The characters such as thickness of leaves, thickness of bundle, thickness of spongy tissue, stoma density, thickness ratio of xylem to phloem, thickness of palisade tissue, and thickness ratio of spongy to palisade tissue (S/P), were called the key anatomical characters in that they had great variation among species and habitats.

For the Fibonacci sequence {Fn} and positive integer m,the new sequence {an} which composed of least non-negative residue an of module m on Fn is called modular sequence of Fibonacci sequence.

A proper k-total coloringf of G(V,E) is said to be a k-equitable total coloring of graph G(V,E),if the number of vertices and edges in any two color classes differ at most one. χet(G)=min{k| G has a k-equitable total coloring} is called the equitable total chromatic number of G.

It is called a subgroup H of a group G s-conditionally permutable in G if for every Sylow subgroup T of G there exists an element x∈G such that HT~x =T~XH. This paper uses s-conditionally permutable subgroups to determine the structure of some groups.

An operator f : Sn(F) → Sn(F) is said to be additive if f(A + B) = f(A) + f(B) for any A,B ∈ Sn(F), and is called a preserver of rank on Sn(F) if rankf(X) =rankX for every X ∈ Sn(F).

Motivated by the need for the effective modeling and optimization of hybrid system,a type of hybrid Petri nets model called general hybrid Petri nets(GHPNs) is defined.

A new particle filter algorithm called unscented particle filter(UPF) algorithm was given based on the analysis of each algorithm's characteristic and the combination of PF's and UKF's advantages,and it was applied to GPS/DR integrated navigation system.

This paper considers the problem of outlier detection in data stream, proposes a new metric called weighted frequent pattern outlier factor for categorical data streams, and presents a novel fast outlier detection algorithm named FODFP-Stream (fast outlier detection for high dimensional categorical data streams based on frequent pattern).

提出类别属性数据流数据离群度量——加权频繁模式离群因子(weighted frequent pattern outlier factor,简称WFPOF),并在此基础上给出一种快速数据流离群点检测算法FODFP-Stream(fast outlier detection for high dimensional categorical data streams based on frequent pattern).

Such an action is called linearizable if it is equivalent to the restriction of a linear orthogonal action in the ambient affine space of the quadric.

An algebraicG-varietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothG-invariant divisors having a non void transversal intersection;G has 2r orbits inX.

A special component of the tensor product is the so-called Cartan component Vλ+μ which is the component with maximal highest weight.

In particular, we show that an adjoint orbit of U in u contains a unique so-called minimal representative.

The homogeneous space X is called commutative or the pair (G, K) is called a Gelfand pair if the algebra of G-invariant differential operators on X is commutative.

In this paper the writer employs complex Riemannian Geometry and defines the absolute interval between two points as consisting of a real part and an imaginary part. Two postulates (I) and (II) are used: the first may be called law of gravitation and electro-magnetism; the second equation of motion. In the absence of electromagnetic phenomena the theory reduces practically to Einstein's theory.

A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two...

A newly developed synthesis of X-ray data for crystal analysis, called the point diagram synthesis, is compared with the classical Fouriers. The fundamental assumption in the method s first explained. A correlation matrix of index 10 is then quoted. Some mathematical properties of the correlation matrices, that is, the absolute convergence, and the h and μ-summation rules are described and illustrated. The method is next applied in parallel with the Fouriers to an arbitrary structure along with its two component structures. The crystal NaCl is next studied, using the actual experimental data. It is shown that on the basis of exactly the same experimental data the inormation given by the two types of syntheses are entirely different. Conclusions about the method drawn in the previous articles are then discussed in the light of the new studies and approved once more.

A method based upon simple diffraction theory is described for the calculation of modified paraboloid reflectors to produce from a point source a shaped beam of arbitrary shape in one plane and uniformly narrow in the perpendicular planes. A specific application of the shaped beam antennas is in connection with radar antennas designed for height finding. In this case the antenna must have a sharp elevation beam for obtaining precise elevation information and a rapid elevation scan. The beam must be relatively...

A method based upon simple diffraction theory is described for the calculation of modified paraboloid reflectors to produce from a point source a shaped beam of arbitrary shape in one plane and uniformly narrow in the perpendicular planes. A specific application of the shaped beam antennas is in connection with radar antennas designed for height finding. In this case the antenna must have a sharp elevation beam for obtaining precise elevation information and a rapid elevation scan. The beam must be relatively broad in azimuth in order that the target will be held in the beam long enough to obtain height information. If a fixed minimum of illumination is to be achieved at a given linear distance on both sides of the center line of the azimuth beam, the amplitude pattern must have the so-called "double cosecant" or "beavertail" shape.