Appendix 2: Evaluation of the integrals of potentials and field vectors due to polynomial distribution of current over bilinear surfaces

2011 ◽  
pp. 188-190
Keyword(s):  
Polynomial Distribution

Autism Spectrum Disorder Identification Using Polynomial Distribution based Convolutional Neural Network

2021 ◽  
Vol 19 (2) ◽  
pp. 19-30
Author(s):  
G. Nagarajan ◽  
Dr.A. Mahabub Basha ◽  
R. Poornima
Keyword(s):  
Neural Network ◽  
Prediction Models ◽  
Autism Spectrum ◽  
Spectrum Disorder ◽  
Machine Learning Techniques ◽  
Hybrid Technique ◽  
Learning Techniques ◽  
Chicken Swarm Optimization ◽  
Sensitivity Specificity ◽  
Polynomial Distribution

One main psychiatric disorder found in humans is ASD (Autistic Spectrum Disorder). The disease manifests in a mental disorder that restricts humans from communications, language, speech in terms of their individual abilities. Even though its cure is complex and literally impossible, its early detection is required for mitigating its intensity. ASD does not have a pre-defined age for affecting humans. A system for effectively predicting ASD based on MLTs (Machine Learning Techniques) is proposed in this work. Hybrid APMs (Autism Prediction Models) combining multiple techniques like RF (Random Forest), CART (Classification and Regression Trees), RF-ID3 (RF-Iterative Dichotomiser 3) perform well, but face issues in memory usage, execution times and inadequate feature selections. Taking these issues into account, this work overcomes these hurdles in this proposed work with a hybrid technique that combines MCSO (Modified Chicken Swarm Optimization) and PDCNN (Polynomial Distribution based Convolution Neural Network) algorithms for its objective. The proposed scheme’s experimental results prove its higher levels of accuracy, precision, sensitivity, specificity, FPRs (False Positive Rates) and lowered time complexity when compared to other methods.

Analysis of shear lag in cylindrical tubes of arbitrary cross section

1983 ◽  
Vol 389 (1797) ◽  
pp. 259-277
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Bending Moment ◽  
General Purpose ◽  
Simple Eigenvalue ◽  
Arbitrary Cross Section ◽  
Longitudinal Distribution ◽  
Shear Lag ◽  
Cylindrical Tubes ◽  
Polynomial Distribution

A very general analysis is given of the phenomenon of shear lag in thin-walled cylindrical tubes, with single-cell cross sections of arbitrary shape, containing any number of concentrated longitudinal booms that carry direct stress only, and subjected to any longitudinal distribution of bending moment and torque. Two equations relating the distributions of direct and shearing stresses on the cross section are derived for the most general case where the tube is non-uniform because of an arbitrary longitudinal variation of wall thicknesses and boom areas. These equa­tions, which are remarkably simple in view of their generality, incor­porate all the requirements of equilibrium and compatibility and provide corrections to the stresses, curvature and twist calculated from the engineers’ theory of bending and torsion. They also govern the distri­bution of stresses arising from the application of self-equilibrating systems of tractions to the end cross sections. Exact solutions are ob­tained for the case of a uniform, but otherwise arbitrary, cross section under any polynomial distribution of bending moment and torque, and it is shown how conditions at the end cross sections can be satisfied with the aid of solutions of a simple eigenvalue problem. The equations are in a particularly ideal form for incorporating into a general purpose com­puter program for the automatic numerical solution of any problem of this type.

scholarly journals An analysis of physical vulnerability to flash floods in the small mountainous watershed of Aceh Besar Regency, Aceh province, Indonesia

2018 ◽  
Vol 10 (1) ◽  
Author(s):  
A. Azmeri ◽  
Amir H. Isa
Keyword(s):  
At Risk ◽  
Loss Rate ◽  
Flash Floods ◽  
Mitigation Strategies ◽  
Physical Vulnerability ◽  
Aceh Province ◽  
The Impact ◽  
The Relationship ◽  
Elements At Risk ◽  
Polynomial Distribution

Vulnerability is a loss rate perceived from elements at risk owing to the impact of hazards on determined magnitude and frequency. Vulnerability assessment of elements at risk is a critical component in the risk assessment framework. Considerable studies regarding flash floods have been conducted, but the depth of information on vulnerability is still limited. This study presents a model of the physical vulnerability of buildings caused by the incidence of flash floods, which is strengthened through intensity of the impact process and loss. This model used a non-linear regression approach using behavioural data in the form of the propagation height of the flood. The order-2 polynomial distribution can represent the relationship between the magnitudes of the best process and loss rate. The results are the risk assessments of an exposed area in mitigation strategies.

Assessment of continuous distribution of wood properties from a low number of samples: Application to the variability of modulus of elasticity between trees and within a tree

Holzforschung ◽  
2005 ◽  
Vol 59 (5) ◽  
pp. 524-530 ◽  
Author(s):  
Henri Baillères ◽  
Olivier Vitrac ◽  
Tahiana Ramananantoandro
Keyword(s):  
Modulus Of Elasticity ◽  
Inflection Point ◽  
Continuous Distribution ◽  
Eucalyptus Grandis ◽  
Latency Period ◽  
Wood Properties ◽  
Reconstruction Technique ◽  
Cambial Age ◽  
Tree Effect ◽  
Polynomial Distribution

Abstract The aim of this study was to propose an alternative non-deterministic and non-parametric technique for describing continuous variation in modulus of elasticity (E) within and between stems. The material studied consisted of hybrid Eucalyptus (Eucalyptus urophylla×Eucalyptus grandis) stems felled at the age of 59 months. Samples for measuring E were taken along a diameter slab at 1.30 m above ground. The results showed that the proposed reconstruction technique is consistent compared to results from other studies on Eucalyptus. E increases from pith to bark, following a polynomial distribution. Local and tree-averaged E increased with cambial age, following a sigmoidal profile that can be described with five characteristic parameters (E at pith, E at inflection point, E after inflection point, cambial age when latency period ends, and cambial age at inflection point). The tree contributes little to the total variation. The most important changes in E value were found with increasing radial position, with this effect eight-fold more important than the tree effect.

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