Science China Mathematics
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Progress in the studies of “solar activity and its geo-space Effects”
Science China Mathematics - Tập 45 - Trang 1-3 - 2002
Observability inequalities for thin shells
Science China Mathematics - Tập 46 - Trang 300-311 - 2003
We consider the exact controllability problem from boundary for thin shells. Under some checkable geometric assumptions on the middle surface, we establish the observability inequalities via the Bochner technique for the Dirichlet control and the Neumann control problems. We also give several examples to verify the geometric assumptions.
W-translated Schubert divisors and transversal intersections
Science China Mathematics - Tập 65 - Trang 1997-2018 - 2022
We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety
$$F{\ell _{{n_1}, \ldots,{n_k};n}}$$
via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimensions intersect transversally up to translation by Weyl group ...... hiện toàn bộ
A modified BFGS algorithm based on a hybrid secant equation
Science China Mathematics - Tập 54 - Trang 2019-2036 - 2011
By making a convex combination of the modified secant equations proposed by Yuan and Wei et al., a hybrid secant equation and also, a modified BFGS algorithm is proposed. The hybridization parameter is effectively computed using the available information of recent iterations. Under proper conditions, it is shown that the proposed algorithm is globally, locally and superlinearly convergent. By usin...... hiện toàn bộ
Remarks on the rank properties of formal CR maps
Science China Mathematics - Tập 49 - Trang 1477-1490 - 2006
We prove several new transversality results for formal CR maps between formal real hypersurfaces in complex space. Both cases of finite and infinite type hypersurfaces are tackled in this note.
Synthesis and micro-structural study of one-dimensional nano-materials
Science China Mathematics - Tập 42 - Trang 429-437 - 1999
Silicon nano-wires (SiNWs) and boron nitride nano-tubules (BN-NTs) were successfully synthesized by excimer laser ablation at high temperature. These one-dimensional nano-materials synthesized by this method have a very high yield, a uniform diameter distribution, and a high purity. Micro-structures of these nano-materials were investigated by transmission electron microscopy (TEM). The SiNWs have...... hiện toàn bộ
Solvability of monotone tensor complementarity problems
Science China Mathematics - Tập 66 - Trang 647-664 - 2022
The tensor complementarity problem is a special instance in the class of nonlinear complementarity problems, which has many applications in multi-person noncooperative games, hypergraph clustering problems and traffic equilibrium problems. Two most important research issues are how to identify the solvability and how to solve such a problem via analyzing the structure of the involved tensor. In th...... hiện toàn bộ
Central limit theorem for integrated square error of kernel estimators of spherical density
Science China Mathematics - Tập 44 - Trang 474-483 - 2001
LetX
1,…,X
n
be iid observations of a random variableX with probability density functionf(x) on the q-dimensional unit sphere Ωq in Rq+1,q ⩾ 1. Let
$$f_n (x) = n^{ - 1} c(h)\sum\nolimits_{i = 1}^n {K[(1 - x'X_i )/h^2 ]} $$
be a kernel e...... hiện toàn bộ
Algorithms for computing the global infimum and minimum of a polynomial function
Science China Mathematics - Tập 55 - Trang 881-891 - 2011
By catching the so-called strictly critical points, this paper presents an effective algorithm for computing the global infimum of a polynomial function. For a multivariate real polynomial f, the algorithm in this paper is able to decide whether or not the global infimum of f is finite. In the case of f having a finite infimum, the global infimum of f can be accurately coded in the Interval Repres...... hiện toàn bộ
Production and identification of new neutron-deficient isotope235Am in region of transuranium
Science China Mathematics - Tập 40 - Trang 323-327 - 1997
A new transuranium neutron-deficient isotope235Am was produced by 35 MeV proton to bombard the rare radioactive238Pu target. The products were transported and collected by the He-jet system. The Am isotopes were separated and purified by radiochemistry method and the y-ray, X-ray and y-X(y) coincidence of the samples was measured. The synthesis of235Am was definitely identified. Its measured half-...... hiện toàn bộ
Tổng số: 2,986
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