This book is intended for a wide range of researchers both from academia and industry interested in contributing to industries in an interdisciplinary way. The primary industries, including agriculture, fishery, and power industries, are the most fundamental infrastructure of the human societies. Traditionally, primary industries have been managed in the small family/community base, but with increase in population and development of society, the size of primary industry has grown. The efficiency, quality, and stability of these industries affect the societies significantly, so that they have become one of the major areas that mathematics could contribute to substantially. Also, primary industries are affected by the environment, where mathematical studies play an essential role. The conference was hosted by the research community in New Zealand, where such collaborative activities in mathematics between the industry and academia have been successfully established from an early stage. This enabled the conference to bring together a range of research topics- from pioneering works to cutting-edge results, from agriculture to geothermal energy and nuclear fusion, and from mathematical modeling and analysis to data analysis.
Author(s): Robert McKibbin, Graeme Wake, Osamu Saeki
Series: Mathematics for Industry, 36
Publisher: Springer
Year: 2022
Language: English
Pages: 169
City: Singapore
Organization
Preface
Contents
About the Editors
A Model for Coating Steel—Draining Under Gravity
1 Introduction
2 Unidirectional Flow—Gravity Draining
2.1 Broad Flat Sheet
2.2 Circular Object
3 ``Mainly'' Unidirectional Flow
4 More Solutions: Perturbations to a Flat Sheet
4.1 An ``Exact'' Solution—Corrugation
4.2 Single Bumps and Dips
5 Final Remarks
References
Measuring Moisture in Bauxite with Microwaves
1 Introduction
1.1 Problem Description
1.2 Problem Statement
2 Previous Studies
3 Analysis of Raw Phase Data
3.1 Phase Shifts
3.2 Noise and the Squircle
3.3 Corrections to Phase Values
3.4 Data Exploration
3.5 Lifting the Phase
3.6 Lifting Algorithm
3.7 Squircle Data Versus Lifted Phase
3.8 Using Lifted Phase
3.9 Lagged Height Measurement
3.10 Attenuation and Interference
3.11 Calibration of Analyser Data
4 Polarisation Theory and Phase Shift
4.1 Waves in Materials
4.2 Dielectric Polarisation
5 Theory of Operation
6 Attenuation and the Beer-Lambert Law
7 Discussion
8 Conclusions
References
The Magnetic Field About a Three-Dimensional Cylindrical Magnet
1 Introduction
2 The 3D Magnetic Field
3 Properties of the Magnetic Field
4 Magnetised Disk
5 Summary
References
New Models for Deformations: Linear Distortion and the Failure of Rank-One Convexity
1 Introduction
1.1 Aspects of Material Science
1.2 Distortion Functions
1.3 Polyconvex Distortion Functions
1.4 Definition of Linear Distortion
2 A Model Problem
3 The Linear Distortion
3.1 Rank-One Convexity
3.2 Optimal Rank-One Directions
4 Optimal Directions
5 The Singular Values of (A+t B0)T(A+tB0)
6 The Jump Ratio
7 Limit Regimes—One and Two Dimensions
References
Water Usage Monitoring System for Plants Based on a Weight Sensor and Imagery Motion Analysis
1 Introduction
2 Materials and Methods
2.1 Overview of the Measurement Setup
2.2 Arduino-Based Measurement System for Plant Weight and Environmental Condition
2.3 Plant Image Acquisition and Motion Analysis Using the Optical Flow Method
2.4 Experiment of Weight Measurement and Image Acquisition
3 Results and Discussion
3.1 Determination of Plant Body Motion Using Optical Flow Analysis
3.2 Effect of Environmental Conditions on Plant Weight and Motion Displacement
4 Conclusions
References
Development of Plant Phenotyping Platform Using Low-Cost IoT Devices and Its Performance Evaluation
1 Introduction
2 Materials and Methods
2.1 Overview of the Phenotyping Platform
2.2 Plant Cultivation and Imaging Test
2.3 Plant Height Extraction Using RGB-D Sensor
3 Results and Discussion
3.1 Performance of Unmanned Automatic Driving System
3.2 Influence of Different Binarisation Methods on Leaf Region Extraction
3.3 Accuracy of Plant Height Estimation
3.4 Growth Curve and Spatial Distribution of Plants
4 Conclusions
References
Why Do Meals During the Resting Time Cause Fat Accumulation in Mammals?—Mathematical Modeling of Circadian Control on Glucose Metabolism
1 Introduction
2 Material and Methods
2.1 A Mathematical Model of Glucose Metabolism
2.2 Risks of Energy Homeostasis and Hyperglycemia
2.3 An Index to Measure an Increased Fat Accumulation by Food Intake in the Resting Time
2.4 Parameter Values Used for Numerical Calculation of the Model
3 Results
3.1 Minimizing the Risk of Energy Depletion
3.2 The Risk of Hyperglycemia is Low When Fat Synthesis is Peaked During the Active Time
3.3 Fat Synthesis Synchronized with Glucose Input Causes Increased Fat Accumulation by Food Intake in the Resting Phase
4 Discussion
References
Prediction of Gene Expression Level Using Hierarchical Generalized Linear Model
1 Introduction
2 Methods
2.1 Data Preprocessing
2.2 Model Establishment
3 Results
4 Conclusion
References
Development of Algorithm Improving Label Arrangements in Offset Printing
1 Introduction
2 Offset Label Printing Process
2.1 Label Printing Process
2.2 Major Points for Cost Saving
2.3 Sorting Reports Output Program
3 Modeling and Flowchart
4 Examples
5 Result
References
