minkowski inequality sentence in Hindi
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- The Brunn Minkowski inequality asserts that the Lebesgue measure is log-concave.
- The Brunn Minkowski inequality also leads to Anderson's theorem in statistics.
- For p \ geq1, the Minkowski distance is a metric as a result of the Minkowski inequality.
- For " p " < ", the Minkowski inequality and the monotone convergence theorem imply that
- His results in this field include Milman's reverse Brunn Minkowski inequality and the quotient of subspace theorem.
- In mathematical analysis, the "'Minkowski inequality "'establishes that the L " p " spaces are normed vector spaces.
- H�lder's inequality is used to prove the Minkowski inequality, which is the triangle inequality in the space, and also to establish that is the dual space of for.
- :Numerous geometric inequalities, such as the Brunn & ndash; Minkowski inequality for convex bodies and Minkowski's first inequality, are special cases of the Alexandrov & ndash; Fenchel inequality.
- The proof on the inequality follows directly from Brunn-Minkowski inequality between a set S and a ball with radius \ epsilon, i . e . B _ \ epsilon = \ epsilon B _ 1.
- Milman's theorem states that one can replace one of the bodies by its image under a properly chosen volume-preserving linear map so that the left-hand side of the Brunn & ndash; Minkowski inequality is bounded by a constant multiple of the right-hand side.
- The proof of the Brunn Minkowski inequality predates modern measure theory; the development of measure theory and Lebesgue integration allowed connections to be made between geometry and analysis, to the extent that in an integral form of the Brunn Minkowski inequality known as the Pr�kopa Leindler inequality the geometry seems almost entirely absent.
- The proof of the Brunn Minkowski inequality predates modern measure theory; the development of measure theory and Lebesgue integration allowed connections to be made between geometry and analysis, to the extent that in an integral form of the Brunn Minkowski inequality known as the Pr�kopa Leindler inequality the geometry seems almost entirely absent.
- One can show that the Brunn Minkowski inequality for convex bodies in "'R " "'n " implies Minkowski's first inequality for convex bodies in "'R " "'n ", and that equality in the Brunn Minkowski inequality implies equality in Minkowski's first inequality.
- One can show that the Brunn Minkowski inequality for convex bodies in "'R " "'n " implies Minkowski's first inequality for convex bodies in "'R " "'n ", and that equality in the Brunn Minkowski inequality implies equality in Minkowski's first inequality.
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