a:link {
    color: #0000FF;
    text-decoration: none;
}
a:visited {
    text-decoration: none;
    color: #0000FF;
}
a:hover {
    text-decoration: none;
    color: #0000FF;
}
a:active {
    text-decoration: none;
    color: #0000FF;}


/* global */

body { margin: 10pt; 
       background-color: #FFFF80; 
       background-image: url("../../logowebMath1.gif ");
       background-repeat : no-repeat;
       background-position : top right;
       background-attachment : fixed;
       }

math { text-align: left; }

p.NoSpace { margin: 0pt }

img { vertical-align: middle;  } 

/* Frontmatter */

.Title { margin: 36pt 2pt 4pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 24pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.Subtitle { margin: 6pt 2pt 4pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 16pt;
    font-weight: normal;
    font-style: italic;
    text-align: left;
    color: #000080;
    }

.Subsubtitle { margin: 6pt 2pt 2pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 13pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000080;
    }

.Source,.DateReceived,.CopyrightYear
 { margin: 12pt 2pt 0pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 8pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.ISSN,.Volume,.Number,.FirstPage,.LastPage,.URL,
.DateRevisionRequested,.DateRevisionReceived,.DateAccepted,
.DatePublished, 
.CopyrightBy
 { margin: 0pt 2pt 0pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 8pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.Date { margin: 0pt 120pt 6pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 7pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000080;
    border-top: 1pt solid #000000;
    padding-top: 4pt;
    }

.Author { margin: 24pt 2pt 0pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000080;
    }

.AuthorTitle, .Institution { margin: 0pt 2pt 0pt 24pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000080;
    }

.AuthorEmail { margin: 0pt 2pt 0pt 24pt;
    font-family: "Courier New", Courier;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #0000FF;
    }

.AbstractSection { margin: 18pt 120pt 0pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 12pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000080;
    border-bottom: 1pt solid #000000;
    padding-bottom: 4pt;
    }

.AbstractSubsection { margin: 2pt 120pt 0pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: bold;
    font-style: italic;
    text-align: left;
    color: #000080;
    }

.Abstract, .AbstractContinuation, .AbstractMath { margin: 4pt 120pt 4pt 24pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000080;
    }

.AbstractShortSection { margin: 7pt 2pt 2pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.AbstractShort { margin: 3pt 2pt 3pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

/* 
(.TOCHeading, .TOCIllustrations, .TOCTables are H3s)
*/

.TOCFrontmatterHeading, .TOCBackmatterHeading, 
.TOCFrontBackHeading, .TOCSection, 
.TOCBookFrontmatterHeading, .TOCBookBackmatterHeading, 
.TOCBookFrontBackHeading, .TOCBookChapterTitle, 
    { margin: 1pt 2pt 1pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 12pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.TOCSubsection, .TOCFigure, .TOCSupplemental, .TOCPicture,
.TOCIllustration, .TOCProgram, .TOCTable, .TOCItem,
.TOCBookSection, .TOCBookFigure, .TOCBookSupplemental, 
.TOCBookPicture, .TOCBookIllustration, .TOCBookProgram, 
.TOCBookTable, .TOCBookItem,
    { margin: 1pt 2pt 1pt 24pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.TOCSubsubsection, .TOCBookSubsection
    { margin: 1pt 2pt 1pt 48pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.TOCPageNumber, .TOCBookPageNumber
    {
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    }

.TOCSpacer, .TOCBookSpacer
    { margin: 0pt 2pt 0pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.TOCBookHeading, .TOCBookIllustrations, .TOCBookTables, 
.LOASection
    { margin: 72pt 2pt 98pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 21pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.TOCBookPartTitle, 
    { margin: 1pt 2pt 1pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 14pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

table.TOC {
    width: 98%;
    margin: 0pt 0pt 0pt 0pt;
    padding: 0pt 0pt 0pt 0pt;
     }

td.TOCPage { 
    width: 4%; 
    text-align: right;
    }

.LOAItem { margin: 4pt 2pt 4pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.LOAAbbreviation { font-weight: bold; }
    
/* keyboard shortcuts styles */

h3 { margin: 24pt 2pt 4pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 14pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    border-bottom: 1pt solid #000000;
    padding-bottom: 4pt;
    }

h4 { margin: 16pt 2pt 3pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 12pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

h5 { margin: 9pt 2pt 3pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #333333;
    }

.Subsubsubsection { margin: 6pt 2pt 3pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #333333;
    }

.SectionAlt { margin: 24pt 2pt 3pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 12pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    border: none;
    }

.SubsectionAlt { margin: 12pt 2pt 3pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.SubsubsectionAlt { margin: 6pt 2pt 3pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #4C4C4C;
    }

.SubsubsubsectionAlt { margin: 6pt 2pt 3pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: italic;
    text-align: left;
    color: #4C4C4C;
    }

.Text, .TextContinuation, .TextNoIndent, .Acknowledgments, .Appendix 
    { margin: 5pt 2pt 3pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: justify;
    color: #000000;
    }
    
    
.Citacia 
    { margin: 24pt 2pt 4pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #FB0000;
    border-top: 1pt solid #FB0000;
    padding-bottom: 4pt;
    }
/* Itemized Lists */

li { margin: 2pt 12pt 1pt 2pt;
    font-family: "Times New Roman", Times;
    font-size:10pt;
    }

ol ol { list-style: lower-alpha; }

ol ol ol { list-style: lower-roman; }

.Item1Paragraph, .Item2Paragraph, .Item3Paragraph 
{ margin-top: 3pt; margin-bottom: 3pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

/* Illustrations */

.Figure, .Picture, .Illustration, .Graphics 
    { margin: 7pt 2pt 0pt 2pt; text-align: left; }

.FigureCaption, .PictureCaption, .IllustrationCaption,
.ProgramCaption, .Caption 
    { margin: 2pt 2pt 6pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 7pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.FigureCaptionLabel, .PictureCaptionLabel, 
.IllustrationCaptionLabel,
.ProgramCaptionLabel, .CaptionLabel,
.FigureNumber, .PictureNumber, .IllustrationNumber,
.ProgramNumber, .CaptionNumber,
.TableTitleLabel, .TableNoteLabel
    { font-weight: bold; }

.FigureText, .PictureText, .IllustrationText, .ProgramText
    { margin: 0pt 2pt 12pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 7pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.Program { margin: 7pt 2pt 2pt 2pt;
    font-family: "Courier New", Courier;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    border-bottom: 1pt solid #000000;
    border-top: 1pt solid #000000;
    padding-bottom: 4pt;
    padding-top: 4pt;
    }

.SupplementalCaptionLabel { margin: 7pt 2pt 1pt 2pt;
    border-bottom: 1px solid black;
    font-family: Helvetica, Arial;
    font-size: 9pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.SupplementalCaption { margin: 4pt 2pt 8pt 2pt;
    border-bottom: 1px solid black;
    font-family: Helvetica, Arial;
    font-size: 9pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.SupplementalText { margin: 4pt 2pt 7pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.FigureFile, .Supplemental { margin: 2pt 2pt 7pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    background-color:#C6C6EC;
    padding:3pt;
    }

.TableTitle { margin: 7pt 2pt 1pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

table { margin: 1pt 2pt 1pt 2pt; }

table.TableMasterGrid { width:100%; 
    margin: 3pt 2pt 7pt 2pt;
    border-bottom: 1pt solid #000000;
    border-top: 2pt solid #000000;
    }

table.TableMasterGrid td.TableLineElement {
    border-bottom: solid 1pt #000000;
    font-size: 1pt;
    padding: 0pt;
    margin:0pt;
    line-height: 0pt;
    }

.TableNote { margin: -3pt 2pt 7pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #4C4C4C;
    }

.TableColumnHead, .TableSpanHead {
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: italic; 
    color: #000000;
    }

.TableText, .TableSpanText {
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal; 
    color: #000000;
    }

.Extract { margin: 8pt 12pt 8pt 24pt;
    font-family: "Times New Roman", Times;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

/* mathematics */

.Equation, .EquationWide, 
.EquationNumbered, .EquationWideNumbered, 
.AppendixEquation,
.EquationGroupAlignedNumbered, .EquationGroupAligned,
.EquationGroupNumbered, .EquationGroup,
.SubequationNumbered, .SubequationAlignedNumbered, {
    margin: 7pt 2pt 7pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal; 
    text-align: left; 
    font-style: normal; 
    color: #000000;
    }

table.EquationNumbered {
    width: 100%;
    }

table.EquationWideNumbered {
    width: 100%;
    }

table.AppendixEquation {
    width: 100%;
    }

table.AppendixEquation td.AppendixEquationLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

table.EquationNumbered td.EquationNumberedLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

table.EquationWideNumbered td.EquationWideNumberedLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

table.EquationGroup,
table.EquationGroupNumbered,
table.SubequationNumbered {
    width: 100%;
    padding-top: 0pt;
    padding-bottom: 0pt;
    margin-top: 0pt;
    margin-bottom: 0pt;
    }

p.EquationGroup {
    padding-left: 4.5%;
    }

table.EquationGroupNumbered td.EquationGroupNumberedLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

table.SubequationNumbered td.SubequationNumberedLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

.EquationGroupAligned table {
    width: 100%;
    padding-top: 0pt;
    padding-bottom: 0pt;
    padding-left: 4.5%;
    margin-top: 0pt;
    margin-bottom: 0pt;
    }

.EquationGroupAligned table td,
.EquationGroupAligned table th {
    padding: 0pt;
    }

table.EquationGroupAlignedNumbered {
    width: 100%;
    padding-top: 0pt;
    padding-bottom: 0pt;
    margin-top: 0pt;
    margin-bottom: 0pt;
    }

table.SubequationAlignedNumbered {
    width: 100%;
    padding-top: 0pt;
    padding-bottom: 0pt;
    margin-top: 0pt;
    margin-bottom: 0pt;
    }

table.EquationGroupAlignedNumbered td,
table.EquationGroupAlignedNumbered th,
table.SubequationAlignedNumbered td,
table.SubequationAlignedNumbered th {
    padding: 0pt;
    }

table.EquationGroupAlignedNumbered td.EquationGroupAlignedNumberedLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

table.SubequationAlignedNumbered td.SubequationAlignedNumberedLabel {
    width: 4%;
    font-size: 10pt;
    padding: 0pt;
    }

.Theorem,.Corollary,.Lemma,.Proposition,.Conjecture
    { margin: 7pt 2pt 7pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: italic;
    text-align: left;
    color: #000000;
    text-align: justify;
    }

.Definition,.Axiom,.Example,.Remark,.Proof
    { margin: 7pt 2pt 7pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    text-align: justify;
    }

.TheoremLabel,.CorollaryLabel,.LemmaLabel,.PropositionLabel,
.ConjectureLabel,.DefinitionLabel,.AxiomLabel,.ExampleLabel
    {
    font-weight: bold;
    font-style: normal;
    }

.RemarkLabel,.ProofLabel, .CaseLabel, .ProblemsLabel
    {
    font-weight: normal;
    font-style: italic;
    }

.ProofSection, .CaseSection, .ProblemsSection
    { margin: 7pt 2pt 7pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

/* Cross-References */

.XRef { color: #000000; text-decoration:none }
.DkBlue { color: #000080; }

/* Backmatter */

.Reference, .Endnote { margin: 1pt 2pt 1pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

td.EndnoteLabel { width: 32px; }
td.ReferenceLabel { width: 32px; }

.RefReviewVolume, .RefJournalVolume
    { font-weight: bold; font-style: normal; }

.RefBookTitle, .RefJournalTitle, .RefSchoolDept
{ font-weight: normal; font-style: italic; }

.IndexEntry { 
    margin: 0pt 2pt 2pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.IndexSubentry { 
    margin: 0pt 2pt 2pt 18pt;
    font-family: "Times New Roman", Times;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.IndexSubsubentry { 
    margin: 0pt 2pt 2pt 30pt;
    font-family: "Times New Roman", Times;
    font-size: 9pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.IndexNote { 
    margin: 0pt 2pt 2pt 2pt;
    font-family: "Times New Roman", Times;
    font-size: 9pt;
    font-weight: normal;
    font-style: italic;
    text-align: left;
    color: #000000;
    }

/* Book Elements */

.BookPartLabel { 
    margin: 7pt 48pt 7pt 48pt;
    font-family: Helvetica, Arial;
    font-size: 24pt;
    font-weight: bold;
    font-style: normal;
    text-align: center;
    color: #000000;
    }

.BookPartTitle { 
    margin: 7pt 48pt 12pt 48pt;
    font-family: Helvetica, Arial;
    font-size: 30pt;
    font-weight: bold;
    font-style: normal;
    text-align: center;
    color: #000000;
    }

.BookPartSubtitle { 
    margin: 7pt 48pt 12pt 48pt;
    font-family: Helvetica, Arial;
    font-size: 21pt;
    font-weight: bold;
    font-style: normal;
    text-align: center;
    color: #000000;
    }

.BookPartSubsubtitle { 
    margin: 7pt 48pt 12pt 48pt;
    font-family: Helvetica, Arial;
    font-size: 16pt;
    font-weight: normal;
    font-style: normal;
    text-align: center;
    color: #000000;
    }

.BookPartText { 
    margin: 7pt 60pt 7pt 60pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    text-indent: 10pt;
    color: #000000;
    }

.BookPartTextNoIndent { 
    margin: 7pt 60pt 7pt 60pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.BookChapterLabel { 
    margin: 72pt 2pt 4pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 11pt;
    font-weight: normal;
    font-style: normal;
    text-align: center;
    color: #000000;
    }

.BookChapterNumber { 
    font-family: Helvetica, Arial;
    font-size: 17pt;
    font-weight: bold;
    font-style: normal;
    text-align: center;
    color: #000000;
    }

.BookChapterTitle
    { margin: 36pt 2pt 24pt 2pt;
    font-family: Helvetica, Arial;
    font-size: 21pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

.Epigraph { margin: 0pt 48pt 0pt 48pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: italic;
    text-align: left;
    color: #000000;
    }

.EpigraphAuthor { margin: 10pt 48pt 21pt 48pt;
    font-family: "Times New Roman", Times;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }

/* miscellaneous */

.PageBreak { page-break-before:always; }

/* Common Inline */

.RM  { font-style: normal; font-weight: normal }
.BF  { font-style: normal; font-weight: bold }
.IT  { font-style: italic; font-weight: normal }
.TR  { font-family: "Times New Roman", Times; font-style: normal; font-weight: normal }
.TI  { font-family: "Times New Roman", Times; font-style: italic; font-weight: normal }
.TB  { font-family: "Times New Roman", Times; font-style: normal; font-weight: bold }
.TBI { font-family: "Times New Roman", Times; font-style: italic; font-weight: bold }
.MR  { font-family: "Courier New", Courier; font-style: normal; font-weight: normal }
.MO  { font-family: "Courier New", Courier; font-style: italic; font-weight: normal }
.MB  { font-family: "Courier New", Courier; font-style: normal; font-weight: normal }
.MBO { font-family: "Courier New", Courier; font-style: italic; font-weight: bold }
.SR  { font-family: Helvetica, Arial; font-style: normal; font-weight: normal }
.SO  { font-family: Helvetica, Arial; font-style: italic; font-weight: normal }
.SB  { font-family: Helvetica, Arial; font-style: normal; font-weight: bold }
.SBO { font-family: Helvetica, Arial; font-style: italic; font-weight: bold }

/* conformance */

.Input { margin: 7pt 12pt 7pt 48pt;
    font-family: Courier New, Courier;
    font-size: 10pt;
    font-weight: bold;
    font-style: normal;
    text-align: left;
    color: #000000;
    }
.Output { margin: 7pt 12pt 7pt 48pt;
    font-family: Courier New, Courier;
    font-size: 10pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #000000;
    }
.CellLabel { margin: 7pt 2pt 2pt 24pt;
    font-family: Helvetica, Arial;
    font-size: 7pt;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    color: #0000ff;
    }