.MathJax_Preview {
    color: #888
}

#MathJax_Message {
    position: fixed;
    left: 1em;
    bottom: 1.5em;
    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_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;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')
}


.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;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')
}

.MathJax_MenuItem {
    padding: 2px 2em;
    background: transparent
}

.MathJax_MenuArrow {
    position: absolute;
    right: .5em;
    padding-top: .25em;
    color: #666666;
    font-size: .75em
}

.MathJax_MenuActive .MathJax_MenuArrow {
    color: white
}

.MathJax_MenuArrow.RTL {
    left: .5em;
    right: auto
}

.MathJax_MenuCheck {
    position: absolute;
    left: .7em
}

.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_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;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')
}

#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_About.MathJax_MousePost {
    outline: none
}



.MathJax_Error {
    color: #CC0000;
    font-style: italic
}



.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_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_Display {
    text-align: center;
    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%
}

.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;
    filter: progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true');
    padding: 3px 4px;
    z-index: 401;
    position: absolute;
    left: 0;
    top: 0;
    width: auto;
    height: auto;
    display: none
}

.MathJax {
    display: inline-block;
    font-style: normal;
    font-weight: normal;
    line-height: normal;
    font-size: 100%;
    font-size-adjust: none;
    text-indent: 0;
    text-align: center;
    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: 0em 0.3em;
}

.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
}

.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_ExBox {
    display: block !important;
    overflow: hidden;
    width: 1px;
    height: 60ex;
    min-height: 0;
    max-height: none
}

.MathJax .MathJax_EmBox {
    display: block !important;
    overflow: hidden;
    width: 1px;
    height: 60em;
    min-height: 0;
    max-height: none
}

.MathJax_LineBox {
    display: table !important
}

.MathJax_LineBox span {
    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
}

.MathJax_Preview {
    visibility: hidden
}

.MathJax .noError {
    font-size: 90%;
    text-align: left;
    color: black;
    padding: 1px 3px;
    border: 1px solid
}

.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 {
    display: inline-table !important
}

.MJXp-over {
    display: inline-block !important;
    text-align: center
}

.MJXp-over > * {
    display: block !important
}

.MJXp-munderover > * {
    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 {
    font-size: 90%;
    text-align: left;
    color: black;
    padding: 1px 3px;
    border: 1px solid
}

@font-face {font-family: MathJax_Blank; src: url('about:blank')}

@font-face {font-family: STIXMathJax_Alphabets-bold; src: url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/woff/STIXMathJax_Alphabets-Bold.woff?V=2.7.1') format('woff'), url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/otf/STIXMathJax_Alphabets-Bold.otf?V=2.7.1') format('opentype')}
@font-face {font-family: STIXMathJax_Alphabets-bold-italic; src: url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/woff/STIXMathJax_Alphabets-BoldItalic.woff?V=2.7.1') format('woff'), url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/otf/STIXMathJax_Alphabets-BoldItalic.otf?V=2.7.1') format('opentype')}
@font-face {font-family: STIXMathJax_Alphabets-italic; src: url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/woff/STIXMathJax_Alphabets-Italic.woff?V=2.7.1') format('woff'), url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/otf/STIXMathJax_Alphabets-Italic.otf?V=2.7.1') format('opentype')}
@font-face {font-family: STIXMathJax_Alphabets; src: url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/woff/STIXMathJax_Alphabets-Regular.woff?V=2.7.1') format('woff'), url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/otf/STIXMathJax_Alphabets-Regular.otf?V=2.7.1') format('opentype')}
@font-face {font-family: STIXMathJax_Arrows; src: url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/woff/STIXMathJax_Arrows-Regular.woff?V=2.7.1') format('woff'), url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/otf/STIXMathJax_Arrows-Regular.otf?V=2.7.1') format('opentype')}
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@font-face {font-family: STIXMathJax_DoubleStruck-bold; src: url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/woff/STIXMathJax_DoubleStruck-Bold.woff?V=2.7.1') format('woff'), url('https://static.zhixue.com/common/mathjax/2.7.1/fonts/HTML-CSS/STIX-Web/otf/STIXMathJax_DoubleStruck-Bold.otf?V=2.7.1') format('opentype')}
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