Estimation of Transition Point and Parameters of Main Market based on Bass Model with Integration Constant

2019 ◽  
Vol 45 (3) ◽  
pp. 182-192
Author(s):  
Taegu Kim ◽  
Jungsik Hong
Author(s):  
Liling Cho ◽  
David L. Wetzel

Polarized infrared microscopy has been used for forensic purposes to differentiate among polymer fibers. Dichroism can be used to compare and discriminate between different polyester fibers, including those composed of polyethylene terephthalate that are frequently encountered during criminal casework. In the fiber manufacturering process, fibers are drawn to develop molecular orientation and crystallinity. Macromolecular chains are oriented with respect to the long axis of the fiber. It is desirable to determine the relationship between the molecular orientation and stretching properties. This is particularly useful on a single fiber basis. Polarized spectroscopic differences observed from a single fiber are proposed to reveal the extent of molecular orientation within that single fiber. In the work presented, we compared the dichroic ratio between unstretched and stretched polyester fibers, and the transition point between the two forms of the same fiber. These techniques were applied to different polyester fibers. A fiber stretching device was fabricated for use on the instrument (IRμs, Spectra-Tech) stage. Tension was applied with a micrometer screw until a “neck” was produced in the stretched fiber. Spectra were obtained from an area of 24×48 μm. A wire-grid polarizer was used between the source and the sample.


1976 ◽  
Vol 17 (75) ◽  
pp. 79-98 ◽  
Author(s):  
E. M. Morris

AbstractThe results of regelation experiments, in which a single object is pulled through ice, cannot be applied directly to the problem of basal sliding in glaciers because the two systems have different geometries. When the force applied to a single object is small, impurities trapped in the regelation water-layer around the object inhibit the regelation process. At larger forces, above the Drake-Shreve transition point, impurities are shed in a trace behind the object. However, when ice moves over a series of obstacles a trace may exist above and below the transition point. The regelation velocity below the transition point is not reduced by the effect of trapped impurities. In an experiment in which brass cylingerrs of various cross-sections rotate in ice, the ratio between the expected regelation velocity, calculated using the basal-sliding theory of Nye, and the measured regelation velocity is 8±2, both above and below the transition point. The same ratio has been obtained by other workers with wires of similar thermal conductivity above the transition point. Measurements of température differences indicate that supercooling cannot be the main source of the unexpectedly low regelation velocities above the transition point.


SAGE Open ◽  
2021 ◽  
Vol 11 (2) ◽  
pp. 215824402110269
Author(s):  
Lang Liang

The Bass model is the most popular model for forecasting the diffusion process of a new product. However, the controlling parameters in it are unknown in practice and need to be determined in advance. Currently, the estimation of the controlling parameters has been approached by various techniques. In this case, a novel optimization-based parameter estimation (OPE) method for the Bass model is proposed in the theoretical framework of system dynamics ( SD). To do this, the SD model of the Bass differential equation is first established and then the corresponding optimization mathematical model is formulated by introducing the controlling parameters as design variable and the discrepancy of the adopter function to the reference value as objective function. Using the VENSIM software, the present SD optimization model is solved, and its effectiveness and accuracy are demonstrated by two examples: one involves the exact solution and another is related to the actual user diffusion problem from Chinese Mobile. The results show that the present OPE method can produce higher predicting accuracy of the controlling parameters than the nonlinear weighted least squares method and the genetic algorithms. Moreover, the reliability interval of the estimated parameters and the goodness of fitting of the optimal results are given as well to further demonstrate the accuracy of the present OPE method.


2021 ◽  
pp. 002580242110232
Author(s):  
Guendalina Gentile ◽  
Stefano Tambuzzi ◽  
Salvatore Andreola ◽  
Riccardo Zoja

The forensic evidence of hanging is based on the autopsy demonstration of the traces left by the noose or the ligature on the neck, as well as on the histological assessment of the hanging mark vitality. However, the specific topography of haemorrhagic infiltration in the context of the cervical damaged tissues involved in hanging is not known. We carried out an extensive microscopic examination to identify if haemorrhagic infiltration in hanging appeared in specific topographic locations that could have been considered as elective. From 102 victims of suicidal hanging, a skin fragment was sampled from the maximum compression area of the sulcus, including the skin portions immediately above and below it. The sampling was also extended to collect the subcutaneous adipose tissue and part of the striated muscle. A standard histological examination was performed on all the samples, and hematoxylin and Eosin, Weigert’s resorcin-fuchsin and Goldner’s Masson trichrome staining were performed. In all the cases assessed, the microscopic examination allowed the detection of haemorrhagic infiltration mainly in the deepest areas under the sulcus and especially in the deep dermis and at the transition point between the dermis and the subcutaneous adipose tissue, as well as in the context of its supporting connective tissue. Such areas could therefore be considered as regions in which the presence of haemorrhagic infiltration is more likely to be demonstrated. Accordingly, we recommend performing sampling similar to ours and focusing the search for haemorrhagic infiltration as suggested.


2020 ◽  
Vol 13 (12) ◽  
pp. e238112
Author(s):  
Ramprasad Rajebhosale ◽  
Mohammad Miah ◽  
Fraser Currie ◽  
Pradeep Thomas

Perineal hernia with bowel gangrene is uncommon but known complication of laparoscopic extralevator abdominoperineal excision (ELAPE). We present a rare case of closed loop small bowel obstruction with bowel gangrene secondary to an incarcerated perineal hernia that developed 7 years after an ELAPE. Intraoperatively, we found a definitive transition point due to adhesions in pelvis and a closed loop obstruction of the distal small bowel at different site with gangrenous intestine. She was managed successfully surgically with adhesiolysis and fixation of defect with biological mesh. Prevalence of perineal hernias will rise in future because of the increasing cases of ELAPE, in which no repair of pelvic floor is performed. The need of follow-up of these operations and more reporting of such cases are important in increasing awareness of these complications. Patients should be made aware of such complications and should seek urgent medical care.


1987 ◽  
Vol 33 (115) ◽  
pp. 274-280 ◽  
Author(s):  
David M. Cole

AbstractThis paper presents and discusses the results of constant deformation-rate tests on laboratory-prepared polycrystalline ice. Strain-rates ranged from 10−7to 10−1s−1, grain–size ranged from 1.5 to 5.8 mm, and the test temperature was −5°C.At strain-rates between 10−7and 10−3s−1, the stress-strain-rate relationship followed a power law with an exponent ofn= 4.3 calculated without regard to grain-size. However, a reversal in the grain-size effect was observed: below a transition point near 4 × 10−6s−1the peak stress increased with increasing grain-size, while above the transition point the peak stress decreased with increasing grain-size. This latter trend persisted to the highest strain-rates observed. At strain-rates above 10−3s−1the peak stress became independent of strain-rate.The unusual trends exhibited at the lower strain-rates are attributed to the influence of the grain-size on the balance of the operative deformation mechanisms. Dynamic recrystallization appears to intervene in the case of the finer-grained material and serves to lower the peak stress. At comparable strain-rates, however, the large-grained material still experiences internal micro-fracturing, and thin sections reveal extensive deformation in the grain-boundary regions that is quite unlike the appearance of the strain-induced boundary migration characteristic of the fine-grained material.


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