The process of cooking with solid alkali is a novel and efficient technology. In the present work, milled wood lignin (MWL) and water-soluble milled wood lignin (WMWL) were used as the raw materials to research their properties when cooking with MgO and active oxygen. Before and after cooking, the lignin content of the samples was estimated using attenuated total reflectance-Fourier transform i...

For a one-parameter family of simple metrics constant curvature ($4\\kappa$ for $\\kappa\\in (-1,1)$) on the unit disk $M$, we first make explicit Pestov–Uhlmann range characterization geodesic X-ray transform, by constructing basis functions making up its and co-kernel. Such also translates into moment conditions $à$ $la$ Helgason–Ludwig or Gel'fand–Graev. We then derive an Singular Value Deco...

A wavelet transform method for fault detection of power supply circuit is presented. The wavelet transform is applied to the healthy and faulty circuit under test (CUT) to obtain transform coefficients. Standard deviation (SD) of transform coefficients are extracted to create fault dictionary. The simulation result shows effectiveness of transform based method for fault detection of power suppl...

This paper discusses the convexity of range Berezin transform. For a bounded operator T acting on reproducing kernel Hilbert space H (on set X), this is B(T):={?Tkˆx,kˆx?H:x?X}, where kˆx normalized for at x?X. Primarily, we focus characterizing class composition operators Hardy unit disk.

We investigate the scale-shift operator for discrete-time signals via action of hyperbolic Blaschke group. Practical implementation issues are discussed and given any arbitrary scale, in framework very classical linear filtering. Our group theoretical standpoint leads to a purely harmonic analysis definition Mellin transform signals. Explicit analytical expressions atoms Fourier-Mellin decompos...

The oculomotor system uses integrators to transform velocity signals to control eye position. We model such an integrator as a linear network with a marginal mode separated from stable modes by a large spectral gap. The model neurons carry a superposition of position and velocity signals, just as observed in single unit recordings from hindbrain oculomotor areas. The single unit properties of t...