functional

Serbian translation: funkcional

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
English term or phrase:functional
Serbian translation:funkcional
Entered by: Mira Stepanovic

22:44 Feb 12, 2016
English to Serbian translations [PRO]
Tech/Engineering - Mathematics & Statistics / time-delay control system
English term or phrase: functional
discrete Lyapunov-like functional.
Ovde je 'functional' imenica
Svetomir Mijovic
Serbia
Local time: 16:01
funkcional
Explanation:
functional = funkcional
function = funkcija
funkcija i funkcional su dva različita pojma u matematici
https://sr.wikipedia.org/wiki/Функционал
Функционал је у математици функција (или скуп функција) која пресликава векторски простор у скаларно поље.

https://en.wikipedia.org/wiki/Functional_(mathematics)
In mathematics, and particularly in functional analysis and the calculus of variations, a functional is a function from a vector space into its underlying scalar field, or a set of functions of the real numbers. In other words, it is a function that takes a vector as its input argument, and returns a scalar.

npr. - funkcional se spominje na bezbroj mesta ovde:
https://www.google.rs/url?sa=t&rct=j&q=&esrc=s&source=web&cd...
UNIVERZITET U NOVOM SADU
PRIRODNO-MATEMATIČKI FAKULTET
DEPARTMAN ZA MATEMATIKU I
INFORMATIKU
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Neprekidan linearan funkcional na ...

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Note added at 1 day22 hrs (2016-02-14 21:06:17 GMT)
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Bez zalaženja u objašnjavanje u čemu je razlika između funkcije i funkcionala, odavde se može jasno videti da su to dva različita pojma u matematici:
http://www.mi.sanu.ac.rs/colloquiums/mechcoll_programs/mechc...
MATEMATIČKI INSTITUT SANU
ODELJENJE ZA MEHANIKU

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Pojmovi nelinearne dinamike i Aleksandr Mikhailovich Lyapunov (1857 ~V 1918) A.M.Lyapunov
Pojmovi nelinearne dinamike sve vise prodiru u razne oblasti nauka. Znacajno mesto u tome imaju teorija stabilnosti Aleksandra Mihajlovica Ljapunova, kao i pojmovi: Ljapunovljevih funkcija prvog i drugog reda, Ljapunovljev funkcional, Ljapunovljevi eksponenti. U ovoj godini se navrsava 150 godina od rodjenja velikana mehanike i uopste nauke Aleksandra Mihajlovica Ljapunova. To je povod da se prikazu teorija stabilnosti Ljapunova i njen uticaj na savremena naucna istrazivanja, kao i pojmovi nelinearne dinamike koji imaju naucno utemeljenje i korene u radovima Ljapunova.
Selected response from:

Mira Stepanovic
Serbia
Local time: 16:01
Grading comment
Hvala!
4 KudoZ points were awarded for this answer



Summary of answers provided
5funkcional
Mira Stepanovic
4 -1(diskretna Ljapunovljeva) funkcija
LogosART


  

Answers


25 mins   confidence: Answerer confidence 4/5Answerer confidence 4/5 peer agreement (net): -1
(diskretna Ljapunovljeva) funkcija


Explanation:
Praktičnu stabilnost, ili “stabilnost na skupovima”, kroz razmatranje i procenu kvantitativnog ponašanja trajektorija kretanja na konačnom vremenskom intervalu dao je Heinen (1970, 1971), koji je i prvi našao potrebne i dovoljne uslove ovog koncepta stabilnosti, koristeći prilaz sa pozicija Ljapunova i “diskretnih Ljapunovljevih funkcija ”.
https://fedorabg.bg.ac.rs/fedora/get/o:5991/bdef:Content/get

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Note added at 28 min (2016-02-12 23:12:49 GMT)
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1 Introduction The problem of solving Lyapunov (or Lyapunov-like) matrix equations arises in numerous scientific and engineering areas;
https://books.google.hr/books?id=_G0DAPl-jqUC&pg=PA117&lpg=P...

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Note added at 34 min (2016-02-12 23:18:29 GMT)
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functional:
Mathematics. a function that has a domain whose elements are functions, sets, or the like, and that assumes numerical values.

LogosART
Croatia
Local time: 16:01
Native speaker of: Dutch
PRO pts in category: 4
Notes to answerer
Asker: Hvala!


Peer comments on this answer (and responses from the answerer)
neutral  Daryo: yes for the definition of "functional" as noun, but not so sure about the translation.
1 hr

disagree  Mira Stepanovic: "Functional" nije isto što i "function". / Please see explanation in my answer below.
1 day 21 hrs
Login to enter a peer comment (or grade)

1 day 22 hrs   confidence: Answerer confidence 5/5
funkcional


Explanation:
functional = funkcional
function = funkcija
funkcija i funkcional su dva različita pojma u matematici
https://sr.wikipedia.org/wiki/Функционал
Функционал је у математици функција (или скуп функција) која пресликава векторски простор у скаларно поље.

https://en.wikipedia.org/wiki/Functional_(mathematics)
In mathematics, and particularly in functional analysis and the calculus of variations, a functional is a function from a vector space into its underlying scalar field, or a set of functions of the real numbers. In other words, it is a function that takes a vector as its input argument, and returns a scalar.

npr. - funkcional se spominje na bezbroj mesta ovde:
https://www.google.rs/url?sa=t&rct=j&q=&esrc=s&source=web&cd...
UNIVERZITET U NOVOM SADU
PRIRODNO-MATEMATIČKI FAKULTET
DEPARTMAN ZA MATEMATIKU I
INFORMATIKU
---
Neprekidan linearan funkcional na ...

--------------------------------------------------
Note added at 1 day22 hrs (2016-02-14 21:06:17 GMT)
--------------------------------------------------

Bez zalaženja u objašnjavanje u čemu je razlika između funkcije i funkcionala, odavde se može jasno videti da su to dva različita pojma u matematici:
http://www.mi.sanu.ac.rs/colloquiums/mechcoll_programs/mechc...
MATEMATIČKI INSTITUT SANU
ODELJENJE ZA MEHANIKU

---
Pojmovi nelinearne dinamike i Aleksandr Mikhailovich Lyapunov (1857 ~V 1918) A.M.Lyapunov
Pojmovi nelinearne dinamike sve vise prodiru u razne oblasti nauka. Znacajno mesto u tome imaju teorija stabilnosti Aleksandra Mihajlovica Ljapunova, kao i pojmovi: Ljapunovljevih funkcija prvog i drugog reda, Ljapunovljev funkcional, Ljapunovljevi eksponenti. U ovoj godini se navrsava 150 godina od rodjenja velikana mehanike i uopste nauke Aleksandra Mihajlovica Ljapunova. To je povod da se prikazu teorija stabilnosti Ljapunova i njen uticaj na savremena naucna istrazivanja, kao i pojmovi nelinearne dinamike koji imaju naucno utemeljenje i korene u radovima Ljapunova.

Mira Stepanovic
Serbia
Local time: 16:01
Specializes in field
Native speaker of: Native in SerbianSerbian, Native in Serbo-CroatSerbo-Croat
PRO pts in category: 28
Grading comment
Hvala!
Login to enter a peer comment (or grade)



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