short but complete version of Laplace's argument for an elementary proof of the following Stirling's formula [J. Stirling, Methodus Differentialis (London, 1730)]: Γ(α)≈[(α-1)/e] α-1 [2π(α-1)] 1/2 as α→
Berselli, Luigi CBisconti, LucaNonlinearityBerselli L. C., Bisconti L. (2013), An elementary proof of uniqueness of the particle trajectories for solutions of a class of shear- thinning non-Newtonian 2D fuids, Nonlinearity, 26, 1031-1047....
This article gives an elementary proof of the famous identity cotθ =(1/θ)+∑_(k=1)~∞2θ/(θ~2-k~2π~2), θ∈RπZ. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's ...
AnElementaryProofThataSimpleGroupofOrder360IsIsomorphismtoA6 FengZhou,XingzhongXu,JunLiao,HeguoLiu*DepartmentofMathematics,HubeiUniversity,Wuhanmail:thoufeng@163com,*ghliu@hubueducn Received:Dec1st,2013;revised:Dec15th,2013;accepted:Dec18th,2013
Although it seems clear that he is intending to draw attention to a certain fact that should lead anyone to trust on its irrationality, certainly this «proof by simplicity» (I take the term from Serfati (2018, p. 180)) seems too vague to be taken seriously. But, more surprisingly,...
2.2.1 Two-body entanglement of pure states The most elementary problem in the theory of entangled states is to decide whether a pure state |Ψ⟩ of a two-body system is of the form of Eq. (2.24), or not, i.e., if it is separable or entangled. This question has a straightforward...
4A proof of this claim is given in ref. [2]. –5– where nˆ is chosen to maximize T and is known as the thrust axis, thrust ranges from T = 0.5 for an isotropic event to T = 1 for two back-to-back particles. A downside of this variable is the computationally expensive ...
·.Here, the powers of q are of the form (−1) n−1 n(n − 1)/2 − n + 1.In [1], this statement was proven using heavy machinery from q-analysis.Happily, after about 8 years, I was now successful to provide a complete elementaryproof that I will present in the next ...
内容提示: arXiv:1103.3718v1 [math.AP] 18 Mar 2011AN ELEMENTARY PROOF OF THE CONTINUITY FROM L 20 (Ω) TO H 1 0 (Ω) nOF BOGOVSKII’S RIGHT INVERSE OF THE DIVERGENCERICARDO G. DUR ´ ANAbstract. The existence of right inverses of the divergence as an operator form H 10 (...
An Elementary Proof of a Theorem of Johnson and Lindenstrauss O网页链接 约翰逊-林登斯特劳斯定理(Johnson–Lindenstrauss theorem)证明。Johnson–Lindenstrauss定理:一个高维空间中的点集,可以被线性地镶嵌到低维空间中,同时其空间结构只遭受比较小的形变[6]。约翰逊-林登斯特劳斯定理的证明,还说明了如何用随机投影法...