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A matching function is a mathematical relationship that describes the formation of new relationships (also called 'matches') from unmatched agents of the appropriate types. For example, in the context of job formation, matching functions are sometimes assumed to have the following ' Cobb–Douglas ' form:
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In computer science, the Knuth–Morris–Pratt algorithm (or KMP algorithm) is a string-searching algorithm that searches for occurrences of a "word" W within a main "text string" S by employing the observation that when a mismatch occurs, the word itself embodies sufficient information to determine where the next match could begin, thus bypassing re-examination of previously matched characters.
where [] is the input as a function of the independent variable , and [] is the filtered output. Though we most often express filters as the impulse response of convolution systems, as above (see LTI system theory ), it is easiest to think of the matched filter in the context of the inner product , which we will see shortly.
The Acts of Union 1707 declared that the Kingdom of England and Kingdom of Scotland were "United into One Kingdom by the Name of Great Britain". [p] [22] The term "United Kingdom" has occasionally been used as a description for the former Kingdom of Great Britain, although its official name from 1707 to 1800 was simply "Great Britain". [23]