diff --git a/RELEASE-NOTES.txt b/RELEASE-NOTES.txt
index 0942f0041..2d7881e6b 100644
--- a/RELEASE-NOTES.txt
+++ b/RELEASE-NOTES.txt
@@ -1,448 +1,120 @@
+
- Apache Commons Math Version 2.0
- RELEASE NOTES
+ commons-math-2.1 RELEASE NOTES
+This is a maintenance release including numerous bug fixes and enhancements.
-This is a major release. It combines bug fixes, new features and
-changes to existing features. Most notable among the new features are:
- - decomposition algorithms in the linear algebra package (LU, QR, Cholesky,
- SVD, eigen decomposition) which are based on the popular JAMA API (but
- much faster),
- - support for sparse matrices and vectors,
- - support for any field-based matrix (Complex, Fraction ...),
- - support for genetic algorithms
- - several new optimization algorithms (Dantzig's simplex for linear
- constrained problems, conjugate gradient, Brent)
- - support for curve fitting with special cases for harmonic and polynomial
- functions
- - support for state derivative in ODE step handlers
- - new multistep integrators (Adams-Bashforth and Adams-Moulton) with
- variable stepsize
- - regression algorithms
- - rank transformations
- - Mersenne twister pseudo random number generator
-
-This release is NOT source and binary compatible with earlier versions
-of Commons Math. Starting with version 2.0 of the library, the minimal
-version of the Java platform required to compile and use commons-math
-is Java 5. Users are encouraged to upgrade to this version, as in addition
-to new features, this release includes numerous bug fixes. Users of
-Commons Math 1.0-1.2 should recompile their code against the 2.0 jar.
-Most of the compilation errors users will encounter after the switch
-will be due to classes moved due to package reorganization. These errors
-are simply solved by adjusting the import statements in users code.
-Users can ask for help with migration or any other problem related
-to commons math by sending a message to the apache commons users
-mailing list: user@commons.apache.org.
-
-
- SUMMARY OF CHANGES
+Changes in this version include:
New features:
-
-o Added curve fitting with a general case and two specific cases
- (polynomial and harmonic).
-
-o Added a way to limit the number of functions evaluations in
- optimizers (the number of iterations could already be limited)
- Thanks to Gilles Sadowski.
-
-o Added support for rank transformations.
-
-o Added an implementation of the Mersenne twister pseudo random number
- generator from Makoto Matsumoto and Takuji Nishimura
-
-o Added support for any type of field in linear algebra (FielxMatrix,
- FieldVector, FieldLUDecomposition)
-
-o The RealMatrixImpl implementation classes has been renamed
- Array2DRowRealMatrix to reflect its specificities and for
- consistency with the new implementations. The previous name is still
- available but is deprecated
-
-o Added a block-based storage type for dense matrices improving speed
- for large dimensions
-
-o Added AggregateSummaryStatistics class to support aggregation of
- SummaryStatistics. Thanks to John Bollinger.
-
-o Added general Field and FieldElement interfaces to allow generic
- algorithms to operate on fields. The library already provides
- several implementations: Complex, Fraction, BigFraction and BigReal
-
-o Added a SparseRealVector class that implements a sparse vector for
- the RealVector interface.
-
-o Added a getCovariance method to singular value decomposition Thanks
- to Dimitri Pourbaix.
-
-o Added method to walk matrix entries with or without changing them in
- the visitor design pattern sense. Three different orders can be
- used, row by row, column by column or optimized order according to
- internal storage. Optimized order should be preferred when no
- specific order is needed, because it will be more cache efficient.
-
-o Added an int/double hash map (OpenIntToDoubleHashMap) with much
- smaller memory overhead than standard java.util.Map (open addressing
- and no boxing). Thanks to Ismael Juma.
-
-o Support for one dimensional vectors has been added to the linear
- algebra package with a RealVector interface, a RealVectorImpl
- default implementation using a single double array to store elements
- and a RealVectorFormat for input/output. Thanks to Andreas Rieger.
-
-o New ODE integrators have been added: the explicit Adams-Bashforth
- and implicit Adams-Moulton multistep methods. As the implementations
- of these methods are based on Nordsieck vector rather than a
- traditional array of previous steps, they both have been improved to
- handle adaptive stepsize. These methods provide the same rich
- features has the existing ones: continuous output, step handlers,
- discrete events, G-stop ...
-
-o All ODE integrators now support setting a maximal number of
- evaluations of differential equations function. If this number is
- exceeded, an exception will be thrown during integration. This can
- be used to prevent infinite loops if for example error control or
- discrete events create a really large number of extremely small
- steps.
-
-o All step interpolators for ODE integrators now provide interpolation
- for both the state and its time derivatives. The interpolated
- derivatives are the exact derivatives of the interpolated state,
- thus preserving consistency. The general step handlers hence do not
- need to call the derivation function anymore. The fixed step
- handlers also get the time derivative of the state as an additional
- argument along with the state when they are called.
-
-o Switching functions can now throw dedicated SwitchException from all
- their method. At upper call level, the various ODE integrators
- handle these new exceptions and wrap them into IntegratorException
- instances, hence the integrators methods signature did not change.
-
-o Added factory methods to create Chebyshev, Hermite, Laguerre and
- Legendre polynomials.
-
-o Added add, subtract, negate, multiply and toString methods to
- PolynomialFunction.
-
-o Added a Legendre-Gauss integrator.
-
-o Added add/subtract/multiply/divide functions with integer parameters
- to Fraction
-
-o Added some utility functions to compute powers with integral types
- (int, long, BigInteger).
-
-o Added a scalb method in MathUtils. This method is similar to the
- method with same name added in java.lang.Math as of Java 6.
-
-o Added several convenience methods and constants for Vector3D and
- Rotation.
-
-o MATH-114: Added PearsonsCorrelation class to compute correlation
- matrices, standard errors and p-values for correlation
- coefficients. Thanks to John Gant.
-
-o MATH-114: Added Covariance class to compute variance-covariance
- matrices in new correlation package.
-
-o MATH-136: Added Spearman's rank correlation
- (SpearmansCorrelation). Thanks to John Gant.
-
-o MATH-152: Added support for multi-dimensional Fourier
- transform. Thanks to Remi Arntzen.
-
-o MATH-177: Added a new univariate sub-package below the optimization
- package. Thanks to Gilles Sadowski.
-
-o MATH-178: Added support for the Zipf distribution. Thanks to Paul
- Cowan.
-
-o MATH-202: Added the getSwitchingFunctions and
- clearSwitchingFunctions to the FirstOrderIntegrator interface and
- all its implementations
-
-o MATH-203: Added Mauro's patch to support multiple regression. Thanks
- to Mauro Talevi.
-
-o MATH-212: Added support for copying statistics. Changes to stats
- classes include copy constructor, static copy(-,-) and instance
- copy() methods. Added copy() to UnivariateStatistic and
- StorelessUnivariateStatistic interfaces. Thanks to Jason
- C. HandUber.
-
-o MATH-215: Added Fast Hadamard Transform. Thanks to Bernhard
- Grünewaldt.
-
-o MATH-219: Added removeData methods for the SimpleRegression
- class. This allows to support regression calculations across a
- sliding window of (time-based) observations without having to
- recalculate for the entire window every time. Thanks to Andrew
- Berry.
-
-o MATH-220: Added JAMA-like interfaces for eigen/singular
- problems. The implementation are based on the very quick dqd/dqds
- algorithms and some parts of the MRRR algorithm. This leads to very
- fast and accurate solutions.
-
-o MATH-220: Added JAMA-like interfaces for decomposition
- algorithms. These interfaces decompose a matrix as a product of
- several other matrices with predefined properties and shapes
- depending on the algorithm. These algorithms allow to solve the
- equation A * X = B, either for an exact linear solution
- (LU-decomposition, Cholesky decomposition) or an exact or
- least-squares solution (QR-decomposition).
-
-o MATH-222: Added beta distribution. Thanks to Ted Dunning.
-
-o MATH-222: Added probability density functions computation for
- distributions for which it is feasible. Thanks to Ted Dunning.
-
-o MATH-229: Added a removal feature for observations in descriptive
- statistics. Thanks to Cyril Briquet.
-
-o MATH-230: Added support for sparse matrix. Thanks to Sujit Pal and
- Ismael Juma.
-
-o MATH-231: Added an abstract matrix implementation simplifying
- extension by users.
-
-o MATH-232: Added Frobenius matrix norm.
-
-o MATH-234: Added setter methods for rows and columns in matrices.
-
-o MATH-236: Added nth root computation for complex numbers. Thanks to
- Bernhard Grünewaldt.
-
-o MATH-246: Added an optimizer for constrained linear problems based
- on 2-phases standard simplex. Thanks to Benjamin McCann.
-
-o MATH-247: Added a MathUtils method to check equality given some
- error bounds. Thanks to Benjamin McCann.
-
-o MATH-251: Added a BigFraction class that does not overflow when big
- numerators or denominators are used. Thanks to Benjamin Croizet.
-
-o MATH-256: Added Fraction.toString()
-
-o MATH-266: Added a clustering package with an implementation of the
- k-means++ algorithm Thanks to Benjamin McCann.
-
-o MATH-267: Added digamma function. Thanks to Ted Dunning.
-
-o MATH-277: Added a scalar multiply to the Complex class Thanks to
- Mark Anderson.
-
-o MATH-278: Added robust locally weighted regression (Loess). Thanks
- to Eugene Kirpichov.
-
-o MATH-279: Added a check for too few rows with respect to the number
- of predictors in linear regression Thanks to Michael Bjorkegren.
+o Added a way to compute both the final state in an Initial Value Problem (IVP)
+ for Ordinary Differential Equations (ODE) and its derivatives with respect to
+ initial state and with respect to some problem parameters. This allows wrapping
+ ODE solvers into optimization or root finding algorithms, which in turn can be
+ used to solve Boundary Value Problems (BVP). There are no implementations (yet)
+ of BVP solvers in the library.
+o MATH-323: Added SemiVariance statistic. Thanks to Larry Diamond.
+o MATH-341: Added a warning in the getCoefficients method documentation for
+ PolynomialFunctionLagrangeForm. Computation may be ill-conditioned
+ so this method should be used with care.
+o MATH-340: Fixed an error in BigFraction multiplication for large numerators that don't
+ fit in a primitive int.
+o MATH-334: Added min/max getters for real vectors (not yet in the RealVector interface for
+ compatibility purposes, but in the AbstractRealVector abstract class).
+o MATH-321: Singular Value Decomposition now computes either the compact SVD (using only
+ positive singular values) or truncated SVD (using a user-specified maximal
+ number of singular values).
+o MATH-300: Added support for multidimensional interpolation using the robust microsphere algorithm. Thanks to Gilles Sadowski.
+o MATH-287: Added support for weighted descriptive statistics. Thanks to Matthew Rowles.
+o Added normalizeArray method to MathUtils.
Fixed Bugs:
-
-o Fixed an infinite loop encountered in some backward integration
- cases for ODE solvers. Thanks to Pascal Parraud.
-
-o Fixed inconsistencies in the naming scheme for static fields in
- Vector3D and Rotation with respect to the overall library.
-
-o MATH-177: Redesigned the optimization framework for a simpler yet
- more powerful API. Added non-linear conjugate gradient optimizer.
-
-o MATH-193: Javadoc and style fixes. Thanks to Michael Heuer and Sebb.
-
-o MATH-198: Added an error detection for missing imaginary character
- while parsing complex string Thanks to Frederick Salardi.
-
-o MATH-199: Detect numerical problems in Q.R decomposition for
- Levenberg-Marquardt estimator and report them appropriately Thanks
- to Mick.
-
-o MATH-200: Fixed several crashes in getCovariances() and
- guessParametersErrors() in AbstractEstimator when some parameters
- are bound. The methods now explicitly give result only about unbound
- parameters. Thanks to Plamen Petrov.
-
-o MATH-201: Fixed truncation error in t-test classes for large t
- values. Thanks to Peter Wyngaard.
-
-o MATH-204: Added root checks for the endpoints. Thanks to Mick.
-
-o MATH-205: Fixed formula in fast cosine transformer javadoc
- comments. Thanks to Roman Werpachowski.
-
-o MATH-207: Added Genetic Algorithm implementation. Thanks to David
- Stefka.
-
-o MATH-209: Fixed dimension error on output vector for the operate
- method in RealMatrixImpl and BigMatrixImpl classes. Thanks to Thomas
- Chust.
-
-o MATH-210: Changed return type for
- FirstOrderIntegrator.getSwitchingFunctions() to a collection of
- SwitchingFunction instances. This better suits the intended use of
- the method and fixes a visibility error since the previous return
- type referenced the package private SwitchState class.
-
-o MATH-213: Changed return type for FirstOrderIntegrator.integrate()
- to double in order to retrieve exact stop time. This allows to
- handle properly integration interruption due to an EventHandler
- instance asking to stop the integration when its associated event is
- triggered. The state was already set to the current state at
- interruption time, but it was difficult to get the corresponding
- time (it involved setting a step handler monitoring the last step
- specially).
-
-o MATH-214: Replaced size adjustment of all steps of fixed steps
- Runge-Kutta integrators by a truncation of the last step only.
-
-o MATH-216: Improved fast Fourier transform efficiency. Thanks to
- Cyril Briquet.
-
-o MATH-221: Changed the Complex.equals() method so that it considers
- +0 and -0 are equal, as required by IEEE-754 standard. Thanks to
- Dieter Roth.
-
-o MATH-223: Greatly improved QR-decomposition speed using transposed
- matrices internally. Thanks to John Mulcahy.
-
-o MATH-226: Fixed an error in CorrelatedRandomVectorGenerator leading
- to a component of the generated vector being constant. Thanks to
- Stuart Siegel.
-
-o MATH-227: Fixed F distribution inverse CDF computation for small
- denominator degrees of freedom. Thanks to Joerg Henning.
-
-o MATH-238: Fixed an error in gcd computation for large values. Thanks
- to Christian Semrau.
-
-o MATH-240: Fixed error in factorial computation for 17 <= n <= 20.
- Thanks to Christian Semrau.
-
-o MATH-241: Fixed error in binomial coefficient computation. Thanks to
- Christian Semrau.
-
-o MATH-243: Fixed an error in computing gcd and lcm for some extreme
- values at integer range boundaries. Thanks to Christian Semrau.
-
-o MATH-248: Greatly improved multiplication speed for sparse matrices
-
-o MATH-252: Fixed a comparison error when two different fractions
- evaluate to the same double due to limited precision.
-
-o MATH-253: Fixed threading issues with MathException and
- MathRuntimeException Thanks to Sebb.
-
-o MATH-254: Fixed threading issues with UnivariateRealSolverUtils
- factory Thanks to Sebb.
-
-o MATH-255: Reduced visibility of MessagesResources_fr.contents field
- to private Thanks to Sebb.
-
-o MATH-257: Fixed inconsistent access to multidimensional array in
- FastFourierTransformer Thanks to Sebb.
-
-o MATH-263: Added getNorm1, getNormInf, distance1 and distanceInf to
- the Vector3D class
-
-o MATH-264: Added an utility equality method between double numbers
- using tolerance in ulps (Units in Last Position) Thanks to Gilles
- Sadowski.
-
-o MATH-265: Added distance1, distance and distanceInf utility methods
- for double and int arrays in MathUtils Thanks to Benjamin McCann.
-
-o MATH-272: Fixed a problem when setting some variables (several
- variables were set instead of only one) Thanks to Benjamin McCann.
-
-o MATH-273: Fixed a wrong check for basic variables Thanks to Benjamin
- McCann.
-
-o MATH-274: Fixed detection of not positive definite matrices in
- Cholesky decomposition
-
-o MATH-280: The behavior of the bracket method in
- UnivariateRealSolverUtils has been changed to return successfully
- when a tentative bracketing interval has a root exactly at one of
- its end points. Previously, such intervals triggered an exception.
-
-o MATH-281: Fixed an error in RealMatrix javadoc
+o MATH-335: Fraction.hashCode() implementation was not fully consistent with Fraction.equals().
+ Changed hashCode() to use fields directly to agree with equals().
+o MATH-282: Resolved multiple problems leading to inaccuracy and/or failure to compute Normal,
+ ChiSquare and Poisson probabilities, Erf and Gamma functions. Made Brent solver
+ absolute accuracy configurable for all continuous distributions.
+o MATH-347: Fixed too stringent interval check in Brent solver: initial guess is now
+ allowed to be at either interval end
+o Fixed a problem with getInterpolatedDerivatives returning zero derivatives when
+ an ODE step handler is configured to not use interpolation. It now returns a
+ constant but non-zero value consistent with at least one point inside the step
+o MATH-344: Fixed wrong return values when enpoints are roots in Brent solver with
+ a user provided initial guess
+o MATH-343: Fixed a missing bracketing check of initial interval in Brent solver.
+o MATH-342: In SVD, the matrices passed to EigenDecomposition are now symmetric
+ by construction (rather than simply by definition). In EigenDecomposition,
+ once the tridiagonal form is obtained, the non-significant elements are
+ set to 0.
+o MATH-333: A EigenDecompositionImpl simplified makes it possible to compute
+ the SVD of a singular matrix (with the right number of elements in
+ the diagonal matrix) or a matrix with singular value(s) of multiplicity
+ greater than 1.
+o Fixed a spurious exception in EigenDecompositionImpl when a 3x3 block
+ had two identical eigenvalues.
+o MATH-338: Fixed automatic step initialization in embedded Runge-Kutta integrators.
+ The relative tolerance setting was never used, only the absolute tolerance
+ was used. Thanks to Vincent Morand.
+o MATH-329: Fixed regression in Frequency.getPct(Object) introduced in 2.0. Cumulative
+ percent was being returned for Object arguments in place of percent.
+o MATH-320: Fixed Singular Value Decomposition solving of singular systems.
+o MATH-326: Fixed a wrong implementation of the Linf norm in vectors. Thanks to Jake Mannix.
+o MATH-324: Fixed a convergence discrepancy with respect to theory in Gragg-Bulirsch-Stoer
+ integrator. Thanks to Vincent Morand.
+o Fixed a wrong dimension check in SVD solver. Thanks to Dimitri Pourbaix.
+o MATH-313: Added composition features for real functions. Thanks to Jake Mannix.
+o MATH-312: Added mapping and iteration methods to vectors. Provided a default implementation
+ for the numerous simple methods in the RealVectorInterface. Thanks to Jake Mannix.
+o MATH-322: Fixed an error in handling very close events in ODE integration.
+o MATH-305: Fixed an overflow error in MathUtils.distance that was causing KMeansPlusPlusClusterer
+ to fail with a NullPointerException when component distances between points
+ exceeded Integer.MAXVALUE. Thanks to Erik van Ingen.
+o MATH-318: Fixed an index computation error in eigen decomposition. Once again, kudos to Dimitri
+ for debugging this. Thanks to Dimitri Pourbaix.
+o MATH-308: Fixed an ArrayIndexOutOfBoundsException in eigen decomposition. Kudos to Dimitri
+ for debugging this, it was really difficult. Thanks to Dimitri Pourbaix.
+o MATH-309: Fixed parameter test in RandomDataImpl#nextExponential. The method now throws
+ IllegalArgumentException for mean = 0. Thanks to Mikkel Meyer Andersen.
+o MATH-306: Removed dead code from Complex#divide. Thanks to Joerg Huber.
+o MATH-294: Fixed implementation of RandomDataImpl#nextPoisson by implementing an alternative
+ algorithm for large means.
+o MATH-298: Fixed implementation of EmpiricalDistributionImpl#getUpperBounds to match
+ interface contract. Added getGeneratorUpperBounds method to
+ EmpiricalDistributionImpl providing previous behavior.
+o MATH-296: Fixed wrong results on Loess interpolation, also added a way to set weights
+ for smoothing and to ignore zero weights for coefficients computation Thanks to Eugene Kirpichov.
+o MATH-293: Fixed a OutOfBoundException in simplex solver when some constraints are tight. Thanks to Benjamin McCann.
+o MATH-291: Fixed misleading number formats in error messages for adaptive
+ stepsize integrators. Thanks to Sebb.
+o MATH-290: Fixed a NullPointerException in simplex solver when no solution is possible
+ and some constraints are negative. Thanks to Benjamin McCann.
+o MATH-289: Removed an unused argument in a private method in simplex solver.
+o MATH-288: Fixed an error induced by entries set to 0 in simplex solver. Thanks to Benjamin McCann.
+o MATH-286: Fixed an error leading the simplex solver to compute the right solution
+ but return another one. Thanks to Benjamin McCann.
+o MATH-283: Prevent infinite loops in multi-directional direct optimization method when
+ the start point is exactly at the optimal point. Thanks to Michael Nischt.
+o MATH-297: Prevent possible zero divides on eigenvectors of indefinite matrices Thanks to Axel Kramer.
Changes:
+o MATH-332: Added density functions to remaining continuous distributions (F, T, Weibull, Cauchy).
+ As of Math 2.1, all continuous distributions implement density functions. The HasDensity
+ interface has been deprecated and in version 3.0, density(double) will be added to the
+ ContinuousDistribution interface. Thanks to Mikkel Meyer Andersen.
+o MATH-337: Changed equals() methods to use instanceof check rather than catching ClassCastException;
+ this also allows some null checks to be omitted.
+o MATH-336: Removed unnecessary null checks in equals methods.
+o MATH-239: Added MathUtils methods to compute gcd and lcm for long arguments. Thanks to Christian Semrau.
+o MATH-287: Added support for weighted univariate statistics. Thanks to Matthew Rowles.
+o MATH-315: Added generationsEvolved property to GeneticAlgorithm to track the number of generations
+ evolved by the evolve() method before reaching the StoppingCondition. Thanks to Mikkel Meyer Andersen.
+o MATH-311: Changed probability calculations for Binomial, Poisson, and Hypergeometric
+ distributions to use Catherine Loader's saddle point approximations. Thanks to Nipun Jawalkar.
-o Changed the return type of the various interpolation algorithms to
- the specific implementation of UnivariateRealFunction each one uses
- Thanks to Gilles Sadowski.
-
-o Completed internationalization of all error messages
-
-o Integration algorithms now can have both relative and absolute
- accuracy settings.
-
-o The analysis package has been reorganized with several sub-packages.
-
-o The ODE integrators now support several step handlers at once,
- instead of just one. This is more consistent with event handlers
- management. The setStepHandler method has therefore been replaced
- by addStephandler, the getStepHandler method has been replaced by
- getStepHandlers which returns a Collection and a clearStepHandlers
- method has been added.
-
-o Events handlers in the ODE package now also provide the switching
- function variation (increasing/decreasing) when an event occurs
-
-o Clarified the ODE package by breaking in into several sub-packages
- and renaming classes (SwitchingFunctions/EventHandler,
- SwitchingFunctionsHandler/CombinedEventsManager)
-
-o The FirstOrderDifferentialEquations, FirstOrderIntegrator and
- FixedStepHandler interfaces now extends Serializable, allowing
- integrators, problems and handlers to be embedded into users
- Serializable classes.
-
-o Replaced public no argument constructors with IDENTITY or ZERO
- static instances for immutable classes Vector3D and Rotation.
-
-o Greatly improved RealMatrixImpl and BigMatrixImpl performances, both
- in terms of speed and in terms of temporary memory footprint.
-
-o Starting with version 2.0 of the library, the minimal version of the
- Java platform required to compile and use commons-math is Java 5.
- This version is widely deployed now on many systems. It brings
- new important features for specific mathematical developments, for
- example new functions (log10, cbrt, ulp, signum, cosh, sinh, tanh,
- hypot, expm1, log1p), autoboxing, MathContext or RoundingMode. It
- also brings important features for general development, for example
- enums, generics or annotations.
-
-o Removed deprecated features. This includes the following
- changes. Factory-based instantiation replaced by setter injection in
- 1.2 in several classes have been removed. Protected fields in
- matrices implementations have been declared final and
- private. Identity factory methods moved to MatrixUtils class have
- been removed. Complex utilities methods that have been superseded by
- Complex instance methods have been removed.
-
-o MATH-189: Changed FractionFormat to extend NumberFormat.
-
-o MATH-217: Changed OLS regression implementation added in MATH-203 to
- use QR decomposition to solve the normal equations.
-
-o MATH-218: The root solvers and the integrators now take the function
- to solve as a parameter to the solve/integrate methods, thus
- allowing to reuse the same solver/integrator for different
- functions.
-
-o MATH-242: Forced symmetry in binomialCoefficientLog and added test
- cases for MathUtils. Thanks to Christian Semrau.
-
-o MATH-276: Optimized Complex isNaN(), isInfinite() by moving
- computation to constructor. Thanks to Mark Anderson.
-
-
-For complete information on commons-math, including instructions on
-how to submit bug reports, patches, or suggestions for improvement,
-see the commons-math website:
+
+For complete information on commons-math, including instructions on how to submit bug reports,
+patches, or suggestions for improvement, see the commons-math website:
http://commons.apache.org/math/
+
+
diff --git a/src/site/xdoc/download_math.xml b/src/site/xdoc/download_math.xml
index 073e12c76..b5138ea1f 100644
--- a/src/site/xdoc/download_math.xml
+++ b/src/site/xdoc/download_math.xml
@@ -95,32 +95,32 @@ limitations under the License.
-