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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 word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
In other words, the uniform word problem for the class of all finitely presented groups with solvable word problem is unsolvable. This has some interesting consequences. For instance, the Higman embedding theorem can be used to construct a group containing an isomorphic copy of every finitely presented group with solvable word problem.
In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent – free of any internal contradictions. Hilbert stated that the axioms he considered for arithmetic were the ones given in Hilbert (1900) , which include a second order completeness axiom.
The Feast of Dedication is also mentioned in John 10:22, where the writer mentions Jesus being at the Jerusalem Temple during "the Feast of Dedication" and further notes "and it was winter". The Greek term used in John is "the renewals" (Greek τὰ ἐγκαίνια, ta enkainia). [6] Josephus refers to the festival in Greek simply as "lights ...
The word consecration literally means "association with the sacred". Persons, places, or things can be consecrated, and the term is used in various ways by different groups. The origin of the word comes from the Latin stem consecrat, which means dedicated, devoted, and sacred. [1] A synonym for consecration is sanctification; its antonym is ...
The second someone tells you “Each moment with you is just like a dream to me…”, they are a keeper—and according to this funk-disco band, that’s just a plain fact. Listen Here 21.
In newer books, the dedication is located on a "dedication page" on its own, usually on the recto page after the main title page inside the front matter. It can occupy one or multiple lines depending on its importance. It can also be "in a longer version as a dedication letter or dedication preface at the book's beginning". [6]