Their first general formulation is as follows : for any suitably restricted real function f \ colon S ^ n \ times X \ to \ mathbb { R }, there is a point of the-sphere such that the surface, dividing into and, simultaneously bisects the outer measure of.
32.
The concepts of " Dimension and outer measure " have experienced applications and further developments in many areas such as in the theory of dynamical systems, geometric measure theory, the theory of self-similar sets and fractals, the theory of stochastic processes, harmonic analysis, potential theory and number theory.
33.
Intuitively, this condition means that the set E must not have some curious properties which causes a discrepancy in the measure of another set when E is used as a " mask " to " clip " that set, hinting at the existence of sets for which the Lebesgue outer measure does not give the Lebesgue measure . ( Such sets are, in fact, not Lebesgue-measurable .)
How to say outer measure in Hindi and what is the meaning of outer measure in Hindi? outer measure Hindi meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.
