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The hidden subgroup problem (HSP) is a topic of research in mathematics and theoretical computer science. The framework captures problems such as factoring , discrete logarithm , graph isomorphism , and the shortest vector problem .
Simon's problem considers access to a function : {,} {,}, as implemented by a black box or an oracle. This function is promised to be either a one-to-one function, or a two-to-one function; if is two-to-one, it is furthermore promised that two inputs and ′ evaluate to the same value if and only if and ′ differ in a fixed set of bits. I.e.,
The discrete logarithm algorithm and the factoring algorithm are instances of the period-finding algorithm, and all three are instances of the hidden subgroup problem. On a quantum computer, to factor an integer N {\displaystyle N} , Shor's algorithm runs in polynomial time , meaning the time taken is polynomial in log N {\displaystyle \log ...
Florida’s Education Department released four examples of portions of math books it rejected last Friday, saying the texts referred to critical race theory, or C
Covert racism is a form of racial discrimination that is disguised and subtle, rather than public or obvious. Concealed in the fabric of society, covert racism discriminates against individuals through often evasive or seemingly passive methods. [1]
A core-free subgroup is a subgroup whose normal core is the trivial subgroup. Equivalently, it is a subgroup that occurs as the isotropy subgroup of a transitive, faithful group action. The solution for the hidden subgroup problem in the abelian case generalizes to finding the normal core in case of subgroups of arbitrary groups.
This list does not include pre-1945 organizations founded either before or during World War II; "neo-Nazi" literally means "new Nazi". Additionally, this list does not include musical artists, record labels or music festivals associated with the neo-Nazi movement.
This was decades before John Hughes movies were being re-evaluated for not aging well and Green Book, a film about a gay Black pianist touring the 1960s Deep South, was instantly being called ...