diff --git a/src/main/java/org/apache/commons/math4/fitting/leastsquares/GaussNewtonOptimizer.java b/src/main/java/org/apache/commons/math4/fitting/leastsquares/GaussNewtonOptimizer.java
index 24589ab20..8ef5c89e2 100644
--- a/src/main/java/org/apache/commons/math4/fitting/leastsquares/GaussNewtonOptimizer.java
+++ b/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) {
diff --git a/src/main/java/org/apache/commons/math4/geometry/spherical/oned/ArcsSet.java b/src/main/java/org/apache/commons/math4/geometry/spherical/oned/ArcsSet.java
index 3db15a3e5..295509001 100644
--- a/src/main/java/org/apache/commons/math4/geometry/spherical/oned/ArcsSet.java
+++ b/src/main/java/org/apache/commons/math4/geometry/spherical/oned/ArcsSet.java
@@ -838,7 +838,7 @@ public class ArcsSet extends AbstractRegion 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.
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 diff --git a/src/main/java/org/apache/commons/math4/linear/MatrixUtils.java b/src/main/java/org/apache/commons/math4/linear/MatrixUtils.java index 1f97a5e0d..04daf9432 100644 --- a/src/main/java/org/apache/commons/math4/linear/MatrixUtils.java +++ b/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. *
The type of matrix returned depends on the dimension. Below * 212 elements (i.e. 4096 elements or 64×64 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. *
The type of matrix returned depends on the dimension. Below * 212 elements (i.e. 4096 elements or 64×64 for a diff --git a/src/main/java/org/apache/commons/math4/optim/nonlinear/scalar/noderiv/BOBYQAOptimizer.java b/src/main/java/org/apache/commons/math4/optim/nonlinear/scalar/noderiv/BOBYQAOptimizer.java index 4366b1528..26f6be1cc 100644 --- a/src/main/java/org/apache/commons/math4/optim/nonlinear/scalar/noderiv/BOBYQAOptimizer.java +++ b/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; diff --git a/src/main/java/org/apache/commons/math4/stat/descriptive/moment/Variance.java b/src/main/java/org/apache/commons/math4/stat/descriptive/moment/Variance.java index ebed82f6d..7dfab7d73 100644 --- a/src/main/java/org/apache/commons/math4/stat/descriptive/moment/Variance.java +++ b/src/main/java/org/apache/commons/math4/stat/descriptive/moment/Variance.java @@ -333,7 +333,7 @@ public class Variance extends AbstractStorelessUnivariateStatistic implements Se /** *
- * Returns the weighted variance of the entries in the the input array.
+ * Returns the weighted variance of the entries in the input array. ** Uses the formula
* Σ(weights[i]*(values[i] - weightedMean)2)/(Σ(weights[i]) - 1)
diff --git a/src/main/java/org/apache/commons/math4/stat/descriptive/summary/Sum.java b/src/main/java/org/apache/commons/math4/stat/descriptive/summary/Sum.java
index e112b5e0f..19e859c0e 100644
--- a/src/main/java/org/apache/commons/math4/stat/descriptive/summary/Sum.java
+++ b/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.
*
* Throws MathIllegalArgumentException
if any of the following are true:
*
- the values array is null
diff --git a/src/main/java/org/apache/commons/math4/stat/inference/ChiSquareTest.java b/src/main/java/org/apache/commons/math4/stat/inference/ChiSquareTest.java
index d8649d16f..bdcac6606 100644
--- a/src/main/java/org/apache/commons/math4/stat/inference/ChiSquareTest.java
+++ b/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 observed1
or
* observed2
are negative
* @throws ZeroException if either all counts of observed1
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 observed1
or
* observed2
are negative
* @throws ZeroException if either all counts of observed1
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 observed1
or
* observed2
are negative
* @throws ZeroException if either all counts of observed1
or
diff --git a/src/main/java/org/apache/commons/math4/stat/inference/GTest.java b/src/main/java/org/apache/commons/math4/stat/inference/GTest.java
index 57d559522..28d42ce4a 100644
--- a/src/main/java/org/apache/commons/math4/stat/inference/GTest.java
+++ b/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
diff --git a/src/main/java/org/apache/commons/math4/util/FastMath.java b/src/main/java/org/apache/commons/math4/util/FastMath.java
index aaa69bee6..4d0568a32 100644
--- a/src/main/java/org/apache/commons/math4/util/FastMath.java
+++ b/src/main/java/org/apache/commons/math4/util/FastMath.java
@@ -41,7 +41,7 @@ import org.apache.commons.math4.exception.util.LocalizedFormats;
*
* 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