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It is well known that harmonic function is smoothing invariant when convolved with the standard mollifier, which gives a quick proof of the smoothness of the harmonic function. In this talk, we will c...
近日,地球物理著名期刊《Geophysical Research Letters》正式刊发了中国地质大学胡祥云教授团队研究成果 -“Downward continuation and transformation of total-field magnetic anomalies into magnetic gradient tensors between arbitrary surfaces u...
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
We consider the derived category of a specific non-Noetherian ring \Lambda, and show that there are objects in D(\Lambda) that are not Bousfield equivalent to any module. This answers a question posed...
Generalized Nash Equilibrium problem is widely used but hard to solve. In this paper, we transform the generalized Nash game into a special bilevel programming with one leader and multi-followers by s...
Abstract: Let $X$ be a smooth complex projective variety with trivial Chow groups. (By trivial, we mean that the cycle class is injective.) We show (assuming the Lefschetz standard conjecture) that if...
Using a stable equivalence due to Rouquier, we prove that Brou´e’s abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of sim...
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As ap-plications, the first eigenvalue, the ...
Let L be a linear space of real bounded random variables on the probability space ( ,A, P0). There is a finitely additive probability P on A, such that P ∼ P0 and EP (X) = 0 for all X ∈ L.
We study how dynamical quantities such as Lyapunov exponents, metric entropy, topological pressure, recurrence rates, and dimension-like characteristics change under a time reparameterization of a dyn...
We refute the conjecture that all negative translations are intuitionistically equivalent by giving two counterexamples. Then we characterise the negative translations intuitionistically equivalent to...
In this work, a general wireless channel model for different types of code-division multiple access (CDMA) and space-division multiple-access (SDMA) systems with isometric random signature or precodi...
We construct holomorphic families of proper holomorphic embeddings of $\C^k$ into $\C^n$ ($0at for any two different parameters in the family no holomorphic automorphism of $\C^n$ can ...
In this short note we shall give connection between the most perfect "Khajuraho" magic square of order 4x4 discovered in 10th century and the "Lo-Shu" magic square of order 3x3 with the day October 1...

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