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What is the lowest possible average-case time complexity of Shellsort with a deterministic fixed gap sequence? Can 3SUM be solved in strongly sub-quadratic time, that is, in time O(n 2−ϵ) for some ϵ>0? Can the edit distance between two strings of length n be computed in strongly sub-quadratic time?
For functions in certain classes, the problem of determining: whether two functions are equal, known as the zero-equivalence problem (see Richardson's theorem); [5] the zeroes of a function; whether the indefinite integral of a function is also in the class. [6]
The expression problem is a challenging problem in programming languages that concerns the extensibility and modularity of statically typed data abstractions. The goal is to define a data abstraction that is extensible both in its representations and its behaviors, where one can add new representations and new behaviors to the data abstraction, without recompiling existing code, and while ...
Undeciphered writing systems (6 C, 18 P) Pages in category "Undeciphered historical codes and ciphers" The following 19 pages are in this category, out of 19 total.
Unsolved! The History and Mystery of the World’s Greatest Ciphers from Ancient Egypt to Online Secret Societies is a 2017 book by American mathematician and cryptologist Craig P. Bauer. The book explores the history and challenges of various unsolved ciphers , ranging from ancient scripts to modern codes and puzzles.
The partially decomposed body of Ricky McCormick was discovered in a field in St. Charles County, Missouri on June 30, 1999. Sheriffs found two garbled hand-written notes – apparently written in secret code – in the victim's pockets, and these were handed over to the FBI for further investigation.
The lower bound of multiplications needed is 2mn+2n−m−2 (multiplication of n×m-matrices with m×n-matrices using the substitution method, m⩾n⩾3), which means n=3 case requires at least 19 multiplications and n=4 at least 34. [40] For n=2 optimal 7 multiplications 15 additions are minimal, compared to only 4 additions for 8 multiplications.
All cases of the form (2, 3, n) or (2, n, 3) have the solution 2 3 + 1 n = 3 2 which is referred below as the Catalan solution. The case x = y = z ≥ 3 is Fermat's Last Theorem , proven to have no solutions by Andrew Wiles in 1994.