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The M'Naghten rule(s) (pronounced, and sometimes spelled, McNaughton) is a legal test defining the defence of insanity that was formulated by the House of Lords in 1843. It is the established standard in UK criminal law.
In computer science, Thompson's construction algorithm, also called the McNaughton–Yamada–Thompson algorithm, [1] is a method of transforming a regular expression into an equivalent nondeterministic finite automaton (NFA). [2] This NFA can be used to match strings against the regular expression. This algorithm is credited to Ken Thompson.
In McNaughton's original paper, the theorem was stated as: "An ω-event is regular if and only if it is finite-state." In modern terminology, ω-events are commonly referred to as ω-languages. Following McNaughton's definition, an ω-event is a finite-state event if there exists a deterministic Muller automaton that recognizes it.
Schmidt, 216 N.Y. 324 (1915), is a British criminal case interpreting "wrong" in the M'Naghten rule for an insanity defense. [13]: 621 The M'naghten rule included that a person was not guilty because of insanity if, because of a mental disorder, the defendant was not able to know her act was wrong.
Robert Forbes McNaughton, Jr. (1924–2014) was an American mathematician, logician, and computer scientist with several key contributions in formal languages, grammars and rewriting systems, and word combinatorics. [1] McNaughton was originally from Brooklyn, and earned a bachelor's degree from Columbia University. [1]
L'Hôpital's rule (/ ˌ l oʊ p iː ˈ t ɑː l /, loh-pee-TAHL) or L'Hospital's rule, also known as Bernoulli's rule, is a mathematical theorem that allows evaluating limits of indeterminate forms using derivatives. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be easily ...
It is an application of the general truth that if a statement is true, then so is its contrapositive. The form shows that inference from P implies Q to the negation of Q implies the negation of P is a valid argument. The history of the inference rule modus tollens goes back to antiquity. [4]
where = is the reduced Planck constant.. The quintessentially quantum mechanical uncertainty principle comes in many forms other than position–momentum. The energy–time relationship is widely used to relate quantum state lifetime to measured energy widths but its formal derivation is fraught with confusing issues about the nature of time.