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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]
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.
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There is a full discussion of the solution of oblique triangles in Todhunter. [1]: Chap. VI See also the discussion in Ross. [11] Nasir al-Din al-Tusi was the first to list the six distinct cases (2–7 in the diagram) of a right triangle in spherical trigonometry. [12]
Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. [7]
Here are the first two letters for each word: PL. BL. EV. RA. SE. GA. BA (SPANGRAM) NYT Strands Spangram Answer Today. Today's spangram answer on Monday, January 13, 2025, is BAGELS.
If the triangle ABC is oblique (does not contain a right-angle), the pedal triangle of the orthocenter of the original triangle is called the orthic triangle or altitude triangle. That is, the feet of the altitudes of an oblique triangle form the orthic triangle, DEF .
Here are the first two letters for each word: FL. AS. SU. ST. GO. MI (SPANGRAM) NYT Strands Spangram Answer Today. Today's spangram answer on Sunday, January 12, 2025, is MINDBLOWN.