Gaussian scale space permits one to compute image derivatives. The limitation to some finite order is not inherent in the paradigm itself (Gaussian blurred functions are always smooth), but is caused by the interplay of (at least) two external factors. One is the ratio of the Gaussian scale parameter versus the atomic scale that limits physically or perceptually meaningful sizes (e.g. pixel siz...

Two studies were performed to evaluate the effects of dried distillers grains with solubles (DDGS) on the lactational performance of dairy cows. The intent of experiment 1 was to evaluate the effects of feeding increasing concentrations of DDGS on the feed intake and production of Holstein dairy cows. Twenty multiparous Holstein cows averaging 76 +/- 24 d in milk and 638 +/- 68 kg of body weigh...

The title compound, C17H27O8P, was prepared by Michaelis-Arbuzov reaction of ethyl 2-bromo-2-(2,3,4-tri-meth-oxy-phen-yl)acetate and triethyl phosphite. Such compounds rarely crystallize, but single crystals were recovered after the initial oil was left for approximately 10 years. The bond angle of the sp (3)-hybridized C atom connecting the benzene derivative with the phospho unit is widened m...

Many metals or their complexes can catalyze the cyclotrimerization of alkynes to give benzene derivatives.1-9 Among these catalysts, palladium chloride10 and its bis(benzonitrile) complex11 are the most convenient. In these reactions, the yields of benzene derivatives generally depend on the substituents of alkynes. In the past 50 years, the regioand chemoselectivity for the cyclotrimerization ...

In this work, we perform univariate approximation with rates, basic and fractional, of continuous functions that take values into an arbitrary Banach space domain on a closed interval or all reals, by quasi-interpolation neural network operators. These approximations are achieved deriving Jackson-type inequalities via the first modulus continuity hand function its abstract integer derivative Ca...

In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical model, developed for plasma hot and cool electrons some fluid ions. Based on properties certain employed truncated M-fractional derivatives, reduce equation to an integer-order ordinary differential utilizing adequate traveling wave transformation. Further, derive dynamical system present bifurcation equ...

A family of random variables $\mathbf{X}(s)$, depending on a real parameter $s>-\frac{1}{2}$, appears in the asymptotics joint moments characteristic polynomials unitary matrices and their derivatives, ergodic decomposition Hua-Pickrell measures conjecturally Hardy's function its derivative. Our first main result establishes connection between $\mathbf{X}(s)$ $\sigma$-Painlev\'e III' equation f...

Abstract It has been known for over 70 years that there is an asymptotic transition of Charlier polynomials to Hermite polynomials. This transition, which still presented in its classical form modern reference works, valid if and only a certain parameter integer. In this light, it surprising much more powerful exists from the function , any real value parameter. greatly strengthens connections ...

Fractional calculus has transformed signal processing by providing a more flexible representation of complex signals. This article explores its applications in image denoising, filtering, and time series analysis, highlighting potential to revolutionize methodologies. calculus, dealing with derivatives integrals non-integer orders, captures long-memory self-similar properties real-world Image d...