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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 Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at the ...
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]
For example, if a lot must adhere to a 0.1 FAR, then the total area of all floors in all buildings on the lot must be no more than one-tenth the area of the parcel itself. In other words, if the lot was 10,000 sq. ft, then the total floor area of all floors in all buildings must not exceed 1,000 sq. ft.
the relationship between square feet and square inches is 1 square foot = 144 square inches, where 144 = 12 2 = 12 × 12. Similarly: 1 square yard = 9 square feet; 1 square mile = 3,097,600 square yards = 27,878,400 square feet; In addition, conversion factors include: 1 square inch = 6.4516 square centimetres; 1 square foot = 0.092 903 04 ...
The answer is that a cat will easily pass through the gap, the size of which will be 1 / 2 π metres or about 16 cm (6.3 in). Even more surprising is that the size of the sphere or circle around which the string is spanned is irrelevant, and may be anything from the size of an atom to the Milky Way — the result depends only on the ...
Jay Gilberg bought a five-bedroom, 4,800-square-foot (446-sq-meter) home in the Los Angeles neighborhood of Pacific Palisades in June to merge two households, bringing his two … Advertisement ...
One of the widely used types of impossibility proof is proof by contradiction.In this type of proof, it is shown that if a proposition, such as a solution to a particular class of equations, is assumed to hold, then via deduction two mutually contradictory things can be shown to hold, such as a number being both even and odd or both negative and positive.