From 1016584efb37935e0b0fce354c973070b639c858 Mon Sep 17 00:00:00 2001
From: Jan Grewe <jan.grewe@g-node.org>
Date: Fri, 17 Jan 2020 10:04:29 +0100
Subject: [PATCH] [pointprocesses] minor language fixes

---
 pointprocesses/lecture/pointprocesses.tex | 22 ++++++++++------------
 1 file changed, 10 insertions(+), 12 deletions(-)

diff --git a/pointprocesses/lecture/pointprocesses.tex b/pointprocesses/lecture/pointprocesses.tex
index f6e0945..1cf796e 100644
--- a/pointprocesses/lecture/pointprocesses.tex
+++ b/pointprocesses/lecture/pointprocesses.tex
@@ -15,8 +15,8 @@ series of spike times, which are termed \enterm{spiketrains}. If
 measurements are repeated we get several \enterm{trials} of
 spiketrains (\figref{rasterexamplesfig}).
 
-Spiketrains are times of events, the action potentials. The analysis
-of these leads into the realm of the so called \entermde[point
+Spiketrains are times of events, the action potentials. Analyzing
+spike trains leads into the realm of the so called \entermde[point
   process]{Punktprozess}{point processes}.
 
 \begin{figure}[ht]
@@ -25,11 +25,11 @@ of these leads into the realm of the so called \entermde[point
     ten trials of data illustrating the times of the action
     potentials. Each vertical dash illustrates the time at which an
     action potential was observed. Each line displays the events of
-    one trial. Shown is a stationary point process (left, homogeneous
-    point process with a rate $\lambda=20$\;Hz, left) and an
-    non-stationary point process (right, perfect integrate-and-fire
-    neuron dirven by Ohrnstein-Uhlenbeck noise with a time-constant
-    $\tau=100$\,ms, right).}
+    one trial. Shown is a stationary point process (homogeneous point
+    process with a rate $\lambda=20$\;Hz, left) and an non-stationary
+    point process (perfect integrate-and-fire neuron driven by
+    Ohrnstein-Uhlenbeck noise with a time-constant $\tau=100$\,ms,
+    right).}
 \end{figure}
 
 
@@ -46,7 +46,7 @@ of these leads into the realm of the so called \entermde[point
   \item Earthquake: defined by the dynamics of the pressure between
     tectonical plates.
   \item Communication calls in crickets/frogs/birds: shaped by
-    the dynamics of the nervous system and the muscle appartus.
+    the dynamics of the nervous system and the muscle apparatus.
   \end{itemize}
 \end{ibox}
 
@@ -333,10 +333,8 @@ How the firing rate $r(t)$ changes over time is the most important
 measure, when analyzing non-stationary spike trains. The unit of the
 firing rate is Hertz, i.e. the number of action potentials per
 second. There are different ways to estimate the firing rate and three
-of these methods are illustrated in \figref{psthfig}. All of
-these have their own justifications and pros- and cons. In the
-following we will discuss these methods more
-closely.
+of these are illustrated in \figref{psthfig}. All have their own
+justifications, their pros- and cons. 
 
 \begin{figure}[tp]
   \includegraphics[width=\columnwidth]{firingrates}