Using a series of ordered mesoporous TiO2 (om-TiO2) with and without Ce or Cu doping, the effects structure, metal doping residual template species in structure are systematically evaluated terms products formed during CO2 photoreduction process. It is found that contributes significantly hydrogen evolution reaction from splitting gaseous water. No cocatalyst was needed to achieve high yields. ...

We study countable saturation of metric reduced products and introduce continuous fields of metric structures indexed by locally compact, separable, completely metrizable spaces. Saturation of the reduced product depends both on the underlying index space and the model. By using the Gelfand–Naimark duality we conclude that the assertion “Stone–Čech remainder of the half-line has only trivial au...

‎We prove that a remainder $Y$ of a non-locally compact‎ ‎rectifiable space $X$ is locally a $p$-space if and only if‎ ‎either $X$ is a Lindel"{o}f $p$-space or $X$ is $sigma$-compact‎, ‎which improves two results by Arhangel'skii‎. ‎We also show that if a non-locally compact‎ ‎rectifiable space $X$ that is locally paracompact has a remainder $Y$ which has locally a $G_{delta}$-diagonal‎, ‎then...

To perform an asymptotic analysis of spectra singularly perturbed periodic waveguides, it is required to estimate remainders expansions eigenvalues a model problem on the periodicity cell uniformly with respect Floquet parameter. We propose two approaches this problem. The first based max–min principle and sufficiently easily realized, but has restricted application area. second more universal,...

Integrating machine learning into one of the manufacturing processes, i.e., forging, is mainly concerned with making system more intelligent by incorporating them to exhibit global understanding. Sometimes engineer/operator can find defects during or after forging operation. So, will need some input identify different types categorized defects. And also, according that, we develop fault diagnos...