共查询到20条相似文献,搜索用时 15 毫秒
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G. Berishvili 《Journal of Mathematical Sciences》2012,186(5):713-714
In the present paper, we give some remarks on the well-known Jordan theorem and Hamiltonians. 相似文献
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Mathematische Zeitschrift - We show that the lower density of integers representable as a sum of a prime and a power of two is at least 0.107. We also prove that the set of integers with exactly... 相似文献
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Marco Caldarelli Giovanni Catino Zindine Djadli Annibale Magni Carlo Mantegazza 《Geometriae Dedicata》2010,145(1):127-137
By means of a Kaluza–Klein type argument we show that the Perelman’s F{mathcal{F}} -functional is the Einstein–Hilbert action in a space with extra “phantom” dimensions. In this way, we try to interpret some remarks of Perelman in the introduction and at the end of the first section in his famous paper (Perelman in The entropy formula for the Ricci flow and its geometric applications, 2002). As a consequence the Ricci flow (modified by a diffeomorphism and a time-dependent factor) is the evolution of the “real” part of the metric under a constrained gradient flow of the Einstein–Hilbert gravitational action in higher dimension. 相似文献
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《Expositiones Mathematicae》2023,41(2):451-460
We give an elementary exposition of the little known work of Harold Davenport related to Hasse’s inequality. We formulate a new conjecture suggested by this proof that has implications for the classical Riemann hypothesis. 相似文献
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We present sharp upper and lower bounds for the function \(\sin (x)/x\). Our bounds are polynomials of degree 2n, where n is any nonnegative integer. 相似文献
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On Hua-Tuan’s conjecture 总被引:2,自引:0,他引:2
Let G be a finite group and |G| = pn, p be a prime. For 0 m n, sm(G) denotes the number of subgroups of of order pm of G. Loo-Keng Hua and Hsio-Fu Tuan have ever conjectured: for an arbitrary finite p-group G, if p > 2, then sm(G) ≡ 1, 1 + p, 1 + p + p2 or 1 + p + 2p2 (mod p3). In this paper, we investigate the conjecture, and give some p-groups in which the conjecture holds and some examples in which the conjecture does not hold. 相似文献
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Philippe G. CIARLET 《数学年刊B辑(英文版)》2010,31(5):607-618
Two models based on the hydrostatic primitive equations are proposed. The first model is the primitive equations with partial viscosity only, and is oriented towards large-scale wave structures in the ocean and atmosphere. The second model is the viscous primitive equations with spectral eddy viscosity, and is oriented towards turbulent geophysical flows. For both models, the existence and uniqueness of global strong solutions are established. For the second model, the convergence of the solutions to the solutions of the classical primitive equations as eddy viscosity parameters tend to zero is also established. 相似文献
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V. A. Yudin 《Proceedings of the Steklov Institute of Mathematics》2011,273(1):188-189
It is established that H. Bohr’s inequality \(\sum\nolimits_{k = 0}^\infty {\left| {{{f^{\left( k \right)} \left( 0 \right)} \mathord{\left/ {\vphantom {{f^{\left( k \right)} \left( 0 \right)} {\left( {2^{{k \mathord{\left/ {\vphantom {k 2}} \right. \kern-\nulldelimiterspace} 2}} k!} \right)}}} \right. \kern-\nulldelimiterspace} {\left( {2^{{k \mathord{\left/ {\vphantom {k 2}} \right. \kern-\nulldelimiterspace} 2}} k!} \right)}}} \right| \leqslant \sqrt 2 \left\| f \right\|_\infty }\) is sharp on the class H ∞. 相似文献
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For β ∈ R, the authors consider the evolution system in the unknown variables u and α { ttu+ xxxxu+ xxtα+(β+|| xu||L2^2) xxu=f, ttα- xxα- xxtα- xxtu=0} describing the dynamics of type III thermoelastic extensible beams, where the dissipation is entirely contributed by the second equation ruling the evolution of the thermal displacement α. Under natural boundary conditions, the existence of the global attractor of optimal regularity for the related dynamical system acting on the phase space of weak energy solutions is established. 相似文献
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L. S. Kazarin 《Proceedings of the Steklov Institute of Mathematics》2014,285(1):91-98
Let H be a subgroup of a group G generated by a finite G-invariant subset X = tU i=1 k C i that consists of elements of finite order, where C i is a class of conjugate elements of G with representative a i . We prove that where o(a i ) is the order of the element a i ∈ C i . Best estimates are obtained for some important special cases.
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$$|H| \leqslant \prod\limits_{i = 1}^k {o(a_i )^{|C_i |} } ,$$
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Tsiu-Kwen Lee 《代数通讯》2017,45(7):2967-2968
We give a short proof of Litoff’s theorem from the viewpoint of completely reducible modules. 相似文献