Break Down of Vertical-Bloch-Line Chains in the First Kind of Dumbbell Domain Walls Subjected to an in-Plane Field

Experiments were statistically carried out on the behavior of the vertical-Bloch-line(VBL)chains of the first kind of dumbbell domains(IDs)in garnet bubble films subjected to an in-plane field,Hip.It was found that for IDs the critical in-plane field,(Hip)ID,above which their VBL chains disappear,is the same as that of ordinary hard bubbles(OHBs),H'ip.However,for IDS,the critical range of Hip for VBL chain softening is larger than that of OHBs.Besides,we also found some details of the softening process,e.g.,the collapse field range of the remaining IDs shrinks rapidly towards H_(0,mas),and this very narrow range can maintain until all IDs are softened.

Reverse of Dumbbell Rotation in Garnet Bubble Films

The bias field dependence of the rotation direction of the dumbbells,contracted from multi-branched domains,was experimentally studied.Moreover,it was found that the rotation direction of these dumbbells can be reversed by increasing the amplitude of the testing bias pulses with quite narrow width.

Tiny Tme： An Inquiry after 80s＇ Dilemma of Value and Individual Highlights

The film Tiny Tme tries to disassemble the generation after 1980s. After the city occupation cluster sign, the new group has gradually become the mainstream of modem urban life, a time to give mixed characteristics.

Nonlinear boundary value problem for biregular functions in Clifford analysis

The biregular function in Clifford analysis is discussed. Plemelj’s formula is obtained andnonlinear boundary value problem: is considered. Applying the methodof integral equations and Schauder fixed-point theorem, the existence of solution for the above problem is proved.

SYNTHESIS OF LANSFORDITE MgCO_3·5H_2O AND ITS CRYSTAL STRUCTURE INVESTIGATION

Euhedral crystals of the uncommon low-temperature mineral lansfordite have been obtained by the synthetic method, and the crystal structure analysis has been accomplished correspondingly. The structural parameters and the general view of structure were presented for the first time. The results obtained show that the coordination configuration of two magnesium ions in the unit cell is octahedral arrangement and the coordination number is 6, but in two forms: one in the complex ion Mg(CO_3)_2(H_2O)_4^(2-) and the other in the Mg(H_2O)_6^(2+). There is only a CO_3^(2-) group in the structure, not three distinct groups as reported by Hill et al. previously based on the IR absorption spectrum research data. The authors of this paper believe that the exact chemical formula of lansfordite should be expressed as 'Mg(H_2O)_6. Mg(CO_3)_2 (H_2O)_4', and MgCO_3-5H_2O is only a simple chemical expression.

THE NONEXISTENCE OF EXPANSIVE FLOW ON A COMPACT 2-MANIFOLD

This paper makes some investigation to the qūestion whether there exists an expansiveflow on some compact metric space.The main result is that there exists no expansive flowon a compact 2-manifold.

ON NUMERICAL RANGES AND ESSENTIAL NUMERICAL RANGES OF ELEMENTARY OPERATORS

Let B（H） be all bounded operators on a Hilbert space H and let C2 denote the class of all Hilbert-Schmidt operators on H. An elementary operator X on the algebra B（H） is of the

THE RELATION BETWEEN THE BORDISM CLASS OF MANIFOLDS WITH INVOLUTION AND THE BORDISM CLASS OF ITS FIXED POINT SET

In [1], C. Kosniowshi and R. E. Stong have pointed out that the bordism class of fixed point set can determine nothing about manifold with involution. In this note, we are to consider the case of (M2n-k, T)（k=1, 2, 3, 4）whose fixed point set is constant codimension. The major result is:

MANIFOLDS WITH INVOLUTIONS WHOSE FIXED POINT SET HAS CONSTANT CODIMENSION

Let (M^n, T) be a smooth involution T on a closed manifold M^n. The fixed point set of T has a constant codimension k. Let J_n^k be the set of n-dimensional cobordism class in MO_n (unoriented cobordism group), which has such a representative. In this paper, we obtain a necessary and sufficient condition of α∈J_n^(2k), α∈J_n^(2l+1) for 2k≤40, 2t+1≤19.

MANIFOLDS WITH INVOLUTION Ⅱ

We have determined some Jnk1,…, Kl. Here, we continue this work. We use the symbols similar to [1]. In the proof of [1, Lemma 2.2 ], we do not use the condition n】d1. Hence, the statement of Lemma 2.2 can be changed as follows.

Morphology, structure and Raman scattering of carbon nanotubes produced by using mesoporous materials

Carbon nanotubes were prepared by chemical vapor deposition (CVD) of hydrocarbon gas on various substrates.The effect of substrates on the growth,morphology and structure of carbon nanotubes were investigated.Aligned carbon nanotubes with high density and purity were achieved by CVD on mesoporous silica substrate.The Raman scattering of aligned carbon nanotubes was carried out,and the dependence of the phonon properties on the mi-crostructure of the nanotubes has been discussed.

MANIFOLDS WITH INVOLUTION WHOSE FIXED POINT SET F HAS THE PROPERTY W(F)=1

Ⅰ. INTRODUCTIONC. Konsniowski and R. E. Stong have posed a conjecture: every (M^n, T) whose fixed point set F has W(F)=1 is bordant to a polynomial forming as (RP(2~S), τ(2~S)). In this note, we

Constant and steplike behavior of the cross-section dimension ofSi quantum wires and quantum confinement effect inporous silicon formation

Silicon is an indirect semiconductor with a band-gap of 1.11 eV.Therefore,there isno optical recombination in bulk silicon in the visible region.Porous silicon(PS)preparedby anodic oxidation at constant current density in HF solution has aroused great researchinterest since Canham reported its strong visible photoluminescence(PL)at roomtemperature in 1990.Many experimental results indicated that PL of PS is mainlyattributed to the quantum confinement effect(QCE)in PS layer.Unlike the lay-

Bloch theorem for the evolution of states in a cyclic quantum system and a new type of quantum phases

It is found that in a quantum system with cyclic Hamiltonian the time-dependent Schrodinger equation admits the Bloch type solutions which have the form of Bloch function with respect to the time. These solutions constitute an orthonormal basis of the solution space and lead to a new type of quantum phases. The new phases, called Bloch phases by the authors, are the special Aharonov-Anandan phases, and reduce to the Berry phases under the adiabatic approximation if the degeneracy of instantaneous eigen-energy is time-independent. The above conclusions are proved and calculation for the evolution of spin magnetic moments in a magnetic field precessing with constant angular velocity is exemplified.

OSCILLATION CRITERIA FOR SECOND ORDER NEUTRAL DIFFERENCE EQUATION WITH CONTINUOUS VARIABLE

In this paper, we are concerned with the second order neutral difference equation with continuous variable. Using the integral transformation and generalized Riccati transformation, we obtain some oscillation criteria.