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...
| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
2010
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| Subjects: | |
| Online Access: | http://eprints.usm.my/30696/ http://eprints.usm.my/30696/1/MOHAMAD_HADI_MOOSHMAND.pdf |
| _version_ | 1848876413943283712 |
|---|---|
| author | Hooshmand, Mohamad Hadi |
| author_facet | Hooshmand, Mohamad Hadi |
| author_sort | Hooshmand, Mohamad Hadi |
| building | USM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T16:59:10Z |
| format | Thesis |
| id | usm-30696 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T16:59:10Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-306962016-10-11T04:25:34Z 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. |
| spellingShingle | QA1 Mathematics (General) Hooshmand, Mohamad Hadi B-Parts Of Real Numbers And Their Generalization |
| title | 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_short | B-Parts Of Real Numbers And Their Generalization |
| title_sort | b-parts of real numbers and their generalization |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/30696/ http://eprints.usm.my/30696/1/MOHAMAD_HADI_MOOSHMAND.pdf |