Analysis of Free Time Intervals between Buyers at Cash Register using Generating Functions

Author(s):  
Detlef Hartleb ◽  
Andreas Ahrens ◽  
Ojaras Purvinis ◽  
Jelena Zaščerinska
Author(s):  
Vladimir N. Yashin

An article deals with problems related to the assessment of metrological reliability of measuring instruments by method of generating functions. Metrological reliability of measuring instruments is the most important characteristic that determines the accuracy and reliability of physical quantities measurements. In the suggested article, a confidence indicator is proposed as an evaluation of metrological reliability. The quantitative value of confidence indicator can be estimated by means of the method of generating functions. This is a scientific novelty of the work. Relevance of the problem of assessing the measuring instruments metrological reliability evaluation is substantiated in this paper since the current trend towards structural and functional complexity of measuring instruments may lead to decreasing of their reliability and, in particular, metrological reliability. The main goal of this work is to systematize the problems of reliability of measuring instruments and evaluate their metrological reliability using the method of generating functions. On the base of selected mathematical model of the evolution of error of measurement and proposed indicator of metrological reliability means of the method of generating functions allow to carry out metrological forecast of variability of the error of measurement depending on time. The model of gradual failures with a discrete change of the error over time, which is typical for a certain class of measuring instruments, for example, measuring time intervals, was chosen as a model for the evolution of the error of measuring instruments. The method of generating functions used for evaluating the metrological reliability of measuring instruments has made it possible to increase the efficiency of the algorithm for quantitative evaluation of metrological reliability of measuring instruments by simplifying the mathematical operations that underlie it.


2020 ◽  
Vol 10 (6) ◽  
pp. 349
Author(s):  
Andreas Posa ◽  
Izabela Niśkiewicz ◽  
Alexander Emmer ◽  
Frank Hanisch ◽  
Malte E. Kornhuber

Complex repetitive discharges (CRDs) are poorly understood phenomena in needle electromyography (EMG) recordings. The data presented here suggest that CRDs may mainly be a sign of motor unit reinnervation. EMG “video” data of 108 CRDs from neurogenic (ND, n = 39) and myogenic (MD, n = 14) disorders were retrospectively analyzed for cycle duration, potential-free time intervals, spike components (SC), maximum amplitudes, blockade, and increased jitter. CRD-SC in ND disorders (9.3 ± 7.8) outnumbered those in MD disorders (6.3 ± 6.2). The CRD cycle duration was correlated with SC and silent periods (p each < 0.000001). Blockade was observed in 36% and increased jitter in 27% of the CRDs. A higher number of CRD-SC in ND vs. MD fits the known differences in motor unit dimensions. Blockade and increased jitter are known features of diseased neuromuscular junctions, such as during reinnervation. The SC patterns of single CRD cycles resemble reinnervation potentials. Thus, CRDs may result from myo-axonal re-excitation in sprouting motor units. The purpose of this investigation was to better understand the circumstances under which CRDs may occur and eventually to contribute to the understanding of their pathogenesis.


2020 ◽  
Author(s):  
Lea Maria Bartsch ◽  
Klaus Oberauer

Free time to attend to and process information in working memory is key in promotingimmediate and delayed retention. One candidate process to cause this benefit is elaboration. Weconducted three experiments with young adults – two of which included older adults – toinvestigate whether free time is used for elaboration, and whether elaboration causes the free-timebenefit. Participants remembered lists of nouns, interleaved with short or long free-time intervals,or with filler words connecting all the nouns into a meaningful sentence to assist elaboration. Foryoung adults, assisted elaboration through sentences, and the additional instruction to form amental image, benefited performance in a working-memory test as much as longer free time, butnot more. In contrast, for a delayed test of long-term memory, the benefits of sentence elaborationexceeded those of longer free time. Older adults did not benefit from assisted elaborations in thedelayed test, providing further evidence that the long-term memory deficit of older adults arises atleast in part from a deficit in elaboration. This elaboration deficit is not driven by a deficit ingenerating richer representations.


1994 ◽  
Vol 144 ◽  
pp. 139-141 ◽  
Author(s):  
J. Rybák ◽  
V. Rušin ◽  
M. Rybanský

AbstractFe XIV 530.3 nm coronal emission line observations have been used for the estimation of the green solar corona rotation. A homogeneous data set, created from measurements of the world-wide coronagraphic network, has been examined with a help of correlation analysis to reveal the averaged synodic rotation period as a function of latitude and time over the epoch from 1947 to 1991.The values of the synodic rotation period obtained for this epoch for the whole range of latitudes and a latitude band ±30° are 27.52±0.12 days and 26.95±0.21 days, resp. A differential rotation of green solar corona, with local period maxima around ±60° and minimum of the rotation period at the equator, was confirmed. No clear cyclic variation of the rotation has been found for examinated epoch but some monotonic trends for some time intervals are presented.A detailed investigation of the original data and their correlation functions has shown that an existence of sufficiently reliable tracers is not evident for the whole set of examinated data. This should be taken into account in future more precise estimations of the green corona rotation period.


Author(s):  
Robert Corbett ◽  
Delbert E. Philpott ◽  
Sam Black

Observation of subtle or early signs of change in spaceflight induced alterations on living systems require precise methods of sampling. In-flight analysis would be preferable but constraints of time, equipment, personnel and cost dictate the necessity for prolonged storage before retrieval. Because of this, various tissues have been stored in fixatives and combinations of fixatives and observed at various time intervals. High pressure and the effect of buffer alone have also been tried.Of the various tissues embedded, muscle, cartilage and liver, liver has been the most extensively studied because it contains large numbers of organelles common to all tissues (Fig. 1).


Author(s):  
L. V. Leak ◽  
J. F. Burke

The vital role played by the lymphatic capillaries in the transfer of tissue fluids and particulate materials from the connective tissue area can be demonstrated by the rapid removal of injected vital dyes into the tissue areas. In order to ascertain the mechanisms involved in the transfer of substances from the connective tissue area at the ultrastructural level, we have injected colloidal particles of varying sizes which range from 80 A up to 900-mμ. These colloidal particles (colloidal ferritin 80-100A, thorium dioxide 100-200 A, biological carbon 200-300 and latex spheres 900-mμ) are injected directly into the interstitial spaces of the connective tissue with glass micro-needles mounted in a modified Chambers micromanipulator. The progress of the particles from the interstitial space into the lymphatic capillary lumen is followed by observing tissues from animals (skin of the guinea pig ear) that were injected at various time intervals ranging from 5 minutes up to 6 months.


2006 ◽  
Author(s):  
Angelo Santi ◽  
Dwayne Keough ◽  
Patrick Van Rooyen
Keyword(s):  

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