Liquid chromatographic determination of vanillin and related aromatic compounds

This paper describes a reversed-phase liquid chromatographic method for the determination of vanillin, associated natural aromatic compounds and/or synthetic precursors, ethyl vanillin, and coumarin, a commonly encountered adulterant in nonbeverage and beverage alcohol products using a ternary gradient mobile phase. The compounds were separated on a Nova-Pak C18 column by using water, methanol, and tetrahydrofuran as the mobile phase. Measurements were made by using a photodiode array detector at 275 nm. The choice of the mobile phase and the column provides baseline resolution of vanillin and the associated aromatic compounds commonly found in vanilla-flavoring material. Because this method provides low-level detection/quantitation, it is suitable for the characterization of vanilla flavoring materials that are currently added to vanilla flavored beverage alcohol products.     

Scale invariant amplitude modulated phase-only filtering

A new synthetic discriminant-function-based amplitude modulated phase-only filtering technique is proposed for scale invariant pattern recognition. This technique has been found to yield improved correlation output when compared with the alternate techniques. The proposed technique is inherently suitable for optical implementation using the currently available spatial light modulators. Simulation results confirm the effectiveness of the proposed technique.     

Simple Zeros of the Riemann Zeta-Function

Assuming the Riemann Hypothesis, Montgomery showed by meansof his pair correlation method that at least two-thirds of thezeros of Riemann's zeta-function are simple. Later he and Taylorimproved this to 67.25 percent and, more recently, Cheer andGoldston increased the percentage to 67.2753. Here we proveby a new method that if the Riemann and Generalized LindelöofHypotheses hold, then at least 70.3704 percent of the zerosare simple and at least 84.5679 percent are distinct. Our methoduses mean value estimates for various functions defined by Dirichletseries sampled at the zeros of the Riemann zeta-function. 1991Mathematics Subject Classification: 11M26.     

Quantum Zeno and anti-Zeno paradoxes

Continuous observation of a time independent projection operator is known to prevent change of state (the quantum Zeno paradox). We discuss the recent result that generic continuous measurement of time dependent projection operators will in fact ensure change of state: an anti-Zeno paradox.     

粉粒体两相流的电容层析成象测量

粉粒体系统中的固相浓度分布的在线测量是十分困难的问题．电容层析成象技术是一种近年来发展起来的非侵入式快速浓度场测量技术．它不干扰流场，不受流动中颗粒浓度、加速度、不透明等因素的制约．本文讨论其测量原理、应用、近期进展、存在的主要问题及其解决的对策．