应用程序 统计和机器学习 StatsBase.jl Weight Vectors Scalar Statistics Robust Statistics Computing Deviations Scatter Matrix and Covariance Counting Functions Rankings and Rank Correlations Sampling from Population Empirical Estimation Correlation Analysis of Signals Multivariate Summary Statistics Miscellaneous Functions Abstraction for Statistical Models Data Transformations Distributions.jl Distributions Getting Started Type Hierarchy Univariate Distributions Truncated Distributions Censored Distributions Multivariate Distributions Matrix-variate Distributions Reshaping distributions Cholesky-variate Distributions Mixture Models Order Statistics Convolutions Distribution Fitting Create New Samplers and Distributions Support for DensityInterface GLM.jl GLM Examples GLM API RDatasets.jl 近似值 Polynomials.jl 章节 Polynomials.jl Polynomials Reference/API Types of polynomials Polynomial Chebyshev Polynomials Polynomials Extensions Extending Polynomials Interpolations.jl Convenience notation General usage Control of interpolation algorithm Extrapolation Knot Iteration Developer documentation Public API Other Interpolation Packages ChainRulesCore Integration GLM.jl GLM Examples GLM API LsqFit.jl LsqFit Getting Started LsqFit Tutorial LsqFit API 优化 JuMP.jl Installation Guide Should you use JuMP? JuMP Tutorials JuMP Getting started Introduction in структуру руководств JuMP Getting started with Julia Getting started with JuMP Getting started with sets and indexing Getting started with data and plotting Debugging Design patterns for larger models JuMP Performance tips Performance problems with sum-if formulations Transitioning from MATLAB Linear programs 线性规划简介 The knapsack problem example The diet problem The cannery problem The factory schedule example The multi-commodity flow problem The network multi-commodity flow problem 线性规划技巧 Approximating nonlinear functions The facility location problem Financial modeling problems Geographical clustering Network flow problems The transportation problem Multi-objective knapsack Simple multi-objective examples Sudoku N-Queens Constraint programming Callbacks in JuMP Sensitivity analysis of a linear program Basis matrices Computing the duals of a mixed-integer program Nonlinear programs 非线性规划简介 Simple examples Portfolio optimization Rocket Control Optimal control for a Space Shuttle reentry trajectory 非线性规划技巧 User-defined Hessians Nested optimization problems Computing Hessians Mixed complementarity problems Classifiers Automatic differentiation of user-defined operators Conic programs 锥规划简介 Primal and dual warm-starts 锥规划技巧 Simple semidefinite programming examples Dualization Arbitrary precision arithmetic Logistic regression in JuMP Experiment design Minimal ellipses Ellipsoid approximation Quantum state discrimination Algorithms in JuMP Benders decomposition Column generation Traveling Salesperson Problem Parallelism Applications Power Systems Optimal power flow Serving web apps Two-stage stochastic programs JuMP Manual Models in JuMP JuMP Variables Constraints Expressions Objectives Containers Solutions Solver-independent Callbacks Complex number support Nonlinear Modeling Nonlinear Modeling (Legacy) Algebraic modeling languages JuMP Developer Docs How to contribute to JuMP JuMP Extensions How to use a custom binary Style guide and design principles Development roadmap Checklists JuMP API API Containers Optim.jl Optim Tutorials Unconstrained Optimization Gradients and Hessians Configurable options Line search Algorithm choice Optim 预处理 Complex optimization Manifold optimization Dealing with constant parameters Nonlinear constrained optimization Maximum Likelihood Estimation: The Normal Linear Model Conditional Maximum Likelihood for the Rasch Model Algorithms in Optim Nelder-Mead Simulated Annealing SAMIN Particle Swarm Adam and AdaMax Conjugate Gradient Descent Gradient Descent (L-)BFGS Acceleration methods: N-GMRES and O-ACCEL Newton’s Method Newton’s Method With a Trust Region Interior point Newton method Notes for contributing Optimization.jl Начало работы 指南 使用符号分析。凸度证书的jl 使用平等和不平等约束 使用EnsembleProblem进行多启动优化 线性和整数优化问题 数据迭代器和Minibatching 通过使用链接求解器创建聚汞合金 翻拍 优化问题重用和缓存接口 使用ModelingToolkit构建符号问题 优化包 BlackBoxOptim.jl CMAEvolutionStrategy.jl 进化。jl GCMAES。jl 优化popt。jl 马诺普特jl MathOptInterface.jl 元动脉学。jl MultiStartOptimization。jl NLopt。jl Nlp模型。jl 游牧民族。jl 优化代码。jl Optimization 中的奥普蒂姆。jl 优化器。jl 优化。jl OptimizationPolyalgorithms。jl 首席。jl 皮克玛。jl QuadDIRECT。jl 希皮。jl 速度计算。jl Optimization 例子： 以>10种方式解决Rosenbrock问题 Optimization 空气污染指数 自动差异化施工选择建议 Optimization 常见问题 ModelingToolkit集成 优化功能 定义优化问题 优化解决方案 优化状态 优化策略 Optimization 常用求解器选项（求解关键字参数） Ipopt.jl GLPK.jl HiGHS.jl HiGHS Getting started Terminology Symbolics 中的符号计算 Symbolics.jl Getting Started with Symbolics.jl Educational Materials Automated Sparse Parallelism of Julia Functions via Tracing Automatic Conversion of Julia Code to C Functions Symbolics Examples Mixed Symbolic-Numeric Perturbation Theory Symbolics User’s Manual Variable and Equation Types Expression Manipulation Derivatives and Differentials Groebner bases Symbolic arrays Function Building and Compilation (build_function) Function Registration and Tracing Parsing Julia Expressions to Symbolic Expressions I/O, Saving, and Latex Structure and Sparsity Detection Supported types and dispatch in Symbolics Symbolics Frequently Asked Questions Comparison of Julia’s Symbolics.jl vs SymPy for Symbolic Computation 神经网络 Flux.jl Flux Getting Started A Neural Network in One Minute Flux Overview: Fitting a Straight Line How Flux Works: Gradients and Layers Training a Flux Model Recurrent Models GPU Support Saving and Loading Models Flux Performance Tips The Julia Ecosystem around Flux Flux Reference Built-in Layer Types Activation Functions from NNlib.jl Random Weight Initialisation Loss Functions Training API Reference Optimisation Rules Shape Inference Flat vs. Nested Structures Callback Helpers Automatic Differentiation using Zygote.jl Working with Data, using MLUtils.jl One-Hot Encoding with OneHotArrays.jl Neural Network primitives from NNlib.jl Recursive transformations from Functors.jl Flux Tutorials Tutorial: Linear Regression Logistic Regression in Flux Deep Learning with Julia & Flux: A 60 Minute Blitz Tutorial: Simple Multi-layer Perceptron Tutorial: A Simple ConvNet Tutorial: Generative Adversarial Networks Deep Convolutional Generative Adversarial Network (DCGAN) Defining Customised Layers PyCall.jl ONNX.jl ONNX API How to contribute 控制系统 ControlSystems.jl ControlSystems Getting Started ControlSystems Introduction Creating Systems Performance considerations ControlSystems Noteworthy Differences from other Languages ControlSystems Examples 其他 ControlSystems 示例 Analysis of linear control systems Smith predictor Iterative-Learning Control Properties of delay systems Automatic Differentiation in ControlSystems ControlSystems Functions Constructing systems Analysis Synthesis Time and Frequency response analysis ControlSystems Plotting functions Nonlinear functionality ControlSystems Index 工程系统 函数 动力学系统的数学模型 线性系统模型的表示 线性固定系统 财务汇报局 Pid PidStd 模型的属性 isct isdt 结构方案的转变 反馈意见 平行的 系列 连续系统和离散系统之间的转换 c2d d2c d2d 操作点和线性化 修剪;修剪 控制系统的综合 PID调节 pidtune ControlSystemIdentification.jl Identification data Statespace model estimation Transfer function estimation Impulse-response estimation Transfer-function estimation using spectral techniques ControlSystemIdentification 验证 Identification of nonlinear models ControlSystemIdentification Examples Temperature control Closed-loop identification Identification of unstable systems Delay estimation Ball and beam Flexible robot arm Glass furnace Evaporator Hair dryer Vector Autoregressive with External inputs (VARX) Nonlinear belt drive Exported functions and types FuzzyLogic.jl Inference Systems Logical connectives Aggregation methods Defuzzification methods Membership functions Reading / writing functionalities Learning fuzzy models FuzzyLogic Contributor’s guide ModelPredictiveControl.jl Manual: Linear Design Manual: Nonlinear Design Functions: Plant Models Functions: State Estimators Functions: Predictive Controllers Functions: Generic Functions Functions: SimModel Internals Functions: StateEstimator Internals Functions: PredictiveController Internals ModelPredictiveControl Index ReinforcementLearning.jl ReinforcementLearning Tutorial How to write a customized environment? How to implement a new algorithm How to use hooks? Episodic vs Non-episodic environments ReinforcementLearning Frequently Asked Questions Tips for Developers RLBase RLCore RLEnvs 信号处理 Быстрый старт DSP.jl. Welcome to DSP.jl’s documentation! Periodograms - periodogram estimation Estimation - parametric estimation functions Windows - window functions Filters - filter design and filtering Util - utility functions Convolutions - similarity methods LPC - Linear Predictive Coding DSP Index FFTW.jl. Fourier Transforms FastTransforms.jl Development Documentation Integration on an annulus Automatic differentiation through spherical harmonic transforms Chebyshev transform Holomorphic integration on the unit disk Half-range Chebyshev polynomials Nonlocal diffusion on S^2 Padua transform Spherical harmonic addition theorem Spin-weighted spherical harmonics Subspace angles Calculus on the reference triangle PortAudio.jl Public interface PortAudio Internals JuliaMusic JuliaMusic 基础 Basic MIDI structures Notes Note Tools Quantizing & Humanizing Music data extraction JuliaMusic 可视化 Plotting Notes Printing into a Score using MuseScore Motif sequence Motif sequence generation Music motifs Becoming a better drummer blog Mixing basic drum patterns Garibaldi’s Foot+Hand doubles 32nd note Gaddisms Wavelets.jl EngeeDSP 函数 信号生成、分析与预处理 啁啾 demod 迪里克 高斯普尔斯 gmonopuls medfilt1 调制,调制 普尔斯特兰 n.直肠,直肠 锯齿,锯齿 移位数据 中大 广场 旅行,旅行 unshift数据 数字与模拟滤波器 带通,带通 带阻器,带阻器 黄油 切比1 切比2 ctf2zp 毁灭,毁灭 下采样 埃利普 填充物;填充物 n.过滤,过滤 第一期 第一二 n.鱼,鱼 第一批 鹿firls 第一阶段 菲尔普莫德 freqz 高斯设计 grpdelay 高通 英普兹 n.长度,长度 interp,interp [医]内 isallpass,isallpass [医]岛相 ismaxphase isminphase 伊斯特布尔 低通,低通 [医]相色 rcos设计 再采样 n.居民,居民 标量筛选器 斯戈莱 sos2cell sos2ctf sos2ss sos2tf sos2zp 索斯菲尔特 ss2sos ss2zp tf2latc tf2sos tf2ss tf2zp tf2zpk 向上确认 上采样 yulewalk zp2ctf zp2sos系列 zp2ss zp2tf 数学 腹肌 角度 系数;系数 conv的 conv2 cos [医]deconv fft的 fft2 fft变换器 过滤器 ifft ifft2 ifft换档 国际刑警组织 [医]pchip 兰德恩 罪 样条线 ss2tf 矩阵和数组 [医]循环换档 光谱分析 巴桑温 巴特利特 布莱克曼 布莱克曼哈里斯 博曼温 切布温 dpss 弗拉托普温 高斯温 汉明 汉恩 凯撒 纳特尔温 帕岑温 [医]直肠 泰勒温 [医]三角 图凯温 数据导入和分析 科尔科夫 cov 康马克斯 康明 减损,减损 麦克斯 平均 中位数 敏 电影,电影 movmean movmedian 均方根值 平滑数据 性病 瓦尔 xcorr xcov的 变换、关联和建模 ac2poly ac2rc 阿尔堡 阿尔科夫 阿姆科夫 阿尤勒 比特列顺序 cceps 中华基督教青年会 convmtx [医]波纹管 czt dct dftmtx 数字顺序 emd 信封 希尔伯特 idct [医]常见问题 因弗里克兹 伊斯特夫特 莱文森 lpc lsf2波利 保利2rc prony碌录潞陆 [医]扁桃体 rc2is rc2lar rc2波利 rcep/rcep 频谱图 stft vmd xcorr2 聚2lsf 保利2ac 雷文森 过滤器开发和分析 allpass2wdf designHighpassFIR designHighpassIIR [医]多发性硬化症 designNotchPeakIIR 测量和突出显示功能 对齐信号 乐队力量 库苏姆 dtw 荷兰自行车 教育署署长 enbw 秋季 芬德莱 发现,发现 [医]信号 instbw instfreq 平均水平 梅德夫雷克 中交叉 obw 超调 峰2峰 峰值2rms 功率bw [医]脉冲周期 pulsesep pulsewidth 上升时间 rssq 结算时间 sfdr 辛纳德 n.滑水,滑水 信噪比 n.幽灵,幽灵 spectralEntropy [医]光谱反射性 spectralKurtosis [医]光谱 国家航空 托伊 下冲,下冲 系统对象 工程师。CICDecimator缧 工程师。鹿CICInterpolator 工程师。第一过滤器 EngeeDSP.NotchPeakFilter 工程师。光谱分析仪 EngeeDSP.gpsWaveformGenerator 工程师。VariableBandwidthFIRFilter JuliaImages 中的图像处理 JuliaImages Julia Images Getting started Julia Images Tutorials Julia Images Quickstart Arrays, Numbers, and Colors Conversions vs. views Arrays: more advanced indexing Packages under JuliaImages ImageAxes.jl ImageMetadata.jl ImageSegmentation.jl ImageTransformations.jl ImageFeatures.jl Julia Images Demonstrations Image features ORB Descriptor Local Binary Patterns FREAK Descriptor BRIEF Descriptor BRISK Descriptor Object Detection using HOG Spatial transformation Image Difference View Cropping, Resizing and Rescaling Layer Compositing Histogram equalisation Histogram Matching Color channels RGB to HSV and thresholding Image Compression using SVD RGB to GrayScale Indexed image in 5 minutes Contours Edge detection using Sujoy Filter Contour Detection and Drawing Canny Edge Detection Detecting Corners Image morphology Morphological Operations Convex Hull, Filling, Thinning, ClearBorder Watershed Segmentation Algorithm Structural Similarity Index, Peak Signal-to-Noise Ratio Summary and function reference Comparison with other image processing frameworks FileIO.jl FileIO 介绍 Registry table Registering a new format Implementing loaders/savers World age issue FileIO Reference ImageBinarization.jl ImageBinarization Function References OffsetArrays.jl OffsetArrays For developers OffsetArrays Reference ImageEdgeDetection.jl ImageEdgeDetection Function References ImageFiltering.jl ImageFiltering Tutorial ImageFiltering Examples Custom median filters Max min filters Template Matching Filtering images Kernels Image gradients Map windows Padding arrays Technical background Filtering functions ImageMorphology.jl Structuring element Morphology Operators closing dilate erode extreme_filter mgradient mlaplacian mreconstruct opening overbuild tophat underbuild bothat ImageMorphology Reference CoordinateTransformations.jl CoordinateTransformations API Reference TestImages.jl Image database testimage testimage_dip3e TestImages Function reference TestImages Contributing 相控阵天线 [医]工程师 系统对象 EngeePhased.BackscatterRadarTarget EngeePhased.ConformalArray EngeePhased.CrossedDipoleAntennaElement EngeePhased.CustomAntennaElement EngeePhased.GaussianAntennaElement EngeePhased.IsotropicAntennaElement EngeePhased.LinearFMWaveform EngeePhased.MFSKWaveform EngeePhased.OmnidirectionalMicrophoneElement 工程师。分区阵列 EngeePhased.PhaseCodedWaveform 工程师。RangeDopplerResponse EngeePhased.ReplicatedSubarray EngeePhased.ShortDipoleAntennaElement EngeePhased.SincAntennaElement EngeePhased.StretchProcessor 工程师。UCA 工程师。乌拉 工程师。市建局 EngeePhased.WidebandLOSChannel EngeePhased.SteppedFMWaveform 函数 阿尔贝海姆 npwgnthresh 范围角 鹏飞 喙傕腑笚笚 steervec 通讯系统 EngeeComms 系统对象 EngeeComms.BarkerCodeGenerator EngeeComms.ConvolutionalEncoder EngeeComms.OFDMDemodulatorBaseband EngeeComms.OFDMModulatorBaseband EngeeComms.PhaseFrequencyOffset EngeeComms.ConvolutionalInterleaver EngeeComms.ConvolutionalDeinterleaver EngeeComms.BPSKModulatorBaseband EngeeComms.BPSKDemodulatorBaseband EngeeComms.AWGN EngeeComms.BernoulliBinaryGenerator EngeeComms.DQPSK_DemodulatorBaseband EngeeComms.DQPSK_ModulatorBaseband EngeeComms.ErrorRateCalculation EngeeComms.EVM EngeeComms.FreeSpacePathLoss EngeeComms.GeneralQAMDemodulatorBaseband EngeeComms.GeneralQAMModulatorBaseband EngeeComms.QPSKBasebandDemodulator EngeeComms.RaisedCosineReceiveFilter EngeeComms.RaisedCosineTransmitFilter EngeeComms.RandomIntegerGenerator EngeeComms.Repeat EngeeComms.RectangularQAMModulatorBaseband 无线电、雷达 DigitalComm.jl Function list DigitalComm Examples Transmission of xQAM with additive white Gaussian noise Compute the theoretical BER for AWGN channel and various constellation size Plotting PSD of several multicarrier waveforms InterProcessCommunication.jl Semaphores Shared Memory InterProcessCommunication Reference EngeeRF 功能 abcd2h abcd2s abcd2y abcd2z abcd参数 添加 放大器;放大器 分析,分析 衰减器 电容器 电路 克隆 g2h gamma2z 配子,配子 团体,团体 h2abcd h2g h2s h2y h2z h参数 电感器,电感器 [医]胆囊 n.混频器,混频器 调制器 n.噪音,噪音 nport 相移,相移 电阻器 rfbudget rfckt。同轴线 rfckt。平行板,平行板 rfckt。rlcgline,rlcgline rfckt。twowire的 rf数据。数据资料 [医]过滤器 rfinterp1 rfplot 理查兹 s2abcd s2h s2s s2t s2y s2z [医]系列 设置端口 设置/设置 顺特洛克 麻雀;麻雀 t2s 参数/参数 [医]txlineCPW [医]光电强度 txlineLumped txlineMicrostrip txlineStripline [医]网状网 y2abcd y2h y2s y2z y参数 z2abcd z2gamma z2h z2s z2y z参数 恩格尔达尔 系统对象 EngeeRadars.TwoRayChannel 使用地图 GeoInterface.jl Simple Features History Traits interface Implementing GeoInterface Defaults GeoInterface API Packages NetCDF.jl NetCDF Quickstart High-level interface Medium-level interface Short note on reading and writing NC_CHAR and NC_STRING variables Geodesy.jl GeoJSON.jl 杂项 系统 MATLAB.jl DuckDB.jl Julia 数学 Roots.jl 章节 Roots.jl Visualizing a step for various zero-finding algorithms Roots Reference/API An overview of Roots NumericalIntegration.jl Turing.jl Using Turing Turing Getting Started Probabilistic Programming in Thirty Seconds Turing Guide Turing Advanced Usage Automatic Differentiation in Turing Turing Performance Tips Using DynamicHMC Sampler Visualization Turing API Bijectors Advanced HMC Turing For developers Turing Overview The sampling interface How Turing implements AbstractMCMC Variational Inference Turing Contributing Turing 贡献指南 Turing Style Guide DynamicalSystems.jl Overarching tutorial for DynamicalSystems.jl Contents DynamicalSystems Contributor Guide Calculus.jl IterativeSolvers.jl IterativeSolvers Getting started IterativeSolvers 预处理 Linear systems Conjugate Gradients (CG) Chebyshev iteration MINRES BiCGStab(l) IDR(s) Restarted GMRES LSMR LSQR Stationary methods QMR Eigenproblems (Inverse) power method Locally optimal block preconditioned conjugate gradient (LOBPCG) Golub-Kahan-Lanczos (SVDL) Iterative solvers as iterators TaylorSeries.jl Background TaylorSeries User guide TaylorSeries Examples Library Noise.jl Additive White Gaussian Multiplicative White Gaussian Salt and Pepper Poisson Quantization Noise Function References NLsolve.jl StatsPlots.jl DecisionTree.jl LightGraphs.jl Graph Types LightGraphs Types Accessing Graph Properties Making and Modifying Graphs Reading and writing Graphs Operators Core Functions Plotting Graphs Path and Traversal Coloring Distance Centrality Measures LightGraphs Linear Algebra Matching Community Structures Graph Decomposition Integration with other packages Experimental Graph Algorithms Parallel Graph Algorithms Contributor Guide Developing Alternate Graph Types LightGraphs License Error Handling Measurements.jl Usage Examples Performance Development Appendix: Technical Details 数据类型 LaTeXStrings.jl Tables.jl StaticArrays.jl StaticArrays API Quick Start Unitful.jl Highlighted features Types Defining new units Conversion/promotion Manipulating units How units are displayed Logarithmic scales Temperature scales Interoperability with the Dates standard library Extending Unitful Troubleshooting 实用图书馆 CategoricalArrays.jl Using CategoricalArrays Implementation details API Index ScikitLearn.jl ScikitLearn 简介 Quick start guide Model Api Reading the Scikit-Learn Documentation Models in ScikitLearn Cross-validation Model Selection Pipelines DataFrames Saving models to disk Getting help Impute.jl Basics Walkthroughs Spatiotemporal Panel Datasets SVD Imputation Impute API Declaring Missings Impute 验证 Filtering Imputation Chaining HypothesisTests.jl Methods Parametric tests Nonparametric tests Time series tests Multivariate tests KernelDensity.jl KernelDensity Docstrings StatsAPI.jl StatsAPI Docstrings PowerAnalyses.jl FreqTables.jl FreqTables Docstrings BeautifulAlgorithms.jl