Hasil Pencarian  ::  Simpan CSV :: Kembali

"This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications."

"This book is written for scientists and engineers who use HHT (Hilbert-Huang Transform) to analyze data from nonlinear and non-stationary processes. It can be treated as a HHT user manual and a source of reference for HHT applications. The book contains the basic principle and method of HHT and various application examples, ranging from the correction of satellite orbit drifting to detection of failure of highway bridges. The thirteen chapters of the first edition are based on the presentations made at a mini-symposium at the Society for Industrial and Applied Mathematics in 2003. Some outstanding mathematical research problems regarding HHT development are discussed in the first three chapters. The three new chapters of the second edition reflect the latest HHT development, including ensemble empirical mode decomposition (EEMD) and modified EMD. The book also provides a platform for researchers to develop the HHT method further and to identify more applications."

"This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated."

"Jika T SLiatu transformasi linier dari ruang vektorV berdimensi n ke ruang yektor W berdimensi m dengan m ^ n,maka Nt = (la I a e V, Ta = O]- disebut Ruang Nol dariTransformasi T. ,1,1Suatu basis dari Ruang Nol suatu transformasi Tdisebut Basis Ruang Npl untuk T.Tugas akhir ini membahas cara penghitungan Basis .Ruang Nol B dairi suatu matriks A yang berrank r m , dimanaB = PB = P -Cil^ Ci2Idengan P suatu matriks permutasi, matriks C = AP yangdipartisi menjadiCll Cl2C21 C22dimana Cii menjadi matriks r >; r yang nonsingulir dan Imatriks identitas ukuran (n-r) x (n-r).Penerapan Basis Ruang Nol akan ditunjukkan dalammencari solusi umum suatu sistem persamaan linier. •"

"Dalam tesis ini diperkenalkan ruang hasil kali dalam-n dan ruang norm-n sebagai perluasan dari ruang hasil kali dalam dan ruang norm. Setiap ruang hasil kali dalam dapat dilengkapi dengan suatu hasil kali dalam-n sederhana ...Tugas akhir ini membahas tentang sudut antara dua subruang dari suatu ruang hasil kali dalam-n dan representasinya secara geometris. Lebih lanjut, dipelajari hubungannya dengan sudut-sudut kanonik yang selama ini telah digunakan untuk mendeskripsikan sudut antara dua ruang.

---

The definitions of n-inner product space and n-normed space as generalizations of inner product space and normed space are introduced. Every inner product space can form an n-inner product space with a simple n-inner product...

This thesis discussed the angle between subspaces of an n-inner product space and its geometrical representation. Moreover, its relation to canonical angles, which has been used for describing the angles between two subspaces, is observed too."

"The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following, spectral integrals and spectral decompositions of self-adjoint and normal operators, perturbations of self-adjointness and of spectra of self-adjoint operators, forms and operators, and self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension."

"In this book the authors take an alternate approach to these theorems and generalize them to the setting of Hilbert modular varieties of arbitrary dimension. The approach is conceptual and uses tools that were not available to Hirzebruch and Zagier, including intersection homology theory, properties of modular cycles, and base change. Automorphic vector bundles, Hecke operators and Fourier coefficients of modular forms are presented both in the classical and adèlic settings. The book should provide a foundation for approaching similar questions for other locally symmetric spaces."

"Salah satu bahan yang dibahas di ruang vektor adalah keortogonalan antara dua vektor. Konsep keortogonalan umumnya dikenal di ruang hasil kali dalam. Di ruang ber-norm terdapat konsep keortogonalan Pythagoras, sama kaki (Isosceles), dan Birkhoff James. Kemudian, Gahler memperkenalkan ruang ber-norm-2 dan ruang hasil kali dalam-2. Di tesis ini, dibahas konsep keortogonalan Pythagoras, sama kaki, dan Birkhoff James di ruang ber-norm-2 dan konsep keortogonalan-G di ruang hasil kali dalam-2. Kemudian, dibahas hubungan keekuivalenan antara konsep keortogonalan Pythagoras, sama kaki, dan Birkhoff James di ruang ber-norm-2.

---

Orthogonality is one of the main topic in a vector space. Orthogonality of 2 vectors is generally known in inner product space. In normed space, there are Pythagorean, isosceles, and Birkhoff James orthogonality. Later, Gahler introduced a 2-normed space and a 2-inner product space. In this thesis, we discuss about Pythagorean, isosceles, and Birkhoff James orthogonality in a 2-normed space and G-orthogonality in a 2-inner product space. Then, we discuss the equivalency relations between Pythagorean, isosceles and Birkhoff James orthogonality in 2-normed space."