4) By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

The authors study the fundamental sequence of closed regular fuzzy matroids,and find some results concerning fundamental sequence:⑴some sufficient conditions of the fundamental sequence of closed regular fuzzy matroids;

The fundamental sequence, fuzzy bases and its algorithm, fuzzy circuits and its algorithm are studied in this thesis are all important topics in the research fields of fuzzy matroids. They enrich the theory of fuzzy matroids and it is very useful for them to push the change of fuzzy matroid from basic research to application research.

Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows:1) The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid.

According to the composition of RNA secondary structure,the RNA secondary structure is transformed into basic sequence by A′, U′, G′, C′ representing the A, U, G, C in the base-pairs of A-U, G-C and G-U, and we call it the characteristic sequence.

A summary of FCSR sequence was given,based on relations among FCSR sequence, 2-adic number and rational number with odd denominator,2-adic complexity,rational approximation algorithm and L-sequence were introduced,commentaries of their applications in stream cipher such as new index,basic sequence were given.

Conclusion DWI has imoportant value in distinguishing between brain abscess and necrotic and/or cystic brain tumor. It should be used as a basic sequence as other conventional MRI sequences.

Results Comparing with AB008394, the homology of TTV DNA sequence in the 11 samples was over 90%. However, its was only 87.1 % in Mongolian patients with hepatitis.

In every ∞-dimensional separable Banach spaceX there is a fundamental sequence such that no subsequence of it, which is fundamental inX, is independent ("{xn} is fundamental inX" meansX=span {xn}).

The fundamental sequence of mating behaviour for these species was the same.

On weighted spaces with a fundamental sequence of bounded sets

In each FIR H-R diagram of YSOs of three nearby star-forming regions, YSOs in early evolutionary phase form a fundamental sequence, along which they move with increasing of the luminosity while keeping the mass of FIR emitting envelope.

A is a fundamental sequence in some constructive metric space and Ω is a regulator of its convergence into itself.

A rational and systematic approach to method development is presented in this report, following the basic sequence of a tutorial presented at the recent International Symposium on Chromatography in Leipzig.

The experimental and numerical results are in good agreement regarding this basic sequence of mode transitions, and the numerics are then used to study some of the finer details of the solutions that could not be observed in the experiment.

Within each group is the basic sequence, those which require a preparation of the magnetization, those which use multiple echoes to fill the k-space and those which are performed in a single shot.

The basic sequence was a T2-weighted single-shot half Fourier (HASTE) technique.

However the basic sequence of changes in puffing activity which occurs during late larval and prepupal development is very similar to that of D.

A natural notion of Cauchy sequence is introduced and Cauchy completeness is proved.

This paper develops a new algorithm, based on wave-front tracking, which yields a Cauchy sequence of approximate solutions, converging to a unique limit depending continuously on the initial data.

This paper considers the problem of defining Cauchy sequence and completeness in quasi-pseudo-metric spaces.

It is proved that a sequence (fn) of normal states on a maximal Op*-algebra L+(D) converges to a normal state if fn(A) is a Cauchy sequence for allA ?L+(D), while D satisfies some additional condition.

A normed space X is called complete if every Cauchy sequence in X converges to a point in X.

This paper applies the Sequential Quadratic Programming(SQP) approach to structural dynamic optimization problems subject to constraints on multi-natural frequencies and dynamic response. The iteration algorithm based on SQP, which executes the frequency adjusting step and weight reducing step alternatively, enables us to deal with the initial infeasible design effectively. Further, we implement the coarse line search to define the step-length and adaptive move limit and make the algorithm stable and robust....

This paper applies the Sequential Quadratic Programming(SQP) approach to structural dynamic optimization problems subject to constraints on multi-natural frequencies and dynamic response. The iteration algorithm based on SQP, which executes the frequency adjusting step and weight reducing step alternatively, enables us to deal with the initial infeasible design effectively. Further, we implement the coarse line search to define the step-length and adaptive move limit and make the algorithm stable and robust. The effectiveness of the algorithm is demonstrated by several numerical examples.

An investigation was made on background value of Cu, Zn, Pb, Cd, Ni, Cr, Hg, and As as well as F, Mo, Co, Ti in 36 main soils in Beijing, downs- tream of Yellow river, east Shandong Peninsula, Taihu basin, Shanxi province, west Sichuan Plain, Chongqing and part of Xinjiang and Guizhou province. After rejecting the outlying value and testing the distribution type, background value was presented depending on distibution type. Results showed that contents of Cu, Zn Pb, Cd, Ni, Cr As and Hg were within the range...

An investigation was made on background value of Cu, Zn, Pb, Cd, Ni, Cr, Hg, and As as well as F, Mo, Co, Ti in 36 main soils in Beijing, downs- tream of Yellow river, east Shandong Peninsula, Taihu basin, Shanxi province, west Sichuan Plain, Chongqing and part of Xinjiang and Guizhou province. After rejecting the outlying value and testing the distribution type, background value was presented depending on distibution type. Results showed that contents of Cu, Zn Pb, Cd, Ni, Cr As and Hg were within the range reported and varied with soil type and region concerned. The basic order of 8 elements content was Zn>Cr>Ni>Pb>As>Cd>Hg although it was influenced by soil parent and climate condition greatly. Position replacement of neighbouring element was related to soil formation condition and agricultural practices. The order of general average background of 8 element in soil in studied regions was Yellow earth, Middle-north of Guizhou>Paddy soil, west of Sichuan>Paddy soil, Taihu basin>Purple soil, east of Sichuan>Lou soil, Shanxi>Warping soil, Xinjiang>Loessel soil, north of Shanxi>Chao soil, downstream of Yellow River>Drab soil, Beijing>Brown soil, east of Shandong. Correlation analysis showed that 82% of element pair was in significant level for 36 soils except As. Elements content in soils were lowered gradually from topsoil to subsoil, op- posite result was obtained for purple soil from Chongqing, Sichuan Province. The distribution of element in soil profile was related to the characteristics of elements, soil parent, topography, climate and intensity of geological leaching and biological accumulation. It was also found that topography and geomorphy, soil parent, water system, soil texture etc. influenced background value of soil element significantly.

The article introduces the notion of order into abstract field,at the same time establishes the notion called the ordered field and proves its some properties, the comparison of the ordered field with the field of real numbers will certainly deduce the density and real property of the ordered field. After the fundamental sequence and its limit are defined .broad prospect for the introduction of the real analysis into the ordered field will be opened up. In the end. the well-known example of application of the...

The article introduces the notion of order into abstract field,at the same time establishes the notion called the ordered field and proves its some properties, the comparison of the ordered field with the field of real numbers will certainly deduce the density and real property of the ordered field. After the fundamental sequence and its limit are defined .broad prospect for the introduction of the real analysis into the ordered field will be opened up. In the end. the well-known example of application of the ordered field is quoted,so as to show the following argument:the method of scientific abstract can still more systematically. perfectly and intrinsically reflect objective laws in some concrete matters.