.MathJax_Hover_Frame {
    border-radius: .25em;
    -webkit-border-radius: .25em;
    -moz-border-radius: .25em;
    -khtml-border-radius: .25em;
    box-shadow: 0px 0px 15px #83A;
    -webkit-box-shadow: 0px 0px 15px #83A;
    -moz-box-shadow: 0px 0px 15px #83A;
    -khtml-box-shadow: 0px 0px 15px #83A;
    border: 1px solid #A6D ! important;
    display: inline-block;
    position: absolute
}
.MathJax_Menu_Button .MathJax_Hover_Arrow {
    position: absolute;
    cursor: pointer;
    display: inline-block;
    border: 2px solid #AAA;
    border-radius: 4px;
    -webkit-border-radius: 4px;
    -moz-border-radius: 4px;
    -khtml-border-radius: 4px;
    font-family: 'Courier New',Courier;
    font-size: 9px;
    color: #F0F0F0
}
.MathJax_Menu_Button .MathJax_Hover_Arrow span {
    display: block;
    background-color: #AAA;
    border: 1px solid;
    border-radius: 3px;
    line-height: 0;
    padding: 4px
}
.MathJax_Hover_Arrow:hover {
    color: white!important;
    border: 2px solid #CCC!important
}
.MathJax_Hover_Arrow:hover span {
    background-color: #CCC!important
}


#MathJax_About {
    position: fixed;
    left: 50%;
    width: auto;
    text-align: center;
    border: 3px outset;
    padding: 1em 2em;
    background-color: #DDDDDD;
    color: black;
    cursor: default;
    font-family: message-box;
    font-size: 120%;
    font-style: normal;
    text-indent: 0;
    text-transform: none;
    line-height: normal;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    z-index: 201;
    border-radius: 15px;
    -webkit-border-radius: 15px;
    -moz-border-radius: 15px;
    -khtml-border-radius: 15px;
    box-shadow: 0px 10px 20px #808080;
    -webkit-box-shadow: 0px 10px 20px #808080;
    -moz-box-shadow: 0px 10px 20px #808080;
    -khtml-box-shadow: 0px 10px 20px #808080
}
#MathJax_About.MathJax_MousePost {
    outline: none
}
.MathJax_Menu {
    position: absolute;
    background-color: white;
    color: black;
    width: auto;
    padding: 2px;
    border: 1px solid #CCCCCC;
    margin: 0;
    cursor: default;
    font: menu;
    text-align: left;
    text-indent: 0;
    text-transform: none;
    line-height: normal;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    z-index: 201;
    box-shadow: 0px 10px 20px #808080;
    -webkit-box-shadow: 0px 10px 20px #808080;
    -moz-box-shadow: 0px 10px 20px #808080;
    -khtml-box-shadow: 0px 10px 20px #808080
}
.MathJax_MenuItem {
    padding: 2px 2em;
    background: transparent
}
.MathJax_MenuArrow {
    position: absolute;
    right: .5em;
    padding-top: .25em;
    color: #666666;
    font-family: 'Arial unicode MS';
    font-size: .75em
}
.MathJax_MenuActive .MathJax_MenuArrow {
    color: white
}
.MathJax_MenuArrow.RTL {
    left: .5em;
    right: auto
}
.MathJax_MenuCheck {
    position: absolute;
    left: .7em;
    font-family: 'Arial unicode MS'
}
.MathJax_MenuCheck.RTL {
    right: .7em;
    left: auto
}
.MathJax_MenuRadioCheck {
    position: absolute;
    left: 1em
}
.MathJax_MenuRadioCheck.RTL {
    right: 1em;
    left: auto
}
.MathJax_MenuLabel {
    padding: 2px 2em 4px 1.33em;
    font-style: italic
}
.MathJax_MenuRule {
    border-top: 1px solid #CCCCCC;
    margin: 4px 1px 0px
}
.MathJax_MenuDisabled {
    color: GrayText
}
.MathJax_MenuActive {
    background-color: Highlight;
    color: HighlightText
}
.MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus {
    background-color: #E8E8E8
}
.MathJax_ContextMenu:focus {
    outline: none
}
.MathJax_ContextMenu .MathJax_MenuItem:focus {
    outline: none
}
#MathJax_AboutClose {
    top: .2em;
    right: .2em
}
.MathJax_Menu .MathJax_MenuClose {
    top: -10px;
    left: -10px
}
.MathJax_MenuClose {
    position: absolute;
    cursor: pointer;
    display: inline-block;
    border: 2px solid #AAA;
    border-radius: 18px;
    -webkit-border-radius: 18px;
    -moz-border-radius: 18px;
    -khtml-border-radius: 18px;
    font-family: 'Courier New',Courier;
    font-size: 24px;
    color: #F0F0F0
}
.MathJax_MenuClose span {
    display: block;
    background-color: #AAA;
    border: 1.5px solid;
    border-radius: 18px;
    -webkit-border-radius: 18px;
    -moz-border-radius: 18px;
    -khtml-border-radius: 18px;
    line-height: 0;
    padding: 8px 0 6px
}
.MathJax_MenuClose:hover {
    color: white!important;
    border: 2px solid #CCC!important
}
.MathJax_MenuClose:hover span {
    background-color: #CCC!important
}
.MathJax_MenuClose:hover:focus {
    outline: none
}



.MathJax_Preview .MJXf-math {
    color: inherit!important
}

.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
}

#MathJax_Zoom {
    position: absolute;
    background-color: #F0F0F0;
    overflow: auto;
    display: block;
    z-index: 301;
    padding: .5em;
    border: 1px solid black;
    margin: 0;
    font-weight: normal;
    font-style: normal;
    text-align: left;
    text-indent: 0;
    text-transform: none;
    line-height: normal;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    -webkit-box-sizing: content-box;
    -moz-box-sizing: content-box;
    box-sizing: content-box;
    box-shadow: 5px 5px 15px #AAAAAA;
    -webkit-box-shadow: 5px 5px 15px #AAAAAA;
    -moz-box-shadow: 5px 5px 15px #AAAAAA;
    -khtml-box-shadow: 5px 5px 15px #AAAAAA
}
#MathJax_ZoomOverlay {
    position: absolute;
    left: 0;
    top: 0;
    z-index: 300;
    display: inline-block;
    width: 100%;
    height: 100%;
    border: 0;
    padding: 0;
    margin: 0;
    background-color: white;
    opacity: 0;
    filter: alpha(opacity=0)
}
#MathJax_ZoomFrame {
    position: relative;
    display: inline-block;
    height: 0;
    width: 0
}
#MathJax_ZoomEventTrap {
    position: absolute;
    left: 0;
    top: 0;
    z-index: 302;
    display: inline-block;
    border: 0;
    padding: 0;
    margin: 0;
    background-color: white;
    opacity: 0;
    filter: alpha(opacity=0)
}

.MathJax_Preview {
    color: #888
}
#MathJax_Message {
    position: fixed;
    left: 1px;
    bottom: 2px;
    background-color: #E6E6E6;
    border: 1px solid #959595;
    margin: 0px;
    padding: 2px 8px;
    z-index: 102;
    color: black;
    font-size: 80%;
    width: auto;
    white-space: nowrap
}
#MathJax_MSIE_Frame {
    position: absolute;
    top: 0;
    left: 0;
    width: 0px;
    z-index: 101;
    border: 0px;
    margin: 0px;
    padding: 0px
}
.MathJax_Error {
    color: #CC0000;
    font-style: italic
}

.MJXp-script {
    font-size: .8em
}
.MJXp-right {
    -webkit-transform-origin: right;
    -moz-transform-origin: right;
    -ms-transform-origin: right;
    -o-transform-origin: right;
    transform-origin: right
}
.MJXp-bold {
    font-weight: bold
}
.MJXp-italic {
    font-style: italic
}
.MJXp-scr {
    font-family: MathJax_Script,'Times New Roman',Times,STIXGeneral,serif
}
.MJXp-frak {
    font-family: MathJax_Fraktur,'Times New Roman',Times,STIXGeneral,serif
}
.MJXp-sf {
    font-family: MathJax_SansSerif,'Times New Roman',Times,STIXGeneral,serif
}
.MJXp-cal {
    font-family: MathJax_Caligraphic,'Times New Roman',Times,STIXGeneral,serif
}
.MJXp-mono {
    font-family: MathJax_Typewriter,'Times New Roman',Times,STIXGeneral,serif
}
.MJXp-largeop {
    font-size: 150%
}
.MJXp-largeop.MJXp-int {
    vertical-align: -.2em
}
.MJXp-math {
    display: inline-block;
    line-height: 1.2;
    text-indent: 0;
    font-family: 'Times New Roman',Times,STIXGeneral,serif;
    white-space: nowrap;
    border-collapse: collapse
}
.MJXp-display {
    display: block;
    text-align: center;
    margin: 1em 0
}
.MJXp-math span {
    display: inline-block
}
.MJXp-box {
    display: block!important;
    text-align: center
}
.MJXp-box:after {
    content: " "
}
.MJXp-rule {
    display: block!important;
    margin-top: .1em
}
.MJXp-char {
    display: block!important
}
.MJXp-mo {
    margin: 0 .15em
}
.MJXp-mfrac {
    margin: 0 .125em;
    vertical-align: .25em
}
.MJXp-denom {
    display: inline-table!important;
    width: 100%
}
.MJXp-denom > * {
    display: table-row!important
}
.MJXp-surd {
    vertical-align: top
}
.MJXp-surd > * {
    display: block!important
}
.MJXp-script-box > *  {
    display: table!important;
    height: 50%
}
.MJXp-script-box > * > * {
    display: table-cell!important;
    vertical-align: top
}
.MJXp-script-box > *:last-child > * {
    vertical-align: bottom
}
.MJXp-script-box > * > * > * {
    display: block!important
}
.MJXp-mphantom {
    visibility: hidden
}
.MJXp-munderover, .MJXp-munder {
    display: inline-table!important
}
.MJXp-over {
    display: inline-block!important;
    text-align: center
}
.MJXp-over > * {
    display: block!important
}
.MJXp-munderover > *, .MJXp-munder > * {
    display: table-row!important
}
.MJXp-mtable {
    vertical-align: .25em;
    margin: 0 .125em
}
.MJXp-mtable > * {
    display: inline-table!important;
    vertical-align: middle
}
.MJXp-mtr {
    display: table-row!important
}
.MJXp-mtd {
    display: table-cell!important;
    text-align: center;
    padding: .5em 0 0 .5em
}
.MJXp-mtr > .MJXp-mtd:first-child {
    padding-left: 0
}
.MJXp-mtr:first-child > .MJXp-mtd {
    padding-top: 0
}
.MJXp-mlabeledtr {
    display: table-row!important
}
.MJXp-mlabeledtr > .MJXp-mtd:first-child {
    padding-left: 0
}
.MJXp-mlabeledtr:first-child > .MJXp-mtd {
    padding-top: 0
}
.MJXp-merror {
    background-color: #FFFF88;
    color: #CC0000;
    border: 1px solid #CC0000;
    padding: 1px 3px;
    font-style: normal;
    font-size: 90%
}
.MJXp-scale0 {
    -webkit-transform: scaleX(.0);
    -moz-transform: scaleX(.0);
    -ms-transform: scaleX(.0);
    -o-transform: scaleX(.0);
    transform: scaleX(.0)
}
.MJXp-scale1 {
    -webkit-transform: scaleX(.1);
    -moz-transform: scaleX(.1);
    -ms-transform: scaleX(.1);
    -o-transform: scaleX(.1);
    transform: scaleX(.1)
}
.MJXp-scale2 {
    -webkit-transform: scaleX(.2);
    -moz-transform: scaleX(.2);
    -ms-transform: scaleX(.2);
    -o-transform: scaleX(.2);
    transform: scaleX(.2)
}
.MJXp-scale3 {
    -webkit-transform: scaleX(.3);
    -moz-transform: scaleX(.3);
    -ms-transform: scaleX(.3);
    -o-transform: scaleX(.3);
    transform: scaleX(.3)
}
.MJXp-scale4 {
    -webkit-transform: scaleX(.4);
    -moz-transform: scaleX(.4);
    -ms-transform: scaleX(.4);
    -o-transform: scaleX(.4);
    transform: scaleX(.4)
}
.MJXp-scale5 {
    -webkit-transform: scaleX(.5);
    -moz-transform: scaleX(.5);
    -ms-transform: scaleX(.5);
    -o-transform: scaleX(.5);
    transform: scaleX(.5)
}
.MJXp-scale6 {
    -webkit-transform: scaleX(.6);
    -moz-transform: scaleX(.6);
    -ms-transform: scaleX(.6);
    -o-transform: scaleX(.6);
    transform: scaleX(.6)
}
.MJXp-scale7 {
    -webkit-transform: scaleX(.7);
    -moz-transform: scaleX(.7);
    -ms-transform: scaleX(.7);
    -o-transform: scaleX(.7);
    transform: scaleX(.7)
}
.MJXp-scale8 {
    -webkit-transform: scaleX(.8);
    -moz-transform: scaleX(.8);
    -ms-transform: scaleX(.8);
    -o-transform: scaleX(.8);
    transform: scaleX(.8)
}
.MJXp-scale9 {
    -webkit-transform: scaleX(.9);
    -moz-transform: scaleX(.9);
    -ms-transform: scaleX(.9);
    -o-transform: scaleX(.9);
    transform: scaleX(.9)
}
.MathJax_PHTML .noError {
    vertical-align: -2px;
    font-size: 90%;
    text-align: left;
    color: black;
    padding: 1px 3px;
    border: 1px solid
}

.disp {
    text-align: left;
    margin: 1em 0em;
    position: relative;
    display: block!important;
    text-indent: 0;
    max-width: none;
    max-height: none;
    min-width: 0;
    min-height: 0;
    width: 100%
}
.EQNLABEL {
    float: right;
}
.MathJax .merror {
    background-color: #FFFF88;
    color: #CC0000;
    border: 1px solid #CC0000;
    padding: 1px 3px;
    font-style: normal;
    font-size: 90%
}
.MathJax .MJX-monospace {
    font-family: monospace
}
.MathJax .MJX-sans-serif {
    font-family: sans-serif
}
#MathJax_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
}
.MathJax {
    display: inline;
    font-style: normal;
    font-weight: normal;
    line-height: normal;
    font-size: 100%;
    font-size-adjust: none;
    text-indent: 0;
    text-align: left;
    text-transform: none;
    letter-spacing: normal;
    word-spacing: normal;
    word-wrap: normal;
    white-space: nowrap;
    float: none;
    direction: ltr;
    max-width: none;
    max-height: none;
    min-width: 0;
    min-height: 0;
    border: 0;
    padding: 0;
    margin: 0
}
.MathJax:focus, body :focus .MathJax {
    display: inline-table
}
.MathJax.MathJax_FullWidth {
    text-align: center;
    display: table-cell!important;
    width: 10000em!important
}
.MathJax img, .MathJax nobr, .MathJax a {
    border: 0;
    padding: 0;
    margin: 0;
    max-width: none;
    max-height: none;
    min-width: 0;
    min-height: 0;
    vertical-align: 0;
    line-height: normal;
    text-decoration: none
}
img.MathJax_strut {
    border: 0!important;
    padding: 0!important;
    margin: 0!important;
    vertical-align: 0!important
}
.MathJax span {
    display: inline;
    position: static;
    border: 0;
    padding: 0;
    margin: 0;
    vertical-align: 0;
    line-height: normal;
    text-decoration: none;
    box-sizing: content-box
}
.MathJax nobr {
    white-space: nowrap!important
}
.MathJax img {
    display: inline!important;
    float: none!important
}
.MathJax * {
    transition: none;
    -webkit-transition: none;
    -moz-transition: none;
    -ms-transition: none;
    -o-transition: none
}
.MathJax_Processing {
    visibility: hidden;
    position: fixed;
    width: 0;
    height: 0;
    overflow: hidden
}
.MathJax_Processed {
    display: none!important
}
.MathJax_test {
    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
}
.MathJax_test.mjx-test-display {
    display: table!important
}
.MathJax_test.mjx-test-inline {
    display: inline!important;
    margin-right: -1px
}
.MathJax_test.mjx-test-default {
    display: block!important;
    clear: both
}
.MathJax_ex_box {
    display: inline-block!important;
    position: absolute;
    overflow: hidden;
    min-height: 0;
    max-height: none;
    padding: 0;
    border: 0;
    margin: 0;
    width: 1px;
    height: 60ex
}
.MathJax_em_box {
    display: inline-block!important;
    position: absolute;
    overflow: hidden;
    min-height: 0;
    max-height: none;
    padding: 0;
    border: 0;
    margin: 0;
    width: 1px;
    height: 60em
}
.mjx-test-inline .MathJax_left_box {
    display: inline-block;
    width: 0;
    float: left
}
.mjx-test-inline .MathJax_right_box {
    display: inline-block;
    width: 0;
    float: right
}
.mjx-test-display .MathJax_right_box {
    display: table-cell!important;
    width: 10000em!important;
    min-width: 0;
    max-width: none;
    padding: 0;
    border: 0;
    margin: 0
}
.MathJax .MathJax_HitBox {
    cursor: text;
    background: white;
    opacity: 0;
    filter: alpha(opacity=0)
}
.MathJax .MathJax_HitBox * {
    filter: none;
    opacity: 1;
    background: transparent
}
#MathJax_Tooltip * {
    filter: none;
    opacity: 1;
    background: transparent
}
@font-face {
    font-family: MathJax_Main;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Main-Regular.woff?V=2.7.3') format('woff')
}
@font-face {
    font-family: MathJax_Main;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Main-Bold.woff?V=2.7.3') format('woff');
    font-weight: bold
}
@font-face {
    font-family: MathJax_Main;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Main-Italic.woff?V=2.7.3') format('woff');
    font-style: italic
}
@font-face {
    font-family: MathJax_Math;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Math-Italic.woff?V=2.7.3') format('woff');
    font-style: italic
}
@font-face {
    font-family: MathJax_Caligraphic;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Caligraphic-Regular.woff?V=2.7.3') format('woff')
}
@font-face {
    font-family: MathJax_Size1;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Size1-Regular.woff?V=2.7.3') format('woff')
}
@font-face {
    font-family: MathJax_Size2;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Size2-Regular.woff?V=2.7.3') format('woff')
}
@font-face {
    font-family: MathJax_Size3;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Size3-Regular.woff?V=2.7.3') format('woff')
}
@font-face {
    font-family: MathJax_Size4;
    src: url('../MathJax-2.7.3/fonts/HTML-CSS/TeX/woff/MathJax_Size4-Regular.woff?V=2.7.3') format('woff')
}
.MathJax .noError {
    vertical-align: -2px;
    font-size: 90%;
    text-align: left;
    color: black;
    padding: 1px 3px;
    border: 1px solid
}