نتایج جستجو برای: cauchy schwarz represen tation
تعداد نتایج: 15017 فیلتر نتایج به سال:
We prove a range of $$L^p$$ bounds for singular Brascamp–Lieb forms with cubical structure. pass through sparse and local bounds, the latter proved by an iteration Fourier expansion, telescoping, Cauchy–Schwarz inequality. allow $$2^{m-1}<p\le \infty $$ m dimension cube, extending earlier result that required $$p=2^m$$ . The threshold $$2^{m-1}$$ is sharp in our theorems.
Abstract The orbit space for a scalar field in complex square matrix representation obtains Minkowski structure from the Cauchy–Schwarz inequality. It can be used to find vacuum stability conditions and minima of potential. method is suitable fields such as bidoublet, an SU (2) triplet or (3) octet. We use formalism left-right symmetric potential bidoublet left right Higgs doublets.
We derive strong variance-based uncertainty relations for arbitrary two and more unitary operators by re-examining the mathematical foundation of relation. This is achieved strengthening celebrated Cauchy–Schwarz inequality using a method brackets convex functions. The outperform several relations, notably better than some recent best lower bounds such as [Phys. Rev. Lett. 120, 230402 (2018)] A...
The Cauchy-Schwarz (CS) inequality-one of the most widely used and important inequalities in mathematics-can be formulated as an upper bound to the strength of correlations between classically fluctuating quantities. Quantum-mechanical correlations can, however, exceed classical bounds. Here we realize four-wave mixing of atomic matter waves using colliding Bose-Einstein condensates, and demons...
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