.button-blue {
  background-color: #7aa6da;
  border: none;
  color: white;
  padding: 15px 32px;
  text-align: center;
  text-decoration: none;
  display: block;
  margin: 0 auto;
  font-size: 1em;
  border-radius: 12px;
  #height: 50px;
}

.button-green {
  background-color: #65956d;
  border: none;
  color: white;
  padding: 15px 32px;
  text-align: center;
  text-decoration: none;
  display: block;
  margin: 0 auto;
  font-size: 1em;
  border-radius: 12px;
  #height: 50px;
}

.v-center-container {
  display: flex !important;
  justify-content: center;
  align-items: center;
  height: 90%;
}

.overview-text {
  /*text-align: center; */
  /* This is not working */
  font-size: 2.3em;
  font-weight: bold;
  text-align: center;
  color: black;
}

.overview-text-2 {
  /*text-align: center; */
  /* This is not working */
  font-size: 0.01em;
  font-weight: bold;
  text-align: center;
  color: black;
}

.sub-text {
  /*text-align: center; */
  font-size: 1.5em;
  font-weight: bold;
  text-align: center;
  color: black;
}

.sub-text-2 {
  /*text-align: center; */
  font-size: 1.8em;
  font-weight: bold;
  text-align: center;
  color: black;
}

.sub-text-3 {
  /*text-align: center; */
  font-size: 0.3em;
  text-align: center;
  color: black;
}

/* footnote size */
[id^=fn] {
  font-size: 0.6em !important;
}

.vertical-center {
  margin: 0;
  position: absolute;
  top: 50%;
  -ms-transform: translateY(-50%);
  transform: translateY(-50%);
}

#vcenter {
  vertical-align: middle;
}

.reveal #center {
  text-align: center;
  color: aqua;
}

.smaller {
  font-size: 0.8em;
}

#title-slide-text>.title {
  font-size: 2.2em;
}

/* entire box */
#title-slide-text {
  justify-content: center;
  width: 100%;
  margin-top: 12%;
  /* border: 1px solid green; */
}

.f50 {
  font-size: 50%;
}

.fc {
  font-palette: blue;
}

.big-source-code {
  font-size: 2em;
}

/* for making the source code div shorter */
#short-r .sourceCode .numberSource .r {
  height: 150px
}

.title {
  font-size: 70px !important;
}

.fragment-remove .fragment.fade-out.visible,
.fragment-remove .fragment.fade-in-then-out.visible {
  display: none;
  height:0px;
  line-height: 0px;
  font-size: 0px;
}


.fragment.highlight.visible {
  background-color: #99ccff;
  border: 2px solid #2288cc;
  font-weight: bold;
}

.reveal code {
  white-space: pre;
}

.quarto-title {
  display: none;
}

/* custom.css */

/* Target MathJax/KaTeX display equations */
.reveal .MathJax_Display, /* For MathJax */
.reveal .katex-display {   /* For KaTeX, if you happen to be using it */
  font-size: 0.85em; /* Reduce the math font size (e.g., from 1em to 0.85em or 0.8em) */
  margin-top: 0.2em; /* Reduce top margin */
  margin-bottom: 0.2em; /* Reduce bottom margin */
}

/* Ensure math font rendering is consistent */
.reveal math {
  font-family: 'STIX Two Math', 'DejaVu Math TeX Gyre', 'Cambria Math', sans-serif;
}

.sub-text-3 {
  /*text-align: center; */
  font-size: 0.9em;
  font-weight: bold;
  text-align: center;
  color: black;
}