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The Apache Commons Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.

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/*
 * Licensed to the Apache Software Foundation (ASF) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * The ASF licenses this file to You under the Apache License, Version 2.0
 * (the "License"); you may not use this file except in compliance with
 * the License.  You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.apache.commons.math3.analysis;

/**
 * Extension of {@link MultivariateFunction} representing a differentiable
 * multivariate real function.
 * @since 2.0
 * @deprecated as of 3.1 replaced by {@link org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableFunction}
 */
@Deprecated
public interface DifferentiableMultivariateFunction extends MultivariateFunction {

    /**
     * Returns the partial derivative of the function with respect to a point coordinate.
     * 

* The partial derivative is defined with respect to point coordinate * xk. If the partial derivatives with respect to all coordinates are * needed, it may be more efficient to use the {@link #gradient()} method which will * compute them all at once. *

* @param k index of the coordinate with respect to which the partial * derivative is computed * @return the partial derivative function with respect to kth point coordinate */ MultivariateFunction partialDerivative(int k); /** * Returns the gradient function. *

If only one partial derivative with respect to a specific coordinate is * needed, it may be more efficient to use the {@link #partialDerivative(int)} method * which will compute only the specified component.

* @return the gradient function */ MultivariateVectorFunction gradient(); }




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