MARC details
| 000 -LEADER |
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| fixed length control field |
02485cam a2200361Mi 4500 |
| 001 - CONTROL NUMBER |
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| control field |
on1296693065 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240726105305.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
220203p20212022xx o u00| u eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
UKKNU |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
UKKNU |
| Modifying agency |
OCLCO |
| -- |
OCLCF |
| -- |
UAB |
| -- |
UKKNU |
| -- |
OCLCQ |
| -- |
NT |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
3832553789 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783832553784 |
| Qualifying information |
|
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA41 |
| Item number |
.O584 2021 |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Steinbach, Martin, |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
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| Title |
On the Stability of Objective Structures /Martin Steinbach. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (174 pages). |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Augsburger Schriften zur Mathematik, Physik und Informatik ; |
| Volume # |
band 38 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographies and index. |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
The main focus of this thesis is the discussion of stability of an objective (atomic) structure consisting of single atoms which interact via a potential. We define atomistic stability using a second derivative test. More precisely, atomistic stability is equivalent to a vanishing first derivative of the configurational energy (at the corresponding point) and the coerciveness of the second derivative of the configurational energy with respect to an appropriate semi-norm. Atomistic stability of a lattice is well understood, see, e.,g., 40.. The aim of this thesis is to generalize the theory to objective structures. In particular, we first investigate discrete subgroups of the Euclidean group, then define an appropriate seminorm and the atomistic stability for a given objective structure, and finally provide an efficient algorithm to check its atomistic stability. The algorithm particularly checks the validity of the Cauchy-Born rule for objective structures. To illustrate our results, we prove numerically the stability of a carbon nanotube by applying the algorithm. |
| 530 ## - COPYRIGHT INFORMATION: |
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| COPYRIGHT INFORMATION |
COPYRIGHT NOT covered - Click this link to request copyright permission: |
| Uniform Resource Identifier |
<a href="b">b</a> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. |
| 655 #1 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic Books. |
| 758 ## - RESOURCE IDENTIFIER |
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| Relationship information |
Is found in: |
| Label |
Knowledge Unlatched |
| Real World Object URI |
https://torl.biblioboard.com/module/2774bc74-146a-484f-a7ba-ab1d6a09bbfb |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3541227&site=eds-live&custid=s3260518">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3541227&site=eds-live&custid=s3260518</a> |
| -- |
Click to access digital title | log in using your CIU ID number and my.ciu.edu password |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Online Book (LOGIN USING YOUR MY CIU LOGIN AND PASSWORD) |
| DONATED BY: |
|
| VENDOR |
EBSCO |
| Classification part |
QA. |
| PUBLICATION YEAR |
2021 |
| LOCATION |
ONLINE |
| REQUESTED BY: |
|
| -- |
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| -- |
NFIC |
| Source of classification or shelving scheme |
|
| 994 ## - |
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| -- |
92 |
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NT |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
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| a |
1 |
| b |
Cynthia Snell |
| c |
1 |
| d |
Cynthia Snell |