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factorial.html
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<!doctype html><html style="overflow:auto;height:auto;width:auto;"><head><title>Factorial-like Notation</title><meta http-equiv="Content-Type" content="text/html; charset=utf-8"/><style>@font-face {
font-family: Asana;
src: url("fonts/Asana-Math.otf") format("opentype");
}
@font-face {
font-family: Asana-Math;
src: url("fonts/Asana-math-mode.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathbb;
src: url("fonts/types-generated/Asana-mathbb.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathit;
src: url("fonts/types-generated/Asana-mathit.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathcal;
src: url("fonts/types-generated/Asana-mathcal.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathscr;
src: url("fonts/types-generated/Asana-mathscr.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathfrak;
src: url("fonts/types-generated/Asana-mathfrak.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathsf;
src: url("fonts/types-generated/Asana-mathsf.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathtt;
src: url("fonts/types-generated/Asana-mathtt.otf") format("opentype");
}
@font-face {
font-family: Asana-Mathrm;
src: url("fonts/types-generated/Asana-mathrm.otf") format("opentype");
}
@font-face {
font-family: 'FontAwesome';
src: url('fonts/icomoon.eot');
src: url('fonts/icomoon.eot') format('embedded-opentype'), url('fonts/icomoon.woff') format('woff'), url('fonts/icomoon.ttf') format('truetype'), url('fonts/icomoon.svg') format('svg');
font-weight: normal;
font-style: normal;
}
/**
Latin Modern
**/
@font-face {
font-family: LatinModern;
src: url("fonts/latinmodern-math.otf") format("opentype");
}
@font-face {
font-family: LatinModern-Math;
src: url("fonts/latinmodern-math-mode.otf") format("opentype");
}
@font-face {
font-family: LatinModern-Mathbb;
src: url("fonts/types-generated/latinmodern-mathbb.otf") format("opentype");
}
@font-face {
font-family: LatinModern-Mathit;
src: url("fonts/types-generated/latinmodern-mathit.otf") format("opentype");
}
@font-face {
font-family: LatinModern-Mathcal;
src: url("fonts/types-generated/latinmodern-mathcal.otf") format("opentype");
}
@font-face {
font-family: LatinModern-Mathscr;
src: url("fonts/types-generated/latinmodern-mathscr.otf") format("opentype");
}
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font-family: LatinModern-Mathfrak;
src: url("fonts/types-generated/latinmodern-mathfrak.otf") format("opentype");
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font-family: LatinModern-Mathsf;
src: url("fonts/types-generated/latinmodern-mathsf.otf") format("opentype");
}
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font-family: LatinModern-Mathtt;
src: url("fonts/types-generated/latinmodern-mathtt.otf") format("opentype");
}
@font-face {
font-family: LatinModern-Mathrm;
src: url("fonts/types-generated/latinmodern-mathrm.otf") format("opentype");
}
/***********************************************************/
/**
Thicker Latin Modern
**/
@font-face {
font-family: ThickerLm;
src: url("fonts/thickerlm-math.otf") format("opentype");
}
@font-face {
font-family: ThickerLm-Math;
src: url("fonts/thickerlm-math-mode.otf") format("opentype");
}
@font-face {
font-family: ThickerLm-Mathbb;
src: url("fonts/types-generated/thickerlm-mathbb.otf") format("opentype");
}
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font-family: ThickerLm-Mathit;
src: url("fonts/types-generated/thickerlm-mathit.otf") format("opentype");
}
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font-family: ThickerLm-Mathcal;
src: url("fonts/types-generated/thickerlm-mathcal.otf") format("opentype");
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font-family: ThickerLm-Mathscr;
src: url("fonts/types-generated/thickerlm-mathscr.otf") format("opentype");
}
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font-family: ThickerLm-Mathfrak;
src: url("fonts/types-generated/thickerlm-mathfrak.otf") format("opentype");
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font-family: ThickerLm-Mathsf;
src: url("fonts/types-generated/thickerlm-mathsf.otf") format("opentype");
}
@font-face {
font-family: ThickerLm-Mathtt;
src: url("fonts/types-generated/thickerlm-mathtt.otf") format("opentype");
}
@font-face {
font-family: ThickerLm-Mathrm;
src: url("fonts/types-generated/thickerlm-mathrm.otf") format("opentype");
}
/***********************************************************/
/* Computer Modern */
@font-face {
font-family: 'Computer Modern Sans';
src: url('fonts/others-text-mode/computer-modern/Sans/cmunss.otf') format("opentype");
font-weight: normal;
font-style: normal;
}
@font-face {
font-family: 'Computer Modern Sans';
src: url('fonts/others-text-mode/computer-modern/Sans/cmunsx.otf') format("opentype");
font-weight: bold;
font-style: normal;
}
@font-face {
font-family: 'Computer Modern Sans';
src: url('fonts/others-text-mode/computer-modern/Sans/cmunsi.otf') format("opentype");
font-weight: normal;
font-style: italic;
}
@font-face {
font-family: 'Computer Modern Sans';
src: url('fonts/others-text-mode/computer-modern/Sans/cmunso.otf') format("opentype");
font-weight: bold;
font-style: italic;
}
@font-face {
font-family: 'Computer Modern Serif';
src: url('fonts/others-text-mode/computer-modern/Serif/cmunrm.otf') format("opentype");
font-weight: normal;
font-style: normal;
}
@font-face {
font-family: 'Computer Modern Serif';
src: url('fonts/others-text-mode/computer-modern/Serif/cmunbx.otf') format("opentype");
font-weight: bold;
font-style: normal;
}
@font-face {
font-family: 'Computer Modern Serif';
src: url('fonts/others-text-mode/computer-modern/Serif/cmunti.otf') format("opentype");
font-weight: normal;
font-style: italic;
}
@font-face {
font-family: 'Computer Modern Serif';
src: url('fonts/others-text-mode/computer-modern/Serif/cmunbi.otf') format("opentype");
font-weight: bold;
font-style: italic;
}
@font-face {
font-family: 'Computer Modern Typewriter';
src: url('fonts/others-text-mode/computer-modern/Typewriter/cmuntt.otf') format("opentype");
font-weight: normal;
font-style: normal;
}
@font-face {
font-family: 'Computer Modern Typewriter';
src: url('fonts/others-text-mode/computer-modern/Typewriter/cmuntb.otf') format("opentype");
font-weight: bold;
font-style: normal;
}
@font-face {
font-family: 'Computer Modern Typewriter';
src: url('fonts/others-text-mode/computer-modern/Typewriter/cmunit.otf') format("opentype");
font-weight: normal;
font-style: italic;
}
@font-face {
font-family: 'Computer Modern Typewriter';
src: url('fonts/others-text-mode/computer-modern/Typewriter/cmuntx.otf') format("opentype");
font-weight: bold;
font-style: italic;
}
/**/
/**
Sans Math + Liberation Font
**/
@font-face {
font-family: Sans;
src: url("fonts/Sans-Math.otf") format("opentype");
}
@font-face {
font-family: Sans-Math;
src: url("fonts/Sans-Math-mode.otf") format("opentype");
}
@font-face {
font-family: Sans-Bold;
src: url("fonts/types-generated/Sans-bold.otf") format("opentype");
font-weight: bold;
}
@font-face {
font-family: Sans-Mathbb;
src: url("fonts/types-generated/Asana-mathbb.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathit;
src: url("fonts/types-generated/Sans-mathit.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathcal;
src: url("fonts/types-generated/Asana-mathcal.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathscr;
src: url("fonts/types-generated/Asana-mathscr.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathfrak;
src: url("fonts/types-generated/Asana-mathfrak.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathsf;
src: url("fonts/types-generated/Asana-mathsf.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathtt;
src: url("fonts/types-generated/Asana-mathtt.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathrm;
src: url("fonts/types-generated/Asana-mathrm.otf") format("opentype");
}
@font-face {
font-family: Sans-Mathbf;
src: url("fonts/types-generated/Sans-mathbf.otf") format("opentype");
font-weight: bold;
}
/***********************************************************/</style><style>
editor-container > math-type.dark-mode {
background: #1e1e1e;
}
math-type.dark-mode {
background: #1e1e1e;
}
math-type.dark-mode.math-type-for-print {
-webkit-print-color-adjust: exact;
}
math-type.dark-mode editarea.root-editor {
color: #e0e0e0;
fill: #e0e0e0;
stroke: #e0e0e0;
border-color: #e0e0e0;
}
math-type.dark-mode editarea.root-editor {
background: #1e1e1e;
}
math-type.dark-mode .math-container-symbol.selected,
math-type.dark-mode .math-container-symbol.display.selected {
background-color: #2a352a;
}
math-type.dark-mode .matrix-symbol.gather-symbol.selected {
background-color: #2a352a;
}
math-type.dark-mode .matrix-symbol.gather-symbol > matrix > table > tbody > tr > td.selected {
border: 1px solid #525252;
}
math-type.dark-mode .matrix-symbol.align-symbol.selected {
background-color: #2a352a;
}
math-type.dark-mode .matrix-symbol.align-symbol > matrix > table > tbody > tr > td.selected {
border: 1px solid #525252;
}
math-type.dark-mode .matrix-symbol.matrix-like.selected {
background-color: #2a352a;
}
math-type.dark-mode .matrix-symbol.matrix-like > matrix > table > tbody > tr.selected:not(.hline) {
border-top: 1px solid #525252;
}
math-type.dark-mode .matrix-symbol.matrix-like > matrix > table > tbody > tr:last-child.selected {
border-bottom: 1px solid #525252;
}
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border-left: 1px solid #525252;
}
math-type.dark-mode .matrix-symbol > matrix > table > tbody > tr > td:last-child.selected {
border-right: 1px solid #525252;
}
math-type.dark-mode .matrix-symbol.case-symbol > matrix > table > tbody > tr > td.selected {
border: 1px solid #525252;
}
math-type.dark-mode selection-wrapper > selection {
background-color: rgba(33, 150, 243, 0.25);
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math-type.dark-mode selection-wrapper.inactive > selection {
background-color: rgba(255, 255, 255, 0.27);
}
math-type.dark-mode editarea.selected {
outline: 1px solid rgba(177, 174, 174, 0.3);
}
math-type.dark-mode compositeblock.math-diagram > math-diagram {
background: #1e1e1e;
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container-layer.dark-mode editor-container {
background: #1e1e1e;
}
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display: inline-block;
position: relative;
text-align: left;
unicode-bidi: isolate;
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vertical-align: middle;
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latex-symbol-icon {
display: inline-block;
padding: 2px;
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latex-symbol-icon:hover,
latex-symbol-icon.selected {
background: white;
border: 1px solid lightgray;
}
inline {
display: inline-block;
}
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display: inline-block;
overflow: hidden;
width: 0px;
height: inherit;
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math-type .constant-text > constant-text {
margin-left: 0.2em;
margin-right: 0.2em;
}
math-type .constant-text > constant-text.close-left {
margin-left: 0;
}
math-type .constant-text > constant-text.close-right {
margin-right: 0;
}
.color-picker no-color-select {
display: block;
text-align: center;
/* width: 100%; */
/* height: 20px; */
background: white;
border: 1px solid lightgray;
margin-bottom: 2px;
color: gray;
padding: 2px;
cursor: default;
border-radius: 0;
padding-bottom: 2px;
margin-bottom: 3px;
margin-left: -1px;
margin-right: -1px;
font-size: 13px;
}
.color-picker no-color-select:hover {
color: black;
}
.color-picker color-select {
position: absolute;
top: 30px;
left: 0px;
background: white;
}
check-box-wrapper {
display: block;
font-size: 11px;
color: gray;
cursor: pointer;
}
check-box-wrapper.disabled {
color: lightgray;
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border: 1px solid #e2e1e1;
color: lightgray;
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border: 1px solid #e2e1e1;
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height: 1.35em;
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display: inline-flex;
font-size: 11px;
color: green;
background: white;
justify-content: center;
align-items: center;
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width: 100%;
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margin-bottom: -0.02em;
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margin-top: -0.02em;
margin-bottom: -0.02em;
}
vcomposed-symbol > middle {
display: block;
flex-grow: 1;
position: relative;
overflow: hidden;
margin-top: -0.02em;
margin-bottom: -0.02em;
}
vcomposed-symbol > middle > fixed {
display: block;
position: absolute;
left: 0;
top: 0;
}
vcomposed-symbol > middle > fixed > inside {
display: block;
overflow: hidden;
}
vcomposed-symbol > end {
margin-top: -0.02em;
display: block;
overflow: hidden;
}
.open-brace,
.close-brace {
padding: 0 0.1em;
width: 0.5em;
min-width: 0.5em;
}
.open-brace > start,
.close-brace > start {
min-height: 0.75em;
height: 0.75em;
}
.open-brace > middle-center,
.close-brace > middle-center {
min-height: 0.6em;
height: 0.6em;
}
.open-brace > end,
.close-brace > end {
min-height: 0.75em;
height: 0.75em;
}
.open-bracket,
.close-bracket {
width: 0.43em;
min-width: 0.43em;
}
.open-bracket > start,
.close-bracket > start {
height: 0.5em;
min-height: 0.5em;
}
.open-bracket > end,
.close-bracket > end {
height: 0.7em;
min-height: 0.7em;
}
.open-parenthesis,
.close-parenthesis {
width: 0.45em;
min-width: 0.45em;
}
.open-parenthesis > start,
.close-parenthesis > start {
min-height: 0.85em;
height: 0.85em;
}
.open-parenthesis > end,
.close-parenthesis > end {
min-height: 0.8em;
height: 0.8em;
}
.open-floor,
.close-floor {
width: 0.45em;
min-width: 0.45em;
}
.open-floor > end,
.close-floor > end {
height: 0.35em;
min-height: 0.35em;
}
.open-ceil,
.close-ceil {
width: 0.45em;
min-width: 0.45em;
}
.open-ceil > start,
.close-ceil > start {
height: 0.5em;
min-height: 0.5em;
}
.open-vert,
.close-vert {
width: 0.3em;
min-width: 0.3em;
}
.open-Vert,
.close-Vert {
width: 0.5em;
min-width: 0.5em;
}
.open-uparrow,
.close-uparrow {
width: 0.45em;
min-width: 0.45em;
}
.open-uparrow > start,
.close-uparrow > start {
height: 0.5em;
min-height: 0.5em;
}
.open-downarrow,
.close-downarrow {
width: 0.45em;
min-width: 0.45em;
}
.open-downarrow > end,
.close-downarrow > end {
height: 0.4em;
min-height: 0.4em;
}
.open-updownarrow,
.close-updownarrow {
width: 0.45em;
min-width: 0.45em;
}
.open-updownarrow > start,
.close-updownarrow > start {
height: 0.5em;
min-height: 0.5em;
}
.open-updownarrow > end,
.close-updownarrow > end {
height: 0.4em;
min-height: 0.4em;
}
.open-Uparrow,
.close-Uparrow {
width: 0.7em;
min-width: 0.7em;
}
.open-Uparrow > start,
.close-Uparrow > start {
height: 0.5em;
min-height: 0.5em;
}
.open-Downarrow,
.close-Downarrow {
width: 0.7em;
min-width: 0.7em;
}
.open-Downarrow > end,
.close-Downarrow > end {
height: 0.5em;
min-height: 0.5em;
}
.open-Updownarrow,
.close-Updownarrow {
width: 0.6em;
min-width: 0.6em;
}
.open-Updownarrow > start,
.close-Updownarrow > start {
height: 0.5em;
min-height: 0.5em;
}
.open-Updownarrow > end,
.close-Updownarrow > end {
height: 0.5em;
min-height: 0.5em;
}
/**we use alpha as we have problem with background (without alpha) in Electron version (older Chrome) **/
/* z-index region*/
/**different context*/
/**different context*/
opensymbolblock,
closesymbolblock,
.middle-vert-symbol {
display: inline-flex;
align-items: center;
position: relative;
text-align: left;
margin-top: 0.1em;
margin-bottom: 0.1em;
}
opensymbolblock.normal,
closesymbolblock.normal,
.middle-vert-symbol.normal {
margin-top: 0;
margin-bottom: 0;
}
opensymbolblock > hidden-span,
closesymbolblock > hidden-span,
.middle-vert-symbol > hidden-span {
visibility: hidden;
width: 0px;
}
opensymbolblock[type='brace'],
closesymbolblock[type='brace'],
.middle-vert-symbol[type='brace'] {
margin-left: 0.05em;
margin-right: 0.05em;
overflow: visible;
}
opensymbolblock[type='brace'] > svg,
closesymbolblock[type='brace'] > svg,
.middle-vert-symbol[type='brace'] > svg {
overflow: visible;
width: 0.5em;
height: 100%;
}
opensymbolblock[type='parenthesis'] > svg,
closesymbolblock[type='parenthesis'] > svg,
.middle-vert-symbol[type='parenthesis'] > svg {
width: 0.5em;
height: 100%;
}
opensymbolblock[type='bracket'] > svg,
closesymbolblock[type='bracket'] > svg,
.middle-vert-symbol[type='bracket'] > svg {
width: 0.5em;
height: 100%;
}
opensymbolblock[type='angle'].sm-1 > svg,
closesymbolblock[type='angle'].sm-1 > svg,
.middle-vert-symbol[type='angle'].sm-1 > svg {
width: 0.3em;
}
opensymbolblock[type='angle'].sm-2 > svg,
closesymbolblock[type='angle'].sm-2 > svg,
.middle-vert-symbol[type='angle'].sm-2 > svg {
width: 0.45em;
}
opensymbolblock[type='angle'] > svg,
closesymbolblock[type='angle'] > svg,
.middle-vert-symbol[type='angle'] > svg {
width: 0.6em;
height: 100%;
}
opensymbolblock[type='slash'] > svg,
closesymbolblock[type='slash'] > svg,
.middle-vert-symbol[type='slash'] > svg {
width: 0.7em;
height: 100%;
}
opensymbolblock > bracket-span,
closesymbolblock > bracket-span,
.middle-vert-symbol > bracket-span {
display: block;
}
opensymbolblock > vcomposed-symbol,
closesymbolblock > vcomposed-symbol,
.middle-vert-symbol > vcomposed-symbol,
opensymbolblock > bracket-span,
closesymbolblock > bracket-span,
.middle-vert-symbol > bracket-span {
height: 100%;
width: 100%;
font-style: normal;
}
opensymbolblock > brace-span,
closesymbolblock > brace-span,
.middle-vert-symbol > brace-span {
visibility: hidden;
display: inline-block;
padding: 0 0.1em;
}
opensymbolblock,
.middle-vert-symbol {
margin-left: 0.07em;
}
opensymbolblock.normal,
.middle-vert-symbol.normal {
margin-left: 0;
}
opensymbolblock[type='vert'],
.middle-vert-symbol[type='vert'],
opensymbolblock.middle-vert-symbol,
.middle-vert-symbol.middle-vert-symbol {
margin-left: 0.05em;
margin-right: 0.05em;
}
opensymbolblock[type='vert'] > svg,
.middle-vert-symbol[type='vert'] > svg,
opensymbolblock.middle-vert-symbol > svg,
.middle-vert-symbol.middle-vert-symbol > svg {
width: 0.4em;
height: 100%;
}
opensymbolblock[type='parenthesis'] > svg,
.middle-vert-symbol[type='parenthesis'] > svg {
margin-right: -0.1em;
}
closesymbolblock {
margin-right: 0.07em;
}
closesymbolblock.normal {
margin-right: 0;
}
closesymbolblock[type='vert'] {
margin-left: 0.05em;
margin-right: 0.05em;
}
closesymbolblock[type='vert'] > svg {
width: 0.4em;
height: 100%;
}
closesymbolblock[type='parenthesis'] > svg {
margin-left: -0.1em;
}
opensymbolblock[type=empty] > empty,
closesymbolblock[type=empty] > empty {
width: 2px;
height: 100%;
display: block;
}
opensymbolblock[type=empty] > empty.normal-size,
closesymbolblock[type=empty] > empty.normal-size {
height: 1em;
}
opensymbolblock[type=empty] > empty.line-selected,
closesymbolblock[type=empty] > empty.line-selected {
background-color: lightgray;
}
.dirac-bracket-symbol > div > .oangle,
.dirac-bracket-symbol > div > .cangle {
align-self: stretch;
width: 0.55em;
position: relative;
margin-top: 0.1em;
margin-bottom: -0.1em;
}
.dirac-bracket-symbol > div > .oangle > svg,
.dirac-bracket-symbol > div > .cangle > svg {
position: absolute;
left: 0;
top: 0;
width: 100%;
height: 100%;
}
.dirac-bracket-symbol > div > .vert {
align-self: stretch;
width: 0.25em;
position: relative;
margin-top: 0.1em;
margin-bottom: -0.1em;
}
.dirac-bracket-symbol > div > .vert > svg {
position: absolute;
left: 0;
top: 0;
width: 100%;
height: 100%;
}
.dirac-bracket-symbol > div > editarea.first {
min-width: 0.3em;
padding-right: 0.1em;
}
.dirac-bracket-symbol > div > editarea.last {
min-width: 0.3em;
padding-left: 0.1em;
}
.dirac-bracket-symbol > div > editarea.middle {
min-width: 0.3em;
padding-left: 0.1em;
padding-right: 0.1em;
}
cancel-symbol > editarea {
display: inline-flex;
}
cancel-symbol > svg {
position: absolute;
left: 0;
top: 0;
width: 100%;
height: 100%;
}
/**we use alpha as we have problem with background (without alpha) in Electron version (older Chrome) **/
/* z-index region*/
/**different context*/
/**different context*/
math-type compositeblock.frac-slashed-symbol.frac-inline {
font-size: 0.75em;
}
math-type compositeblock.fraction-symbol {
margin-left: 0.1em;
margin-right: 0.1em;
vertical-align: baseline;
}
math-type compositeblock.fraction-symbol.frac-inline {
font-size: 0.75em;
}
math-type compositeblock.fraction-symbol > .enumerator {
float: left;
width: 100%;
clear: both;
}
math-type compositeblock.fraction-symbol > .denominator {
margin-top: -5px;
float: left;
width: 100%;
}
math-type compositeblock.fraction-symbol > .frac-line {
clear: both;
pointer-events: none;
}
math-type compositeblock.fraction-symbol > .frac-line > inline {
display: inline-block;
width: 100%;
vertical-align: 0.25em;
border-bottom: solid 1px;
}
math-type compositeblock.fraction-symbol > editarea {
border: 0px;
min-width: 0.6em;
text-align: center;
}
math-type compositeblock.fraction-symbol > editarea > area-container > line,
math-type compositeblock.fraction-symbol > editarea > line {
justify-content: center;
text-align: center;
}
math-type compositeblock.fraction-symbol > editarea-line {
text-align: center;
}
.stackrel-icon {
margin: auto;
display: flex;
align-items: center;
flex-direction: column;
}
.stackrel-icon .square {
width: 6px;
height: 6px;
border-style: solid;
border-width: 1px;
border-color: gray;
}
.stackrel-icon .distance {
margin-top: 3px;
}
/**we use alpha as we have problem with background (without alpha) in Electron version (older Chrome) **/
/* z-index region*/
/**different context*/
/**different context*/
math-type .stackrel-symbol.selected {
outline: 1px solid rgba(93, 92, 92, 0.3);
}
math-type .stackrel-symbol > .cur-value {
clear: both;
display: inline-flex;
width: 100%;
}