Randomly Sampling Molecules

Randomly sampling thinking in the natural environment.

Thought sampling, the experience sampling method (ESM), and descriptive experience sampling are 3 methods of randomly sampling thinking in participants' natural environments. All use beepers that signal participants to report aspects of their experience and behavior at random intervals. Thought sampling and ESM are quantitative methods, and standard validation studies have demonstrated them to ...

Randomly sampling the chromospheric peak power distribution

We have analyzed the UV continuum light curves of 2535 pixels obtained during fifteen separate observations of active regions with the Ultraviolet Spectrometer and Polarimeter (UVSP) on board the solar maximum mission in 1989. Specifically we have looked for periodicities. In the power spectra of 738 light curves (i.e., 29%), evidence was found for periodicities at multiple frequencies. For eac...

A Non-Markovian Coupling for Randomly Sampling Colorings

We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We prove the Glauber dynamics is close to the uniform distribution after O(n log n) steps whenever k > (1 + )∆, for all > 0, assuming g ≥ 11 and ∆ = Ω(log n). The best previously known bounds were k > 11∆/6 for general gra...

The Effect of Randomly Time-varying Sampling and Computational Delay

A randomly time-varying sampling period or control delay affects the performance, robustness and stability of a control loop. The variation in sensing and actuation instants is caused by e.g. multitasking, interactions in distributed systems and varying processing time. The discretization of a continuous-time quadratic loss function and the process is here extended to the case of aperiodic syst...

Computation in permutation groups: ounting and randomly sampling orbits