start symbol S x, and the following production rules:
The distance of a code is the minimum Hamming distance between any two distinct codewords, i.e., the minimum number of positions at which two distinct codewords differ. Since the Walsh–Hadamard code is a linear code, the distance is equal to the minimum Hamming weight among all of its non-zero codewords.