usable presentation

introduction.typ

@@ -19,7 +19,7 @@
 == The 21-cm signal
 
 
-The brigthtness temperature describes the difference between the CMB temperature and the spin temperature of neutral hydrogen
+The _brigthtness temperature_ describes the intensity of the 21-cm line
 
 #v(1em)
 
@@ -28,11 +28,11 @@ The brigthtness temperature describes the difference between the CMB temperature
 ][
   #pause
   #set text(size: 0.8em)
-  remove contribution from the BB spectrum:
+  remove contribution from the BB spectrum
 
   _differential brightness temperature_
 
-  $==>$ the actual 21-cm signal
+  $==>$ the actual reionization signal
 
   #image("assets/brighness_temperature.png", fit: "contain")
   from @Schaeffer_2023
@@ -41,19 +41,13 @@ The brigthtness temperature describes the difference between the CMB temperature
 #pagebreak()
 
 
+== Expression the 21-cm signal @Pritchard2012 @Furlanetto_2006
 
 #align(center)[
-  #image("assets/evolution_of_dtb.png", height: 85%, fit: "contain")
-  #text(size: 0.8em)[from @Pritchard2012]
+  #image("assets/evolution_of_dtb.png", height: 70%, fit: "contain")
+  // #text(size: 0.8em)[from @Pritchard2012]
 ]
-
-// COMMENTS:
-
-
-
-== Expression the 21-cm signal
-Expressing the _differential brightness temperature_ (e.g @Pritchard2012):
-
+#pause
 $
   d T_"b" (bold(x), z) tilde.eq T_0 (z) dot
   #pin(1) x_"HI" (bold(x), z) #pin(2) dot
@@ -62,8 +56,6 @@ $
   ((1 - T_"CMB" (z)) / (#pin(5) T_"gas" (bold(x), z) #pin(6)))
 $ <eq:dTb>
 
-// Explanation
-- further modulation by _RSD_
 
 
 == The current state of simulations
@@ -73,11 +65,14 @@ $ <eq:dTb>
   [
     *Traditional approaches*
     // From first principles
-    - need to cover large dynamic range
+
+    $->$ need to cover large dynamic range
+
     // small scales to resolve sources + sinks + feedback
     // large scales to capture statistics
-    - hydrodynamics & radiative transfer
-    - hard to scale
+    $->$ hydrodynamics & radiative transfer
+
+    $->$ hard to scale
 
     $=>$ no reproducibility
     #pause
@@ -85,7 +80,7 @@ $ <eq:dTb>
   [
     #pad(1em)[
       #align(left)[
-        #text(weight: "bold")[semi-numerical approaches]
+        #text(weight: "bold")[Semi-numerical approaches]
 
         such as #beorn @Schaeffer_2023, `21cmFAST` @21cmfast
 
@@ -94,7 +89,8 @@ $ <eq:dTb>
 
         $->$ approximative treatment
 
-        $->$ link
+        $->$ prediction of global signals
+        // and statisticical properties
 
         $->$ scalable + efficient
 
@@ -105,4 +101,3 @@ $ <eq:dTb>
     ]
   ]
 )
-