Eight : This is too long and detailed to be in an abstract; it sounds as though it was pulled from the methods and materials section of the paper. The amounts of enzyme do not need to be stated, nor do the pH levels. The number of samples tested do not need to be included either; it is just extraneous information that is not crucial to understanding the experiment as a whole. The information contained in this sentence can be pulled out and rearranged to say that some samples had a constant pH and varying enzyme concentrations and other samples had constant enzyme concentrations and varying pH levels. With the controls and the variables stated you can move on to your results. ( return to Sample 1 )
Patients admitted to LTC facilities are typically seen by a medical provider at least once every 30 days for the first 90 days after admission and at least once every 60 days thereafter. In practice, patients are seen within the first week of admission and also when medically necessary (although this may be several days after an event or change of condition). This system means that patients may have uncontrolled blood glucose levels or wide excursions without the practitioner being notified. Adjustments to treatment regimens can be made by telephone, fax, or order entry into electronic health records. Standing orders for glucose monitoring and practitioner notification that are approved by the facility and the practitioner at the time of admission may be useful.
Previous rigorous approaches for this problem rely on dynamic programming (DP) and, while sample efficient, have running time quadratic in the sample size. As our main contribution, we provide new sample near-linear time algorithms for the problem that – while not being minimax optimal – achieve a significantly better sample-time tradeoff on large datasets compared to the DP approach. Our experimental evaluation shows that, compared with the DP approach, our algorithms provide a convergence rate that is only off by a factor of 2 to 4, while achieving speedups of three orders of magnitude.