The AppLication of X~2Distance Coefficient in the Method of Reduction of Dimensionnality through EXtreme Point Analgsis of High-Dimensioned Sample Points
This paper proves that Lindquester's conjecture: let G be a 2-coanected graph of order n, and u and v be distinct vertices of G, if dist(u, v)=2■|N(u) ∪N(v)|≥(n-1)/2, then G has hamiltonian path.
In this paper, the following result is proved:A 3-connected graph G of order P is homogeneously traceable if for any distinctive vertices u and v, dist(u.v)=2, implies that [N(u)(?) N(r)|≥(p+1)/2.
let G be a 2-connected graph of order n. F is any subgraph of G with order 4,which contains claw K(1.3),and u and v are distinct vertices of F, if dist (u,v) =,then G is Hamiltonian.
Furthermore,as an application of annihilators and the characterization of Rw*N,a new proof of Erdos density theorem in RNand a distance formula dist( A,Rw*N) =sup N |P( N- )⊥ AP( N ) | are given.
Furthermore, new proofs of the reflexivity of any weakly closed T(N)\|modules and of the distance formula \$\%dist\%(A,U)=\{\%sup\%\}N‖P()\+⊥AP(N)‖\$ were presented.
并且利用这一刻划 ,给出了弱闭 T( N) -模的自反性和距离公式 dist( A,U) =sup N ‖ P( N) ⊥ AP( N )‖的一个新的证明
The concept of the degree of similarity between interval-valued intuitionistic fuzzy sets (IVIFSs) is introduced,and some distance measures between IVIFSs are defined based on the Hamming distance,the normalized Hamming distance,the weighted Hamming distance,the Euclidean distance,the normalized Euclidean distance,and the weighted Euclidean distance,etc.
However, the Mattila integral, associated with the Falconer distance problem for these measures is unbounded in the range $0 >amp;lt; s >amp;lt; \frac{d^2}{2d-1}$.
Error estimates for the approximation of functionsf∈Wpk(Ω) and theirlth-order derivatives in the normsLq(Ωε) are obtained for this interpolation method, where Ω is a bounded domain in ?n, ε>amp;gt;0, and Ωε={x∈Ω:dist(x, ?∈)>amp;gt;ε}.
Virgin females of Distantiella theobroma (Dist.) produced a sex attractant capable of attracting males, which was emitted only during the late afternoon.
As the main result of the paper, it shows that the composition operator C is compact on the Bloch space β(Un) if and only if for every ε >amp;gt; 0, there exists a δ >amp;gt; 0, such that whenever dist(φ(z), ?Un)>amp;lt;δ.
We compare the MBLHD class to previously known classes by several model independent measures selected from three general families: discrepancies, maximin distance measures, and minimax distance measures.
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.
The problem of large deflection of a clamped circular plate under uniform pressure is studied by the method of successive approximation in terms of the parameter representing the ratio of the center deflection to the thickness. The tedious numerical computations, involved in Way's power series solution are thus avoided. The yielding condition at the edge checks very well with the experimental results given by McPherson, Ramberg and Levy. The method may be easily extended to any other boundary conditions and...
The object of this paper is offer an analytical method for solving the very important stereo-bridging problem in photogrammetry. In solving this problem we suppose that at the beginning and at the end of an arbitrary photo-strip there are three ground control points having their immages on the corresponding two pairs of photographs respectively. Based upon this condition we can utilize the stereo-resection method to carry out the aerial triangulation throughout the entire strip in order to get enough space ...