Collision Problem
The r-to-1 collision problem is an important theoretical problem in complexity theory, quantum computing, and computational mathematics. The collision problem most often refers to the 2-to-1 version: given even and a function, we are promised that f is either 1-to-1 or 2-to-1. We are only allowed to make queries about the value of for any . The problem then asks how many such queries we need to make to determine with certainty whether f is 1-to-1 or 2-to-1.
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Famous quotes containing the words collision and/or problem:
“When the wind carries a cry which is meaningful to human ears, it is simpler to believe the wind shares with us some part of the emotion of Being than that the mysteries of a hurricane’s rising murmur reduce to no more than the random collision of insensate molecules.”
—Norman Mailer (b. 1923)
“What had really caused the women’s movement was the additional years of human life. At the turn of the century women’s life expectancy was forty-six; now it was nearly eighty. Our groping sense that we couldn’t live all those years in terms of motherhood alone was “the problem that had no name.” Realizing that it was not some freakish personal fault but our common problem as women had enabled us to take the first steps to change our lives.”
—Betty Friedan (20th century)