Bell tests with entangled light have been performed many times in many ways using linear polarizers, but the same tests have never been done with a circular polarizer. Until recently there has never been a true circul...Bell tests with entangled light have been performed many times in many ways using linear polarizers, but the same tests have never been done with a circular polarizer. Until recently there has never been a true circular polarization beamsplitter—an optical component that separates light directly into left and right handed polarizations. Using a true circular polarization beamsplitter based on birefringent gratings, entangled light has been analyzed with unexpected results.展开更多
Empirical estimates of power and Type I error can be misleading if a statistical test does not perform at the stated rejection level under the null hypothesis. We employed the permutation test to control the empirical...Empirical estimates of power and Type I error can be misleading if a statistical test does not perform at the stated rejection level under the null hypothesis. We employed the permutation test to control the empirical type I errors for zero-inflated exponential distributions. The simulation results indicated that the permutation test can be used effectively to control the type I errors near the nominal level even the sample sizes are small based on four statistical tests. Our results attest to the permutation test being a valuable adjunct to the current statistical methods for comparing distributions with underlying zero-inflated data structures.展开更多
We prove that any collection which tiles the positive integers must contain one of two types of sub-collections. We then use this result to prove a variation of the Ratio Test for convergence of series. This version o...We prove that any collection which tiles the positive integers must contain one of two types of sub-collections. We then use this result to prove a variation of the Ratio Test for convergence of series. This version of the Ratio Test shows the convergence of certain series for which the Root Test (which is known to be more powerful than the conventional Ratio Test) fails. This version of the Ratio Test is also used to prove a version of the Banach Contraction Principle for self-maps of a complete metric space.展开更多
介绍了一种基于并行测试完成时间的极限定理分析和设计的静态并行测试任务调度算法——TSUL(task scheduler based on UUTs model and limit theorem of parallel test finish time)算法。该算法在设计过程中运用并行测试完成时间的极...介绍了一种基于并行测试完成时间的极限定理分析和设计的静态并行测试任务调度算法——TSUL(task scheduler based on UUTs model and limit theorem of parallel test finish time)算法。该算法在设计过程中运用并行测试完成时间的极限定理确定了并行完成所有测试任务所需的极限最短时间,生成的解能够尽量接近或达到问题的最优解。经实例验证,对于静态的并行测试任务调度问题,TSUL算法是一种有效的最优化算法。展开更多
文摘Bell tests with entangled light have been performed many times in many ways using linear polarizers, but the same tests have never been done with a circular polarizer. Until recently there has never been a true circular polarization beamsplitter—an optical component that separates light directly into left and right handed polarizations. Using a true circular polarization beamsplitter based on birefringent gratings, entangled light has been analyzed with unexpected results.
文摘Empirical estimates of power and Type I error can be misleading if a statistical test does not perform at the stated rejection level under the null hypothesis. We employed the permutation test to control the empirical type I errors for zero-inflated exponential distributions. The simulation results indicated that the permutation test can be used effectively to control the type I errors near the nominal level even the sample sizes are small based on four statistical tests. Our results attest to the permutation test being a valuable adjunct to the current statistical methods for comparing distributions with underlying zero-inflated data structures.
文摘We prove that any collection which tiles the positive integers must contain one of two types of sub-collections. We then use this result to prove a variation of the Ratio Test for convergence of series. This version of the Ratio Test shows the convergence of certain series for which the Root Test (which is known to be more powerful than the conventional Ratio Test) fails. This version of the Ratio Test is also used to prove a version of the Banach Contraction Principle for self-maps of a complete metric space.
文摘介绍了一种基于并行测试完成时间的极限定理分析和设计的静态并行测试任务调度算法——TSUL(task scheduler based on UUTs model and limit theorem of parallel test finish time)算法。该算法在设计过程中运用并行测试完成时间的极限定理确定了并行完成所有测试任务所需的极限最短时间,生成的解能够尽量接近或达到问题的最优解。经实例验证,对于静态的并行测试任务调度问题,TSUL算法是一种有效的最优化算法。
