/* start css.sty */
.cmr-10x-x-109 {
}
.cmbx-10x-x-109 {
  font-weight: bold;
}
.cmbsy-10x-x-109 {
  font-weight: bold;
}
.cmbsy-10x-x-109 {
  font-weight: bold;
}
.cmbsy-10x-x-109 {
  font-weight: bold;
}
.cmbsy-8 {
  font-size: 72%;
  font-weight: bold;
}
.cmbsy-8 {
  font-weight: bold;
}
.cmbsy-8 {
  font-weight: bold;
}
.cmbsy-6 {
  font-size: 54%;
  font-weight: bold;
}
.cmbsy-6 {
  font-weight: bold;
}
.cmbsy-6 {
  font-weight: bold;
}
.cmex-10x-x-109 {
}
.cmex-8 {
  font-size: 72%;
}
.cmex-7x-x-85 {
  font-size: 54%;
}
.msam-10x-x-109 {
}
.msam-10x-x-80 {
  font-size: 72%;
}
.msam-7x-x-85 {
  font-size: 54%;
}
.msbm-10x-x-109 {
}
.msbm-10x-x-80 {
  font-size: 72%;
}
.msbm-7x-x-85 {
  font-size: 54%;
}
.cmr-8 {
  font-size: 72%;
}
.cmr-6 {
  font-size: 54%;
}
.cmmi-10x-x-109 {
  font-style: italic;
}
.cmmi-8 {
  font-size: 72%;
  font-style: italic;
}
.cmmi-6 {
  font-size: 54%;
  font-style: italic;
}
.cmsy-10x-x-109 {
}
.cmsy-8 {
  font-size: 72%;
}
.cmsy-6 {
  font-size: 54%;
}
.cmr-17 {
  font-size: 154%;
}
.cmtt-10x-x-109 {
  font-family: monospace, monospace;
}
.cmti-10x-x-109 {
  font-style: italic;
}
p {
  margin-top: 0;
  margin-bottom: 0;
}
p.indent {
  text-indent: 0;
}
p + p {
  margin-top: 1em;
}
p + div,
p + pre {
  margin-top: 1em;
}
div + p,
pre + p {
  margin-top: 1em;
}
a {
  overflow-wrap: break-word;
  word-wrap: break-word;
  word-break: break-word;
  hyphens: auto;
}
@media print {
  div.crosslinks {
    visibility: hidden;
  }
}
a img {
  border-top: 0;
  border-left: 0;
  border-right: 0;
}
center {
  margin-top: 1em;
  margin-bottom: 1em;
}
td center {
  margin-top: 0em;
  margin-bottom: 0em;
}
.Canvas {
  position: relative;
}
math {
  text-indent: 0em;
}
li p.indent {
  text-indent: 0em;
}
li p:first-child {
  margin-top: 0em;
}
li p:last-child,
li div:last-child {
  margin-bottom: 0.5em;
}
li p ~ ul:last-child,
li p ~ ol:last-child {
  margin-bottom: 0.5em;
}
.enumerate1 {
  list-style-type: decimal;
}
.enumerate2 {
  list-style-type: lower-alpha;
}
.enumerate3 {
  list-style-type: lower-roman;
}
.enumerate4 {
  list-style-type: upper-alpha;
}
div.newtheorem {
  margin-bottom: 2em;
  margin-top: 2em;
}
.obeylines-h,
.obeylines-v {
  white-space: nowrap;
}
div.obeylines-v p {
  margin-top: 0;
  margin-bottom: 0;
}
.overline {
  text-decoration: overline;
}
.overline img {
  border-top: 1px solid black;
}
td.displaylines {
  text-align: center;
  white-space: nowrap;
}
.centerline {
  text-align: center;
}
.rightline {
  text-align: right;
}
pre.verbatim {
  font-family: monospace, monospace;
  text-align: left;
  clear: both;
}
.fbox {
  padding-left: 3pt;
  padding-right: 3pt;
  text-indent: 0pt;
  border: solid black 0.4pt;
}
div.fbox {
  display: table;
}
div.center div.fbox {
  text-align: center;
  clear: both;
  padding-left: 3pt;
  padding-right: 3pt;
  text-indent: 0pt;
  border: solid black 0.4pt;
}
div.minipage {
  width: 100%;
}
div.center,
div.center div.center {
  text-align: center;
  margin-left: 1em;
  margin-right: 1em;
}
div.center div {
  text-align: left;
}
div.flushright,
div.flushright div.flushright {
  text-align: right;
}
div.flushright div {
  text-align: left;
}
div.flushleft {
  text-align: left;
}
.underline {
  text-decoration: underline;
}
.underline img {
  border-bottom: 1px solid black;
  margin-bottom: 1pt;
}
.framebox-c,
.framebox-l,
.framebox-r {
  padding-left: 3pt;
  padding-right: 3pt;
  text-indent: 0pt;
  border: solid black 0.4pt;
}
.framebox-c {
  text-align: center;
}
.framebox-l {
  text-align: left;
}
.framebox-r {
  text-align: right;
}
span.thank-mark {
  vertical-align: super;
}
span.footnote-mark sup.textsuperscript,
span.footnote-mark a sup.textsuperscript {
  font-size: 80%;
}
div.tabular,
div.center div.tabular {
  text-align: center;
  margin-top: 0.5em;
  margin-bottom: 0.5em;
}
table.tabular td p {
  margin-top: 0em;
}
table.tabular {
  margin-left: auto;
  margin-right: auto;
}
td p:first-child {
  margin-top: 0em;
}
td p:last-child {
  margin-bottom: 0em;
}
div.td00 {
  margin-left: 0pt;
  margin-right: 0pt;
}
div.td01 {
  margin-left: 0pt;
  margin-right: 5pt;
}
div.td10 {
  margin-left: 5pt;
  margin-right: 0pt;
}
div.td11 {
  margin-left: 5pt;
  margin-right: 5pt;
}
table[rules] {
  border-left: solid black 0.4pt;
  border-right: solid black 0.4pt;
}
td.td00 {
  padding-left: 0pt;
  padding-right: 0pt;
}
td.td01 {
  padding-left: 0pt;
  padding-right: 5pt;
}
td.td10 {
  padding-left: 5pt;
  padding-right: 0pt;
}
td.td11 {
  padding-left: 5pt;
  padding-right: 5pt;
}
table[rules] {
  border-left: solid black 0.4pt;
  border-right: solid black 0.4pt;
}
.hline hr,
.cline hr {
  height: 0px;
  margin: 0px;
}
.hline td,
.cline td {
  padding: 0;
}
.hline hr,
.cline hr {
  border: none;
  border-top: 1px solid black;
}
.tabbing-right {
  text-align: right;
}
div.float,
div.figure {
  margin-left: auto;
  margin-right: auto;
}
div.float img {
  text-align: center;
}
div.figure img {
  text-align: center;
}
.marginpar,
.reversemarginpar {
  width: 20%;
  float: right;
  text-align: left;
  margin-left: auto;
  margin-top: 0.5em;
  font-size: 85%;
  text-decoration: underline;
}
.marginpar p,
.reversemarginpar p {
  margin-top: 0.4em;
  margin-bottom: 0.4em;
}
.reversemarginpar {
  float: left;
}
.equation td {
  text-align: center;
  vertical-align: middle;
}
td.eq-no {
  width: 5%;
}
table.equation {
  width: 100%;
}
div.math-display,
div.par-math-display {
  text-align: center;
}
mtr.hline mtd {
  border-bottom: black solid 1px;
  padding-top: 2px;
  padding-bottom: 0em;
}
mtr.hline mtd mo {
  display: none;
}
math .texttt {
  font-family: monospace;
}
math .textit {
  font-style: italic;
}
math .textsl {
  font-style: oblique;
}
math .textsf {
  font-family: sans-serif;
}
math .textbf {
  font-weight: bold;
}
table.tabular {
  border-collapse: collapse;
  border-spacing: 0;
}
mo.MathClass-op + mi {
  margin-left: 0.3em;
}
mi + mo.MathClass-op {
  margin-left: 0.3em;
}
math mstyle[mathvariant="bold"] {
  font-weight: bold;
  font-style: normal;
}
math mstyle[mathvariant="normal"] {
  font-weight: normal;
  font-style: normal;
}
.partToc a,
.partToc,
.likepartToc a,
.likepartToc {
  line-height: 200%;
  font-weight: bold;
  font-size: 110%;
}
.index-item,
.index-subitem,
.index-subsubitem {
  display: block;
}
div.caption {
  text-indent: -2em;
  margin-left: 3em;
  margin-right: 1em;
  text-align: left;
}
div.caption span.id {
  font-weight: bold;
  white-space: nowrap;
}
h1.partHead {
  text-align: center;
}
p.bibitem {
  text-indent: -2em;
  margin-left: 2em;
  margin-top: 0.6em;
  margin-bottom: 0.6em;
}
p.bibitem-p {
  text-indent: 0em;
  margin-left: 2em;
  margin-top: 0.6em;
  margin-bottom: 0.6em;
}
.paragraphHead,
.likeparagraphHead {
  margin-top: 2em;
  font-weight: bold;
}
.subparagraphHead,
.likesubparagraphHead {
  font-weight: bold;
}
.quote {
  margin-bottom: 0.25em;
  margin-top: 0.25em;
  margin-left: 1em;
  margin-right: 1em;
  text-align: justify;
}
.verse {
  white-space: nowrap;
  margin-left: 2em;
}
div.maketitle {
  text-align: center;
}
h2.titleHead {
  text-align: center;
}
div.maketitle {
  margin-bottom: 2em;
}
div.author,
div.date {
  text-align: center;
}
div.thanks {
  text-align: left;
  margin-left: 10%;
  font-size: 85%;
  font-style: italic;
}
div.author {
  white-space: nowrap;
}
.quotation {
  margin-bottom: 0.25em;
  margin-top: 0.25em;
  margin-left: 1em;
}
.abstract p {
  margin-left: 5%;
  margin-right: 5%;
}
div.abstract {
  width: 100%;
}
figure.float,
div.figure {
  margin-left: auto;
  margin-right: auto;
}
figure.float img,
figure.figure img {
  display: block;
  margin-left: auto;
  margin-right: auto;
}
figure.figure > p {
  text-align: center;
}
figcaption.caption {
  text-indent: -2em;
  margin-left: 3em;
  margin-right: 1em;
  text-align: center;
}
figcaption.caption span.id {
  font-weight: bold;
  white-space: nowrap;
}
.equation-star td {
  text-align: center;
  vertical-align: middle;
}
table.equation-star {
  width: 100%;
}
mtd.align-odd {
  margin-left: 2em;
  text-align: right;
}
mtd.align-even {
  margin-right: 2em;
  text-align: left;
}
.boxed {
  border: 1px solid black;
  padding-left: 2px;
  padding-right: 2px;
}
.rotatebox {
  display: inline-block;
}
div.tabular,
div.center div.tabular {
  text-align: center;
  margin-top: 0.5em;
  margin-bottom: 0.5em;
}
table.tabular td p {
  margin-top: 0em;
}
table.tabular {
  margin-left: auto;
  margin-right: auto;
}
td p:first-child {
  margin-top: 0em;
}
td p:last-child {
  margin-bottom: 0em;
}
div.td00 {
  margin-left: 0pt;
  margin-right: 0pt;
}
div.td01 {
  margin-left: 0pt;
  margin-right: 5pt;
}
div.td10 {
  margin-left: 5pt;
  margin-right: 0pt;
}
div.td11 {
  margin-left: 5pt;
  margin-right: 5pt;
}
table[rules] {
  border-left: solid black 0.4pt;
  border-right: solid black 0.4pt;
}
td.td00 {
  padding-left: 0pt;
  padding-right: 0pt;
}
td.td01 {
  padding-left: 0pt;
  padding-right: 5pt;
}
td.td10 {
  padding-left: 5pt;
  padding-right: 0pt;
}
td.td11 {
  padding-left: 5pt;
  padding-right: 5pt;
}
table[rules] {
  border-left: solid black 0.4pt;
  border-right: solid black 0.4pt;
}
.hline hr,
.cline hr {
  height: 0px;
  margin: 0px;
}
.hline td,
.cline td {
  padding: 0;
}
.hline hr,
.cline hr {
  border: none;
  border-top: 1px solid black;
}
.MathJax_MathML {
  text-indent: 0;
}
body {
  font-family: "open sans", "Helvetica Neue", Helvetica, Arial, sans-serif;
  font-size: 18px;
  line-height: 1.5;
  max-width: 50em;
  margin: auto;
  text-align: justify;
}
/*.titleHead, .sectionHead, .subsectionHead, .textsf { font-family: Myriad Pro, Helvetica, Arial, sans-serif; }*/
/*.titleHead, .sectionHead, .subsectionHead { color: FireBrick; }*/
/*.texttt, .verb, .pre { font-family: Inconsolata, Consolas, Courier, monospace; }*/
.titleHead {
  font-size: 32px;
}
.sectionHead {
  font-size: 28px;
}
.subsectionHead {
  font-size: 24px;
}
.subsubsectionHead {
  font-size: 20px;
}
.paragraphHead {
  display: block;
}
.titlemark {
  display: inline-block;
  width: 2em;
}
.figure img {
  display: block;
  margin: auto;
}
/* end css.sty */