///

## Sub Applications { #sub-applications }

   *
   * <ul>
   *   <li>Both {@code xStats} and {@code yStats} must have the same {@code count}.
   *   <li>If that {@code count} is 1, {@code sumOfProductsOfDeltas} must be exactly 0.0.
   *   <li>If that {@code count} is more than 1, {@code sumOfProductsOfDeltas} must be finite.
   * </ul>
   */
  PairedStats(Stats xStats, Stats yStats, double sumOfProductsOfDeltas) {

   * this range map are guaranteed to read through to the returned {@code Map}.
   *
   * <p>The returned {@code Map} iterates over entries in ascending order of the bounds of the
   * {@code Range} entries.
   *
   * <p>It is guaranteed that no empty ranges will be in the returned {@code Map}.
   */
  Map<Range<K>, V> asMapOfRanges();

  /**

/// tip

All this might not seem as useful with these simple examples.

But you will see how useful it is in the chapters about **security**.

And you will also see the amounts of code it will save you.

  public void remove(Range<K> rangeToRemove) {
    if (rangeToRemove.isEmpty()) {
      return;
    }

    /*
     * The comments for this method will use [ ] to indicate the bounds of rangeToRemove and ( ) to
     * indicate the bounds of ranges in the range map.
     */
    Entry<Cut<K>, RangeMapEntry<K, V>> mapEntryBelowToTruncate =
        entriesByLowerBound.lowerEntry(rangeToRemove.lowerBound);

@REM -----------------------------------------------------------------------------
@REM Apache Maven Encrypt Script
@REM
@REM Environment Variable Prerequisites
@REM
@REM   JAVA_HOME           (Optional) Points to a Java installation.
@REM   MAVEN_BATCH_ECHO    (Optional) Set to 'on' to enable the echoing of the batch commands.
@REM   MAVEN_BATCH_PAUSE   (Optional) set to 'on' to wait for a key stroke before ending.

### Storage

  cat >pythons.txt <<EOF
$VERSION
$VERSION-dev
$VERSION-venv
$VERSION-distutils
EOF
fi

/setup.packages.sh pythons.txt

# Python 3.10 include headers fix:
# sysconfig.get_path('include') incorrectly points to /usr/local/include/python
# map /usr/include/python3.10 to /usr/local/include/python3.10
if [[ ! -f "/usr/local/include/$VERSION" ]]; then
  ln -sf /usr/include/$VERSION /usr/local/include/$VERSION
fi

# Install pip

   */
  public void reset() {
    internalReset(0L);
  }

  /**
   * Equivalent in effect to {@link #sum} followed by {@link #reset}. This method may apply for
   * example during quiescent points between multithreaded computations. If there are updates
   * concurrent with this method, the returned value is not guaranteed to be the final
   * value occurring before the reset.
   *
   * @return the sum

  public static HostSpecifier from(String specifier) throws ParseException {
    try {
      return fromValid(specifier);
    } catch (IllegalArgumentException e) {
      // Since the IAE can originate at several different points inside
      // fromValid(), we implement this method in terms of that one rather
      // than the reverse.

      ParseException parseException = new ParseException("Invalid host specifier: " + specifier, 0);