commons-math3-3.6.1-org.apache.commons.math3.analysis.differentiation-包下的接口-中英对照文档及源码赏析
commons-math3-3.6.1-org.apache.commons.math3.analysis.differentiation-包下的接口-中英对照文档及源码赏析
摘要:中英对照文档、源码赏析、org.apache.commons.math3.analysis.differentiation、MultivariateDifferentiableFunction、MultivariateDifferentiableVectorFunction、UnivariateDifferentiableFunction、UnivariateDifferentiableMatrixFunction、UnivariateDifferentiableVectorFunction、UnivariateFunctionDifferentiator、UnivariateMatrixFunctionDifferentiator、UnivariateVectorFunctionDifferentiator
完整中文文档、中英对照文档下载请移步:commons-math3-中文文档、中英对照文档-CSDN下载
1. 开源组件说明
jar包名称:commons-math3-3.6.1.jar
Maven 依赖:
<dependency><groupId>org.apache.commons</groupId><artifactId>commons-math3</artifactId><version>3.6.1</version>
</dependency>
完整中文文档、中英对照文档下载请移步:commons-math3-中文文档、中英对照文档-CSDN下载
本文介绍的接口:
MultivariateDifferentiableFunction
MultivariateDifferentiableVectorFunction
UnivariateDifferentiableFunction
UnivariateDifferentiableMatrixFunction
UnivariateDifferentiableVectorFunction
UnivariateFunctionDifferentiator
UnivariateMatrixFunctionDifferentiator
UnivariateVectorFunctionDifferentiator
接口 | 说明 |
---|---|
MultivariateDifferentiableFunction |
Extension of
MultivariateFunction representing a multivariate differentiable real function.
扩展多变量功能,代表多变量可分子实际功能。 |
MultivariateDifferentiableVectorFunction |
Extension of
MultivariateVectorFunction representing a multivariate differentiable vectorial function.
多元化函数的扩展代表多变量可分化界面函数。 |
UnivariateDifferentiableFunction |
Interface for univariate functions derivatives.
单变量函数衍生物的界面。 |
UnivariateDifferentiableMatrixFunction |
Extension of
UnivariateMatrixFunction representing a univariate differentiable matrix function.
延伸UnivariateMatrixFunction代表单变量可分辨率矩阵函数。 |
UnivariateDifferentiableVectorFunction |
Extension of
UnivariateVectorFunction representing a univariate differentiable vectorial function.
延伸非凡驾驶员函数代表单变量可分化的矢量函数。 |
UnivariateFunctionDifferentiator |
Interface defining the function differentiation operation.
接口定义功能差异化操作。 |
UnivariateMatrixFunctionDifferentiator |
Interface defining the function differentiation operation.
接口定义功能差异化操作。 |
UnivariateVectorFunctionDifferentiator |
Interface defining the function differentiation operation.
接口定义功能差异化操作。 |
2. org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableFunction
2.1. MultivariateDifferentiableFunction
中英对照文档
接口 MultivariateDifferentiableFunction
- All Superinterfaces:
-
MultivariateFunction
多变量功能
public interface MultivariateDifferentiableFunction extends MultivariateFunction
Extension ofMultivariateFunction
representing a multivariate differentiable real function.
扩展多变量功能,代表多变量可分子实际功能。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 DerivativeStructure
value(DerivativeStructure[] point)
Compute the value for the function at the given point.计算给定点的函数的值。
Methods inherited from interface org.apache.commons.math3.analysis.MultivariateFunction
value
方法详细说明
value
DerivativeStructure value(DerivativeStructure[] point)throws MathIllegalArgumentException
Compute the value for the function at the given point.计算给定点的函数的值。
- 参数:
-
point
- Point at which the function must be evaluated.点 - 必须评估功能的点。
- 返回:
-
the function value for the given point.
给定点的函数值。
- 抛出:
-
MathIllegalArgumentException
- ifpoint
does not satisfy the function's constraints (wrong dimension, argument out of bound, or unsupported derivative order for example)MathilleGalargumentException - 如果点不满足函数的约束(错误的维度,参数超出界限或不受支持的衍生顺序)
2.2. MultivariateDifferentiableFunction
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.MultivariateFunction;
import org.apache.commons.math3.exception.MathIllegalArgumentException;/*** Extension of {@link MultivariateFunction} representing a* multivariate differentiable real function.* @since 3.1*/
public interface MultivariateDifferentiableFunction extends MultivariateFunction {/*** Compute the value for the function at the given point.** @param point Point at which the function must be evaluated.* @return the function value for the given point.* @exception MathIllegalArgumentException if {@code point} does not* satisfy the function's constraints (wrong dimension, argument out of bound,* or unsupported derivative order for example)*/DerivativeStructure value(DerivativeStructure[] point)throws MathIllegalArgumentException;}
3. org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
3.1. MultivariateDifferentiableVectorFunction
中英对照文档
接口 MultivariateDifferentiableVectorFunction
- All Superinterfaces:
-
MultivariateVectorFunction
MultivariatevectorFunction.
public interface MultivariateDifferentiableVectorFunction extends MultivariateVectorFunction
Extension ofMultivariateVectorFunction
representing a multivariate differentiable vectorial function.多元化函数的扩展代表多变量可分化界面函数。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 DerivativeStructure[]
value(DerivativeStructure[] point)
Compute the value for the function at the given point.计算给定点的函数的值。
Methods inherited from interface org.apache.commons.math3.analysis.MultivariateVectorFunction
value
方法详细说明
value
DerivativeStructure[] value(DerivativeStructure[] point)throws MathIllegalArgumentException
Compute the value for the function at the given point.计算给定点的函数的值。
- 参数:
-
point
- point at which the function must be evaluated点 - 必须评估功能的点
- 返回:
-
function value for the given point
给定点的函数值
- 抛出:
-
MathIllegalArgumentException
- ifpoint
does not satisfy the function's constraints (wrong dimension, argument out of bound, or unsupported derivative order for example)MathilleGalargumentException - 如果点不满足函数的约束(错误的维度,参数超出界限或不受支持的衍生顺序)
3.2. MultivariateDifferentiableVectorFunction
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.MultivariateVectorFunction;
import org.apache.commons.math3.exception.MathIllegalArgumentException;/*** Extension of {@link MultivariateVectorFunction} representing a* multivariate differentiable vectorial function.* @since 3.1*/
public interface MultivariateDifferentiableVectorFunctionextends MultivariateVectorFunction {/*** Compute the value for the function at the given point.* @param point point at which the function must be evaluated* @return function value for the given point* @exception MathIllegalArgumentException if {@code point} does not* satisfy the function's constraints (wrong dimension, argument out of bound,* or unsupported derivative order for example)*/DerivativeStructure[] value(DerivativeStructure[] point)throws MathIllegalArgumentException;}
4. org.apache.commons.math3.analysis.differentiation.UnivariateDifferentiableFunction
4.1. UnivariateDifferentiableFunction
中英对照文档
接口 UnivariateDifferentiableFunction
- All Superinterfaces:
-
UnivariateFunction
非凡透明
- All Known Implementing Classes:
-
Acos, Acosh, Asin, Asinh, Atan, Atanh, Cbrt, Constant, Cos, Cosh, Exp, Expm1, Gaussian, HarmonicOscillator, Identity, Inverse, Log, Log10, Log1p, Logistic, Logit, Minus, PolynomialFunction, PolynomialFunctionNewtonForm, PolynomialSplineFunction, Power, Sigmoid, Sin, Sinc, Sinh, Sqrt, Tan, Tanh
ACOS,Acosh,Asin,Asinh,atan,atanh,cbrt,常数,cos,cosh,exp,expm1,高斯,Handoniccillator,身份,逆,日志,log10,log1p,Logistic,logit,minus,polynomialfunction,polynomialfunctionnewtonfunction,polynomialsplinefunction,权力,六粒子,罪恶,sinc,sinh,sqrt,棕褐色,塔尼
public interface UnivariateDifferentiableFunction extends UnivariateFunction
Interface for univariate functions derivatives.This interface represents a simple function which computes both the value and the first derivative of a mathematical function. The derivative is computed with respect to the input variable.
单变量函数衍生物的界面。该接口表示一个简单的功能,它计算数学函数的值和第一导数。衍生物相对于输入变量计算。
- 从以下版本开始:
-
3.1
3.1
- 另请参阅:
-
UnivariateDifferentiableFunction
,UnivariateFunctionDifferentiator
单偏见功能功能,单变性功能等值
方法概要
Methods
限定符和类型 方法和说明 DerivativeStructure
value(DerivativeStructure t)
Simple mathematical function.简单的数学函数。
Methods inherited from interface org.apache.commons.math3.analysis.UnivariateFunction
value
方法详细说明
value
DerivativeStructure value(DerivativeStructure t)throws DimensionMismatchException
Simple mathematical function.UnivariateDifferentiableFunction
classes compute both the value and the first derivative of the function.简单的数学函数。单变化的功能功能计算函数的值和第一个导数。
- 参数:
-
t
- function input valueT - 功能输入值
- 返回:
-
function result
功能结果
- 抛出:
-
DimensionMismatchException
- if t is inconsistent with the function's free parameters or orderDimensionMismatchException - 如果T与函数的免费参数或订单不一致
4.2. UnivariateDifferentiableFunction
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.UnivariateFunction;
import org.apache.commons.math3.exception.DimensionMismatchException;/** Interface for univariate functions derivatives.* <p>This interface represents a simple function which computes* both the value and the first derivative of a mathematical function.* The derivative is computed with respect to the input variable.</p>* @see UnivariateDifferentiableFunction* @see UnivariateFunctionDifferentiator* @since 3.1*/
public interface UnivariateDifferentiableFunction extends UnivariateFunction {/** Simple mathematical function.* <p>{@link UnivariateDifferentiableFunction} classes compute both the* value and the first derivative of the function.</p>* @param t function input value* @return function result* @exception DimensionMismatchException if t is inconsistent with the* function's free parameters or order*/DerivativeStructure value(DerivativeStructure t)throws DimensionMismatchException;}
5. org.apache.commons.math3.analysis.differentiation.UnivariateDifferentiableMatrixFunction
5.1. UnivariateDifferentiableMatrixFunction
中英对照文档
接口 UnivariateDifferentiableMatrixFunction
- All Superinterfaces:
-
UnivariateMatrixFunction
UnivariateMatrixFunction.
public interface UnivariateDifferentiableMatrixFunction extends UnivariateMatrixFunction
Extension ofUnivariateMatrixFunction
representing a univariate differentiable matrix function.延伸UnivariateMatrixFunction代表单变量可分辨率矩阵函数。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 DerivativeStructure[][]
value(DerivativeStructure x)
Compute the value for the function.计算函数的值。
Methods inherited from interface org.apache.commons.math3.analysis.UnivariateMatrixFunction
value
方法详细说明
value
DerivativeStructure[][] value(DerivativeStructure x)throws MathIllegalArgumentException
Compute the value for the function.计算函数的值。
- 参数:
-
x
- the point for which the function value should be computedX - 应计算函数值的点
- 返回:
-
the value
价值
- 抛出:
-
MathIllegalArgumentException
- ifx
does not satisfy the function's constraints (argument out of bound, or unsupported derivative order for example)mathillegalargumentException - 如果x不满足函数的约束(例如绑定或不支持的衍生顺序的参数)
5.2. UnivariateDifferentiableMatrixFunction
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.UnivariateMatrixFunction;
import org.apache.commons.math3.exception.MathIllegalArgumentException;/*** Extension of {@link UnivariateMatrixFunction} representing a univariate differentiable matrix function.** @since 3.1*/
public interface UnivariateDifferentiableMatrixFunctionextends UnivariateMatrixFunction {/*** Compute the value for the function.* @param x the point for which the function value should be computed* @return the value* @exception MathIllegalArgumentException if {@code x} does not* satisfy the function's constraints (argument out of bound, or unsupported* derivative order for example)*/DerivativeStructure[][] value(DerivativeStructure x) throws MathIllegalArgumentException;}
6. org.apache.commons.math3.analysis.differentiation.UnivariateDifferentiableVectorFunction
6.1. UnivariateDifferentiableVectorFunction
中英对照文档
接口 UnivariateDifferentiableVectorFunction
- All Superinterfaces:
-
UnivariateVectorFunction
UnivariatevectorFunction.
- All Known Implementing Classes:
-
HermiteInterpolator
Hermiteinterpolator.
public interface UnivariateDifferentiableVectorFunction extends UnivariateVectorFunction
Extension ofUnivariateVectorFunction
representing a univariate differentiable vectorial function.延伸非凡驾驶员函数代表单变量可分化的矢量函数。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 DerivativeStructure[]
value(DerivativeStructure x)
Compute the value for the function.计算函数的值。
Methods inherited from interface org.apache.commons.math3.analysis.UnivariateVectorFunction
value
方法详细说明
value
DerivativeStructure[] value(DerivativeStructure x)throws MathIllegalArgumentException
Compute the value for the function.计算函数的值。
- 参数:
-
x
- the point for which the function value should be computedX - 应计算函数值的点
- 返回:
-
the value
价值
- 抛出:
-
MathIllegalArgumentException
- ifx
does not satisfy the function's constraints (argument out of bound, or unsupported derivative order for example)mathillegalargumentException - 如果x不满足函数的约束(例如绑定或不支持的衍生顺序的参数)
6.2. UnivariateDifferentiableVectorFunction
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.UnivariateVectorFunction;
import org.apache.commons.math3.exception.MathIllegalArgumentException;/*** Extension of {@link UnivariateVectorFunction} representing a univariate differentiable vectorial function.** @since 3.1*/
public interface UnivariateDifferentiableVectorFunctionextends UnivariateVectorFunction {/*** Compute the value for the function.* @param x the point for which the function value should be computed* @return the value* @exception MathIllegalArgumentException if {@code x} does not* satisfy the function's constraints (argument out of bound, or unsupported* derivative order for example)*/DerivativeStructure[] value(DerivativeStructure x) throws MathIllegalArgumentException;}
7. org.apache.commons.math3.analysis.differentiation.UnivariateFunctionDifferentiator
7.1. UnivariateFunctionDifferentiator
中英对照文档
接口 UnivariateFunctionDifferentiator
- All Known Implementing Classes:
-
FiniteDifferencesDifferentiator
finitedifferencesdifferentiator.
public interface UnivariateFunctionDifferentiator
Interface defining the function differentiation operation.接口定义功能差异化操作。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 UnivariateDifferentiableFunction
differentiate(UnivariateFunction function)
Create an implementation of adifferential
from a regularfunction
.从常规功能创建差异的实现。
方法详细说明
differentiate
UnivariateDifferentiableFunction differentiate(UnivariateFunction function)
Create an implementation of adifferential
from a regularfunction
.从常规功能创建差异的实现。
- 参数:
-
function
- function to differentiate功能 - 函数来区分
- 返回:
-
differential function
差分功能
7.2. UnivariateFunctionDifferentiator
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.UnivariateFunction;/** Interface defining the function differentiation operation.* @since 3.1*/
public interface UnivariateFunctionDifferentiator {/** Create an implementation of a {@link UnivariateDifferentiableFunction* differential} from a regular {@link UnivariateFunction function}.* @param function function to differentiate* @return differential function*/UnivariateDifferentiableFunction differentiate(UnivariateFunction function);}
8. org.apache.commons.math3.analysis.differentiation.UnivariateMatrixFunctionDifferentiator
8.1. UnivariateMatrixFunctionDifferentiator
中英对照文档
接口 UnivariateMatrixFunctionDifferentiator
- All Known Implementing Classes:
-
FiniteDifferencesDifferentiator
finitedifferencesdifferentiator.
public interface UnivariateMatrixFunctionDifferentiator
Interface defining the function differentiation operation.接口定义功能差异化操作。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 UnivariateDifferentiableMatrixFunction
differentiate(UnivariateMatrixFunction function)
Create an implementation of adifferential
from a regularmatrix function
.从常规矩阵函数创建差异的实现。
方法详细说明
differentiate
UnivariateDifferentiableMatrixFunction differentiate(UnivariateMatrixFunction function)
Create an implementation of adifferential
from a regularmatrix function
.从常规矩阵函数创建差异的实现。
- 参数:
-
function
- function to differentiate功能 - 函数来区分
- 返回:
-
differential function
差分功能
8.2. UnivariateMatrixFunctionDifferentiator
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.UnivariateMatrixFunction;/** Interface defining the function differentiation operation.* @since 3.1*/
public interface UnivariateMatrixFunctionDifferentiator {/** Create an implementation of a {@link UnivariateDifferentiableMatrixFunction* differential} from a regular {@link UnivariateMatrixFunction matrix function}.* @param function function to differentiate* @return differential function*/UnivariateDifferentiableMatrixFunction differentiate(UnivariateMatrixFunction function);}
9. org.apache.commons.math3.analysis.differentiation.UnivariateVectorFunctionDifferentiator
9.1. UnivariateVectorFunctionDifferentiator
中英对照文档
接口 UnivariateVectorFunctionDifferentiator
- All Known Implementing Classes:
-
FiniteDifferencesDifferentiator
finitedifferencesdifferentiator.
public interface UnivariateVectorFunctionDifferentiator
Interface defining the function differentiation operation.接口定义功能差异化操作。
- 从以下版本开始:
-
3.1
3.1
方法概要
Methods
限定符和类型 方法和说明 UnivariateDifferentiableVectorFunction
differentiate(UnivariateVectorFunction function)
Create an implementation of adifferential
from a regularvector function
.从常规矢量函数创建差异的实现。
方法详细说明
differentiate
UnivariateDifferentiableVectorFunction differentiate(UnivariateVectorFunction function)
Create an implementation of adifferential
from a regularvector function
.从常规矢量函数创建差异的实现。
- 参数:
-
function
- function to differentiate功能 - 函数来区分
- 返回:
-
differential function
差分功能
9.2. UnivariateVectorFunctionDifferentiator
源码赏析
/** 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.differentiation;import org.apache.commons.math3.analysis.UnivariateVectorFunction;/** Interface defining the function differentiation operation.* @since 3.1*/
public interface UnivariateVectorFunctionDifferentiator {/** Create an implementation of a {@link UnivariateDifferentiableVectorFunction* differential} from a regular {@link UnivariateVectorFunction vector function}.* @param function function to differentiate* @return differential function*/UnivariateDifferentiableVectorFunction differentiate(UnivariateVectorFunction function);}
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