The presence of a polar species of glycopeptidolipid (GPL) in carbon-starved Mycobacterium smegmatis has been reported previously. In this study, the complete structure of this GPL is established with the help of MALDI-TOF (matrix assisted laser desorption/ionization time of flight) and ESI (electrospray ionization) -MS, (13)C-SEFT (spin echo Fourier transform) -NMR spectroscopy, and HPLC analy...

R Upper-triangular matrix from QR decomposition v Direction unit vector: vj ; j ∈ [1, N ] Vinf Freestream velocity W Combined weight matrix Wb Derivative observation weight matrix: Wb i,j ≡ wi δi,j Wf Function observation weight matrix: Wf i,j ≡ wi δi,j x Vector of input quantities to f : xj ; j ∈ [1, N ] θ, φ Spherical polar coordinates {d} Vector of Taylor series derivatives: dk ; k ∈ [1, t] ...

In this paper, we introduce a generalization of the Dunkl derivative with two parameters to study Schrödinger equation in Cartesian and polar coordinates dimensions. The eigenfunctions energy spectrum for harmonic oscillator Coulomb problem are derived an analytical way it is shown that our results properly reduced those previously reported single parameter.

The polar derivative of a polynomial P(z) degree n with respect to complex number ? is nP(z) + (??z)P?(z) at most n?1 and denoted by D?P(z). We consider the class polynomials = a0 ?n v=? avzv, 1, such that ?0 in |z| < k, k 1 establish some upper bound estimates for maximum modulus D?P(z) on unit disk involving coefficients P(z). obtained results refine generalize well known inequalities.

Plesiomonas shigelloides is the unique member of the Enterobacteriaceae family able to produce polar flagella when grow in liquid medium and lateral flagella when grown in solid or semisolid media. In this study on P. shigelloides 302-73 strain, we found two different gene clusters, one exclusively for the lateral flagella biosynthesis and the other one containing the biosynthetic polar flagell...

We introduce an alternative coordinate system based on derivative polar and spherical coordinate functions and construct a root-to-canopy analytic formulation for tree fractals. We develop smooth tree fractals and demonstrate the equivalence of their canopies with iterative straight lined tree fractals. We then consider implementation and application of the analytic formulation from a computati...