Miklošič Library FPNM, Maribor (PEFMB)
-
Gröbnerjeve baze in sistemi polinomskih enačb : diplomsko deloGolob, MetkaV diplomskem delu najprej predstavimo osnovne definicije teorije kolobarjev, ki jih potrebujemo skozi celotno diplomsko delo. Nato se seznanimo tudi s pojmi kolobarjev polinomov ene in več ... spremenljivk ter noetherskimi kolobarji. Obravnavamo predvsem lastnosti, ki jih ima komutativni kolobar polinomov F[x_1‚x_2‚…,x_{n}], kjer je F polje. V preostalih poglavjih se posvetimo študiju Gröbnerjevih baz. Gre za končne množice generatorjev posameznih idealov kolobarja F[x_1‚x_2‚…,x_{n}]. Nato opišemo algoritem splošnega deljenja polinomov, kjer so polinomi iz F[x_1‚x_2‚…,x_{n}], ki ga rabimo v nadaljevanju. Nadalje povemo še nekaj o uporabnosti Gröbnerjevih baz. Med drugim dokažemo Buchbergerjev kriterij, ki igra ključno vlogo pri Buchbergerjevem algoritmu. S pomočjo omenjenega algoritma lahko poiščemo Gröbnerjevo bazo poljubnega danega ideala. Definiramo tudi pojma minimalne in reducirane Gröbnerjeve baze ter pogledamo kako iz Gröbnerjeve baze dobimo omenjeni bazi. Teorija Gröbnerjevih baz se izkaže za zelo koristno pri reševanju algebraičnih enačb, saj služi kot osnova pri reševanju sistemov enačb, kjer nastopajo nelinearni polinomi. Zato si na koncu pogledamo še eliminacijsko teorijo, ki pove kako iz nekega sistema enačb dobiti nove enačbe, ki ne vsebujejo vseh prvotnih spremenljivk.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [M. Golob], 2015Language - slovenianCOBISS.SI-ID - 21725192
Author
Golob, Metka
Other authors
Romanovski, Valery |
Ferčec, Brigita
Topics
Univerzitetna in visokošolska dela |
diplomska dela |
matematika |
polinomi |
ideali |
raznoterosti |
Gröbnerjeve baze |
theses |
mathematics |
polynomials |
ideals |
varieties |
Gröbner basis
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Call number – location, accession no. ... |
Copy status | Reservation |
---|---|---|
D DIPL 0000000051 GOLOB M. Gröbnerjeve IN: 920150090 D DIPL 51 GOLOB M. Gröbnerjeve IN: 920150090 |
available - reading room
|
![loading ... loading ...](themes/default/img/ajax-loading.gif)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Golob, Metka | ![]() |
Romanovski, Valery | 20779 |
Ferčec, Brigita | 31806 |
Source: Personal bibliographies
and: SICRIS
Select pickup location:
Material pickup by post
Delivery address:
Address is missing from the member's data.
The address retrieval service is currently unavailable, please try again.
By clicking the "OK" button, you will confirm the pickup location selected above and complete the reservation process.
By clicking the "OK" button, you will confirm the above pickup location and delivery address, and complete the reservation process.
By clicking the "OK" button, you will confirm the address selected above and complete the reservation process.
Notification
Automatic login and reservation service currently not available. You can reserve the material on the Biblos portal or try again here later.
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
Pickup location | Material status | Reservation |
---|
Reservation in progress
Please wait a moment.
Reservation was successful.
Reservation failed.
Reservation...
Membership card:
Pickup location:
Miklošičeva knjižnica - FPNM bo od 17. 6. 2024 do 30. 9. 2024 odprta vsak dan od ponedljka do petka od 8.00 do 14.00.
Srečno.
Kolektiv Miklošičeve knjižnice - FPNM