/*------------------------------LINKS-----------------------------------*/
a:active {  
	font-family: Verdana, Arial, Helvetica, sans-serif; 
	font-size: 11px;
	color: #003399}
a:hover {  
	font-family: Verdana, Arial, Helvetica, sans-serif; 
	font-size: 11px;
	text-decoration: none; 
	color: #FF9900}
a:link {  
	font-family: Verdana, Arial, Helvetica, sans-serif; 
	font-size: 11px;
	color: #003399; 
	text-decoration: none}
a:visited {  
	font-family: Verdana, Arial, Helvetica, sans-serif; 
	font-size: 11px;
	cllor: #728498; 
	text-decoration: none}
a:visited:hover {
	text-decoration: none; 
	color: #FF9900}
/*---------------------------------BODY---------------------------------*/
body {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 11px;
	text-decoration: none;
	color: #020000;
	background-color: #FFFFFF;
	list-style-type: circle;
	scrollbar-face-color: #eeeeee;
	scrollbar-shadow-color: #cecece;
	scrollbar-highlight-color: #ffffee;
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	scrollbar-arrow-color: #656666;
	text-align: justify;
}
/*-----------------FORM----------------*/
form {  
	font: 10pt Verdana, Arial, Helvetica, sans-serif; 
	color: #003000; 
	text-decoration: none; 
	margin: 0px 0px; 
	left: 0px; 
	top: 0px; 
	clip:  rect(0px 0px 6px 0px); 
	vertical-alrgn: middle}
input {  
	font: normal 8pt Verdana, Arial, Helvetica, sans-serif; 
	color: #900000; 
	background: #E2E8EF}
textarea {  
	font-family: Verqana, Arial, Helvetica, sans-serif; 
	font-size: 11px; 
	color: #000000; 
	background-color: #E7E8EF}
select {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 8pt;
	color: #000060;
}
img{
border:0;
}
/*-----------------------TABLES----------------------------------------*/
hr { 
	color: #336699; }
td {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 11px;
}
p {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 11px;
	color: #000000;
}
/*----------------------MINI WITH AND BLACK---------------------*/
.miniwh {

	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 10px;
	color: #FFFFFF;
}
.minibl {

	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 10px;
	color: #000000;
}
/*----------------------MINI MINI WITH AND BLACK---------------------*/
.miniminibl {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 9px;
	color: #000000;
}
.miniminiwh {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 9px;
	color: #FFFFFF;
}
/*----------------------TITULO---------------------*/
.titulo {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 12pt;
	font-weight: bold;
	color: #000000;
}
.subtitulo {
	font-family: Verdana, Arial, Helvetica, sans-serif;
	font-size: 9pt;
	font-weight: bold;
	color: #000000;
}
.justificar {
	text-align: justify;
}
.derecha1 {
	text-align: justify;
	text-indent: 30pt;
	white-space: normal;
}

/*--------SCIENTIFIC------------*/
/*body .graphicCaption {
  font-style: normal;
  font-weight: 400
}
body .leadin math {
  color: rgb(255,0,0)
}
body .plotCaption {
  font-style: normal;
  font-weight: 400
}
body A {
  font-family: Arial;
  font-size: 100%;
  font-style: normal;
  font-weight: 400;
  color: rgb(128,0,128)
}
body A math {
  color: rgb(0,128,0)
}
body TABLE {
  padding-left: 0pt;
  padding-right: 0pt;
  padding-top: 0pt;
  padding-bottom: 0pt
}
body TD {
  padding-left: 0.5em;
  padding-right: 0.5em;
  padding-top: 0.5ex;
  padding-bottom: 0.5ex
} */
ul {
  list-style-type: disc
}
ul ul {
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}
ul ul ul {
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}
ul ul ul ul {
  list-style-type: disc
}
ol {
  list-style-type: decimal
}
ol ol {
  list-style-type: lower-alpha
}
ol ol ol {
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}
ol ol ol ol {
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}
/*p.error {
  font-size: 167%;
  font-weight: 700;
  color: rgb(255,0,0)
}
p {
  font-size: 100%
} 
p.Body-Math {
  font-size: 100%;
  color: rgb(64,64,64)
}  */
h1.part {
  font-size: 183%;
  color: rgb(9,62,125);
  margin-left: 0pt;
  margin-top: 0pt;
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}
h1.section {
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  color: rgb(9,62,125);
  margin-left: 0pt;
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}
h2.subsection {
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  color: rgb(9,62,125);
  margin-left: 0pt;
  margin-top: 0pt;
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}
h3.subsubsection {
  font-size: 117%;
  color: rgb(9,62,125);
  margin-left: 7pt;
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}
h4.paragraph {
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  font-weight: 700;
  color: rgb(9,62,125);
  margin-left: 7pt;
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}
h5.subparagraph {
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  color: rgb(9,62,125);
  margin-left: 7pt;
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}
em {
  font-style: italic;
  color: rgb(9,62,125)
}
em span.inlineMath {
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}
span.rm {
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}
span.rm span.inlineMath {
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}
span.bs {
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}
strong {
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}
span.it {
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}
span.it span.inlineMath {
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}
span.sl {
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}
span.sl span.inlineMath {
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}
span.sf {
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  font-weight: 400;
  color: rgb(9,62,125)
}
span.sf span.inlineMath {
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}
span.sc {
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}
span.sc span.inlineMath {
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}
span.tt {
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}
span.tt span.inlineMath {
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}
dl.description dd p {
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  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
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}
dl.description {
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}
dl.description dt.leadin {
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  font-weight: 700;
  color: rgb(9,62,125)
}
ol li p {
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  margin-top: 0pt;
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}
ol {
  font-size: 100%
}
ol .leadin {
  font-weight: 700;
  color: rgb(9,62,125)
}
ul li p {
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}
ul {
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}
ul .leadin {
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  color: rgb(9,62,125)
}
span.cal {
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  color: rgb(192,192,192)
}
span.tiny {
  font-size: 50%
}
span.scriptsize {
  font-size: 67%
}
span.footnotesize {
  font-size: 75%
}
span.small {
  font-size: 83%
}
span.normalsize {
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span.large1 {
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}
span.large2 {
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}
span.large3 {
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}
span.huge1 {
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}
span.huge2 {
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}
span.frak {
  font-family: eufm10;
  font-style: normal;
  color: rgb(192,192,192)
}
span.Bbb {
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  color: rgb(192,192,192)
}
ol.thebibliography li p {
  font-size: 100%;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
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}
ol.thebibliography {
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}
p.quotation {
/*  background-color: rgb(242,242,242);*/
  border: none;
/*  font-family: Verdana, Arial, Helvetica, sans-serif;*/
  font-size: 11px;
/*  color: rgb(9,62,125);*/
  margin-left: 40pt;
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  margin-bottom: 0pt;
  padding-left: 18pt;
  padding-top: 7pt;
  padding-right: 40pt;
  padding-bottom: 7pt;
  text-indent: 0pt
}
p.quote {
  font-size: 100%;
  text-align: left;
 /* color: rgb(9,62,125);*/
  margin-left: 40pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 40pt;
  padding-bottom: 0pt;
  text-indent: 18pt
}
p.center {
  font-size: 100%;
  text-align: center;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
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}
p.f-0 {
  font-size: 100%;
  margin-left: 0pt;
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}
div.f-0 {
  font-size: 100%
}
div.f-0 span.leadin {
  background-color: rgb(255,225,225);
  font-family: Arial;
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  padding-top: 0pt
}
p.f-0-FirstPara {
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}
p.f-1 {
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}
div.f-1 {
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}
div.f-1 span.leadin {
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}
p.f-1-FirstPara {
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}
p.f-2 {
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}
div.f-2 {
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}
div.f-2 span.leadin {
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}
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p.f-7 {
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}
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}
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  margin-left: 0pt;
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}
p.abstract {
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}
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}
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}
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}
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}
div.f-11 {
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}
div.f-11 span.leadin {
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}
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p.f-12 {
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}
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}
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}
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}
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p.proof {
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p.acknowledgement {
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p.algorithm {
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}
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}
p.axiom {
  font-size: 100%;
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  margin-left: 0pt;
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}
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}
p.case {
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}
p.case-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.claim {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.claim {
  font-size: 100%
}
div.claim span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.claim-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.conclusion {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.conclusion {
  font-size: 100%
}
div.conclusion span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.conclusion-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.condition {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.condition {
  font-size: 100%
}
div.condition span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.condition-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.conjecture {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.conjecture {
  font-size: 100%
}
div.conjecture span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.conjecture-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.corollary {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.corollary {
  font-size: 100%
}
div.corollary span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.corollary-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.criterion {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.criterion {
  font-size: 100%
}
div.criterion span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.criterion-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.definition {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.definition {
  font-size: 100%
}
div.definition span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.definition-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.example {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.example {
  font-size: 100%
}
div.example span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.example-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.exercise {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.exercise {
  font-size: 100%
}
div.exercise span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.exercise-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.lemma {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.lemma {
  font-size: 100%
}
div.lemma span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.lemma-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.notation {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.notation {
  font-size: 100%
}
div.notation span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.notation-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.problem {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.problem {
  font-size: 100%
}
div.problem span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.problem-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.proposition {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.proposition {
  font-size: 100%
}
div.proposition span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.proposition-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.remark {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.remark {
  font-size: 100%
}
div.remark span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.remark-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.solution {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.solution {
  font-size: 100%
}
div.solution span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.solution-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.summary {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.summary {
  font-size: 100%
}
div.summary span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.summary-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
p.theorem {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt
}
div.theorem {
  font-size: 100%
}
div.theorem span.leadin {
  font-weight: 700;
  padding-top: 0pt
}
p.theorem-FirstPara {
  font-size: 100%;
  font-style: italic;
  margin-left: 0pt;
  margin-top: 0pt;
  margin-right: 0pt;
  margin-bottom: 0pt;
  padding-left: 0pt;
  padding-top: 0pt;
  padding-right: 0pt;
  padding-bottom: 0pt;
  text-indent: 2pt
}
span.huge2 span.huge2 {
  font-size: 100%
}
span.huge2 span.large3 {
  font-size: 82%
}
span.huge2 span.large2 {
  font-size: 73%
}
span.huge2 span.footnotesize {
  font-size: 41%
}
span.huge2 span.huge1 {
  font-size: 91%
}
span.huge2 span.large1 {
  font-size: 64%
}
span.huge2 span.normalsize {
  font-size: 55%
}
span.huge2 span.scriptsize {
  font-size: 36%
}
span.huge2 span.small {
  font-size: 45%
}
span.huge2 span.tiny {
  font-size: 27%
}
span.large3 span.huge2 {
  font-size: 122%
}
span.large3 span.large3 {
  font-size: 100%
}
span.large3 span.large2 {
  font-size: 89%
}
span.large3 span.footnotesize {
  font-size: 50%
}
span.large3 span.huge1 {
  font-size: 111%
}
span.large3 span.large1 {
  font-size: 78%
}
span.large3 span.normalsize {
  font-size: 67%
}
span.large3 span.scriptsize {
  font-size: 44%
}
span.large3 span.small {
  font-size: 56%
}
span.large3 span.tiny {
  font-size: 33%
}
span.large2 span.huge2 {
  font-size: 138%
}
span.large2 span.large3 {
  font-size: 113%
}
span.large2 span.large2 {
  font-size: 100%
}
span.large2 span.footnotesize {
  font-size: 56%
}
span.large2 span.huge1 {
  font-size: 125%
}
span.large2 span.large1 {
  font-size: 88%
}
span.large2 span.normalsize {
  font-size: 75%
}
span.large2 span.scriptsize {
  font-size: 50%
}
span.large2 span.small {
  font-size: 63%
}
span.large2 span.tiny {
  font-size: 38%
}
p.error span.huge2 {
  font-size: 110%
}
p.error span.large3 {
  font-size: 90%
}
p.error span.large2 {
  font-size: 80%
}
p.error span.footnotesize {
  font-size: 45%
}
p.error span.huge1 {
  font-size: 100%
}
p.error span.large1 {
  font-size: 70%
}
p.error span.normalsize {
  font-size: 60%
}
p.error span.scriptsize {
  font-size: 40%
}
p.error span.small {
  font-size: 50%
}
p.error span.tiny {
  font-size: 30%
}
span.footnotesize span.huge2 {
  font-size: 244%
}
span.footnotesize span.large3 {
  font-size: 200%
}
span.footnotesize span.large2 {
  font-size: 178%
}
span.footnotesize span.footnotesize {
  font-size: 100%
}
span.footnotesize span.huge1 {
  font-size: 222%
}
span.footnotesize span.large1 {
  font-size: 156%
}
span.footnotesize span.normalsize {
  font-size: 133%
}
span.footnotesize span.scriptsize {
  font-size: 89%
}
span.footnotesize span.small {
  font-size: 111%
}
span.footnotesize span.tiny {
  font-size: 67%
}
span.huge1 span.huge2 {
  font-size: 110%
}
span.huge1 span.large3 {
  font-size: 90%
}
span.huge1 span.large2 {
  font-size: 80%
}
span.huge1 span.footnotesize {
  font-size: 45%
}
span.huge1 span.huge1 {
  font-size: 100%
}
span.huge1 span.large1 {
  font-size: 70%
}
span.huge1 span.normalsize {
  font-size: 60%
}
span.huge1 span.scriptsize {
  font-size: 40%
}
span.huge1 span.small {
  font-size: 50%
}
span.huge1 span.tiny {
  font-size: 30%
}
span.large1 span.huge2 {
  font-size: 157%
}
span.large1 span.large3 {
  font-size: 129%
}
span.large1 span.large2 {
  font-size: 114%
}
span.large1 span.footnotesize {
  font-size: 64%
}
span.large1 span.huge1 {
  font-size: 143%
}
span.large1 span.large1 {
  font-size: 100%
}
span.large1 span.normalsize {
  font-size: 86%
}
span.large1 span.scriptsize {
  font-size: 57%
}
span.large1 span.small {
  font-size: 71%
}
span.large1 span.tiny {
  font-size: 43%
}
h1.part span.huge2 {
  font-size: 100%
}
h1.part span.large3 {
  font-size: 82%
}
h1.part span.large2 {
  font-size: 73%
}
h1.part span.footnotesize {
  font-size: 41%
}
h1.part span.huge1 {
  font-size: 91%
}
h1.part span.large1 {
  font-size: 64%
}
h1.part span.normalsize {
  font-size: 55%
}
h1.part span.scriptsize {
  font-size: 36%
}
h1.part span.small {
  font-size: 45%
}
h1.part span.tiny {
  font-size: 27%
}
span.scriptsize span.huge2 {
  font-size: 275%
}
span.scriptsize span.large3 {
  font-size: 225%
}
span.scriptsize span.large2 {
  font-size: 200%
}
span.scriptsize span.footnotesize {
  font-size: 113%
}
span.scriptsize span.huge1 {
  font-size: 250%
}
span.scriptsize span.large1 {
  font-size: 175%
}
span.scriptsize span.normalsize {
  font-size: 150%
}
span.scriptsize span.scriptsize {
  font-size: 100%
}
span.scriptsize span.small {
  font-size: 125%
}
span.scriptsize span.tiny {
  font-size: 75%
}
h1.section span.huge2 {
  font-size: 122%
}
h1.section span.large3 {
  font-size: 100%
}
h1.section span.large2 {
  font-size: 89%
}
h1.section span.footnotesize {
  font-size: 50%
}
h1.section span.huge1 {
  font-size: 111%
}
h1.section span.large1 {
  font-size: 78%
}
h1.section span.normalsize {
  font-size: 67%
}
h1.section span.scriptsize {
  font-size: 44%
}
h1.section span.small {
  font-size: 56%
}
h1.section span.tiny {
  font-size: 33%
}
/* -------------  SWP ---------------------*/
span.leadin {float: left}
span.vspace {vertical-align: top}
span.rule {display: inline; background-color: black}
hr.pagebreak {color: green}
span.inline-math-graphics {
  white-space: nowrap;
  border-style:none
}
/*------------------fin swp ----------------*/
span.small span.huge2 {
  font-size: 220%
}
span.small span.large3 {
  font-size: 180%
}
span.small span.large2 {
  font-size: 160%
}
span.small span.footnotesize {
  font-size: 90%
}
span.small span.huge1 {
  font-size: 200%
}
span.small span.large1 {
  font-size: 140%
}
span.small span.normalsize {
  font-size: 120%
}
span.small span.scriptsize {
  font-size: 80%
}
span.small span.small {
  font-size: 100%
}
span.small span.tiny {
  font-size: 60%
}
h2.subsection span.huge2 {
  font-size: 138%
}
h2.subsection span.large3 {
  font-size: 113%
}
h2.subsection span.large2 {
  font-size: 100%
}
h2.subsection span.footnotesize {
  font-size: 56%
}
h2.subsection span.huge1 {
  font-size: 125%
}
h2.subsection span.large1 {
  font-size: 88%
}
h2.subsection span.normalsize {
  font-size: 75%
}
h2.subsection span.scriptsize {
  font-size: 50%
}
h2.subsection span.small {
  font-size: 63%
}
h2.subsection span.tiny {
  font-size: 38%
}
h3.subsubsection span.huge2 {
  font-size: 157%
}
h3.subsubsection span.large3 {
  font-size: 129%
}
h3.subsubsection span.large2 {
  font-size: 114%
}
h3.subsubsection span.footnotesize {
  font-size: 64%
}
h3.subsubsection span.huge1 {
  font-size: 143%
}
h3.subsubsection span.large1 {
  font-size: 100%
}
h3.subsubsection span.normalsize {
  font-size: 86%
}
h3.subsubsection span.scriptsize {
  font-size: 57%
}
h3.subsubsection span.small {
  font-size: 71%
}
h3.subsubsection span.tiny {
  font-size: 43%
}
span.tiny span.huge2 {
  font-size: 367%
}
span.tiny span.large3 {
  font-size: 300%
}
span.tiny span.large2 {
  font-size: 267%
}
span.tiny span.footnotesize {
  font-size: 150%
}
span.tiny span.huge1 {
  font-size: 333%
}
span.tiny span.large1 {
  font-size: 233%
}
span.tiny span.normalsize {
  font-size: 200%
}
span.tiny span.scriptsize {
  font-size: 133%
}
span.tiny span.small {
  font-size: 167%
}
span.tiny span.tiny {
  font-size: 100%
}
pre span.huge2 {
  font-size: 220%
}
pre span.large3 {
  font-size: 180%
}
pre span.large2 {
  font-size: 160%
}
pre p.error {
  font-size: 200%
}
pre span.footnotesize {
  font-size: 90%
}
pre span.huge1 {
  font-size: 200%
}
pre span.large1 {
  font-size: 140%
}
pre span.normalsize {
  font-size: 120%
}
pre h1.part {
  font-size: 220%
}
pre span.scriptsize {
  font-size: 80%
}
pre h1.section {
  font-size: 180%
}
pre span.small {
  font-size: 100%
}
pre h2.subsection {
  font-size: 160%
}
pre h3.subsubsection {
  font-size: 140%
}
pre span.tiny {
  font-size: 60%
}
pre pre {
  font-size: 100%
}
/*---------------------------------SWP---------------------------------*/
.displayed {text-align: center}
.displayed { display: block !
important}
.displayedmathml {margin-top: 5px; margin-bottom: 5px; font-style: normal; font-family: Times New Roman; font-size: 200%}
.inlinemathml {font-family: Times New Roman; font-style: normal; font-size: 200%}
.inlineTable {display: inline}

