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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 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.
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
The word problem asks whether two words are effectively the same group element. By relating the problem to Turing machines , one can show that there is in general no algorithm solving this task. Another, generally harder, algorithmically insoluble problem is the group isomorphism problem , which asks whether two groups given by different ...
Winter brings less daylight and colder temperatures, which can disrupt sleep. Seasonal Affective Disorder (SAD) is more common in winter due to the lack of sunlight, causing sleep disturbances.
Clinch AFC's No. 1 seed and home-field advantage with: Bills loss or tie. Denver Broncos. Clinch playoff berth with: Dolphins loss or tie + Bengals loss or tie + Colts loss or tie. Los Angeles ...
A right-hand railroad switch with point indicator pointing to right Animated diagram of a right-hand railroad switch. Rail track A divides into two: track B (the straight track) and track C (the diverging track); note that the green line represents direction of travel only, the black lines represent fixed portions of track, and the red lines depict the moving components.
She adds that using the word “should” can unwittingly lead to feelings of shame, as if they should have already known and done better. Dr. Danda points to one alternative: “I have some ideas ...