Spelling corrections

A number of spelling corrections as reported by the codespell (see: https://github.com/codespell-project/codespell) program and lists.

Some remarks:
- not considered are grammatical errors
- not considered are names in the code although there are a number that could be improved (like `childs` -> `children`)
- in the documentation it could be made clearer what are variables and what is running text (e.g. by placing variables in running text between backticks)
- some comments are in the French language, I think it would be better to have them in the English (United States version).

1 files changed, 2 insertions, 2 deletions

diff --git a/src/Persistence_representations/include/gudhi/Persistence_intervals.h b/src/Persistence_representations/include/gudhi/Persistence_intervals.h
index a6c1d6f0..f4324cb2 100644
--- a/src/Persistence_representations/include/gudhi/Persistence_intervals.h
+++ b/src/Persistence_representations/include/gudhi/Persistence_intervals.h
@@ -109,7 +109,7 @@ class Persistence_intervals {
   std::vector<size_t> cumulative_histogram_of_lengths(size_t number_of_bins = 10) const;
 
   /**
-   * In this procedure we assume that each barcode is a characteristic function of a hight equal to its length. The
+   * In this procedure we assume that each barcode is a characteristic function of a height equal to its length. The
    *persistence diagram is a sum of such a functions. The procedure below construct a function being a
    * sum of the characteristic functions of persistence intervals. The first two parameters are the range in which the
    *function is to be computed and the last parameter is the number of bins in
@@ -207,7 +207,7 @@ class Persistence_intervals {
   /**
    * This is a simple function projecting the persistence intervals to a real number. The function we use here is a sum
    *of squared lengths of intervals. It can be naturally interpreted as
-   * sum of step function, where the step hight it equal to the length of the interval.
+   * sum of step function, where the step height it equal to the length of the interval.
    * At the moment this function is not tested, since it is quite likely to be changed in the future. Given this, when
    *using it, keep in mind that it
    * will be most likely changed in the next versions.