Let P1, . . . ,Pn be properties of graphs. A (P1, . . . ,Pn)-partition of a graph G is a partition of the vertex set V (G) into subsets V1, . . . , Vn such that the subgraph G[Vi] induced by Vi has property Pi; i = 1, . . . , n. A graph G is said to be uniquely (P1, . . . ,Pn)-partitionable if G has exactly one (P1, . . . ,Pn)-partition. A property P is called hereditary if every subgraph of ev...

A total of 13 phosphate transporters in rice (Oryza sative) have been identified as belonging to the Pht1 family, which mediates inorganic phosphate (Pi) uptake and transport. We report the biological property and physiological role of OsPht1;4 (OsPT4). Overexpressing OsPT4 resulted in significant higher Pi accumulation in roots, straw and brown rice, and suppression of OsPT4 caused decreased P...

Painlevé and his school [1 – 3] studied the certain class of second order ordinary differential equations (ODEs) and found fifty canonical equations whose solutions have no movable critical points. This property is known as the Painlevé property. Distinguished among these fifty equations are six Painlevé equations, PI – PVI. The six Painlevé transcendents are regarded as nonlinear special funct...

This paper presents an analysis of biometric authentication for signature creation application. We extend the established protocol in order to verify the two properties: secrecy and safety. We have analysed the protocol using applied pi calculus and ProVerif. The verification of the secrecy property shows that the protocol holds the biometric data securely while the verification of the safety p...

We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [HK96]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of exam...

We give conditions on Gromov-Hausdorff convergent inverse systems of metric measure graphs which imply that the measured Gromov-Hausdorff limit (equivalently, the inverse limit) is a PI space i.e., it satisfies a doubling condition and a Poincaré inequality in the sense of Heinonen-Koskela [HK96]. The Poincaré inequality is actually of type (1, 1). We also give a systematic construction of exam...

In this work we are concerned with solutions to the linear Schr\"odinger type system mixed dispersion, so-called biharmonic equation. Precisely, able prove an exact control property for these in energy space posed on oriented star graph structure $\mathcal{G}$ $T>T_{min}$, $$T_{min}=\sqrt{ \frac{ \overline{L} (L^2+\pi^2)}{\pi^2\varepsilon(1- \varepsilon)}},$$ when couplings and controls appear ...

In this work unstructured point clouds, resulting from 3D range acquisition are point wise-processed, using a proposed kd-tree nearest neighbor method, based in a generative data driven, local radial basis function’s (RBF) support:φ(S, pi(xi, yi, zi)), for the point set S : {pi}i I , using surface statistic and a Gaussian convolution kernel, point sets are smoothed according to local surface fe...

Let S ⊂ Rk+m be a compact semi-algebraic set defined by P1 ≥ 0, . . . , P` ≥ 0, where Pi ∈ R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) ≤ 2, 1 ≤ i ≤ `. Let π denote the standard projection from Rk+m onto Rm. We prove that for any q > 0, the sum of the first q Betti numbers of π(S) is bounded by (k +m). We also present an algorithm for computing the the first q Betti numbers of π(S), whose com...

The production of slow nucleons in semi-inclusive deep inelastic electron scattering off the deuteron is investigated in the region x > 0.3. It is shown that within the spectator mechanism the semi-inclusive cross section exhibits a scaling property even at moderate values of Q2 (∼ few (GeV/c)2) accessible at present facilities, like CEBAF . Such a scaling property can be used as a model-indepe...