.MJX_Assistive_MathML {
    position: absolute !important;
    top: 0;
    left: 0;
    clip: rect(1px, 1px, 1px, 1px);
    padding: 1px 0 0 0 !important;
    border: 0 !important;
    height: 1px !important;
    width: 1px !important;
    overflow: hidden !important;
    display: block !important;
    -webkit-touch-callout: none;
    -webkit-user-select: none;
    -khtml-user-select: none;
    -moz-user-select: none;
    -ms-user-select: none;
    user-select: none
}

.MJX_Assistive_MathML.MJX_Assistive_MathML_Block {
    width: 100% !important
}

.mjx-chtml {
    display: inline-block;
    line-height: 0;
    text-indent: 0;
    text-align: left;
    text-transform: none;
    font-style: normal;
    font-weight: normal;
    font-size: 1.19em;
    font-size-adjust: none;
    letter-spacing: normal;
    word-wrap: normal;
    word-spacing: normal;
    white-space: nowrap;
    float: none;
    direction: ltr;
    max-width: none;
    max-height: none;
    min-width: 0;
    min-height: 0;
    border: 0;
    margin: 0;
    padding: 1px 0
}

.MJXc-display {
    display: block;
    text-align: center;
    margin: 1em 0;
    padding: 0;
    font-size: 1em !important;
}

.mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex] {
    display: inline-table
}

.mjx-full-width {
    text-align: center;
    display: table-cell !important;
    width: 10000em
}

.mjx-math {
    display: inline-block;
    border-collapse: separate;
    border-spacing: 0
}

.mjx-math * {
    display: inline-block;
    -webkit-box-sizing: content-box !important;
    -moz-box-sizing: content-box !important;
    box-sizing: content-box !important;
    text-align: left
}

.mjx-numerator {
    display: block;
    text-align: center
}

.mjx-denominator {
    display: block;
    text-align: center
}

.MJXc-stacked {
    height: 0;
    position: relative
}

.MJXc-stacked > * {
    position: absolute
}

.MJXc-bevelled > * {
    display: inline-block
}

.mjx-stack {
    display: inline-block
}

.mjx-op {
    display: block
}

.mjx-under {
    display: table-cell
}

.mjx-over {
    display: block
}

.mjx-over > * {
    padding-left: 0px !important;
    padding-right: 0px !important
}

.mjx-under > * {
    padding-left: 0px !important;
    padding-right: 0px !important
}

.mjx-stack > .mjx-sup {
    display: block
}

.mjx-stack > .mjx-sub {
    display: block
}

.mjx-prestack > .mjx-presup {
    display: block
}

.mjx-prestack > .mjx-presub {
    display: block
}

.mjx-delim-h > .mjx-char {
    display: inline-block
}

.mjx-surd {
    vertical-align: top
}

.mjx-mphantom * {
    visibility: hidden
}

.mjx-merror {
    background-color: #FFFF88;
    color: #CC0000;
    border: 1px solid #CC0000;
    padding: 2px 3px;
    font-style: normal;
    font-size: 90%
}

.mjx-annotation-xml {
    line-height: normal
}

.mjx-menclose > svg {
    fill: none;
    stroke: currentColor
}

.mjx-mtr {
    display: table-row
}

.mjx-mlabeledtr {
    display: table-row
}

.mjx-mtd {
    display: table-cell;
    text-align: center
}

.mjx-label {
    display: table-row
}

.mjx-box {
    display: inline-block
}

.mjx-block {
    display: block
}

.mjx-span {
    display: inline
}

.mjx-char {
    display: block;
    white-space: pre
}

.mjx-itable {
    display: inline-table;
    width: auto
}

.mjx-row {
    display: table-row
}

.mjx-cell {
    display: table-cell
}

.mjx-table {
    display: table;
    width: 100%
}

.mjx-line {
    display: block;
    height: 0
}

.mjx-strut {
    width: 0;
    padding-top: 1em
}

.mjx-vsize {
    width: 0
}

.MJXc-space1 {
    margin-left: .167em
}

.MJXc-space2 {
    margin-left: .222em
}

.MJXc-space3 {
    margin-left: .278em
}

.mjx-chartest {
    display: block;
    visibility: hidden;
    position: absolute;
    top: 0;
    line-height: normal;
    font-size: 500%
}

.mjx-chartest .mjx-char {
    display: inline
}

.mjx-chartest .mjx-box {
    padding-top: 1000px
}

.MJXc-processing {
    visibility: hidden;
    position: fixed;
    width: 0;
    height: 0;
    overflow: hidden
}

.MJXc-processed {
    display: none
}

.mjx-test {
    display: block;
    font-style: normal;
    font-weight: normal;
    font-size: 100%;
    font-size-adjust: none;
    text-indent: 0;
    text-transform: none;
    letter-spacing: normal;
    word-spacing: normal;
    overflow: hidden;
    height: 1px
}

.mjx-ex-box-test {
    position: absolute;
    width: 1px;
    height: 60ex
}

.mjx-line-box-test {
    display: table !important
}

.mjx-line-box-test span {
    display: table-cell !important;
    width: 10000em !important;
    min-width: 0;
    max-width: none;
    padding: 0;
    border: 0;
    margin: 0
}

#MathJax_CHTML_Tooltip {
    background-color: InfoBackground;
    color: InfoText;
    border: 1px solid black;
    box-shadow: 2px 2px 5px #AAAAAA;
    -webkit-box-shadow: 2px 2px 5px #AAAAAA;
    -moz-box-shadow: 2px 2px 5px #AAAAAA;
    -khtml-box-shadow: 2px 2px 5px #AAAAAA;
    padding: 3px 4px;
    z-index: 401;
    position: absolute;
    left: 0;
    top: 0;
    width: auto;
    height: auto;
    display: none
}

.mjx-chtml .mjx-noError {
    line-height: 1.2;
    /*vertical-align: ;*/
    font-size: 90%;
    text-align: left;
    color: black;
    padding: 1px 3px;
    border: 1px solid
}

.MJXc-TeX-unknown-R {
    font-family: STIXGeneral, 'Cambria Math', 'Arial Unicode MS', serif;
    font-style: normal;
    font-weight: normal
}

.MJXc-TeX-unknown-I {
    font-family: STIXGeneral, 'Cambria Math', 'Arial Unicode MS', serif;
    font-style: italic;
    font-weight: normal
}

.MJXc-TeX-unknown-B {
    font-family: STIXGeneral, 'Cambria Math', 'Arial Unicode MS', serif;
    font-style: normal;
    font-weight: bold
}

.MJXc-TeX-unknown-BI {
    font-family: STIXGeneral, 'Cambria Math', 'Arial Unicode MS', serif;
    font-style: italic;
    font-weight: bold
}

.MJXc-TeX-ams-R {
    font-family: MJXc-TeX-ams-R, MJXc-TeX-ams-Rw
}

.MJXc-TeX-cal-B {
    font-family: MJXc-TeX-cal-B, MJXc-TeX-cal-Bx, MJXc-TeX-cal-Bw
}

.MJXc-TeX-frak-R {
    font-family: MJXc-TeX-frak-R, MJXc-TeX-frak-Rw
}

.MJXc-TeX-frak-B {
    font-family: MJXc-TeX-frak-B, MJXc-TeX-frak-Bx, MJXc-TeX-frak-Bw
}

.MJXc-TeX-math-BI {
    font-family: MJXc-TeX-math-BI, MJXc-TeX-math-BIx, MJXc-TeX-math-BIw
}

.MJXc-TeX-sans-R {
    font-family: MJXc-TeX-sans-R, MJXc-TeX-sans-Rw
}

.MJXc-TeX-sans-B {
    font-family: MJXc-TeX-sans-B, MJXc-TeX-sans-Bx, MJXc-TeX-sans-Bw
}

.MJXc-TeX-sans-I {
    font-family: MJXc-TeX-sans-I, MJXc-TeX-sans-Ix, MJXc-TeX-sans-Iw
}

.MJXc-TeX-script-R {
    font-family: MJXc-TeX-script-R, MJXc-TeX-script-Rw
}

.MJXc-TeX-type-R {
    font-family: MJXc-TeX-type-R, MJXc-TeX-type-Rw
}

.MJXc-TeX-cal-R {
    font-family: MJXc-TeX-cal-R, MJXc-TeX-cal-Rw
}

.MJXc-TeX-main-B {
    font-family: MJXc-TeX-main-B, MJXc-TeX-main-Bx, MJXc-TeX-main-Bw
}

.MJXc-TeX-main-I {
    font-family: MJXc-TeX-main-I, MJXc-TeX-main-Ix, MJXc-TeX-main-Iw
}

.MJXc-TeX-main-R {
    font-family: MJXc-TeX-main-R, MJXc-TeX-main-Rw
}

.MJXc-TeX-math-I {
    font-family: MJXc-TeX-math-I, MJXc-TeX-math-Ix, MJXc-TeX-math-Iw
}

.MJXc-TeX-size1-R {
    font-family: MJXc-TeX-size1-R, MJXc-TeX-size1-Rw
}

.MJXc-TeX-size2-R {
    font-family: MJXc-TeX-size2-R, MJXc-TeX-size2-Rw
}

.MJXc-TeX-size3-R {
    font-family: MJXc-TeX-size3-R, MJXc-TeX-size3-Rw
}

.MJXc-TeX-size4-R {
    font-family: MJXc-TeX-size4-R, MJXc-TeX-size4-Rw
}

@font-face {
    font-family: MJXc-TeX-ams-R;
    src: local('MathJax_AMS'), local('MathJax_AMS-Regular')
}

@font-face {
    font-family: MJXc-TeX-ams-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_AMS-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_AMS-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_AMS-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-cal-B;
    src: local('MathJax_Caligraphic Bold'), local('MathJax_Caligraphic-Bold')
}

@font-face {
    font-family: MJXc-TeX-cal-Bx;
    src: local('MathJax_Caligraphic');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-cal-Bw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Bold.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Caligraphic-Bold.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Caligraphic-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-frak-R;
    src: local('MathJax_Fraktur'), local('MathJax_Fraktur-Regular')
}

@font-face {
    font-family: MJXc-TeX-frak-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Fraktur-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Fraktur-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-frak-B;
    src: local('MathJax_Fraktur Bold'), local('MathJax_Fraktur-Bold')
}

@font-face {
    font-family: MJXc-TeX-frak-Bx;
    src: local('MathJax_Fraktur');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-frak-Bw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Fraktur-Bold.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Fraktur-Bold.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Fraktur-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-math-BI;
    src: local('MathJax_Math BoldItalic'), local('MathJax_Math-BoldItalic')
}

@font-face {
    font-family: MJXc-TeX-math-BIx;
    src: local('MathJax_Math');
    font-weight: bold;
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-math-BIw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Math-BoldItalic.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Math-BoldItalic.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Math-BoldItalic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-sans-R;
    src: local('MathJax_SansSerif'), local('MathJax_SansSerif-Regular')
}

@font-face {
    font-family: MJXc-TeX-sans-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_SansSerif-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_SansSerif-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_SansSerif-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-sans-B;
    src: local('MathJax_SansSerif Bold'), local('MathJax_SansSerif-Bold')
}

@font-face {
    font-family: MJXc-TeX-sans-Bx;
    src: local('MathJax_SansSerif');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-sans-Bw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_SansSerif-Bold.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_SansSerif-Bold.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_SansSerif-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-sans-I;
    src: local('MathJax_SansSerif Italic'), local('MathJax_SansSerif-Italic')
}

@font-face {
    font-family: MJXc-TeX-sans-Ix;
    src: local('MathJax_SansSerif');
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-sans-Iw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_SansSerif-Italic.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_SansSerif-Italic.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_SansSerif-Italic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-script-R;
    src: local('MathJax_Script'), local('MathJax_Script-Regular')
}

@font-face {
    font-family: MJXc-TeX-script-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Script-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Script-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Script-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-type-R;
    src: local('MathJax_Typewriter'), local('MathJax_Typewriter-Regular')
}

@font-face {
    font-family: MJXc-TeX-type-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Typewriter-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Typewriter-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Typewriter-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-cal-R;
    src: local('MathJax_Caligraphic'), local('MathJax_Caligraphic-Regular')
}

@font-face {
    font-family: MJXc-TeX-cal-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Caligraphic-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Caligraphic-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Caligraphic-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-main-B;
    src: local('MathJax_Main Bold'), local('MathJax_Main-Bold')
}

@font-face {
    font-family: MJXc-TeX-main-Bx;
    src: local('MathJax_Main');
    font-weight: bold
}

@font-face {
    font-family: MJXc-TeX-main-Bw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Main-Bold.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Main-Bold.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Main-Bold.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-main-I;
    src: local('MathJax_Main Italic'), local('MathJax_Main-Italic')
}

@font-face {
    font-family: MJXc-TeX-main-Ix;
    src: local('MathJax_Main');
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-main-Iw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Main-Italic.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Main-Italic.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Main-Italic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-main-R;
    src: local('MathJax_Main'), local('MathJax_Main-Regular')
}

@font-face {
    font-family: MJXc-TeX-main-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Main-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Main-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Main-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-math-I;
    src: local('MathJax_Math Italic'), local('MathJax_Math-Italic')
}

@font-face {
    font-family: MJXc-TeX-math-Ix;
    src: local('MathJax_Math');
    font-style: italic
}

@font-face {
    font-family: MJXc-TeX-math-Iw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Math-Italic.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Math-Italic.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Math-Italic.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size1-R;
    src: local('MathJax_Size1'), local('MathJax_Size1-Regular')
}

@font-face {
    font-family: MJXc-TeX-size1-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Size1-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Size1-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Size1-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size2-R;
    src: local('MathJax_Size2'), local('MathJax_Size2-Regular')
}

@font-face {
    font-family: MJXc-TeX-size2-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Size2-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Size2-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Size2-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size3-R;
    src: local('MathJax_Size3'), local('MathJax_Size3-Regular')
}

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    font-family: MJXc-TeX-size3-Rw;
    src /*1*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/eot/MathJax_Size3-Regular.eot');
    src /*2*/: url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/woff/MathJax_Size3-Regular.woff') format('woff'), url('https://cdn.staticfile.org/mathjax/2.7.0/fonts/HTML-CSS/TeX/otf/MathJax_Size3-Regular.otf') format('opentype')
}

@font-face {
    font-family: MJXc-TeX-size4-R;
    src: local('MathJax_Size4'), local('MathJax_Size4-Regular')
}

@font-face {
    font-family: MJXc-TeX-size4-Rw;
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}