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The first crossword puzzle in ancient Greek appeared in April 2015 as an annex to the 9th issue of Hebdomada Aenigmatum. It developed into a separate magazine [ 6 ] with the name of Ὀνόματα Kεχιασμένα ( Onomata Kechiasmena ).
Any non-trivial solution to x p + y p = z p (with p an odd prime) would therefore create a contradiction, which in turn proves that no non-trivial solutions exist. [ 18 ] In other words, any solution that could contradict Fermat's Last Theorem could also be used to contradict the modularity theorem.
Trivial may also refer to any easy case of a proof, which for the sake of completeness cannot be ignored. For instance, proofs by mathematical induction have two parts: the "base case" which shows that the theorem is true for a particular initial value (such as n = 0 or n = 1), and the inductive step which shows that if the theorem is true for a certain value of n, then it is also true for the ...
The abbreviation is not always a short form of the word used in the clue. For example: "Knight" for N (the symbol used in chess notation) 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.
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A crossword puzzle. In a paper and pencil game, players write their own words, often under specific constraints. For example, a crossword requires players to use clues to fill out a grid, with words intersecting at specific letters. Other examples of paper and pencil games include hangman, categories, Boggle, and word searches.
Riemann knew that the non-trivial zeros of the zeta function were symmetrically distributed about the line s = 1/2 + it, and he knew that all of its non-trivial zeros must lie in the range 0 ≤ Re(s) ≤ 1. He checked that a few of the zeros lay on the critical line with real part 1/2 and suggested that they all do; this is the Riemann hypothesis.
This does not hold in general for infinite groups; for example, the rational numbers form a characteristically simple group that is not a direct product of simple groups. A minimal normal subgroup of a group G is a nontrivial normal subgroup N of G such that the only proper subgroup of N that is normal in G is the trivial subgroup. Every ...