Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals
We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1990 |
|---|
| Reproduktion: |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
|---|---|
| Übergeordnetes Werk: |
in: Computer Physics Communications - Amsterdam : Elsevier, 59(1990), 2, Seite 359-369 |
| Übergeordnetes Werk: |
volume:59 ; year:1990 ; number:2 ; pages:359-369 |
| Links: |
|---|
| Katalog-ID: |
NLEJ178040053 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | NLEJ178040053 | ||
| 003 | DE-627 | ||
| 005 | 20210706065249.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 070505s1990 xx |||||o 00| ||eng c | ||
| 035 | |a (DE-627)NLEJ178040053 | ||
| 035 | |a (DE-599)GBVNLZ178040053 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 245 | 1 | 0 | |a Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| 264 | 1 | |c 1990 | |
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. | ||
| 533 | |f Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 | ||
| 700 | 1 | |a Lamarche, F. |4 oth | |
| 700 | 1 | |a Leroy, C. |4 oth | |
| 773 | 0 | 8 | |i in |t Computer Physics Communications |d Amsterdam : Elsevier |g 59(1990), 2, Seite 359-369 |w (DE-627)NLEJ177381655 |w (DE-600)1466511-6 |x 0010-4655 |7 nnns |
| 773 | 1 | 8 | |g volume:59 |g year:1990 |g number:2 |g pages:359-369 |
| 856 | 4 | 0 | |u http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 |
| 912 | |a GBV_USEFLAG_H | ||
| 912 | |a ZDB-1-SDJ | ||
| 912 | |a GBV_NL_ARTICLE | ||
| 951 | |a AR | ||
| 952 | |d 59 |j 1990 |e 2 |h 359-369 | ||
| matchkey_str |
article:00104655:1990----::vlainfhvlmoitretooapeeihclne |
|---|---|
| hierarchy_sort_str |
1990 |
| publishDate |
1990 |
| allfields |
(DE-627)NLEJ178040053 (DE-599)GBVNLZ178040053 DE-627 ger DE-627 rakwb eng Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals 1990 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lamarche, F. oth Leroy, C. oth in Computer Physics Communications Amsterdam : Elsevier 59(1990), 2, Seite 359-369 (DE-627)NLEJ177381655 (DE-600)1466511-6 0010-4655 nnns volume:59 year:1990 number:2 pages:359-369 http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 59 1990 2 359-369 |
| spelling |
(DE-627)NLEJ178040053 (DE-599)GBVNLZ178040053 DE-627 ger DE-627 rakwb eng Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals 1990 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lamarche, F. oth Leroy, C. oth in Computer Physics Communications Amsterdam : Elsevier 59(1990), 2, Seite 359-369 (DE-627)NLEJ177381655 (DE-600)1466511-6 0010-4655 nnns volume:59 year:1990 number:2 pages:359-369 http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 59 1990 2 359-369 |
| allfields_unstemmed |
(DE-627)NLEJ178040053 (DE-599)GBVNLZ178040053 DE-627 ger DE-627 rakwb eng Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals 1990 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lamarche, F. oth Leroy, C. oth in Computer Physics Communications Amsterdam : Elsevier 59(1990), 2, Seite 359-369 (DE-627)NLEJ177381655 (DE-600)1466511-6 0010-4655 nnns volume:59 year:1990 number:2 pages:359-369 http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 59 1990 2 359-369 |
| allfieldsGer |
(DE-627)NLEJ178040053 (DE-599)GBVNLZ178040053 DE-627 ger DE-627 rakwb eng Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals 1990 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lamarche, F. oth Leroy, C. oth in Computer Physics Communications Amsterdam : Elsevier 59(1990), 2, Seite 359-369 (DE-627)NLEJ177381655 (DE-600)1466511-6 0010-4655 nnns volume:59 year:1990 number:2 pages:359-369 http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 59 1990 2 359-369 |
| allfieldsSound |
(DE-627)NLEJ178040053 (DE-599)GBVNLZ178040053 DE-627 ger DE-627 rakwb eng Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals 1990 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 Lamarche, F. oth Leroy, C. oth in Computer Physics Communications Amsterdam : Elsevier 59(1990), 2, Seite 359-369 (DE-627)NLEJ177381655 (DE-600)1466511-6 0010-4655 nnns volume:59 year:1990 number:2 pages:359-369 http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE AR 59 1990 2 359-369 |
| language |
English |
| source |
in Computer Physics Communications 59(1990), 2, Seite 359-369 volume:59 year:1990 number:2 pages:359-369 |
| sourceStr |
in Computer Physics Communications 59(1990), 2, Seite 359-369 volume:59 year:1990 number:2 pages:359-369 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| isfreeaccess_bool |
false |
| container_title |
Computer Physics Communications |
| authorswithroles_txt_mv |
Lamarche, F. @@oth@@ Leroy, C. @@oth@@ |
| publishDateDaySort_date |
1990-01-01T00:00:00Z |
| hierarchy_top_id |
NLEJ177381655 |
| id |
NLEJ178040053 |
| language_de |
englisch |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ178040053</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210706065249.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070505s1990 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ178040053</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVNLZ178040053</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1990</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Elsevier Journal Backfiles on ScienceDirect 1907 - 2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lamarche, F.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Leroy, C.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Computer Physics Communications</subfield><subfield code="d">Amsterdam : Elsevier</subfield><subfield code="g">59(1990), 2, Seite 359-369</subfield><subfield code="w">(DE-627)NLEJ177381655</subfield><subfield code="w">(DE-600)1466511-6</subfield><subfield code="x">0010-4655</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:59</subfield><subfield code="g">year:1990</subfield><subfield code="g">number:2</subfield><subfield code="g">pages:359-369</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_H</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SDJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">59</subfield><subfield code="j">1990</subfield><subfield code="e">2</subfield><subfield code="h">359-369</subfield></datafield></record></collection>
|
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">NLEJ178040053</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20210706065249.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">070505s1990 xx |||||o 00| ||eng c</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)NLEJ178040053</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVNLZ178040053</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">1990</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Elsevier Journal Backfiles on ScienceDirect 1907 - 2002</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lamarche, F.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Leroy, C.</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">in</subfield><subfield code="t">Computer Physics Communications</subfield><subfield code="d">Amsterdam : Elsevier</subfield><subfield code="g">59(1990), 2, Seite 359-369</subfield><subfield code="w">(DE-627)NLEJ177381655</subfield><subfield code="w">(DE-600)1466511-6</subfield><subfield code="x">0010-4655</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:59</subfield><subfield code="g">year:1990</subfield><subfield code="g">number:2</subfield><subfield code="g">pages:359-369</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_H</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-SDJ</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">59</subfield><subfield code="j">1990</subfield><subfield code="e">2</subfield><subfield code="h">359-369</subfield></datafield></record></collection>
|
| series2 |
Elsevier Journal Backfiles on ScienceDirect 1907 - 2002 |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)NLEJ177381655 |
| format |
electronic Article |
| delete_txt_mv |
keep |
| collection |
NL |
| remote_str |
true |
| illustrated |
Not Illustrated |
| issn |
0010-4655 |
| topic_title |
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
f l fl c l cl |
| hierarchy_parent_title |
Computer Physics Communications |
| hierarchy_parent_id |
NLEJ177381655 |
| hierarchy_top_title |
Computer Physics Communications |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)NLEJ177381655 (DE-600)1466511-6 |
| title |
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| spellingShingle |
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| ctrlnum |
(DE-627)NLEJ178040053 (DE-599)GBVNLZ178040053 |
| title_full |
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| journal |
Computer Physics Communications |
| journalStr |
Computer Physics Communications |
| lang_code |
eng |
| isOA_bool |
false |
| recordtype |
marc |
| publishDateSort |
1990 |
| contenttype_str_mv |
zzz |
| container_start_page |
359 |
| container_volume |
59 |
| format_se |
Elektronische Aufsätze |
| title_sort |
evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| title_auth |
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| abstract |
We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. |
| abstractGer |
We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. |
| abstract_unstemmed |
We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. |
| collection_details |
GBV_USEFLAG_H ZDB-1-SDJ GBV_NL_ARTICLE |
| container_issue |
2 |
| title_short |
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals |
| url |
http://linkinghub.elsevier.com/retrieve/pii/0010-4655(90)90184-3 |
| remote_bool |
true |
| author2 |
Lamarche, F. Leroy, C. |
| author2Str |
Lamarche, F. Leroy, C. |
| ppnlink |
NLEJ177381655 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth |
| up_date |
2024-07-06T10:37:02.338Z |
| _version_ |
1803825680049242112 |
| score |
7.3981104 |