Science China Mathematics
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Preparation of very long and open aligned carbon nanotubes
Science China Mathematics - Tập 43 - Trang 210-216 - 2000
Very long and open aligned carbon nanotubes that reach about 2 mm long, an order of magnitude longer than previously reached, have been prepared by chemical vapor deposition over silica dioxide substrates on the surface, where iron/silica nano-composite particles are evenly positioned. The nanotubes are naturally opened at the bottom ends. The growth mechanism of the very long and openended nanotu......
Experimental studies of axial magnetic fields generated in ultrashort-pulse laser-plasma interaction
Science China Mathematics - Tập 43 - Trang 1312-1317 - 2000
The quasistatic axial magnetic fields in plasmas produced by ultrashort laser pulses were measured by measuring the Faraday rotation angle of the backscattered emission. The spatial distribution of the axial magnetic field was obtained with a peak value as high as 170 Tesla. Theory suggests that the axial magnetic field is generated by dynamo effect in laser-plasma interaction.
Noise control and utility: From regulatory network to spatial patterning
Science China Mathematics - - 2020
Stochasticity (or noise) at cellular and molecular levels has been observed extensively as a universal feature for living systems. However, how living systems deal with noise while performing desirable biological functions remains a major mystery. Regulatory network congurations, such as their topology and timescale, are shown to be critical in attenuating noise, and noise is also found to facilit......
Problem of invariant subspaces in C*-algebras
Science China Mathematics - - 2002
Let A be a separable simple C*-algebra. For each ;) on A such that π(a) has a non-trivial invariant subspace in Hπ.
Method for enhancing the mixing of a compressible mixing layer
Science China Mathematics - Tập 43 - Trang 1332-1339 - 2000
Numerical simulations have been done for a compressible mixing layer, in which the inflow speed on the low speed side was made to have periodic undulations, so as to see if this method could enhance the mixing effect of the layer. Systematic computations for a 2-D compressible mixing layer with Mach numberM
e
= 0.6 have been done, and the results......
The complete principal divisor lattices
Science China Mathematics - Tập 53 - Trang 2159-2172 - 2010
In this paper, we introduce a concept of principal divisor lattice and describe the structure of its elements. We first give a necessary and sufficient condition for the existence of irredundant join irreducible decompositions in complete principal divisor distributive lattices, and prove that the complete lower continuous, principal divisor lattices have irredundant join irreducible decomposition......
Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails
Science China Mathematics - Tập 53 - Trang 1421-1434 - 2010
This paper studies the moderate deviations of real-valued extended negatively dependent (END) random variables with consistently varying tails. The moderate deviations of partial sums are first given. The results are then used to establish the necessary and sufficient conditions for the moderate deviations of random sums under certain circumstances.
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......
On nodal prime Fano threefolds of degree 10
Science China Mathematics - Tập 54 - Trang 1591-1609 - 2011
We study the geometry and the period map of nodal complex prime Fano threefolds with index 1 and degree 10. We show that these threefolds are birationally isomorphic to Verra threefolds, i.e., hypersurfaces of bidegree (2, 2) in P
2 × P
2. Using Verra’s results on the period map for these threefolds and on the Prym map for double étale covers of plan......
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