I give a proof of the uniform boundedness theorem that is elementary (i.e., does not use any version of the Baire category theorem) and also extremely simple.doi:10.4169/amer.math.monthly.118.05.450Alan D. SokalMathematical Association of AmericaAmerican Mathematical Monthly...
Using mean vale inequality ∏ from i=1 to n ai~(1/n)≤1/n sum from i=1 to n ai,a aconcise method of proof for the important limit lim(1+1/n)~n n→∞ is given.Particularly,it is every aconcise to prove the boundedness of the sequence {(1+1/n)~n}.The elementary method ...
Our result implies that numerous boundedness and ... A. Finke,G Sutre - Mathematical Foundations of Computer Science: International Symposium 被引量: 26发表: 2000年 Eigenvalue Bounds for the Orr-Sommerfeld Equation and Their Relevance to the Existence of Backward Wave Motion. Theoretical esti...
(Almost) Real Proof of the Prime Number Theorem 来自 Semantic Scholar 喜欢 0 阅读量: 29 作者: M. Müger 摘要: We explain a fairly simple proof of the Prime Number Theorem that uses only basic real analysis and the elementary arithmetic of complex numbers. This includes the ζ-function ...
For example, the boundedness identity, a ^ 1 = a, can be proved by starting with a ^ 1, replacing 1 with a v ~a (due to complementation), then using absorption on a ^ (a v ~a) to get a.DeMorgan's theorem, on the other hand, seemed to be a much tougher nut to crack. ...
In this paper we prove a long-standing conjecture in the theory of two-weight norm inequalities. It was believed for quite a while that bumping $A_2$ condition by Orlicz norms one gets a sharp sufficient condition for the boundedness of ... F Nazarov,A Reznikov,S Treil,... 被引量: ...
The general restrictive features can be formulated as boundedness and locality conditions. The analysis is the topic of section 4.2 entitled Mechanical computors. Turing's reductive analysis will be critically examined in section 4.3 under the heading Turing's central thesis. Using Post's later ...
However, the proof is very hard! In this project we will prove this theorem, from a much more general theorem, which was recently proved by Christoph Thiele and his group (it has not been published yet at the moment). This generalization proves the boundedness of a generalized Carleson ...
Learn the monotone convergence theorem at BYJU’S. Click here to get the complete explanation of the monotone convergence theorem with the two cases and an example.
While this may make it difficult to prove some of the standard results in Malliavin calculus (boundedness of the derivative operator in $L^p$ spaces for example), we are able to bypass these and to replace them by weaker results that are still sufficient for our purpose. Second, we ...