Persistence of a Continuous Stochastic Process with Discrete-Time Sampling

We introduce the concept of `discrete-time persistence', which deals with zero-crossings of a continuous stochastic process, X(T), measured at discrete times, T = n \Delta T. For a Gaussian Markov process with relaxation rate \mu, we show that the persistence (no crossing) probability decays as \rho(a)^n for large n, where a = \exp(-\mu \Delta T), and we compute \rho(a) to high precision. We also define the concept of `alternating persistence', which corresponds to a1, corresponding to motion in an unstable potential (\mu<0), there is a nonzero probability of having no zero-crossings in infinite time, and we show how to calculate it.Comment: 5 pages, some minor change

Research Support Games Day - Notes

The purpose of this event was to give support staff the opportunity to experience different games or games-based tools that could be used with researchers for educational or training purposes. The day was very successful with lots of positive feedback - there is definitely interest in organising a similar event in the future. The notes below are divided into two sections: a review of the sessions that ran at this event and a summary of the brief general discussion at the close of the day

Research Support Games Day - Notes

The purpose of this event was to give support staff the opportunity to experience different games or games-based tools that could be used with researchers for educational or training purposes. The day was very successful with lots of positive feedback - there is definitely interest in organising a similar event in the future. The notes below are divided into two sections: a review of the sessions that ran at this event and a summary of the brief general discussion at the close of the day

What have games got to do with me?

Researchers are often busy people, who are under significant time pressure and managing hefty workloads. It can therefore be a challenge for them to find the time to engage with the myriad requirements and opportunities that are relevant to what they do. Over recent years, games that are intended to foster engagement with good research practice, skills and knowledge have created a bit of a buzz among my peers. The question is whether games can help to facilitate the efficient sharing of information and provision of services between research support staff and researchers, easing the dissemination of best practice, skills and knowledge throughout the community. An additional question is whether such games can also serve as useful tools when used only within the research support community, to help identify gaps in the knowledge and services of research support staff

Soule\u27s partnership settlements and adjustment of complex financial affairs designed for book-keepers, business men, attorneys and commercial students; Partnership settlements and adjustment of complex financial affairs designed for book-keepers, business men, attorneys and commercial students

The following pages on Partnership and Financial Adjustments were prepared for the Author\u27s revised work titled Soule\u27s Philosophic Practical Mathematics. The revision and the enlarging of this work have occupied the attention of the Author during the past four years. The work will contain about 1200 pages of the highest practical mathematical work ever published. It is now in press, and will probably be ready by the end of 1894. These pages are printed in advance of the full work in answer to a demand for Partnership and Financial Adjustments, by book-keepers and business men. Many of the intricate problems and transactions herein worked and discussed occurred in actual business, with different names and amounts, and were submitted to the Author for adjustment during his thirty-seven years of professional service as an expert and consulting accountant, and as a teacher and lecturer on the commercial sciences

What America means to sixth grade children.

Thesis (Ed.M.)--Boston Universit