In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences. Contents: Basic Properties of the Golden Ratio; Geometric Problems in Two Dimensions; Geometric Problems in Three Dimensions; Fibonacci Numbers; Lucas Numbers and Generalized Fibonacci Numbers; Continued Fractions and Rational Approximants; Generalized Fibonacci Representation Theorems; Optimal Spacing and Search Algorithms; Commensurate and Incommensurate Projections; Penrose Tilings; Quasicrystallography; Biological Applications; Construction of the Regular Pentagon; The First 100 Fibonacci and Lucas Numbers; Relationships Involving the Golden Ratio and Generalized Fibonacci Numbers. Readership: Applied mathematicians.
In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed.
' Buku ini memuat laporan oleh Asia Competitiveness Institute (ACI) yang diperbaharui setiap tahunnya untuk menganalisis daya saing Indonesia, baik di 33 provinsi maupun di enam wilayah berdasarkan Masterplan Percepatan dan Perluasan Pembangunan Ekonomi Indonesia (MP3EI). Dengan 104 indikator yang meliputi empat lingkup, metodologi studi yang unik menggabungkan kekuatan dan kelemahan komparatif serta menerapkan analisis kausalitas Geweke untuk beberapa indikator terkait. Terlepas dari hasil skor dan peringkat, simulasi kebijakan "what if" menawarkan rekomendasi praktis bagi masing-masing provinsi untuk meningkatkan daya saing secara komprehensif serta mempercepat pertumbuhan ekonomi dan pembangunan yang berimbang, adil, dan berkelanjutan. Analisis kualitatif dan kuantitatif melalui proses kolaborasi dengan berbagai pemangku kepentingan memberikan alur yang menarik bagi Indonesia untuk mencapai posisi paling strategis baik dalam konteks regional Asia maupun global. The English version of the book can be found at: 2014 Provincial and Inaugural Regional Competitiveness Analysis: Safeguarding Indonesia''s Growth Momentum. Contents:Analisis Peringkat Daya Saing dan Studi Simulasi untuk 33 Provinsi di Indonesia Tahun 2014Peringkat Daya Saing Wilayah dan Strategi Pembangunan untuk Indonesia Tahun 2014: Perspektif Kebijakan KewilayahanAnalisis Daya Saing Wilayah SumateraAnalisis Daya Saing Wilayah JawaAnalisis Daya Saing Wilayah KalimantanAnalisis Daya Saing Wilayah SulawesiAnalisis Daya Saing Wilayah Bali-Nusa TenggaraAnalisis Daya Saing Wilayah Maluku-PapuaAnalisis Geweke dalam Hubungan Kausalitas untuk Provinsi Jawa Timur, Kalimantan Timur, Maluku Utara dan Nusa Tenggara TimurKata Penutup dan Agenda Penelitian BerikutnyaLampiran 1: Daftar IndikatorLampiran 2: Penghitungan Peringkat: AlgoritmaLampiran 3: Catatan Agregasi Data Dari Tingkat Provinsi ke Tingkat Wilayah Readership: Scholars and researchers studying ASEAN economics, in particular Indonesia''s. Keywords:Indonesia;Bahasa;Momentum;Provincial;Analysis'
Menurut Kementerian Koordinator Bidang Perekonomian, kecenderungan
realisasi investasi dalam proyek MP3EI didominasi oleh proyek pemerintah dan
BUMN.16 Untuk itu, komitmen pemerintah provinsi untuk mendukung iklim investasi ...
One critical barrier leading to successful implementation of flexible manufacturing and related automated systems is the ever-increasing complexity of their modeling, analysis, simulation, and control. Research and development over the last three decades has provided new theory and graphical tools based on Petri nets and related concepts for the design of such systems. The purpose of this book is to introduce a set of Petri-net-based tools and methods to address a variety of problems associated with the design and implementation of flexible manufacturing systems (FMSs), with several implementation examples.There are three ways this book will directly benefit readers. First, the book will allow engineers and managers who are responsible for the design and implementation of modern manufacturing systems to evaluate Petri nets for applications in their work. Second, it will provide sufficient breadth and depth to allow development of Petri-net-based industrial applications. Third, it will allow the basic Petri net material to be taught to industrial practitioners, students, and academic researchers much more efficiently. This will foster further research and applications of Petri nets in aiding the successful implementation of advanced manufacturing systems.
ANALYSIS. The development of human-made systems requires that both
functional and performance requirements be met. ... This chapter presents a Petri
net (PN) approach to performance modeling and analysis of automated
manufacturing ...
The Institute for Mathematical Sciences at the National University of Singapore hosted a two-month research program on OC Mathematical Theory and Numerical Methods for Computational Materials Simulation and DesignOCO from 1 July to 31 August 2009. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects four expanded lecture notes with self-contained tutorials. They cover a number of aspects on multiscale modeling, analysis and simulations for problems arising from materials science including some critical components in computational prediction of materials properties such as the multiscale properties of complex materials, properties of defects, interfaces and material microstructures under different conditions, critical issues in developing efficient numerical methods and analytic frameworks for complex and multiscale materials models. This volume serves to inspire graduate students and researchers who choose to embark into original research work in these fields.
eling, analysis, simulation and design, the two-month program provided a forum
for the participants to: • present the recently developed mathematical theories,
including modeling, analysis and computational techniques that is relevant to ...
