On square triangular number (Record no. 7412)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02242nam a2200241 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | CHED |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250407111245.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250403e2023 |||||||| |||| 00| 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | Commission on Higher Education |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Barachina, Danny Riel P. |
| 245 13 - TITLE STATEMENT | |
| Title | On square triangular number |
| Statement of responsibility, etc. | / Danny Riel P. Barachina |
| 260 3# - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Sampaloc, Manila |
| Name of publisher, distributor, etc. | : Eulogio Amang Rodriguez Institute of Science and Technology |
| Date of publication, distribution, etc. | ,2023. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix; 151 leaves |
| Dimensions | ; 27 x 21cm. |
| 500 ## - GENERAL NOTE | |
| General note | Thesis (Master of Science in Mathematics) -- Eulogio Amang Rodriguez Institute of Science and Technology, 2023 |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc. | In number theory, a square triangular number is a number<br/>that is both a perfect square and triangular in nature. There<br/>are infinitely many square triangular numbers. To find any<br/>square triangular number, several proof and identities are<br/>discussed in this study.<br/>The proof of each property of square triangular numbers<br/>are provided together with precise illustration of each<br/>property. Proofs are analytical in nature and are<br/>concentrated in providing significant results when applied.<br/>Generation of square triangular numbers in connection<br/>with recurrence relation and Binet's Formula is established.<br/>Different properties of square triangular numbers are also given<br/>that there in complete details and with precision to show<br/>significant formulas being used to prove and propositions. <br/>This paper sought the are several theorems relationship of square <br/>triangular numbers to generating functions, Perfect Square numbers, and Pell's Equation.<br/>With regard to the forgoing goal, it is shown that there<br/>are other numbers related to Square Triangular Numbers such<br/>as Pell and Pell - Lucas Numbers. Relationship with these<br/>numbers is shown in precise manner and several proofs of<br/>these relationships are established.<br/> |
| 650 10 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Triangular numbers |
| 650 20 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Perfect squares |
| 650 20 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Number theory |
| 650 20 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Pell's equation |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=f6f74494c6830d9563a01fc84f470266">http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=f6f74494c6830d9563a01fc84f470266</a> |
| Public note | Abstract |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=c081c558bdce5f8d4dcd167208dc8562">http://181.215.242.151/cgi-bin/koha/opac-retrieve-file.pl?id=c081c558bdce5f8d4dcd167208dc8562</a> |
| Public note | Table of Contents |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | Thesis and Dissertation |
| Suppress in OPAC | No |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type | Use restrictions |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Thesis and Dissertation | Commission on Higher Education | Commission on Higher Education | Theses and Dissertations | 04/03/2025 | LG 995 2023 C6 B37 | CHEDTD-000097 | 04/03/2025 | 04/03/2025 | Thesis and Dissertation | ||||||
| Library of Congress Classification | Digital Thesis and Dissertation | Commission on Higher Education | Commission on Higher Education | Digital Thesis and Dissertation | 04/03/2025 | LG 995 2023 C6 B37 | DCHEDTD-000041 | 04/03/2025 | 04/03/2025 | Thesis and Dissertation | Room Use Only |