A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics

The gamma-Pareto type I convolution (GPC type I) distribution, which has a power function tail, was recently shown to describe the disposition kinetics of metformin in dogs precisely and better than sums of exponentials. However, this had very long run times and lost precision for its functional values at long times following intravenous injection. An accelerated algorithm and its computer code is now presented comprising two separate routines for short and long times and which, when applied to the dog data, completes in approximately 3 min per case. The new algorithm is a more practical research tool. Potential pharmacokinetic applications are discussed. Graphic abstract

Predicting Cow's Delivery Using Movement and Position Data Based on Machine Learning

One of the major problem farmers face is that of a parturition accident. A parturition accident result in the death of the calf when the cow gives birth. In addition, it reduces the milk yield. The farmer must keep the cow under close observation for the last few days of pregnancy.A novel method to predict a cow’s delivery time automatically using time-series acceleration data and global position data by machine learning is proposed. The required data was collected by a small sensor device attached to the cow’s collar. An inductive logic programming (ILP) method was employed for a machine learning model as it can generate readable results in terms of a formula for first-order logic (FOL). To apply the machine learning technique, the collected data was converted to a logical form that includes predefined predicates of FOL. Using the obtained results, one can classify whether the cows are ready for delivery.Data was collected from 31 cows at the NAMIKI Dairy Farm Co. Ltd. Using the method described above, 130 readings were obtained. The five-fold cross-validation process verified the accuracy of the model at 56.79%.

Recycling Stirling's series acceleration technique

Infinite series are an important topic in mathematical analysis and convergence is the most crucial concept in the theory of infinite series. The speed at which the sequence of the partial sums of a series approaches its limiting sum has been a subject of investigation for many a mathematician. Euler [1], Kummer [2] and Markoff [3] all developed techniques for accelerating the convergence of slowly converging series. Euler's method only works for alternating series, Kummer's and Markoff's are suitable for general series with a special form.Gosper [4] illustrates how the rate of convergence of infinite series can be accelerated by a suitable splitting of each term into two parts and then combining the second part of the n th term with the first part of n + 1 th the term and leaving the first part of the first term. Repeated application of this process yields a new series which approaches 0 and the series of the left out first parts (‘orphans’) that converges faster than the original series.

Estimation of Pavement Serviceability Index Through Android-Based Smartphone Application for Local Roads

The Wyoming Technology Transfer Center is in the process of developing a pavement management system (PMS) for county paved roads in Wyoming. This PMS uses the present serviceability index (PSI) as a main pavement performance parameter. This PMS depends on pavement condition index, international roughness index, and pavement rutting as explanatory variables to estimate PSI. This study researched new explanatory variables measured by using smartphones’ sensors to estimate PSI. It was found that the variance of the signals (time series acceleration data) acquired by smartphones’ accelerometers could work as a very good explanatory variable to estimate PSI. Two models were developed with high significance ( R2 higher than .9) to predict PSI using the variance of smartphone signals. The initial validation results suggested that using these models could predict, with high certainty, the actual PSI values. The difference between the predicted and the actual PSI values was not statistically different. The study was performed on 20 roadway segments extracted from the Wyoming county roads’ PMS database. In addition, the selected segments had various lengths and geometric features reflecting various roadway segments under any PMS. The proposed methodology is intended to lower the cost of measuring county roads’ pavement conditions by estimating PSI directly without the reliance on the direct measurement of pavement condition parameters.

STRONG COUPLING FROM THE TAU HADRONIC WIDTH BY NON-POWER QCD PERTURBATION THEORY

Starting from the divergent character of the perturbative expansions in QCD and using the technique of series acceleration by the conformal mappings of the Borel plane, I define a novel, non-power perturbative expansion for the Adler function, which simultaneously implements renormalisation-group summation and has a tamed large-order behaviour. The new expansion functions, which replace the standard powers of the coupling, are singular at the origin of the coupling plane and have divergent perturbative expansions, resembling the expanded function itself. Confronting the new perturbative expansions with the standard ones on specific models investigated recently in the literature, I show that they approximate in an impressive way the exact Adler function and the spectral function moments. Applied to the τ hadronic width, the contour-improved and the renormalisation-group summed non-power expansions in the [Formula: see text] scheme lead to the prediction [Formula: see text], which translates to [Formula: see text].

Development of the Strength Evaluation Method for Body of Mining Dump Truck Under Actual Operations

The prediction method of the experimental stress wave at the welded joints of the body under actual operations was developed, and the strength evaluation flow based on the method was proposed. We conducted running tests using a dump truck prototype, the EH3500ACII, as an experimental approach. The high accelerations in longitudinal, vertical, and lateral directions were measured for a sudden stop, bump override and sharp turn test, respectively. The tendencies of the stress waveforms at the welded joints in each running test are in good agreement with those of the acceleration waveforms. The distinct element (DE) and finite element (FE) methods were used to predict the experimental stress waves. First, the pressure loads of soil were analyzed using DE method. Kanto loam (Japanese soil) was modeled using a large number of particles, and filled a container modeled using rigid plates to form a shape similar to that of actual loads. The soil pressure distributions were formulated with a variety of acceleration loads. Next, the obtained load pressures were applied to the FE model as the load conditions. The stresses at the evaluation points were calculated under a 1G acceleration in the vertical, lateral, and longitudinal directions, respectively. Finally, those stress results and the measured time series acceleration data were multiplied, and the stress waveforms under running conditions were predicted by using a linear superposition method. When the analytical stresses were compared with the experimental results, the tendencies of the analytical stress variations corresponded well with those of the experimental stress waveforms. On the other hand, the analytical stresses were smaller than the actual experimental values. This was because the weld geometries were not modeled in FE model, and the stress concentrations on the weld toes were not precisely estimated. The strength evaluation flow was developed by using the soil pressure distribution formulated using the DE analysis, the database of the time series acceleration data obtained from the running tests, the ratio of the stress ranges of the experiment and that of the analysis, Kstress_ratio, and the strength criteria for welded joints. It is possible to evaluate the durability of a new structure model in a short period of time by using this evaluation flow.

Hardware Design for Active Vibration Isolation Controller

The active vibration control system are described in this paper, and the controller was designed for the active control system, the controller is based on ARM Cortex M3 microcontroller core, ICP series acceleration sensor is use for signal acquisition module, the A / D converter module was designed based on ADS1158 chip, the D/ A converter module was designed based on DAC8564 chip. The controller has the characteristics of high speed and versatility.

Series acceleration formulas for beta values

International audience We prove generating function identities producing fast convergent series for the sequences beta(2n + 1); beta(2n + 2) and beta(2n + 3), where beta is Dirichlet's beta function. In particular, we obtain a new accelerated series for Catalan's constant convergent at a geometric rate with ratio 2(-10); which can be considered as an analog of Amdeberhan-Zeilberger's series for zeta(3)