diff --git a/R/fcwt.R b/R/fcwt.R
index 0b98631..829998c 100644
--- a/R/fcwt.R
+++ b/R/fcwt.R
@@ -9,12 +9,12 @@
 #'  Sampling rate of input time series in physical units.
 #'
 #' @param freq_begin
-#'  Sets the minimal frequency (`> 0`!), in same units as `sample_freq`,
+#'  Sets the minimal frequency (\code{> 0}!), in same units as \code{sample_freq},
 #'  that should be contained in the output.
 #'
 #' @param freq_end
-#'  Sets the maximal frequency (`> freq_begin`!), in sameunits as `sample_freq`,
-#'  that should be contained in the output.
+#'  Sets the maximal frequency (\code{> freq_begin}!), in same units as
+#'  \code{sample_freq}, that should be contained in the output.
 #'
 #' @param n_freqs
 #'  Number of frequency bins generated by the CWT. The frequencies
@@ -23,8 +23,7 @@
 #'
 #' @param sigma
 #'  Sets a dimensionless parameter modifying the wavelet spread which in the
-#'  time-domain is roughly given by
-#'  \eqn{\Sigma_t \sim \sqrt(2) \frac{\sigma}{f}}.
+#'  time-domain is roughly given by \eqn{\Sigma_t \sim \sqrt{2} \frac{\sigma}{f}}.
 #'  Changing this parameter adjusts the time/frequency uncertainty balance.
 #'  Defaults to 1.
 #'  Larger (lower) value of sigma corresponds to a better (worse) frequency
@@ -35,16 +34,16 @@
 #'  settings corresponding values to NA.
 #'  We define the essential support of the
 #'  (Gaußian) wavelet to be four times its standard deviation,
-#'  \eqn{4 \Sigma_t = 2 * \sqrt(2) \frac{\sigma}{f}}, and so a wavelet touches
+#'  \eqn{4 \Sigma_t = 2 * \sqrt{2} \frac{\sigma}{f}}, and so a wavelet touches
 #'  the boundary if the distance of the center of the wavelet to the boundary
-#'  is less then \eqn{4 \Sigma_t}. Values that fall into that rangeare removed
+#'  is less then \eqn{4 \Sigma_t}. Values that fall into that range are removed
 #'  if `remove_coi = TRUE`.
 #'
 #' @param nthreads
 #'  Number of threads used by the computation, if applicable.
 #'
 #' @return
-#'  A numeric real-valued matrix with `dim = c(length(signal), n_freqs)`.
+#'  A numeric real-valued matrix with \code{dim = c(length(signal), n_freqs)}.
 #'
 #' @examples
 #' ts_sin_440 <- sin((1:44100) * 2 * pi * 440 / 44100)
@@ -57,7 +56,6 @@
 #'   n_freqs = 10,
 #'   sigma = 5
 #' )
-#'
 #' @export
 fcwt <- function(signal,
                  sample_freq,
diff --git a/man/fcwt.Rd b/man/fcwt.Rd
index d94923a..7186fd8 100644
--- a/man/fcwt.Rd
+++ b/man/fcwt.Rd
@@ -20,19 +20,18 @@ fcwt(
 
 \item{sample_freq}{Sampling rate of input time series in physical units.}
 
-\item{freq_begin}{Sets the minimal frequency (`> 0`!), in same units as `sample_freq`,
+\item{freq_begin}{Sets the minimal frequency (\code{> 0}!), in same units as \code{sample_freq},
 that should be contained in the output.}
 
-\item{freq_end}{Sets the maximal frequency (`> freq_begin`!), in sameunits as `sample_freq`,
-that should be contained in the output.}
+\item{freq_end}{Sets the maximal frequency (\code{> freq_begin}!), in same units as
+\code{sample_freq}, that should be contained in the output.}
 
 \item{n_freqs}{Number of frequency bins generated by the CWT. The frequencies
 are linearly distributed. Computation time increases
 when raising the number of frequency bins.}
 
 \item{sigma}{Sets a dimensionless parameter modifying the wavelet spread which in the
-time-domain is roughly given by
-\eqn{\Sigma_t \sim \sqrt(2) \frac{\sigma}{f}}.
+time-domain is roughly given by \eqn{\Sigma_t \sim \sqrt{2} \frac{\sigma}{f}}.
 Changing this parameter adjusts the time/frequency uncertainty balance.
 Defaults to 1.
 Larger (lower) value of sigma corresponds to a better (worse) frequency
@@ -42,15 +41,15 @@ resolution and a worse (better) time resolution.}
 settings corresponding values to NA.
 We define the essential support of the
 (Gaußian) wavelet to be four times its standard deviation,
-\eqn{4 \Sigma_t = 2 * \sqrt(2) \frac{\sigma}{f}}, and so a wavelet touches
+\eqn{4 \Sigma_t = 2 * \sqrt{2} \frac{\sigma}{f}}, and so a wavelet touches
 the boundary if the distance of the center of the wavelet to the boundary
-is less then \eqn{4 \Sigma_t}. Values that fall into that rangeare removed
+is less then \eqn{4 \Sigma_t}. Values that fall into that range are removed
 if `remove_coi = TRUE`.}
 
 \item{nthreads}{Number of threads used by the computation, if applicable.}
 }
 \value{
-A numeric real-valued matrix with `dim = c(length(signal), n_freqs)`.
+A numeric real-valued matrix with \code{dim = c(length(signal), n_freqs)}.
 }
 \description{
 This function call is a thin wrapper for the fcwt API.
@@ -66,5 +65,4 @@ fcwt(
   n_freqs = 10,
   sigma = 5
 )
-
 }
diff --git a/man/fcwt_batch.Rd b/man/fcwt_batch.Rd
index c597805..c72e5d6 100644
--- a/man/fcwt_batch.Rd
+++ b/man/fcwt_batch.Rd
@@ -21,19 +21,18 @@ fcwt_batch(
 
 \item{sample_freq}{Sampling rate of input time series in physical units.}
 
-\item{freq_begin}{Sets the minimal frequency (`> 0`!), in same units as `sample_freq`,
+\item{freq_begin}{Sets the minimal frequency (\code{> 0}!), in same units as \code{sample_freq},
 that should be contained in the output.}
 
-\item{freq_end}{Sets the maximal frequency (`> freq_begin`!), in sameunits as `sample_freq`,
-that should be contained in the output.}
+\item{freq_end}{Sets the maximal frequency (\code{> freq_begin}!), in same units as
+\code{sample_freq}, that should be contained in the output.}
 
 \item{n_freqs}{Number of frequency bins generated by the CWT. The frequencies
 are linearly distributed. Computation time increases
 when raising the number of frequency bins.}
 
 \item{sigma}{Sets a dimensionless parameter modifying the wavelet spread which in the
-time-domain is roughly given by
-\eqn{\Sigma_t \sim \sqrt(2) \frac{\sigma}{f}}.
+time-domain is roughly given by \eqn{\Sigma_t \sim \sqrt{2} \frac{\sigma}{f}}.
 Changing this parameter adjusts the time/frequency uncertainty balance.
 Defaults to 1.
 Larger (lower) value of sigma corresponds to a better (worse) frequency