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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]
The Harkness method is in use at many American boarding schools and colleges and encourages discussion in classes. The style is related to the Socratic method.Developed at Phillips Exeter Academy, [1] the method's name comes from the oil magnate and philanthropist Edward Harkness, who presented the school with a monetary gift in 1930.
The word mathematics comes from the Ancient Greek word máthēma (μάθημα), meaning ' something learned, knowledge, mathematics ', and the derived expression mathēmatikḗ tékhnē (μαθηματικὴ τέχνη), meaning ' mathematical science '. It entered the English language during the Late Middle English period through French and ...
The rule states that if the nonzero terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is either equal to the number of sign changes between consecutive (nonzero) coefficients, or is less than it by an even number.
Hilbert’s sixth problem was a proposal to expand the axiomatic method outside the existing mathematical disciplines, to physics and beyond. This expansion requires development of semantics of physics with formal analysis of the notion of physical reality that should be done. [ 9 ]
A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. [1]
This is an accepted version of this page This is the latest accepted revision, reviewed on 6 February 2025. Education in the United States of America National education budget (2023-24) Budget $222.1 billion (0.8% of GDP) Per student More than $11,000 (2005) General details Primary languages English System type Federal, state, local, private Literacy (2017 est.) Total 99% Male 99% Female 99% ...
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