scholarly journals On the total differential method and its efficiency in the case of a linear regression

1960 ◽  
Vol 5 (1) ◽  
pp. 97-118
Author(s):  
Z. Pawłowski
2016 ◽  
Vol 16 (3) ◽  
pp. 138-145 ◽  
Author(s):  
Atsushi Kawamura ◽  
Chunhong Zhu ◽  
Julie Peiffer ◽  
KyoungOk Kim ◽  
Yi Li ◽  
...  

Abstract We investigated the distinctive characteristics of jean fabrics (denim fabrics obtained from jeans) and compared the physical properties and the hand. We used 13 kinds of jean fabric from commercial jeans and 26 other fabric types. The physical properties were measured using the Kawabata evaluation system, and the fabric hand was evaluated by 20 subjects using a semantic differential method. To characterise the hand of jean fabrics compared with other fabrics, we used principal component analysis and obtained three principal components. We found that jean fabrics were characterised by the second principal component, which was affected by feelings of thickness and weight. We further characterised the jean fabrics according to ‘softness & smoothness’ and ‘non-fullness’, depending on country of origin and type of manufacturer. The three principal components were analysed using multiple linear regression to characterise the components according to the physical properties. We explained the hand of fabrics including jean fabrics using its association with physical properties.


2010 ◽  
Vol 152-153 ◽  
pp. 263-268
Author(s):  
Zhen Zhong Sun ◽  
Zeng Hong ◽  
Sheng Gui Chen

By using homogenous coordinate transformation principle and Denavit-Hartenberg analysis method, a measurement kinematics model and a error model to arbitrary point of automobile panels in normal mechanical parameter measurement instrument, which the movement of the probe center is relative to machine reference frame is construct. On the basis of using wielding matrix function total differential method, building up the error delivery relation of parameter error of measuring motion model transform to the probe center, and having verified what be built the error model correctness by simulation. The error is enlarge mainly in the process of delivery from angle error, while length error are very minor in error effects. This research can establish a base for studying the measuring-error of portable type measures instrument and it's measuring accuracy.


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