The the patrol.

src/main/java/org/apache/commons/math4/fitting/leastsquares/GaussNewtonOptimizer.java

@@ -279,7 +279,7 @@ public class GaussNewtonOptimizer implements LeastSquaresOptimizer {
                         residuals.getEntry(i) * jacobian.getEntry(i, j));
             }
 
-            // add the the contribution to the normal matrix for measurement i
+            // add the contribution to the normal matrix for measurement i
             for (int k = 0; k < nC; ++k) {
                 //only compute the upper triangular part
                 for (int l = k; l < nC; ++l) {

src/main/java/org/apache/commons/math4/geometry/spherical/oned/ArcsSet.java

@@ -838,7 +838,7 @@ public class ArcsSet extends AbstractRegion<Sphere1D, Sphere1D> implements Itera
                         limits.remove(i);
                         i = i - 1;
                     } else {
-                        // special case, i the the last entry and j is the first entry
+                        // special case, i the last entry and j is the first entry
                         // we have wrapped around list end
                         final double lEnd   = limits.remove(limits.size() - 1);
                         final double lStart = limits.remove(0);

src/main/java/org/apache/commons/math4/geometry/spherical/twod/Circle.java

@@ -32,7 +32,7 @@ import org.apache.commons.math4.util.FastMath;
 /** This class represents an oriented great circle on the 2-sphere.
 
  * <p>An oriented circle can be defined by a center point. The circle
- * is the the set of points that are in the normal plan the center.</p>
+ * is the set of points that are in the normal plan the center.</p>
 
  * <p>Since it is oriented the two spherical caps at its two sides are
  * unambiguously identified as a left cap and a right cap. This can be

src/main/java/org/apache/commons/math4/linear/MatrixUtils.java

@@ -105,7 +105,7 @@ public class MatrixUtils {
     }
 
     /**
-     * Returns a {@link RealMatrix} whose entries are the the values in the
+     * Returns a {@link RealMatrix} whose entries are the values in the
      * the input array.
      * <p>The type of matrix returned depends on the dimension. Below
      * 2<sup>12</sup> elements (i.e. 4096 elements or 64&times;64 for a
@@ -136,7 +136,7 @@ public class MatrixUtils {
     }
 
     /**
-     * Returns a {@link FieldMatrix} whose entries are the the values in the
+     * Returns a {@link FieldMatrix} whose entries are the values in the
      * the input array.
      * <p>The type of matrix returned depends on the dimension. Below
      * 2<sup>12</sup> elements (i.e. 4096 elements or 64&times;64 for a

src/main/java/org/apache/commons/math4/optim/nonlinear/scalar/noderiv/BOBYQAOptimizer.java

@@ -1913,7 +1913,7 @@ public class BOBYQAOptimizer
 
             // Multiply the search direction by the second derivative matrix of Q and
             // calculate some scalars for the choice of steplength. Then set BLEN to
-            // the length of the the step to the trust region boundary and STPLEN to
+            // the length of the step to the trust region boundary and STPLEN to
             // the steplength, ignoring the simple bounds.
 
             state = 210; break;

src/main/java/org/apache/commons/math4/stat/descriptive/moment/Variance.java

@@ -333,7 +333,7 @@ public class Variance extends AbstractStorelessUnivariateStatistic implements Se
 
     /**
      * <p>
-     * Returns the weighted variance of the entries in the the input array.</p>
+     * Returns the weighted variance of the entries in the input array.</p>
      * <p>
      * Uses the formula <div style="white-space:pre"><code>
      *   &Sigma;(weights[i]*(values[i] - weightedMean)<sup>2</sup>)/(&Sigma;(weights[i]) - 1)

src/main/java/org/apache/commons/math4/stat/descriptive/summary/Sum.java

@@ -170,7 +170,7 @@ public class Sum extends AbstractStorelessUnivariateStatistic implements Seriali
     }
 
     /**
-     * The weighted sum of the entries in the the input array.
+     * The weighted sum of the entries in the input array.
      * <p>
      * Throws <code>MathIllegalArgumentException</code> if any of the following are true:
      * <ul><li>the values array is null</li>

src/main/java/org/apache/commons/math4/stat/inference/ChiSquareTest.java

@@ -399,7 +399,7 @@ public class ChiSquareTest {
      * @param observed1 array of observed frequency counts of the first data set
      * @param observed2 array of observed frequency counts of the second data set
      * @return chiSquare test statistic
-     * @throws DimensionMismatchException the the length of the arrays does not match
+     * @throws DimensionMismatchException the length of the arrays does not match
      * @throws NotPositiveException if any entries in <code>observed1</code> or
      * <code>observed2</code> are negative
      * @throws ZeroException if either all counts of <code>observed1</code> or
@@ -495,7 +495,7 @@ public class ChiSquareTest {
      * @param observed1 array of observed frequency counts of the first data set
      * @param observed2 array of observed frequency counts of the second data set
      * @return p-value
-     * @throws DimensionMismatchException the the length of the arrays does not match
+     * @throws DimensionMismatchException the length of the arrays does not match
      * @throws NotPositiveException if any entries in <code>observed1</code> or
      * <code>observed2</code> are negative
      * @throws ZeroException if either all counts of <code>observed1</code> or
@@ -548,7 +548,7 @@ public class ChiSquareTest {
      * @param alpha significance level of the test
      * @return true iff null hypothesis can be rejected with confidence
      * 1 - alpha
-     * @throws DimensionMismatchException the the length of the arrays does not match
+     * @throws DimensionMismatchException the length of the arrays does not match
      * @throws NotPositiveException if any entries in <code>observed1</code> or
      * <code>observed2</code> are negative
      * @throws ZeroException if either all counts of <code>observed1</code> or

src/main/java/org/apache/commons/math4/stat/inference/GTest.java

@@ -336,7 +336,7 @@ public class GTest {
      * @param observed2 array of observed frequency counts of the second data
      * set
      * @return G-Test statistic
-     * @throws DimensionMismatchException the the lengths of the arrays do not
+     * @throws DimensionMismatchException the lengths of the arrays do not
      * match or their common length is less than 2
      * @throws NotPositiveException if any entry in {@code observed1} or
      * {@code observed2} is negative
@@ -458,7 +458,7 @@ public class GTest {
      * @param observed2 array of observed frequency counts of the second data
      * set
      * @return p-value
-     * @throws DimensionMismatchException the the length of the arrays does not
+     * @throws DimensionMismatchException the length of the arrays does not
      * match or their common length is less than 2
      * @throws NotPositiveException if any of the entries in {@code observed1} or
      * {@code observed2} are negative
@@ -511,7 +511,7 @@ public class GTest {
      * @param alpha significance level of the test
      * @return true iff null hypothesis can be rejected with confidence 1 -
      * alpha
-     * @throws DimensionMismatchException the the length of the arrays does not
+     * @throws DimensionMismatchException the length of the arrays does not
      * match
      * @throws NotPositiveException if any of the entries in {@code observed1} or
      * {@code observed2} are negative

src/main/java/org/apache/commons/math4/util/FastMath.java

@@ -41,7 +41,7 @@ import org.apache.commons.math4.exception.util.LocalizedFormats;
  * <p>
  * Note that FastMath is
  * extensively used inside Apache Commons Math, so by calling some algorithms,
- * the overhead when the the tables need to be initialized will occur
+ * the overhead when the tables need to be initialized will occur
  * regardless of the end-user calling FastMath methods directly or not.
  * Performance figures for a specific JVM and hardware can be evaluated by
  * running the FastMathTestPerformance tests in the test directory of the source