MARC details
| 000 -LEADER |
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| fixed length control field |
03182nam a2200433 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
TR-AnTOB |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230908000945.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
ta |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
171111s2019 xxu e mmmm 00| 0 eng d |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(TR-AnTOB)200437719 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
TR-AnTOB |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
TR-AnTOB |
| 041 0# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
Türkçe |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) |
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| Classification number |
TEZ TOBB FBE MAT YL’19 ERS |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Ersanlı, Didem |
| Relator term |
author |
| 9 (RLIN) |
126712 |
| 245 10 - TITLE STATEMENT |
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| Title |
Lineer indirgeme dizilerinin bazı ters toplamlarının hesaplanması / |
| Statement of responsibility, etc. |
Didem Ersanlı ; thesis advisor Emrah Kılıç. |
| 246 11 - VARYING FORM OF TITLE |
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| Title proper/short title |
Evaluation for certain reciprocal sums of linear recurrencesequences |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
Ankara : |
| Name of producer, publisher, distributor, manufacturer |
TOBB ETÜ Fen Bilimleri Enstitüsü, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2019. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
ix, 41 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
29 cm |
| 336 ## - CONTENT TYPE |
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| Source |
rdacontent |
| Content type code |
txt |
| Content type term |
text |
| 337 ## - MEDIA TYPE |
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| Source |
rdamedia |
| Media type code |
n |
| Media type term |
unmediated |
| 338 ## - CARRIER TYPE |
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| Source |
rdacarrier |
| Carrier type code |
nc |
| Carrier type term |
volume |
| 502 ## - DISSERTATION NOTE |
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| Dissertation note |
Tez (Yüksek Lisans)--TOBB ETÜ Fen Bilimleri Enstitüsü Temmuz 2019 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Bu tezde, $U_{0}=0$, $U_{1}=1$ ve $V_{0}=2$, $V_{1}=p$ başlangıç koşulları olmak üzere her $n\ge{2}$ için \begin{equation*} U_{n}=pU_{n-1}+rU_{n-2}\text{ ve }V_{n}=pV_{n-1}+rV_{n-2}, \end{equation*}% kuralları ile tanımlanan ikinci basamaktan lineer homojen indirgeme dizileri $\lbrace U_{n}\rbrace$ ve $\lbrace V_{n}\rbrace$ ile çalışacağız. Bu dizilerin terimlerini ihtiva eden aşağıdaki ters toplamları hesaplayacağız: \begin{equation*} \sum\limits_{k=0}^{n}(-r)^{k}\frac{V_{k+d+1}}{U_{k+d}U_{k+d+1}U_{k+d+2}}\text{ \ \ \ \ ,\ \ \ \ }\sum\limits_{k=0}^{n}(-r)^{k}\frac{U_{k-d}}{U_{k+d}U_{k+d+1}U_{k+d+2}} \end{equation*} ve $X_{n}$, $U_{n}$ ya da $V_{n}$ olmak üzere \begin{equation*} \sum\limits_{k=0}^{n}(-r)^{k}\frac{U_{k+c}U_{k+c+1}\ldots U_{k+c+m-1}}{ X_{k+d}X_{k+d+1}\ldots X_{k+d+m+1}}. \end{equation*} |
|
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| Summary, etc. |
In this thesis, we will consider second order linear homogeneous recurrences $\lbrace U_{n}\rbrace$ and $\lbrace V_{n}\rbrace$ defined by the rules for $n\ge{2}$ \begin{equation*} U_{n}=pU_{n-1}+rU_{n-2}\text{ and }V_{n}=pV_{n-1}+rV_{n-2}, \end{equation*}% where the initial conditions $U_{0}=0$, $U_{1}=1$ and $V_{0}=2$, $V_{1}=p$, respectively. We will evaluate the following reciprocal sums including terms of these sequences \begin{equation*} \sum\limits_{k=0}^{n}(-r)^{k}\frac{V_{k+d+1}}{U_{k+d}U_{k+d+1}U_{k+d+2}}\text{ \ \ \ \ ,\ \ \ \ \ }\sum\limits_{k=0}^{n}(-r)^{k}\frac{U_{k-d}}{U_{k+d}U_{k+d+1}U_{k+d+2}} \end{equation*} and \begin{equation*} \sum\limits_{k=0}^{n}(-r)^{k}\frac{U_{k+c}U_{k+c+1}\ldots U_{k+c+m-1}}{ X_{k+d}X_{k+d+1}\ldots X_{k+d+m+1}} \end{equation*} where $X_{n}$ is $U_{n}$ or $V_{n}$. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Tezler, Akademik |
| 9 (RLIN) |
32546 |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Ters toplamlar |
|
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| Uncontrolled term |
Basit kesirlere ayırma yöntemi |
|
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| Uncontrolled term |
Teleskop yaratma |
|
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| Uncontrolled term |
q-Analiz |
|
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| Uncontrolled term |
Reciprocal sums identities |
|
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| Uncontrolled term |
Partial fraction decomposition |
|
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| Uncontrolled term |
Telescobing idea |
|
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| Uncontrolled term |
q-Calculus |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Kılıç, Emrah |
| Relator term |
advisor |
| 9 (RLIN) |
126713 |
| 710 ## - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
TOBB Ekonomi ve Teknoloji Üniversitesi. |
| Subordinate unit |
Fen Bilimleri Enstitüsü |
| 9 (RLIN) |
77078 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://tez.yok.gov.tr/">https://tez.yok.gov.tr/</a> |
| Materials specified |
Ulusal Tez Merkezi |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Thesis |
| Source of classification or shelving scheme |
Other/Generic Classification Scheme |
