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<document url="index.html">
  <properties>
    <title>The Commons Math User Guide - Table of Contents</title>
  </properties>

  <body>
      <section name="Table of Contents" href="toc">

        <ul>
          <li><a href="overview.html">0. Overview</a>
            <ul>
              <li><a href="overview.html#a0.1_About_the_User_Guide">0.1 About the User Guide</a></li>
              <li><a href="overview.html#a0.2_Whats_in_commons-math">0.2 What's in commons-math</a></li>
              <li><a href="overview.html#a0.3_How_commons-math_is_organized">0.3 How commons-math is organized</a></li>
              <li><a href="overview.html#a0.4_How_interface_contracts_are_specified_in_commons-math_javadoc">0.4 How interface contracts are specified in commons-math javadoc</a></li>
              <li><a href="overview.html#a0.5_Dependencies">0.5 Dependencies</a></li>
            </ul></li>

           <li><a href="stat.html">1. Statistics</a>
                <ul>
                <li><a href="stat.html#a1.1_Overview">1.1 Overview</a></li>
                <li><a href="stat.html#a1.2_Descriptive_statistics">1.2 Descriptive statistics</a></li>
                <li><a href="stat.html#a1.3_Frequency_distributions">1.3 Frequency distributions</a></li>
                <li><a href="stat.html#a1.4_Simple_regression">1.4 Simple regression</a></li>
                <li><a href="stat.html#a1.5_Multiple_linear_regression">1.5 Multiple Regression</a></li>
                <li><a href="stat.html#a1.6_Rank_transformations">1.6 Rank transformations</a></li>
                <li><a href="stat.html#a1.7_Covariance_and_correlation">1.7 Covariance and correlation</a></li>
                <li><a href="stat.html#a1.8_Statistical_tests">1.8 Statistical Tests</a></li>
                </ul></li>
            <li><a href="random.html">2. Data Generation</a>
                <ul>
                <li><a href="random.html#a2.1_Overview">2.1 Overview</a></li>
                <li><a href="random.html#a2.2_Correlated_random_vectors">2.2 Correlated random vectors</a></li>
                <li><a href="random.html#a2.3_Low_discrepancy_sequences">2.3 Low discrepancy sequences</a></li>
                </ul></li>
            <li><a href="linear.html">3. Linear Algebra</a>
                <ul>
                <li><a href="linear.html#a3.1_Overview">3.1 Overview</a></li>
                <li><a href="linear.html#a3.2_Real_matrices">3.2 Real matrices</a></li>
                <li><a href="linear.html#a3.3_Real_vectors">3.3 Real vectors</a></li>
                <li><a href="linear.html#a3.4_Solving_linear_systems">3.4 Solving linear systems</a></li>
                <li><a href="linear.html#a3.5_Eigenvalueseigenvectors_and_singular_valuessingular_vectors">3.5 Eigenvalues/eigenvectors and singular values/singular vectors</a></li>
                <li><a href="linear.html#a3.6_Non-real_fields_complex_fractions_...">3.6 Non-real fields (complex, fractions ...)</a></li>
                </ul></li>
            <li><a href="analysis.html">4. Numerical Analysis</a>
                <ul>
                <li><a href="analysis.html#a4.1_Overview">4.1 Overview</a></li>
                <li><a href="analysis.html#a4.2_Error-handling">4.2 Error handling</a></li>
                <li><a href="analysis.html#a4.3_Root-finding">4.3 Root-finding</a></li>
                <li><a href="analysis.html#a4.4_Interpolation">4.4 Interpolation</a></li>
                <li><a href="analysis.html#a4.5_Integration">4.5 Integration</a></li>
                <li><a href="analysis.html#a4.6_Polynomials">4.6 Polynomials</a></li>
                <li><a href="analysis.html#a4.7_Differentiation">4.7 Differentiation</a></li>
                </ul></li>
            <li><a href="special.html">5. Special Functions</a>
                <ul>
                <li><a href="special.html#a5.1_Overview">5.1 Overview</a></li>
                </ul></li>
        <li><a href="utilities.html">6. Utilities</a>
                <ul>
                <li><a href="utilities.html#a6.1_Overview">6.1 Overview</a></li>
                <li><a href="utilities.html#a6.2_Double_array_utilities">6.2 Double array utilities</a></li>
                <li><a href="utilities.html#a6.3_intdouble_hash_map">6.3 int/double hash map</a></li>
                <li><a href="utilities.html#a6.4_Continued_Fractions">6.4 Continued Fractions</a></li>
                <li><a href="utilities.html#a6.5_binomial_coefficients_factorials_Stirling_numbers_and_other_common_math_functions">6.5 Binomial coefficients, factorials, Stirling numbers and other common math functions</a></li>
                <li><a href="utilities.html#a6.6_fast_math">6.6 Fast mathematical functions</a></li>
                <li><a href="utilities.html#a6.7_miscellaneous">6.7 Miscellaneous</a></li>
                </ul></li>
        <li><a href="complex.html">7. Complex Numbers</a>
                <ul>
                <li><a href="complex.html#a7.1_Overview">7.1 Overview</a></li>
                </ul></li>
        <li><a href="distribution.html">8. Probability Distributions</a>
                <ul>
                <li><a href="distribution.html#a8.1_Overview">8.1 Overview</a></li>
                <li><a href="distribution.html#a8.2_Generating_data_like_an_input_file">8.2 Generating data 'like' an input file</a></li>
                </ul></li>
        <li><a href="fraction.html">9. Fractions</a>
                <ul>
                <li><a href="fraction.html#a9.1_Overview">9.1 Overview</a></li>
                </ul></li>
        <li><a href="transform.html">10. Transforms</a></li>
        <li><a href="geometry.html">11. Geometry</a>
                <ul>
                <li><a href="geometry.html#a11.1_Overview">11.1 Overview</a></li>
                </ul></li>
        <li><a href="optimization.html">12. Optimization</a>
                <ul>
                <li><a href="optimization.html#a12.1_Overview">12.1 Overview</a></li>
                <li><a href="optimization.html#a12.2_Univariate_Functions">12.2 Univariate Functions</a></li>
                <li><a href="optimization.html#a12.3_Linear_Programming">12.3 Linear Programming</a></li>
                <li><a href="optimization.html#a12.4_Direct_Methods">12.4 Direct Methods</a></li>
                <li><a href="optimization.html#a12.5_General_Case">12.5 General Case</a></li>
                </ul></li>
        <li><a href="fitting.html">13. Curve Fitting</a>
          <ul>
            <li><a href="fitting.html#a13.1_Overview">13.1 Overview</a></li>
            <li><a href="fitting.html#a13.2_Implemented_Functions">13.2 Implemented Functions</a></li>
            <li><a href="fitting.html#a13.3_General_Case">13.3 General Case</a></li>
          </ul>
        </li>
        <li><a href="leastsquares.html">14. Least Squares</a>
          <ul>
            <li><a href="fitting.html#a14.1_Overview">14.1 Overview</a></li>
            <li><a href="fitting.html#a14.2_LeastSquaresBuilder_and_LeastSquaresFactory">14.2 LeastSquaresBuilder and LeastSquaresFactory</a></li>
            <li><a href="fitting.html#a14.3_Model_Function">14.3 Model Function</a></li>
            <li><a href="fitting.html#a14.4_Parameters_Validation">14.4 Parameters Validation</a></li>
            <li><a href="fitting.html#a14.5_Tuning">14.5 Tuning</a></li>
            <li><a href="fitting.html#a14.6_Optimization_Engine">14.6 Optimization Engine</a></li>
            <li><a href="fitting.html#a14.7_Solving">14.7 Solving</a></li>
            <li><a href="fitting.html#a14.8_Example">14.8 Example</a></li>
          </ul>
        </li>
        <li><a href="ode.html">15. Ordinary Differential Equations Integration</a>
                <ul>
                <li><a href="ode.html#a15.1_Overview">15.1 Overview</a></li>
                <li><a href="ode.html#a15.2_Continuous_Output">15.2 Continuous Output</a></li>
                <li><a href="ode.html#a15.3_Discrete_Events_Handling">15.3 Discrete Events Handling</a></li>
                <li><a href="ode.html#a15.4_Available_Integrators">15.4 Available Integrators</a></li>
                <li><a href="ode.html#a15.5_Derivatives">15.5 Derivatives</a></li>
                </ul></li>
        <li><a href="genetics.html">16. Genetic Algorithms</a>
                <ul>
                <li><a href="genetics.html#a16.1_Overview">16.1 Overview</a></li>
                <li><a href="genetics.html#a16.2_GA_Framework">16.2 GA Framework</a></li>
                <li><a href="genetics.html#a16.3_Implementation">16.3 Implementation and Examples</a></li>
        </ul></li>
        <li><a href="filter.html">17. Filters</a>
          <ul>
            <li><a href="filter.html#a17.1_Overview">17.1 Overview</a></li>
            <li><a href="filter.html#a17.2_Kalman_Filter">17.2 Kalman Filter</a></li>
          </ul>
        </li>
        <li><a href="ml.html">18. Machine Learning</a>
          <ul>
            <li><a href="ml.html#overview">18.1 Overview</a></li>
            <li><a href="ml.html#clustering">18.2 Clustering algorithms and distance measures</a></li>
            <li><a href="ml.html#implementation">18.3 Implementation</a></li>
          </ul>
        </li>
        <li><a href="exceptions.html">19. Exceptions</a>
          <ul>
            <li><a href="exceptions.html#a19.1_Overview">19.1 Overview</a></li>
            <li><a href="exceptions.html#a19.2_Unchecked_Exceptions">19.2 Unchecked Exceptions</a></li>
            <li><a href="exceptions.html#a19.3_Hierarchies">19.3 Hierarchies</a></li>
            <li><a href="exceptions.html#a19.4_Features">19.4 Features</a></li>
          </ul>
        </li>
        </ul>
      </section>

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