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B-Parts Of Real Numbers And Their Generalization

Tiga aspek iaitu peringkat permulaan, analisis dan kaedah algebra dikaji dengan mempertimbangkan ciri-ciri asas dan utama bagi bahagian-b nombor nyata. Bagi aspek pertama, terdapat beberapa subjek dan aplikasi seperti: (a) Penjelasan teori nombor bagi bahagian-b dan ciri-ciri asasnya. (b) Aplika...

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Main Author: Hooshmand, Mohamad Hadi
Format: Thesis
Language:English
Published: 2010
Subjects:
QA1 Mathematics (General)
Online Access:http://eprints.usm.my/30696/1/MOHAMAD_HADI_MOOSHMAND.pdf
http://eprints.usm.my/30696/
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spelling my.usm.eprints.30696 http://eprints.usm.my/30696/ B-Parts Of Real Numbers And Their Generalization Hooshmand, Mohamad Hadi QA1 Mathematics (General) Tiga aspek iaitu peringkat permulaan, analisis dan kaedah algebra dikaji dengan mempertimbangkan ciri-ciri asas dan utama bagi bahagian-b nombor nyata. Bagi aspek pertama, terdapat beberapa subjek dan aplikasi seperti: (a) Penjelasan teori nombor bagi bahagian-b dan ciri-ciri asasnya. (b) Aplikasi bahagian-b untuk perwakilan unik nombor nyata: terhingga dan tidak terhingga, penggunaannya dan algoritma pembahagian itlak; beberapa rumus langsung untuk digit bagi pengembangan unik nombor' nyata tidak terhingga terhadap asas integer diperkenalkan serta perwakilan unik nombor nyata terhingga terhadap asas sebarang (nombor nyata 0, ±1) dibuktikan. (c) Aplikasi bahagian-b untuk menentukan bentuk am subset nyata bagi kala-b dan fungsinya. Considering the basic and main properties of the b-parts of real numbers, we have studied them in three aspects: elementary, analytic and algebraic methods. As the first aspect we have several subjects and their applications such as: (a) Number theoretic explanations of b-parts and their elementary properties. (b) Application of b-parts for unique finite and infinite representation of real numbers, applying them and the generalized division algorithm, we not only introduce some direct formulas for digits of the unique infinite expansion of real numbers to the base an integer but also prove a (new) unique finite representation of real numbers to the base an arbitrary real number (not equal 0, ±1). (c) Application of b-parts for determining the general form of b-periodic real subsets and functions. 2010-03 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/30696/1/MOHAMAD_HADI_MOOSHMAND.pdf Hooshmand, Mohamad Hadi (2010) B-Parts Of Real Numbers And Their Generalization. Masters thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1 Mathematics (General)
spellingShingle QA1 Mathematics (General)
Hooshmand, Mohamad Hadi
B-Parts Of Real Numbers And Their Generalization
description Tiga aspek iaitu peringkat permulaan, analisis dan kaedah algebra dikaji dengan mempertimbangkan ciri-ciri asas dan utama bagi bahagian-b nombor nyata. Bagi aspek pertama, terdapat beberapa subjek dan aplikasi seperti: (a) Penjelasan teori nombor bagi bahagian-b dan ciri-ciri asasnya. (b) Aplikasi bahagian-b untuk perwakilan unik nombor nyata: terhingga dan tidak terhingga, penggunaannya dan algoritma pembahagian itlak; beberapa rumus langsung untuk digit bagi pengembangan unik nombor' nyata tidak terhingga terhadap asas integer diperkenalkan serta perwakilan unik nombor nyata terhingga terhadap asas sebarang (nombor nyata 0, ±1) dibuktikan. (c) Aplikasi bahagian-b untuk menentukan bentuk am subset nyata bagi kala-b dan fungsinya. Considering the basic and main properties of the b-parts of real numbers, we have studied them in three aspects: elementary, analytic and algebraic methods. As the first aspect we have several subjects and their applications such as: (a) Number theoretic explanations of b-parts and their elementary properties. (b) Application of b-parts for unique finite and infinite representation of real numbers, applying them and the generalized division algorithm, we not only introduce some direct formulas for digits of the unique infinite expansion of real numbers to the base an integer but also prove a (new) unique finite representation of real numbers to the base an arbitrary real number (not equal 0, ±1). (c) Application of b-parts for determining the general form of b-periodic real subsets and functions.
format Thesis
author Hooshmand, Mohamad Hadi
author_facet Hooshmand, Mohamad Hadi
author_sort Hooshmand, Mohamad Hadi
title B-Parts Of Real Numbers And Their Generalization
title_short B-Parts Of Real Numbers And Their Generalization
title_full B-Parts Of Real Numbers And Their Generalization
title_fullStr B-Parts Of Real Numbers And Their Generalization
title_full_unstemmed B-Parts Of Real Numbers And Their Generalization
title_sort b-parts of real numbers and their generalization
publishDate 2010
url http://eprints.usm.my/30696/1/MOHAMAD_HADI_MOOSHMAND.pdf
http://eprints.usm.my/30696/
_version_ 1643707237534793728
score 13.211869

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