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In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.According to the law, = = =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.
[6] [7] [a] The parentheses can be omitted if the input is a single numerical variable or constant, [2] as in the case of sin x = sin(x) and sin π = sin(π). [ a ] Traditionally this convention extends to monomials ; thus, sin 3 x = sin(3 x ) and even sin 1 / 2 xy = sin( xy /2) , but sin x + y = sin( x ) + y , because x + y is not a ...
Case-based reasoning (CBR), broadly construed, is the process of solving new problems based on the solutions of similar past problems. [ 1 ] [ 2 ] In everyday life, an auto mechanic who fixes an engine by recalling another car that exhibited similar symptoms is using case-based reasoning.
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Raffles v Wichelhaus [1864] EWHC Exch J19, often called "The Peerless" case, is a leading case on mutual mistake in English contract law.The case established that where there is latent ambiguity as to an essential element of the contract, the Court will attempt to find a reasonable interpretation from the context of the agreement before it will void it.
Linguistic ambiguity can be a problem in law, because the interpretation of written documents and oral agreements is often of paramount importance. Structural analysis of an ambiguous Spanish sentence: Pepe vio a Pablo enfurecido. Interpretation 1: When Pepe was angry, then he saw Pablo. Interpretation 2: Pepe saw that Pablo was angry.
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Ambiguity occurs when a single word or phrase may be interpreted in two or more ways. As law frequently involves lengthy, complex texts, ambiguity is common. Thus, courts have evolved various doctrines for dealing with cases in which legal texts are ambiguous.