scholarly journals Assessing the Impact of Square Root Transformation on Weibull-Distributed Error Component of a Multiplicative Error Model

2021 ◽  
Vol 9 (4) ◽  
pp. 94
Author(s):  
Onyemachi Chris Uchechi
Keyword(s):  
Error Component ◽  
Error Model ◽  
Square Root ◽  
Multiplicative Error ◽  
Root Transformation ◽  
The Impact

Slow Motions of A Circular Cylinder in a Liquid after a Separation Impact

2021 ◽  
pp. 16-21
Author(s):  
Michail V. Norkin
Keyword(s):  
Circular Cylinder ◽  
Small Parameter ◽  
Asymptotic Approximation ◽  
The Body ◽  
Square Root ◽  
Ship Hydrodynamics ◽  
A Value ◽  
Slow Motions ◽  
Acceleration Of Gravity ◽  
The Impact

The plane problem of the separation impact of a circular cylinder completely immersed in an ideal incompressible heavy liquid is considered. It is assumed that after the impact, the cylinder moves horizontally at a constant speed. An attached cavity is formed behind the body, the shape of which depends on the physical and geometric parameters of the problem. It is required to study the process of collapse of the cavity at low velocities of the cylinder, which correspond to small Froude numbers. The solution to the problem is constructed using asymptotic expansions in a small parameter, which is the dimensionless speed of the cylinder. In this case, as the characteristic speed of the problem, a value is chosen equal to the square root of the product of the radius of the cylinder and the acceleration of gravity. As a result of this choice, the indicated small parameter coincides with the Froude number, and therefore, we can assume that the asymptotics of the problem is constructed for small Froude numbers. In the leading asymptotic approximation, a mixed problem of potential theory with one-sided constraints on the surface of the body is formulated. With its help, the position of the separation points at each moment of time is determined and the time of collapse of a thin cavity is found. The results obtained can be used to solve practical problems of ship hydrodynamics, in which it is necessary to take into account the phenomenon of cavitation.

Transportation and Urban Development

2018 ◽  
pp. 283-305
Author(s):  
Mehmet Akif Kara
Keyword(s):  
Spillover Effect ◽  
Error Model ◽  
Transportation Infrastructure ◽  
Spatial Error Model ◽  
Test Statistic ◽  
Spatial Econometric ◽  
Spatial Error ◽  
Infrastructure Investments ◽  
Regional Economic Performance ◽  
The Impact

It is noteworthy that there is a substantial literature review that examines the impact of transportation infrastructure on urban and regional economic performance. It is observed that such infrastructure investments are focused on the economic growth as well as the spillover effect in applied studies carried out in this respect. In this study, in which the effects of highway transportation infrastructure on urban output and the spillover effect of these investments are determined using the spatial econometric method, 81 cities in Turkey have been taken into consideration, and according to the results of the study, transportation infrastructure investments in Turkey have been found to contribute positively to urban output. Also, while the Moran's I test statistic reveals the spatial dependence of such investments, the Lagrange multiplier test results also determine the need to use the spatial error model. The spatial error model results reveal the existence of the positive spillover effect of transportation infrastructure investments.

scholarly journals Design for a Highly Stable Laser Source Based on the Error Model of High-Speed High-Resolution Heterodyne Interferometers

Sensors ◽  
2020 ◽  
Vol 20 (4) ◽  
pp. 1083
Author(s):  
Hongxing Yang ◽  
Ziqi Yin ◽  
Ruitao Yang ◽  
Pengcheng Hu ◽  
Jing Li ◽  
...  
Keyword(s):  
Measurement Error ◽  
High Resolution ◽  
High Speed ◽  
Beat Frequency ◽  
Error Model ◽  
Laser Source ◽  
Measurement Error Model ◽  
High Resolution Measurement ◽  
Resolution Measurement ◽  
The Impact

Heterodyne interferometers with two opposite Doppler shift interference signals have been proposed for high-resolution measurement with high measurement speed, which can be used in the background of high-speed high-resolution measurement. However, a measurement error model for high-speed high-resolution heterodyne interferometers (HSHR-HIs) has not yet been proposed. We established a HSHR-HI measurement error model, analyzed the influence of beat frequency stability with a simplified optical structure, and then designed an offset-locked dual-frequency laser source with a digital control system to reduce the impact of beat frequency drift. Experiments were used to verify the correction of the measurement error model and the validity of the laser source. The results show that the new laser source has a maximum beat frequency range of 45 MHz, which shows the improvements in the measuring speed and resolution.

scholarly journals Control of Citrus Thrips on Lemons, 1996

1997 ◽  
Vol 22 (1) ◽  
pp. 64-65
Author(s):  
D. L. Kerns ◽  
T. Tellez
Keyword(s):  
Square Root ◽  
Air Blast ◽  
Root Transformation ◽  
Fruit Damage

Abstract Eight year old lemon trees in Yuma, AZ were treated with insecticides for control of citrus thrips. The treatments were arranged in a RCB design, consisting of four replicates. Each plot (30 by 90 ft) consisted of three trees 30 ft apart in a row. Applications were made using a backpack air-blast sprayer calibrated to deliver 100 gpa. Treatments were initiated approximately 14 days after petal fall and were applied on Apr 3, Apr 30 and May 15. Evaluations were made on 5 Apr, 9 Apr, 15 Apr, 23 Apr, 29 Apr, 2 May, 6 May, 13 May, 17 May, 20 May and 29 May. Percent infested fruit were estimated by sampling by sampling ten fruit per tree for the presence or absence of immature CT. Fruit damage was assessed on Aug 16 by rating the degree of rind scarring: 1 = no scarring, 2 = slight scarring around the calyx, 3 = significant scarring around the calyx, 4 = slight scarring on the side of the fruit and 5 = major scarring on the side of the fruit. Percentage fruit infested with immature CT were transformed using a square-root transformation for analysis, percentage values are presented in the tables. Differences among treatments were separated using ANOVA and an F protected LSD.

scholarly journals Efficacy of Experimental Insecticides to Citrus Thrips on Lemons, 1996

1997 ◽  
Vol 22 (1) ◽  
pp. 62-63
Author(s):  
D. L. Kerns ◽  
T. Tellez
Keyword(s):  
Square Root ◽  
Air Blast ◽  
Root Transformation ◽  
Fruit Damage

Abstract Eight year old lemon trees in Yuma, AZ, were treated with experimental insecticides for control of citrus thrips. The treatments were arranged in a RCB design, consisting of four replicates. Each plot (30 by 90 ft) consisted of three trees, spaced 30 ft apart, in a row. Applications were made using a backpack air-blast sprayer calibrated to deliver 100 gpa. Treatments were applied approximately seven days after petal fall on Apr 2, Apr 23 and May 08. Evaluations were made on 4 Apr, 9 Apr, 15 Apr, 23 Apr, 25 Apr, 29 Apr, 6 May, 10 May, 13 May, 20 May and 29 May. Percent infested fruit were estimated by sampling ten fruit per tree for the presence or absence of immature CT. Fruit damage was assessed on Aug 19 by rating the degree of rind scarring: 1 = no scarring, 2 = slight scarring around the calyx, 3 = significant scarring around the calyx, 4 = slight scarring on the side of the fruit and 5 = major scarring on the side of the fruit. Percentages fruit infested with immature CT were statistically analysed using a square-root transformation, but the data presented in the tables is untransformed. Differences among treatments were separated using ANOVA and an F protected LSD.

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