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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.
The proof is difficult to follow but marks a turning point in the word problem for groups. [3]: 342 1955 (): Pyotr Novikov gives the first published proof that the word problem for groups is unsolvable, using Turing's cancellation semigroup result. [17] [3]: 354 The proof contains a "Principal Lemma" equivalent to Britton's Lemma.
Then the word problem in is solvable: given two words , in the generators of , write them as words in and compare them using the solution to the word problem in . It is easy to think that this demonstrates a uniform solution of the word problem for the class K {\displaystyle K} (say) of finitely generated groups that can be embedded in G ...
Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations; Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science; Word problem for groups, the problem of recognizing the identity element ...
[2] [3] Thus, in the expression 1 + 2 × 3, the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7, and not (1 + 2) × 3 = 9. When exponents were introduced in the 16th and 17th centuries, they were given precedence over both addition and multiplication and placed as a superscript to the right of ...
Coordinating conjunctions, also called coordinators, are conjunctions that join, or coordinate, two or more items (such as words, main clauses, or sentences) of equal syntactic importance. In English, the mnemonic acronym FANBOYS can be used to remember the most commonly used coordinators : for , and , nor , but , or , yet , and so . [ 13 ]
The definition of success in a given cloze test varies, depending on the broader goals behind the exercise. Assessment may depend on whether the exercise is objective (i.e. students are given a list of words to use in a cloze) or subjective (i.e. students are to fill in a cloze with words that would make a given sentence grammatically correct).
However, Dudeney states that the problem is "as old as the hills...much older than electric lighting, or even gas". [3] Dudeney also published the same puzzle previously, in The Strand Magazine in 1913. [4] A competing claim of priority goes to Sam Loyd, who was quoted by his son in a posthumous biography as having published the problem in 1900 ...
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