In mathematics, the term local analysis has at least two meanings - both derived from the idea of looking at a problem relative to each prime number p first, and then later trying to integrate the information gained at each prime into a 'global' picture. These are forms of the localization approach.
Other articles related to "local analysis, local":
... This kind of local analysis provides conditions for solution that are necessary ... In cases where local analysis (plus the condition that there are real solutions) provides also sufficient conditions, one says that the Hasse principle holds this is the best possible situation ... Some form of local analysis underlies both the standard applications of the Hardy-Littlewood circle method in analytic number theory, and the use of adele rings, making this ...
... The condition of having no fixed prime divisor is purely local (depending just on primes, that is) ... integer-valued polynomials with no local obstruction to taking infinitely many prime values is conjectured to take infinitely many prime values ...
Famous quotes containing the words analysis and/or local:
“Ask anyone committed to Marxist analysis how many angels on the head of a pin, and you will be asked in return to never mind the angels, tell me who controls the production of pins.”
—Joan Didion (b. 1934)
“There is the falsely mystical view of art that assumes a kind of supernatural inspiration, a possession by universal forces unrelated to questions of power and privilege or the artists relation to bread and blood. In this view, the channel of art can only become clogged and misdirected by the artists concern with merely temporary and local disturbances. The song is higher than the struggle.”
—Adrienne Rich (b. 1929)