InforLorV4, Istex, Corpus, bibRecord, 000097

Common Tangents to Spheres in ℝ3

Identifieur interne : 000097 ( Istex/Corpus ); précédent : 000096; suivant : 000098

Common Tangents to Spheres in ℝ3

Auteurs : Ciprian Borcea ; Xavier Goaoc ; Sylvain Lazard ; Sylvain Petitjean

Source :

Discrete & Computational Geometry [ 0179-5376 ] ; 2006-02-01.

RBID : ISTEX:04C84E31264A16736893C662F7131243B65C646F

Abstract

Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.

Url:

https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/fulltext.pdf

DOI: 10.1007/s00454-005-1230-y

Links to Exploration step

ISTEX:04C84E31264A16736893C662F7131243B65C646F

Le document en format XML

<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Common Tangents to Spheres in ℝ3</title>
<author><name sortKey="Borcea, Ciprian" sort="Borcea, Ciprian" uniqKey="Borcea C" first="Ciprian" last="Borcea">Ciprian Borcea</name>
<affiliation><mods:affiliation>Mathematics Department, Rider University, Lawrenceville, NJ 08648, USA</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: borcea@rider.edu</mods:affiliation>
</affiliation>
</author>
<author><name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
<affiliation><mods:affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: goaoc@loria.fr</mods:affiliation>
</affiliation>
</author>
<author><name sortKey="Lazard, Sylvain" sort="Lazard, Sylvain" uniqKey="Lazard S" first="Sylvain" last="Lazard">Sylvain Lazard</name>
<affiliation><mods:affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: lazard@loria.fr</mods:affiliation>
</affiliation>
</author>
<author><name sortKey="Petitjean, Sylvain" sort="Petitjean, Sylvain" uniqKey="Petitjean S" first="Sylvain" last="Petitjean">Sylvain Petitjean</name>
<affiliation><mods:affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: petitjea@loria.fr</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:04C84E31264A16736893C662F7131243B65C646F</idno>
<date when="2005" year="2005">2005</date>
<idno type="doi">10.1007/s00454-005-1230-y</idno>
<idno type="url">https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/fulltext.pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000097</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000097</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Common Tangents to Spheres in ℝ3</title>
<author><name sortKey="Borcea, Ciprian" sort="Borcea, Ciprian" uniqKey="Borcea C" first="Ciprian" last="Borcea">Ciprian Borcea</name>
<affiliation><mods:affiliation>Mathematics Department, Rider University, Lawrenceville, NJ 08648, USA</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: borcea@rider.edu</mods:affiliation>
</affiliation>
</author>
<author><name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
<affiliation><mods:affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: goaoc@loria.fr</mods:affiliation>
</affiliation>
</author>
<author><name sortKey="Lazard, Sylvain" sort="Lazard, Sylvain" uniqKey="Lazard S" first="Sylvain" last="Lazard">Sylvain Lazard</name>
<affiliation><mods:affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: lazard@loria.fr</mods:affiliation>
</affiliation>
</author>
<author><name sortKey="Petitjean, Sylvain" sort="Petitjean, Sylvain" uniqKey="Petitjean S" first="Sylvain" last="Petitjean">Sylvain Petitjean</name>
<affiliation><mods:affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</mods:affiliation>
</affiliation>
<affiliation><mods:affiliation>E-mail: petitjea@loria.fr</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Discrete & Computational Geometry</title>
<title level="j" type="sub">An International Journal of Mathematics and Computer Science</title>
<title level="j" type="abbrev">Discrete Comput Geom</title>
<idno type="ISSN">0179-5376</idno>
<idno type="eISSN">1432-0444</idno>
<imprint><publisher>Springer-Verlag; www.springer-ny.com</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="2006-02-01">2006-02-01</date>
<biblScope unit="volume">35</biblScope>
<biblScope unit="issue">2</biblScope>
<biblScope unit="page" from="287">287</biblScope>
<biblScope unit="page" to="300">300</biblScope>
</imprint>
<idno type="ISSN">0179-5376</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0179-5376</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</div>
</front>
</TEI>
<istex><corpusName>springer-journals</corpusName>
<author><json:item><name>Ciprian Borcea</name>
<affiliations><json:string>Mathematics Department, Rider University, Lawrenceville, NJ 08648, USA</json:string>
<json:string>E-mail: borcea@rider.edu</json:string>
</affiliations>
</json:item>
<json:item><name>Xavier Goaoc</name>
<affiliations><json:string>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</json:string>
<json:string>E-mail: goaoc@loria.fr</json:string>
</affiliations>
</json:item>
<json:item><name>Sylvain Lazard</name>
<affiliations><json:string>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</json:string>
<json:string>E-mail: lazard@loria.fr</json:string>
</affiliations>
</json:item>
<json:item><name>Sylvain Petitjean</name>
<affiliations><json:string>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</json:string>
<json:string>E-mail: petitjea@loria.fr</json:string>
</affiliations>
</json:item>
</author>
<articleId><json:string>1230</json:string>
<json:string>s00454-005-1230-y</json:string>
</articleId>
<arkIstex>ark:/67375/VQC-G38R69CG-3</arkIstex>
<language><json:string>eng</json:string>
</language>
<originalGenre><json:string>OriginalPaper</json:string>
</originalGenre>
<abstract>Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</abstract>
<qualityIndicators><score>7.348</score>
<pdfWordCount>5988</pdfWordCount>
<pdfCharCount>26281</pdfCharCount>
<pdfVersion>1.3</pdfVersion>
<pdfPageCount>14</pdfPageCount>
<pdfPageSize>612 x 792 pts (letter)</pdfPageSize>
<refBibsNative>false</refBibsNative>
<abstractWordCount>29</abstractWordCount>
<abstractCharCount>163</abstractCharCount>
<keywordCount>0</keywordCount>
</qualityIndicators>
<title>Common Tangents to Spheres in ℝ3</title>
<genre><json:string>research-article</json:string>
</genre>
<host><title>Discrete & Computational Geometry</title>
<language><json:string>unknown</json:string>
</language>
<publicationDate>2006</publicationDate>
<copyrightDate>2006</copyrightDate>
<issn><json:string>0179-5376</json:string>
</issn>
<eissn><json:string>1432-0444</json:string>
</eissn>
<journalId><json:string>454</json:string>
</journalId>
<volume>35</volume>
<issue>2</issue>
<pages><first>287</first>
<last>300</last>
</pages>
<genre><json:string>journal</json:string>
</genre>
<subject><json:item><value>Computational Mathematics and Numerical Analysis</value>
</json:item>
<json:item><value>Combinatorics</value>
</json:item>
</subject>
</host>
<ark><json:string>ark:/67375/VQC-G38R69CG-3</json:string>
</ark>
<publicationDate>2006</publicationDate>
<copyrightDate>2005</copyrightDate>
<doi><json:string>10.1007/s00454-005-1230-y</json:string>
</doi>
<id>04C84E31264A16736893C662F7131243B65C646F</id>
<score>1</score>
<fulltext><json:item><extension>pdf</extension>
<original>true</original>
<mimetype>application/pdf</mimetype>
<uri>https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/fulltext.pdf</uri>
</json:item>
<json:item><extension>zip</extension>
<original>false</original>
<mimetype>application/zip</mimetype>
<uri>https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/bundle.zip</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/fulltext.tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Common Tangents to Spheres in ℝ3</title>
</titleStmt>
<publicationStmt><authority>ISTEX</authority>
<publisher scheme="https://scientific-publisher.data.istex.fr">Springer-Verlag; www.springer-ny.com</publisher>
<pubPlace>New York</pubPlace>
<availability><licence><p>Springer, 2005</p>
</licence>
<p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</p>
</availability>
<date>2004-07-13</date>
</publicationStmt>
<notesStmt><note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note>
<note type="journal" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</note>
</notesStmt>
<sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Common Tangents to Spheres in ℝ3</title>
<author xml:id="author-0000" corresp="yes"><persName><forename type="first">Ciprian</forename>
<surname>Borcea</surname>
</persName>
<email>borcea@rider.edu</email>
<affiliation>Mathematics Department, Rider University, Lawrenceville, NJ 08648, USA</affiliation>
</author>
<author xml:id="author-0001" corresp="yes"><persName><forename type="first">Xavier</forename>
<surname>Goaoc</surname>
</persName>
<email>goaoc@loria.fr</email>
<affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</affiliation>
</author>
<author xml:id="author-0002" corresp="yes"><persName><forename type="first">Sylvain</forename>
<surname>Lazard</surname>
</persName>
<email>lazard@loria.fr</email>
<affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</affiliation>
</author>
<author xml:id="author-0003" corresp="yes"><persName><forename type="first">Sylvain</forename>
<surname>Petitjean</surname>
</persName>
<email>petitjea@loria.fr</email>
<affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</affiliation>
</author>
<idno type="istex">04C84E31264A16736893C662F7131243B65C646F</idno>
<idno type="ark">ark:/67375/VQC-G38R69CG-3</idno>
<idno type="DOI">10.1007/s00454-005-1230-y</idno>
<idno type="article-id">1230</idno>
<idno type="article-id">s00454-005-1230-y</idno>
</analytic>
<monogr><title level="j">Discrete & Computational Geometry</title>
<title level="j" type="sub">An International Journal of Mathematics and Computer Science</title>
<title level="j" type="abbrev">Discrete Comput Geom</title>
<idno type="pISSN">0179-5376</idno>
<idno type="eISSN">1432-0444</idno>
<idno type="journal-ID">true</idno>
<idno type="journal-SPIN">s00454</idno>
<idno type="volume-issue-count">4</idno>
<imprint><publisher>Springer-Verlag; www.springer-ny.com</publisher>
<pubPlace>New York</pubPlace>
<date type="published" when="2006-02-01"></date>
<biblScope unit="volume">35</biblScope>
<biblScope unit="issue">2</biblScope>
<biblScope unit="page" from="287">287</biblScope>
<biblScope unit="page" to="300">300</biblScope>
</imprint>
</monogr>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><creation><date>2004-07-13</date>
</creation>
<langUsage><language ident="en">en</language>
</langUsage>
<abstract xml:lang="en"><p>Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</p>
</abstract>
<textClass><keywords scheme="Journal Subject"><list><head>Mathematics</head>
<item><term>Computational Mathematics and Numerical Analysis</term>
</item>
<item><term>Combinatorics</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="2004-07-13">Created</change>
<change when="2006-02-01">Published</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
<json:item><extension>txt</extension>
<original>false</original>
<mimetype>text/plain</mimetype>
<uri>https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/fulltext.txt</uri>
</json:item>
</fulltext>
<metadata><istex:metadataXml wicri:clean="corpus springer-journals not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType>
<istex:document><Publisher><PublisherInfo><PublisherName>Springer-Verlag</PublisherName>
<PublisherLocation>New York</PublisherLocation>
<PublisherURL>www.springer-ny.com</PublisherURL>
</PublisherInfo>
<Journal><JournalInfo JournalProductType="ArchiveJournal" NumberingStyle="Unnumbered"><JournalID>454</JournalID>
<JournalPrintISSN>0179-5376</JournalPrintISSN>
<JournalElectronicISSN>1432-0444</JournalElectronicISSN>
<JournalSPIN>s00454</JournalSPIN>
<JournalTitle>Discrete & Computational Geometry</JournalTitle>
<JournalSubTitle>An International Journal of Mathematics and Computer Science</JournalSubTitle>
<JournalAbbreviatedTitle>Discrete Comput Geom</JournalAbbreviatedTitle>
<JournalSubjectGroup><JournalSubject Type="Primary">Mathematics</JournalSubject>
<JournalSubject Type="Secondary">Computational Mathematics and Numerical Analysis</JournalSubject>
<JournalSubject Type="Secondary">Combinatorics</JournalSubject>
</JournalSubjectGroup>
</JournalInfo>
<Volume><VolumeInfo VolumeType="Regular" TocLevels="0"><VolumeIDStart>35</VolumeIDStart>
<VolumeIDEnd>35</VolumeIDEnd>
<VolumeIssueCount>4</VolumeIssueCount>
</VolumeInfo>
<Issue IssueType="Regular"><IssueInfo TocLevels="0"><IssueIDStart>2</IssueIDStart>
<IssueIDEnd>2</IssueIDEnd>
<IssueHistory><CoverDate><Year>2006</Year>
<Month>2</Month>
</CoverDate>
</IssueHistory>
<IssueCopyright><CopyrightHolderName>Springer</CopyrightHolderName>
<CopyrightYear>2006</CopyrightYear>
</IssueCopyright>
</IssueInfo>
<Article ID="s00454-005-1230-y"><ArticleInfo ArticleType="OriginalPaper" Language="En" NumberingStyle="Unnumbered" TocLevels="0" ContainsESM="No"><ArticleID>1230</ArticleID>
<ArticleDOI>10.1007/s00454-005-1230-y</ArticleDOI>
<ArticleSequenceNumber>8</ArticleSequenceNumber>
<ArticleTitle Language="En">Common Tangents to Spheres in ℝ<Superscript>3</Superscript>
</ArticleTitle>
<ArticleFirstPage>287</ArticleFirstPage>
<ArticleLastPage>300</ArticleLastPage>
<ArticleHistory><RegistrationDate><Year>2005</Year>
<Month>1</Month>
<Day>1</Day>
</RegistrationDate>
<Received><Year>2004</Year>
<Month>7</Month>
<Day>13</Day>
</Received>
<OnlineDate><Year>2005</Year>
<Month>12</Month>
<Day>30</Day>
</OnlineDate>
</ArticleHistory>
<ArticleCopyright><CopyrightHolderName>Springer</CopyrightHolderName>
<CopyrightYear>2005</CopyrightYear>
</ArticleCopyright>
<ArticleGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant>
<AbstractGrant Grant="OpenAccess"></AbstractGrant>
<BodyPDFGrant Grant="Restricted"></BodyPDFGrant>
<BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant>
<BibliographyGrant Grant="Restricted"></BibliographyGrant>
<ESMGrant Grant="Restricted"></ESMGrant>
</ArticleGrants>
</ArticleInfo>
<ArticleHeader><AuthorGroup><Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1"><AuthorName DisplayOrder="Western"><GivenName>Ciprian</GivenName>
<FamilyName>Borcea</FamilyName>
</AuthorName>
<Contact><Email>borcea@rider.edu</Email>
</Contact>
</Author>
<Author AffiliationIDS="Aff2" CorrespondingAffiliationID="Aff2"><AuthorName DisplayOrder="Western"><GivenName>Xavier</GivenName>
<FamilyName>Goaoc</FamilyName>
</AuthorName>
<Contact><Email>goaoc@loria.fr</Email>
</Contact>
</Author>
<Author AffiliationIDS="Aff2" CorrespondingAffiliationID="Aff2"><AuthorName DisplayOrder="Western"><GivenName>Sylvain</GivenName>
<FamilyName>Lazard</FamilyName>
</AuthorName>
<Contact><Email>lazard@loria.fr</Email>
</Contact>
</Author>
<Author AffiliationIDS="Aff2" CorrespondingAffiliationID="Aff2"><AuthorName DisplayOrder="Western"><GivenName>Sylvain</GivenName>
<FamilyName>Petitjean</FamilyName>
</AuthorName>
<Contact><Email>petitjea@loria.fr</Email>
</Contact>
</Author>
<Affiliation ID="Aff1"><OrgName>Mathematics Department, Rider University, Lawrenceville, NJ 08648</OrgName>
<OrgAddress><Country>USA</Country>
</OrgAddress>
</Affiliation>
<Affiliation ID="Aff2"><OrgName>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex</OrgName>
<OrgAddress><Country>France</Country>
</OrgAddress>
</Affiliation>
</AuthorGroup>
<Abstract ID="Ab1" Language="En"><Heading>Abstract</Heading>
<Para>We prove that four spheres in ℝ<Superscript>3</Superscript>
 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</Para>
</Abstract>
</ArticleHeader>
<NoBody></NoBody>
</Article>
</Issue>
</Volume>
</Journal>
</Publisher>
</istex:document>
</istex:metadataXml>
<mods version="3.6"><titleInfo lang="en"><title>Common Tangents to Spheres in ℝ3</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA"><title>Common Tangents to Spheres in ℝ3</title>
</titleInfo>
<name type="personal" displayLabel="corresp"><namePart type="given">Ciprian</namePart>
<namePart type="family">Borcea</namePart>
<affiliation>Mathematics Department, Rider University, Lawrenceville, NJ 08648, USA</affiliation>
<affiliation>E-mail: borcea@rider.edu</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<name type="personal" displayLabel="corresp"><namePart type="given">Xavier</namePart>
<namePart type="family">Goaoc</namePart>
<affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</affiliation>
<affiliation>E-mail: goaoc@loria.fr</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<name type="personal" displayLabel="corresp"><namePart type="given">Sylvain</namePart>
<namePart type="family">Lazard</namePart>
<affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</affiliation>
<affiliation>E-mail: lazard@loria.fr</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<name type="personal" displayLabel="corresp"><namePart type="given">Sylvain</namePart>
<namePart type="family">Petitjean</namePart>
<affiliation>LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedex, France</affiliation>
<affiliation>E-mail: petitjea@loria.fr</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="research-article" displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre>
<originInfo><publisher>Springer-Verlag; www.springer-ny.com</publisher>
<place><placeTerm type="text">New York</placeTerm>
</place>
<dateCreated encoding="w3cdtf">2004-07-13</dateCreated>
<dateIssued encoding="w3cdtf">2006-02-01</dateIssued>
<copyrightDate encoding="w3cdtf">2005</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<abstract lang="en">Abstract: We prove that four spheres in ℝ3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.</abstract>
<relatedItem type="host"><titleInfo><title>Discrete & Computational Geometry</title>
<subTitle>An International Journal of Mathematics and Computer Science</subTitle>
</titleInfo>
<titleInfo type="abbreviated"><title>Discrete Comput Geom</title>
</titleInfo>
<genre type="journal" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre>
<originInfo><publisher>Springer</publisher>
<dateIssued encoding="w3cdtf">2006-02-01</dateIssued>
<copyrightDate encoding="w3cdtf">2006</copyrightDate>
</originInfo>
<subject><genre>Mathematics</genre>
<topic>Computational Mathematics and Numerical Analysis</topic>
<topic>Combinatorics</topic>
</subject>
<identifier type="ISSN">0179-5376</identifier>
<identifier type="eISSN">1432-0444</identifier>
<identifier type="JournalID">454</identifier>
<identifier type="JournalSPIN">s00454</identifier>
<identifier type="VolumeIssueCount">4</identifier>
<part><date>2006</date>
<detail type="volume"><number>35</number>
<caption>vol.</caption>
</detail>
<detail type="issue"><number>2</number>
<caption>no.</caption>
</detail>
<extent unit="pages"><start>287</start>
<end>300</end>
</extent>
</part>
<recordInfo><recordOrigin>Springer, 2006</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">04C84E31264A16736893C662F7131243B65C646F</identifier>
<identifier type="ark">ark:/67375/VQC-G38R69CG-3</identifier>
<identifier type="DOI">10.1007/s00454-005-1230-y</identifier>
<identifier type="ArticleID">1230</identifier>
<identifier type="ArticleID">s00454-005-1230-y</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Springer, 2005</accessCondition>
<recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-3XSW68JL-F">springer</recordContentSource>
<recordOrigin>Springer, 2005</recordOrigin>
</recordInfo>
</mods>
<json:item><extension>json</extension>
<original>false</original>
<mimetype>application/json</mimetype>
<uri>https://api.istex.fr/ark:/67375/VQC-G38R69CG-3/record.json</uri>
</json:item>
</metadata>
<serie></serie>
</istex>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Istex/Corpus

HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000097 | SxmlIndent | more

HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 000097 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Istex
   |étape=   Corpus
   |type=    RBID
   |clé=     ISTEX:04C84E31264A16736893C662F7131243B65C646F
   |texte=   Common Tangents to Spheres in ℝ3
}}

This area was generated with Dilib version V0.6.33.
Data generation: Mon Jun 10 21:56:28 2019. Site generation: Fri Feb 25 15:29:27 2022

	Serveur d'exploration sur la recherche en informatique en Lorraine
	Attention, ce site est en cours de développement ! Attention, site généré par des moyens informatiques à partir de corpus bruts. Les informations ne sont donc pas validées.

Serveur d'exploration sur la recherche en informatique en Lorraine

Common Tangents to Spheres in ℝ3

Common Tangents to Spheres in ℝ3

Source :

Abstract

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri