1969 a -Popoviciu- Aeq. Math. - Sur le reste de certaines formules de quadrature - short communicati
html,body {
width: 100%;
height: 100%;
}
*, *::before,*::after {
box-sizing: border-box;
}
body {
margin: 0;
color: #1E2029;
font-size: 14px;
line-height: normal;
}
hr {
box-sizing: content-box;
height: 0;
overflow: visible;
}
h1, h2, h3, h4, h5, h6 {
margin-top: 0;
margin-bottom: 0.5em;
color: rgba(0, 0, 0, 0.85);
font-weight: 500;
}
p {
margin-top: 0;
margin-bottom: 1em;
}
ol, ul, dl {
margin-top: 0;
margin-bottom: 1em;
}
ol ol, ul ul, ol ul, ul ol {
margin-bottom: 0;
}
dt {
font-weight: 500;
}
dd {
margin-bottom: 0.5em;
margin-left: 0;
}
blockquote {
margin: 0 0 1em;
}
dfn {
font-style: italic;
}
b, strong {
font-weight: bolder;
}
small {
font-size: 80%;
}
sub, sup {
position: relative;
font-size: 75%;
line-height: 0;
vertical-align: baseline;
}
sub {
bottom: -0.25em;
}
sup {
top: -0.5em;
}
a {
color: #0B93ff;
text-decoration: none;
background-color: transparent;
outline: none;
cursor: pointer;
transition: color 0.3s;
}
a:hover {
color: #33aaff;
}
a:active {
color: #0070d9;
}
a:active, a:hover {
text-decoration: none;
outline: 0;
}
a[disabled] {
color: rgba(0, 0, 0, 0.25);
cursor: not-allowed;
pointer-events: none;
}
pre, code, kbd, samp {
font-size: 1em;
}
pre {
margin-top: 0;
margin-bottom: 1em;
overflow: auto;
}
figure {
margin: 0 0 1em;
}
img {
vertical-align: middle;
border-style: none;
}
svg:not(:root) {
overflow: hidden;
}
table {
border-collapse: collapse;
}
caption {
padding-top: 0.75em;
padding-bottom: 0.3em;
color: rgba(0, 0, 0, 0.45);
text-align: left;
caption-side: bottom;
}
th {
text-align: inherit;
}
mjx-container[jax="SVG"] {
direction: ltr;
}
mjx-container[jax="SVG"] > svg {
overflow: visible;
min-height: 1px;
min-width: 1px;
}
mjx-container[jax="SVG"] > svg a {
fill: blue;
stroke: blue;
}
mjx-assistive-mml {
position: absolute !important;
top: 0px;
left: 0px;
clip: rect(1px, 1px, 1px, 1px);
padding: 1px 0px 0px 0px !important;
border: 0px !important;
display: block !important;
width: auto !important;
overflow: hidden !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-mml[display="block"] {
width: 100% !important;
}
mjx-container[jax="SVG"][display="true"] {
display: block;
text-align: center;
margin: 1em 0;
}
mjx-container[jax="SVG"][display="true"][width="full"] {
display: flex;
}
mjx-container[jax="SVG"][justify="left"] {
text-align: left;
}
mjx-container[jax="SVG"][justify="right"] {
text-align: right;
}
g[data-mml-node="merror"] > g {
fill: red;
stroke: red;
}
g[data-mml-node="merror"] > rect[data-background] {
fill: yellow;
stroke: none;
}
g[data-mml-node="mtable"] > line[data-line], svg[data-table] > g > line[data-line] {
stroke-width: 70px;
fill: none;
}
g[data-mml-node="mtable"] > rect[data-frame], svg[data-table] > g > rect[data-frame] {
stroke-width: 70px;
fill: none;
}
g[data-mml-node="mtable"] > .mjx-dashed, svg[data-table] > g > .mjx-dashed {
stroke-dasharray: 140;
}
g[data-mml-node="mtable"] > .mjx-dotted, svg[data-table] > g > .mjx-dotted {
stroke-linecap: round;
stroke-dasharray: 0,140;
}
g[data-mml-node="mtable"] > g > svg {
overflow: visible;
}
[jax="SVG"] mjx-tool {
display: inline-block;
position: relative;
width: 0;
height: 0;
}
[jax="SVG"] mjx-tool > mjx-tip {
position: absolute;
top: 0;
left: 0;
}
mjx-tool > mjx-tip {
display: inline-block;
padding: .2em;
border: 1px solid #888;
font-size: 70%;
background-color: #F8F8F8;
color: black;
box-shadow: 2px 2px 5px #AAAAAA;
}
g[data-mml-node="maction"][data-toggle] {
cursor: pointer;
}
mjx-status {
display: block;
position: fixed;
left: 1em;
bottom: 1em;
min-width: 25%;
padding: .2em .4em;
border: 1px solid #888;
font-size: 90%;
background-color: #F8F8F8;
color: black;
}
foreignObject[data-mjx-xml] {
font-family: initial;
line-height: normal;
overflow: visible;
}
mjx-container[jax="SVG"] path[data-c], mjx-container[jax="SVG"] use[data-c] {
stroke-width: 3;
}
#setText > div {
justify-content: inherit;
margin-top: 0;
margin-bottom: 1em;
}
#setText div:last-child {
margin-bottom: 0 !important;
}
#setText > br, #preview-content br {
line-height: 1.2;
}
#preview-content > div {
margin-top: 0;
margin-bottom: 1em;
}
.proof > div, .theorem > div {
margin-top: 1rem;
}
#preview-content table {
margin-bottom: 1em;
}
#setText table {
margin-bottom: 1em;
}
#preview-content .sub-table table, #setText .sub-table table {
margin-bottom: 0;
}
mjx-container {
text-indent: 0;
overflow-y: hidden;
overflow-x: auto;
padding-top: 1px;
padding-bottom: 1px;
}
.math-inline mjx-container {
display: inline-block !important;
page-break-inside: avoid;
max-width: 100%;
padding: 0;
line-height: 0;
}
.math-inline[data-overflow="visible"] mjx-container {
overflow: visible;
}
.math-inline mjx-container mjx-assistive-mml {
max-width: 100%;
}
.math-block {
align-items: center;
page-break-after: auto;
page-break-inside: avoid;
margin: 0;
display: block; /* mjx-container has block */
}
.math-inline {
display: inline-flex; /* mjx-container has inline-block. To prevent displacement during use overflow-x: auto;*/
max-width: 100%;
}
.math-block[data-width="full"] {
overflow-x: auto;
display: flex; /* mjx-container has flex */
}
svg .math-inline {
display: initial;
max-width: initial;
}
svg .math-inline mjx-container {
max-width: initial;
}
svg mjx-container {
overflow: visible;
padding: 0;
}
svg math-block[data-width="full"] {
overflow: visible;
}
.math-block,.math-inline {
--mmd-highlight-color: rgba(0, 147, 255, 0.25);
--mmd-highlight-text-color: #1e2029;
}
.math-block[data-highlight-color] mjx-container[jax="SVG"] > svg {
background-color: var(--mmd-highlight-color);
}
.math-block[data-highlight-text-color] mjx-container[jax="SVG"] > svg {
color: var(--mmd-highlight-text-color);
}
.math-inline[data-highlight-color] mjx-container[jax="SVG"] {
background-color: var(--mmd-highlight-color);
}
.math-inline[data-highlight-text-color] mjx-container[jax="SVG"] {
color: var(--mmd-highlight-text-color);
}
.math-block p {
flex-shrink: 1;
}
.math-block mjx-container {
margin: 0 !important;
}
.math-error {
background-color: yellow;
color: red;
}
#preview-content img, #setText img {
max-width: 100%;
}
#preview-content blockquote, #setText blockquote {
page-break-inside: avoid;
color: #666;
margin: 0 0 1em 0;
padding-left: 3em;
border-left: .5em solid #eee;
}
#preview-content pre, #setText pre {
border: none;
padding: 0;
overflow: auto;
font-size: 85%;
line-height: 1.45;
border-radius: 6px;
box-sizing: border-box;
background: #f8f8fa;
}
#preview-content pre code, #setText pre code{
padding: 1rem;
display: block;
overflow-x: auto;
line-height: 24px;
}
.empty {
text-align: center;
font-size: 18px;
padding: 50px 0 !important;
}
#setText table, #preview-content table {
display: table;
overflow: auto;
max-width: 100%;
border-collapse: collapse;
page-break-inside: avoid;
}
#setText table th, #preview-content table th {
text-align: center;
font-weight: bold;
}
#setText table td, #preview-content table td,
#setText table th, #preview-content table th {
border: 1px solid #dfe2e5;
padding: 6px 13px;
}
#setText table tr, #preview-content table tr {
background-color: #fff;
border-top: 1px solid #c6cbd1;
}
#setText table tr:nth-child(2n), #preview-content table tr:nth-child(2n) {
background-color: #f6f8fa;
}
#preview-content .main-title, #setText .main-title {
text-align: center;
line-height: 1.2;
margin: 0 auto 1em auto;
}
#preview-content .author, #setText .author {
text-align: center;
margin: 0 auto;
display: flex;
justify-content: center;
flex-wrap: wrap;
}
#preview-content .author p, #setText .author p {
min-width: 30%;
max-width: 50%;
padding: 0 7px;
}
#preview-content .author > p > span, #setText .author > p > span {
display: block;
text-align: center;
}
#preview-content .section-title, #setText .section-title {
margin-top: 1.5em;
}
#preview-content .abstract, #setText .abstract {
text-align: justify;
margin-bottom: 1em;
}
#preview-content .abstract p, #setText .abstract p {
margin-bottom: 0;
}
@media print {
#preview {
font-size: 10pt!important;
}
svg {
shape-rendering: crispEdges;
}
.math-block svg, math-inline svg {
margin-top: 1px;
}
#preview-content img, #setText img {
display: block;
}
#preview-content .figure_img img, #setText .figure_img img {
display: inline;
}
.preview-right {
word-break: break-word;
}
#preview-content h1, #setText h1 {
page-break-inside: avoid;
position: relative;
border: 2px solid transparent;
}
#preview-content h1::after, #setText h1::after {
content: "";
display: block;
height: 100px;
margin-bottom: -100px;
position: relative;
}
#preview-content h2, #setText h2 {
page-break-inside: avoid;
position: relative;
border: 2px solid transparent;
}
#preview-content h2::after, #setText h2::after {
content: "";
display: block;
height: 100px;
margin-bottom: -100px;
position: relative;
}
#preview-content h3, #setText h3 {
page-break-inside: avoid;
position: relative;
border: 2px solid transparent;
}
#preview-content h3::after, #setText h3::after {
content: "";
display: block;
height: 100px;
margin-bottom: -100px;
position: relative;
}
#preview-content h4, #setText h4 {
page-break-inside: avoid;
position: relative;
border: 2px solid transparent;
}
#preview-content h4::after, #setText h4::after {
content: "";
display: block;
height: 100px;
margin-bottom: -100px;
position: relative;
}
#preview-content h5, #setText h5 {
page-break-inside: avoid;
position: relative;
border: 2px solid transparent;
}
#preview-content h5::after, #setText h5::after {
content: "";
display: block;
height: 100px;
margin-bottom: -100px;
position: relative;
}
#preview-content h6, #setText h6 {
page-break-inside: avoid;
position: relative;
border: 2px solid transparent;
}
#preview-content h6::after, #setText h6::after {
content: "";
display: block;
height: 100px;
margin-bottom: -100px;
position: relative;
}
}
#preview-content sup, #setText sup {
top: -.5em;
position: relative;
font-size: 75%;
line-height: 0;
vertical-align: baseline;
}
#preview-content .text-url, #setText .text-url {
color: #0B93ff;
cursor: text;
pointer-events: none;
}
#preview-content .text-url a:hover, #setText .text-url a:hover {
color: #0B93ff;
}
mark {
background-color: #feffe6;
}
span[data-underline-type] mark {
background: inherit;
background-color: #feffe6;
padding-top: 0;
padding-bottom: 0;
}
*[data-has-dotfill] {
position: relative;
overflow: hidden;
}
*[data-has-dotfill] .dotfill::after {
position: absolute;
padding-left: .25ch;
content: " . . . . . . . . . . . . . . . . . . . "
". . . . . . . . . . . . . . . . . . . . . . . "
". . . . . . . . . . . . . . . . . . . . . . . "
". . . . . . . . . . . . . . . . . . . . . . . "
". . . . . . . . . . . . . . . . . . . . . . . "
". . . . . . . . . . . . . . . . . . . . . . . "
". . . . . . . . . . . . . . . . . . . . . . . ";
text-align: right;
}
.smiles {
text-align: center;
}
div.svg-container, #setText > div.svg-container {
display: flex;
justify-content: center;
}
#preview-content code, #setText code {
font-family: Inconsolata;
font-size: inherit;
display: initial;
background: #f8f8fa;
}
#preview-content .mmd-highlight code, #setText .mmd-highlight code,
#preview-content pre.mmd-highlight code, #setText pre.mmd-highlight code {
background-color: transparent;
}
#preview-content pre code, #setText pre code {
font-family: 'DM Mono', Inconsolata, monospace;
color: #333;
font-size: 15px;
}
.hljs-comment,
.hljs-quote {
color: #998;
font-style: italic;
}
.hljs-command {
color: #005cc5;
}
.hljs-keyword,
.hljs-selector-tag,
.hljs-subst {
color: #d73a49;
font-weight: bold;
}
.hljs-number,
.hljs-literal,
.hljs-variable,
.hljs-template-variable,
.hljs-tag .hljs-attr {
color: #005cc5;
}
.hljs-string,
.hljs-doctag {
color: #24292e;
}
.hljs-title,
.hljs-section,
.hljs-selector-id {
color: #6f42c1;
font-weight: bold;
}
.hljs-subst {
font-weight: normal;
}
.hljs-type,
.hljs-class .hljs-title {
color: #458;
font-weight: bold;
}
.hljs-tag,
.hljs-name,
.hljs-attribute {
color: #000080;
font-weight: normal;
}
.hljs-regexp,
.hljs-link {
color: #009926;
}
.hljs-symbol,
.hljs-bullet {
color: #990073;
}
.hljs-built_in,
.hljs-builtin-name {
color: #24292e;
}
.hljs-meta {
color: #999;
font-weight: bold;
}
.hljs-meta-keyword {
color: #d73a49;
}
.hljs-meta-string {
color: #032f62;
}
.hljs-deletion {
background: #fdd;
}
.hljs-addition {
background: #dfd;
}
.hljs-emphasis {
font-style: italic;
}
.hljs-strong {
font-weight: bold;
}
.table_tabular table th, .table_tabular table th {
border: none !important;
padding: 6px 13px;
}
.tabular tr, .tabular tr {
border-top: none !important;
border-bottom: none !important;
}
.tabular td, .tabular td {
border-style: none !important;
background-color: #fff;
border-color: #000 !important;
word-break: keep-all;
padding: 0.1em 0.5em !important;
}
.tabular {
display: inline-table !important;
height: fit-content;
}
.tabular td > p {
margin-bottom: 0;
margin-top: 0;
}
.tabular td._empty {
height: 1.3em;
}
.tabular td .f {
opacity: 0;
}
html[data-theme="dark"] .tabular tr, html[data-theme="dark"] .tabular td {
background-color: #202226;
border-color: #fff !important;
}
.table_tabular {
overflow-x: auto;
padding: 0 2px 0.5em 2px;
}
.figure_img {
margin-bottom: 0.5em;
overflow-x: auto;
}
ol.enumerate, ul.itemize {
padding-inline-start: 40px;
}
/* It's commented because counter not supporting to change value
ol.enumerate.lower-alpha {
counter-reset: item ;
list-style-type: none !important;
}
.enumerate.lower-alpha > li {
position: relative;
}
.enumerate.lower-alpha > li:before {
content: "("counter(item, lower-alpha)")";
counter-increment: item;
position: absolute;
left: -47px;
width: 47px;
display: flex;
justify-content: flex-end;
padding-right: 7px;
flex-wrap: nowrap;
word-break: keep-all;
}
*/
.itemize > li {
position: relative;
}
.itemize > li > span.li_level, .li_enumerate.not_number > span.li_level {
position: absolute;
right: 100%;
white-space: nowrap;
width: max-content;;
display: flex;
justify-content: flex-end;
padding-right: 10px;
box-sizing: border-box;
}
.li_enumerate.not_number {
position: relative;
display: inline-block;
list-style-type: none;
}
#preview {
font-family: 'CMU Serif', 'Georgia', Helvetica, Arial, sans-serif;
font-size: 17px;
visibility: visible;
word-break: break-word;
padding: 2.5em;
max-width: 800px;
margin: auto;
box-sizing: content-box;
}
#preview h1, #preview h2, #preview h3, #preview h4, #preview h5, #preview strong {
font-family: 'CMU Serif Bold', 'Georgia', Helvetica, Arial, sans-serif;
}
#preview i, #preview em {
font-family: 'CMU Serif Italic', 'Georgia', Helvetica, Arial, sans-serif;
}
.mmd-menu {
max-width: 320px;
position: absolute;
background-color: white;
color: black;
width: auto;
padding: 5px 0px;
border: 1px solid #E5E6EB;
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;
border-radius: 5px;
-webkit-border-radius: 5px;
-moz-border-radius: 5px;
-khtml-border-radius: 5px;
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;
}
.mmd-menu:focus { outline: none; }
.mmd-menu.mmd-menu-sm {
max-width: 100vw;
padding-bottom: 34px;
border-radius: 0;
-webkit-border-radius: 0;
-moz-border-radius: 0;
-khtml-border-radius: 0;
}
.mmd-menu-item-icon {
color: #1e2029;
margin-left: auto;
align-items: center;
display: flex;
flex-shrink: 0;
display: none;
}
.mmd-menu-item {
padding-bottom: 8px;
padding-top: 8px;
padding-left: 1.25rem;
padding-right: 1.25rem;
display: flex;
background: transparent;
height: 52px;
max-height: 52px;
}
.mmd-menu-item:focus { outline: none; }
.mmd-menu-item.active {
background-color: #e1e0e5;
}
.mmd-menu-item.active .mmd-menu-item-icon {
display: flex;
}
.mmd-menu-item-container {
overflow: hidden;
}
.mmd-menu-item-title {
color: #1e2029;
white-space: nowrap;
text-overflow: ellipsis;
overflow: hidden;
font-size: 14px;
line-height: 20px;
}
.mmd-menu-item-value {
color: #7d829c;
white-space: nowrap;
text-overflow: ellipsis;
overflow: hidden;
font-size: 12px;
line-height: 16px;
}
html[data-theme="dark"] .mmd-menu-item-title {
color: #ebefe7;
}
html[data-theme="dark"] .mmd-menu-item.active .mmd-menu-item-title {
color: #1e2029;
}
html[data-theme="dark"] .mmd-menu {
background-color: #33363a;
}
.mmd-context-menu-overlay{
background: rgba(0, 0, 0, 0.56);
}
.ClipboardButton {
padding: 0;
margin: 0.5rem;
display: inline-block;
cursor: pointer;
color: rgb(36, 41, 47);
background: rgb(246, 248, 250);
border-radius: 6px;
border: 1px solid rgba(31, 35, 40, 0.15);
box-shadow: rgba(31, 35, 40, 0.04) 0 1px 0 0, rgba(255, 255, 255, 0.25) 0 1px 0 0 inset;
position: relative;
}
.ClipboardButton:hover {
background-color: rgb(243, 244, 246);
border-color: rgba(31, 35, 40, 0.15);
transition-duration: .1s;
}
.mmd-clipboard-icon {
fill: currentColor;
vertical-align: text-bottom;
}
.mmd-clipboard-copy-icon {
color: rgb(101, 109, 118);
}
.mmd-clipboard-check-icon {
color: rgb(26, 127, 55);
}
.mmd-tooltipped-no-delay:hover::before,
.mmd-tooltipped-no-delay:hover::after {
animation-delay: 0s;
}
.mmd-tooltipped:hover::before,
.mmd-tooltipped:hover::after {
display: inline-block;
text-decoration: none;
animation-name: tooltip-appear;
animation-duration: .1s;
animation-fill-mode: forwards;
animation-timing-function: ease-in;
animation-delay: .4s;
}
.mmd-tooltipped-w::before {
top: 50%;
bottom: 50%;
left: -7px;
margin-top: -6px;
border-left-color: rgb(36, 41, 47);
}
.mmd-tooltipped::before {
position: absolute;
z-index: 1000001;
display: none;
width: 0;
height: 0;
color: rgb(36, 41, 47);
pointer-events: none;
content: "";
border: 6px solid transparent;
opacity: 0;
}
.mmd-tooltipped-w::after {
right: 100%;
bottom: 50%;
margin-right: 6px;
transform: translateY(50%);
}
.mmd-tooltipped::after {
position: absolute;
z-index: 1000000;
display: none;
padding: 0.5em 0.75em;
font: normal normal 11px/1.5 'CMU Serif', 'Georgia', Helvetica, Arial, sans-serif;
-webkit-font-smoothing: subpixel-antialiased;
color: rgb(255, 255, 255);
text-align: center;
text-decoration: none;
text-shadow: none;
text-transform: none;
letter-spacing: normal;
word-wrap: break-word;
white-space: pre;
pointer-events: none;
content: attr(aria-label);
background: rgb(36, 41, 47);
border-radius: 6px;
opacity: 0;
}
