MARC details
| 000 -LEADER |
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| fixed length control field |
03921naaaa2200817uu 4500 |
| 001 - CONTROL NUMBER |
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| control field |
https://directory.doabooks.org/handle/20.500.12854/54710 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220714175015.0 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
books978-3-03928-235-7 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783039282340 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783039282357 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.3390/books978-3-03928-235-7 |
| Terms of availability |
doi |
| 041 0# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
English |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
dc |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Paliathanasis, Andronikos |
| Relator code |
auth |
| 9 (RLIN) |
1592610 |
| 245 10 - TITLE STATEMENT |
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| Title |
Noether's Theorem and Symmetry |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
MDPI - Multidisciplinary Digital Publishing Institute |
| Date of publication, distribution, etc |
2020 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 electronic resource (186 p.) |
| 506 0# - RESTRICTIONS ON ACCESS NOTE |
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| Terms governing access |
Open Access |
| Source of term |
star |
| Standardized terminology for access restriction |
Unrestricted online access |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
In Noether's original presentation of her celebrated theorem of 1918, allowances were made for the dependence of the coefficient functions of the differential operator which generated the infinitesimal transformation of the Action Integral upon the derivatives of the dependent variable(s), the so-called generalized, or dynamical, symmetries. A similar allowance is to be found in the variables of the boundary function, often termed a gauge function by those who have not read the original paper. This generality was lost after texts such as those of Courant and Hilbert or Lovelock and Rund confined attention to only point transformations. In recent decades, this diminution of the power of Noether's Theorem has been partly countered, in particular, in the review of Sarlet and Cantrijn. In this Special Issue, we emphasize the generality of Noether's Theorem in its original form and explore the applicability of even more general coefficient functions by allowing for nonlocal terms. We also look at the application of these more general symmetries to problems in which parameters or parametric functions have a more general dependence upon the independent variables. |
| 540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE |
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| Terms governing use and reproduction |
Creative Commons |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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cc |
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https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English |
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n/a |
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integrable nonlocal partial differential equations |
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continuous symmetry |
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Gauss-Bonnet cosmology |
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double dispersion equation |
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optimal systems |
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viscoelasticity |
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group-invariant solutions |
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symmetry reduction |
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Noether symmetries |
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roots |
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modified theories of gravity |
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invariant |
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variational principle |
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action integral |
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conservation laws |
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conservation law |
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Noether operators |
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quasi-Noether systems |
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Noether symmetry approach |
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wave equation |
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Lagrange anchor |
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quasi-Lagrangians |
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Lie symmetry |
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multiplier method |
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analytic mechanics |
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optimal system |
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spherically symmetric spacetimes |
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Boussinesq equation |
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lie symmetries |
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generalized symmetry |
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first integral |
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| Uncontrolled term |
Noether's theorem |
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Lie symmetries |
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nonlocal transformation |
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energy-momentum tensor |
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boundary term |
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first integrals |
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invariant solutions |
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FLRW spacetime |
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Noether operator identity |
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Kelvin-Voigt equation |
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symmetries |
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partial differential equations |
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systems of ODEs |
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| Uncontrolled term |
approximate symmetry and solutions |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Leach, P.G.L. |
| Relator code |
auth |
| 9 (RLIN) |
1592611 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Host name |
www.oapen.org |
| Uniform Resource Identifier |
<a href="https://mdpi.com/books/pdfview/book/2056">https://mdpi.com/books/pdfview/book/2056</a> |
| -- |
0 |
| Public note |
DOAB: download the publication |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Host name |
www.oapen.org |
| Uniform Resource Identifier |
<a href="https://directory.doabooks.org/handle/20.500.12854/54710">https://directory.doabooks.org/handle/20.500.12854/54710</a> |
| -- |
0 |
| Public note |
DOAB: description of the publication |
