span[class|=section-number] {
  display: none;
}

.reveal h1 {
  /* font-size: 3.77em;  */
  font-size: 2.0em; }

.reveal h2 {
  /* font-size: 2.11em;  */
  font-size: 1.33em; }

.reveal h3 {
  /* font-size: 1.55em;  */
  font-size: 1.1em; }

.reveal div {font-size: 0.9em; }
.reveal h4 { font-size: 1em; }

.reveal p { font-size: 0.9em;}

.reveal pre code { font-size: 0.60em; }

.reveal ul { font-size: 0.90em; }

.reveal ul p { font-size: 1em; }

.reveal ul ul {font-size: 1em;}

.reveal p, ul, li {
    text-align: left; 
}

.org-center p {
    text-align: center; 
}
#sec-title-slide p {
    text-align: center; 
}

.figure p {
    text-align: center; 
}


.figure img {
    box-shadow: none;
    background: none;
    border: none; 
}

.reveal section img { border:none; box-shadow:none; }

.theorem, .definition, .proof, .lemma {
    display:block;
    margin-left:10px;
    margin-bottom:20px;
    font-style:normal;
}
.theorem:before{
    content:"Theorem.\00a0\00a0";
    float:left;
    font-weight:bold;
    font-size: 0.9em; 
}
.lemma:before{
    content:"Lemma.\00a0\00a0";
    float:left;
    font-weight:bold;
    font-size: 0.6em; 
}
.proof:before{
    content:"Proof.\00a0\00a0";
    float:left;
    font-weight:bold;
    font-size: 0.6em; 
}

.definition:before{
    content:"Definition.\00a0\00a0 ";
    float:left;
    font-weight:bold;
    font-size: 0.6em; 
}

.content .theorem:before{
    content:"Theorem " counter(thm-counter) ".\00a0\00a0";
    float:left;
    font-weight:bold;
    font-size: 1em; 
}
.content .definition:before{
    content:"Definition " counter(def-counter) ".\00a0\00a0";    
    float:left;
    font-weight:bold;
    font-size: 1em; 
}

.content .lemma:before{
    content:"Lemma " counter(lem-counter) ".\00a0\00a0";
    float:left;
    font-weight:bold;
    font-size: 1em; 
}

.content .proof:before{
    content:"Proof.\00a0\00a0";
    float:left;
    font-weight:bold;
    font-size: 1em; 
}

.definition {
    counter-increment: def-counter 1; 
}

.theorem {
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}

.lemma {
    counter-increment: lem-counter 1; 
}

.content .definition:before{
    content:"Definition " counter(def-counter) ".\00a0\00a0 ";
    float:left;
    font-weight:bold;
}

.content h2 {
    counter-increment: section-counter 1;
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}

.content h3 {
    counter-increment: subsection-counter 1;
}

.content h2:before {
    content: counter(section-counter) ". "; 
}

.content .nonumber h2:before {
    content: none; 
}

h2.footnotes:before {
    content: none; 
}

.content h3:before {
    content: counter(section-counter) "." counter(subsection-counter) ". "; 
}


.reveal h1,
.reveal h2,
.reveal h3,
.reveal h4,
.reveal h5,
.reveal h6 {
  text-transform: none;
}


.MathJax_CHTML {
    font-size: 50% !important;
}

.MathJax {
    font-size: 1.0em !important;
}

#slide-bibliography .csl-entry { font-size: 0.35em;
				 text-align: left; 
          }