Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...
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Sebestyen’s theorem crosses into infinity after 40 years of mathematical limits
A classic math rule now handles infinity. New work strengthens the math behind physics and unbounded systems. % ...
Yosra Barkaoui’s doctoral dissertation in mathematics at the University of Vaasa, Finland, has successfully generalised a fundamental theorem that has been limited to the bounded case. The research ...
For more than 350 years, a mathematics problem whose solution was considered the Holy Grail to the greatest mathematician minds had remained unsolved. Now, a team of mathematicians led by a prominent ...
During my time as an eager undergraduate mathematician, I’d often wonder what it would feel like to prove a truly new result and have my name immortalised in the mathematical history books. I thought ...
The minimax inequality $\min_x \sup_y f(x, y) \leqslant \sup_x f(x, x)$, proved by K. Fan for convex spaces, is proved here for certain contractible and acyclic spaces. Some variational inequality and ...
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