Your browser does not allow JavaScript!
JavaScript is necessary for the proper functioning of this website. Please enable JavaScript or use a modern browser.
|
|
SLO
|
ENG
|
Cookies and privacy
DKUM
EPF - Faculty of Business and Economics
FE - Faculty of Energy Technology
FERI - Faculty of Electrical Engineering and Computer Science
FF - Faculty of Arts
FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
FKBV - Faculty of Agriculture and Life Sciences
FKKT - Faculty of Chemistry and Chemical Engineering
FL - Faculty of Logistic
FNM - Faculty of Natural Sciences and Mathematics
FOV - Faculty of Organizational Sciences in Kranj
FS - Faculty of Mechanical Engineering
FT - Faculty of Tourism
FVV - Faculty of Criminal Justice and Security
FZV - Faculty of Health Sciences
MF - Faculty of Medicine
PEF - Faculty of Education
PF - Faculty of Law
UKM - University of Maribor Library
UM - University of Maribor
UZUM - University of Maribor Press
COBISS
Faculty of Business and Economic, Maribor
Faculty of Agriculture and Life Sciences, Maribor
Faculty of Logistics, Celje, Krško
Faculty of Organizational Sciences, Kranj
Faculty of Criminal Justice and Security, Ljubljana
Faculty of Health Sciences
Library of Technical Faculties, Maribor
Faculty of Medicine, Maribor
Miklošič Library FPNM, Maribor
Faculty of Law, Maribor
University of Maribor Library
Bigger font
|
Smaller font
Introduction
Search
Browsing
Upload document
For students
For employees
Statistics
Login
First page
>
Show document
Show document
Title:
PRIMITIVNE PITAGOREJSKE TROJKE GAUSSOVIH CELIH ŠTEVIL
Authors:
ID
Redenšek, Patricija
(Author)
ID
Eremita, Daniel
(Mentor)
More about this mentor...
Files:
UNI_Redensek_Patricija_2009.pdf
(673,25 KB)
MD5: CADB4CB0FD8E7A270E8688778F17EA22
PID:
20.500.12556/dkum/d54fac6b-9b18-4f99-b76b-da7b2ba6bc08
Language:
Slovenian
Work type:
Undergraduate thesis
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
Pitagorejska trojka (x, y, z) je urejena trojka takih celih števil x, y in z, da velja x^2 + y^2 = z^2. Namen diplomskega dela je predstaviti metodo, s katero lahko generiramo vse rešitve enačbe alfa^2 + beta^2 = gama^2 v množici Gaussovih celih števil. Prvo poglavje je namenjeno predstavitvi značilnosti grške matematike in Pitagorovemu izreku. V drugem poglavju so podrobno predstavljena Gaussova cela števila in njihove lastnosti. Tretje poglavje je namenjeno obravnavi pitagorejskih trojk. Prvi del tega poglavja obravnava pitagorejske trojke celih števil. Temu sledi glavni del diplomskega dela, v katerem vpeljemo pojem primitivne pitagorejske trojke Gaussovih celih števil in proučimo lastnosti takih trojk.
Keywords:
pitagorejska trojka
,
primitivna pitagorejska trojka
,
diofantska enačba
,
cela števila
,
Gaussova cela števila
Place of publishing:
Maribor
Publisher:
[P. Redenšek]
Year of publishing:
2009
PID:
20.500.12556/DKUM-12601
UDC:
51(043.2)
COBISS.SI-ID:
17335304
NUK URN:
URN:SI:UM:DK:93OFQZTS
Publication date in DKUM:
05.01.2010
Views:
4125
Downloads:
210
Metadata:
Categories:
FNM
Cite this work
Plain text
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago 17th Author-Date
Harvard
IEEE
ISO 690
MLA
Vancouver
:
REDENŠEK, Patricija, 2009,
PRIMITIVNE PITAGOREJSKE TROJKE GAUSSOVIH CELIH ŠTEVIL
[online]. Bachelor’s thesis. Maribor : P. Redenšek. [Accessed 24 April 2025]. Retrieved from: https://dk.um.si/IzpisGradiva.php?lang=eng&id=12601
Copy citation
Average score:
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
(0 votes)
Your score:
Voting is allowed only for
logged in
users.
Share:
Similar works from our repository:
Results from the Pierre Auger Observatory
Auger highlights
Astroparticles at the high energy frontier
New electronics for the surface detectors of the Pierre Auger Observatory
Measurement of the energy spectrum of ultra-high energy cosmic rays using the Pierre Auger Observatory
Similar works from other repositories:
Diskretna regulacija krogle na plošči
Simulacije dinamičnih sistemov
Zbornik povzetkov študentskih projektov
Avtomatizacija procesnih postopkov
Avtomatizacija polnilne linije
Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.
Secondary language
Language:
English
Title:
PRIMITIVE PHYTHAGOREAN TRIPLES OF GAUSSIAN INTEGERS
Abstract:
A Pythagorean triple (x ,y ,z) consists of three integers x, y and z, such that x^2 + y^2 = z^2. The purpose of this thesis is to present the method for generating all solution of the equation alpha^2 + beta^2 = gamma^2 in the set of Gaussian integers. First chapter represents features of Greek mathematics and the Pythagorean theorem. In the second chapter we have Gaussian integers and their characteristics. Third chapter represents Pythagorean triples. After that follows the main part of this thesis in which we introduce primitive Pythagorean triples of Gaussian integers and review their characteristics.
Keywords:
Pythagorean triples
,
prime Pythagorean triples
,
Diophantine equation
,
integers
,
Gaussian integers
Comments
Leave comment
You must
log in
to leave a comment.
Comments (0)
0 - 0 / 0
There are no comments!
Back
