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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]
If you're looking for a hint to today's Wordle puzzle, you've come to the right place. Here is the answer to the Friday, Jan. 24 puzzle as well as clues, vowels and the first letter.
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.
In today's puzzle, there are seven theme words to find (including the spangram). Hint: The first one can be found in the top-half of the board. Here are the first two letters for each word:
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.
If you've been having trouble with any of the connections or words in Sunday's puzzle, you're not alone and these hints should definitely help you out. Plus, I'll reveal the answers further down ...
Taking this one stage further, the clue word can hint at the word or words to be abbreviated rather than giving the word itself. For example: "About" for C or CA (for "circa"), or RE. "Say" for EG, used to mean "for example". More obscure clue words of this variety include: "Model" for T, referring to the Model T.
Here is the answer to the Thursday, Jan. 23 puzzle as well as clues, vowels and the first letter. ... Drawing of the New York Times 'Wordle' game board with the words "hint of the day" on the ...