ΠΊΠΎΠ΄ Π°ΠΊΡΠΈΠ²Π°ΡΠΈΠΈ Π΄Π»Ρ ΠΌΠ°ΡΠ»Π°Π±
MathWorks MATLAB R2018b (V9.5) Cracked Key Installation + License Activation Detailed Tutorial (including download)
MATLAB R2018b is the most powerful, practical and super-powerful commercial mathematical software launched by MathWorks. The new version brings new functions in 5G wireless communication field, sensor fusion and target tracking. It is an unavailable tool for application construction, scripting and team software development. Here, the small edition mainly introduces Math in detail. Works matlab R2018b (V9.5) cracked version key installation + License Activation tutorial, and attached to the download of the cracked version of MATLAB R2018b, hope to help you.
MATLAB r2018b Cracked Edition Installation Activation Graphics and Text Course
1. Download the software installation package of MATLAB r2018b and Crack to the local Baidu Disk provided by this website.
Because of the document tutorial, I recommend you to use the βBaidu cloud disk VIP cracking speed-limited final version (green installation free) or Baidu cloud stewardship speed-limited version (installation required)β for high-speed download.
2. After downloading, decompress the MATLAB r2018b program, select any r2018b_win64. * rar to decompress, then load the R2018b_win64.iso file after decompression (friends without the relevant mirror software can choose to right-click to decompress the R2018b_win64.iso file), find setup.exe in the pop-up window, right-click to select [run as administrator]
In the Installation Wizard, select βInstall Key with Fileβ and click Next.
3. Choose βYesβ to accept the license agreement, and then click on βNext stepβ
4. In this step, select βI have my license file installation keyβ and Enter installation key: 09806-07443-53955-64350-21751-41297 Then click Next
5. Select the software installation directory and install the program on C disk by default. Because the software occupies a large disk space (12GB+), so here we recommend that you change the installation location, click on [browse] to change the software installation location (we recommend you choose D disk)
6. Choose the product to install, childrenβs shoes who donβt know which products they want to use are all selected, and then click on the next step.
7. Choose to create shortcuts. In order to open the program of MATLAB r2018b easily, the editor here suggests that you select all the βdesktopβ and βstart menuβ and click on the next step.
8. Confirm the selected installation information and click on Installation after it is correct.
9. In the process of installation, this process will take about 30 minutes. Please wait patiently.
10. Pop up the product configuration description interface. By default, click Next.
11. Installation is complete, click Finish. Do not open the software directly after installation Further cracking is needed. Opening ahead of time may lead to cracking failure.
12. Copy License_standalone.lic into the Licenses folder in the installation directory in the extracted file
Default βC: Program Files MATLAB R2018b licensesβ
13. Open the R2018b bin win64 folder in the Crack file, copy and paste the netapi32.dll file in the folder into the win64 folder in the installation directory.
Program installed by default: C: Program Files MATLAB R2018b bin win64
However, in the process of installation, Xiaobian has suggested that you change the installation location, friends who do not know their installation location can find MATLAB R2018b shortcut on the desktop, right-click β Property β open file location.
14. Complete the cracking, double-click the desktop matlab 2018b icon to open the software, you can use unlimited. All functions are free of charge.
Update logs
New features, bug fixes, compatibility considerations
desktop
Real-time Editor: Organize real-time scripts using other subtitle styles
Real-time Editor: Navigation in Real-time Scripts Using Internal Hyperlinks
Real-time Editor: Interactively filters table output, and then adds generated code to real-time scripts
Real-time Editor: Create new and open existing real-time scripts faster
Real-time Editor: Changing the capitalization of text or code
Comparing tools: merging two versions of real-time scripts or functions
When comparing real-time scripts or real-time functions with a comparison tool, changes can be merged from one file to another. Merging changes can be useful in resolving conflicts between different versions of a file.
To merge two real-time scripts or functions, go to the Dynamic Editor tab and click Compare in the File section. A new window opens and two files are displayed side by side. Select the Merge Mode button to start the merge.
Use this button to replace the content in the right pane with that in the left pane. The right pane contains the results of the merge. To save the results, click Save the Results.
Load Manager: Install and manage multiple versions of a custom toolbox
Add-in Manager: Save the add-in to a new default location
Documentation: View MATLAB documents in Spanish
Toolbox Packaging: Use custom toolbox to install other software
Language and programming
String arrays: String uses arrays in MATLAB, Simulink, and Stateflow
ConvertContainedStringsToChars function: Convert string arrays at any level of cell arrays or structures
Enumeration: Enumeration improves the performance of set operations
WSDL Web Services Documentation: Necessary Tool Updates
Functions deleted or changed
Mathematics
Boundaryshape function: polyshape creates an object from two-dimensional triangulation
Polyshape object: Specifies the time when the collinear point is maintained at creation
RandStream Object: Generating Random Numbers Using Threefry and Shilox Algorithms
GraphPlot object: Uses font attributes to customize nodes and edge Tags
Sinpi and cospi functions: calculating sine and cosine of PI multiples
image
Axis Interaction: By default, enable translation, zooming, data prompts, and three-dimensional rotation to explore data
Axis toolbar: Data exploration toolbar for accessing and customizing each Axes object
Geographic maps: Create lines, scatter maps and point density maps on interactive maps, and control the attributes of geographic axes
Stacked plot function: draw table or schedule variables for comparison using the general X-axis
Scatterhistogram function: visualize grouped data as scatter plots with edge histograms
Sgtitle function: creating headings for subgraph grids
Xline and Yline functions: add vertical or horizontal lines to drawings
Imtile function: merge multiple image frames into a rectangular tiled image
Data Tips: Use TeX or LaTeX tags in data tips to improve visual appearance
Functions deleted or changed
Data import and export
Import tool: Generate improved code when importing spreadsheets
Web-based data: Readtable, detection ImportOptions, spreadsheet Datastore, imread, and imfinfo are accessed using Web-based data sources such as Amazon Web Services and Azureβs Blob Storage
Write function: Write high arrays in various formats to local or remote locations
Stlread and stlwrite functions: read and write STL (Stereolithography) files for triangulation
TabularTextDatastore object: Importing data containing date and time from a non-English language environment
Readtable and writetable functions: read or write spreadsheet files without starting Microsoft Excel for Windows on Windows platform
Readtable function: use import options to manage the import of empty fields
Scientific File Format Library: CFITSIO Library Upgraded to Version 3.420
Functions deleted or changed
Data analysis
Vector Size Parameters: Operate multiple sizes at a time for selected shrinkage functions
Grouptransform Function: Converting Tables or Schedule Data by Groups
Groupsummary function: summary calculation of matrix execution group
Tall arrays: Write custom algorithms to run on high arrays
Tall arrays: there are more functions in high-level array operations, including conv2, wordcloud and groupsummary
Rmoutliers function: delete outliers in arrays, tables or timetables
Islocalmin and islocalmax functions: specify data scopes that highlight computation
Table and timetable metadata: Custom metadata for storing each variable
Timetable data type: memory savings when storing row time at regular time steps
Timerange function: specify the unit of time that defines the time range
Convertvars function: Converts a table or schedule variable to a specified data type
Table, timetable, and addvars functions: Use single quotation marks for input names, not double quotation strings
Functions deleted or changed
App Building
App Designer: Add and configure date selection components on the App Designer canvas
App Designer: Unified Property Checker in Design View and Code View
Application Designer: Expand and Fold the Code Section in the Code View
App Designer: Export an application to a code file
Application Designer: Use Code Analyser Message Bar to Find Errors and Warnings in Code
App Designer: Faster application writing using improved code advice and completion procedures
App Designer: Use MATLAB preferences to control App Designer code view settings
Uigridlayout function: configuring application layout using grid layout manager
Rolling Container: Enable Rolling Graphics, Panel, Tab and Button Group Containers
Graph Interaction: Create applications using custom mouse and keyboard interactions using graphics created using the uifigure function
Graphics card support: use integrated blocks to form an application axes, polaraxes, and geoaxes functionality
ToolTips: Create custom tooltips for UI components in applications
Deployed Web applications: Use uigetfile and uiputfile functions to access files in deployed Web applications
Running applications in browsers: Running applications in MATLAB Online or deployed Web applications using most modern browsers
Uisetcolor functionality: interactive selection of custom colors
Functions deleted or changed
performance
Start-up: Improving the Start-up Speed of MATLAB
Execution Engine: Index to large arrays with improved performance when using colon operators
Execution Engine: Calling Built-in Functions Faster
Real-time Editor: Create new and open existing real-time scripts faster
Enumeration: Enumeration improves set function performance
Building applications: Faster canvas interaction in App Designer
Running applications: Faster application startup time
Sort function: Sort matrices and arrays more quickly
Hardware support
MATLAB Online: Communication and raspberry dispatch from hardware board MATLAB Online
Deployment of MATLAB functions on Raspberry Pi hardware
IOS and Android sensors: Get sensor data when your device is unable to access the network
IOS and Android sensors: upload sensor logs from devices to MATLAB Drive
Advanced Software Development
Tab completion: Verify the function signature file using the validateFunctionSignatures JSON function
Tab completion: JSON parser for functional Signatures. JSON upgrade
Java SE 8: MATLAB support to provide greater security and access to new Java functions
Python interface: Passing multidimensional numbers or logical arrays between MATLAB and Python
C++ MEX API: Asynchronous invocation of MATLAB from MEX files using C++ API
Unit Testing Framework: Running Tests in Parallel with More Plugins and Smart Scheduling
Unit Testing Framework: Using External Parameters in Parametric Testing
Unit testing framework: sorting test suites based on shared fixture
Unit Test Framework: Explicit Control of the Diagnostic Level of Output Display Details and Records
Unit Test Framework: Configuring the Detailed Level of Output Diagnosis
Unit Test Framework: Compare values faster with constraints
Application Test Framework: Selecting Tree Nodes Programmatically
Performance Testing Framework: Using this TestCase. Keep Measuring method to measure the execution time of fast code more accurately
Simulating Framework: Calling Functions when Simulating Method Calls
Analog Framework: Verify the interaction on the simulation sequentially
Analog Framework: Recording a Clear History of Analog Object Interaction
Matlab. test. behavior. Missing class: Verification class satisfies missing value behavior contract
MEX function: Using Interleaved Complex API to build Fortran MEX file
The compiler support has been changed to build MEX files and stand-alone MATLAB engines and MAT file applications
System Objects: Flexible Requirements for Input when System Objects are Called
System Object Creation: Use Enumerations to Define Limited Attribute Lists in System Objects
Reference Architecture: Deploy and run MATLAB on Amazon Web Services (AWS) and Microsoft Azure
Git Stashes: Stores uncommitted changes for later use
Mathworks Matlab R2010b New + ΠΠ»ΡΡ
MATLAB β ΡΡΠΎ Π²ΡΡΠΎΠΊΠΎΡΡΠΎΠ²Π½Π΅Π²ΡΠΉ ΡΠ·ΡΠΊ ΡΠ΅Ρ Π½ΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠ°ΡΡΠ΅ΡΠΎΠ², ΠΈΠ½ΡΠ΅ΡΠ°ΠΊΡΠΈΠ²Π½Π°Ρ ΡΡΠ΅Π΄Π° ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠΈ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ² ΠΈ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΠΉ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½Ρ Π°Π½Π°Π»ΠΈΠ·Π° Π΄Π°Π½Π½ΡΡ . MATLAB ΠΏΠΎ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ Ρ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΠΌΠΈ ΡΠ·ΡΠΊΠ°ΠΌΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ (C/C++, Java, Pascal, FORTRAN) ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π½Π° ΠΏΠΎΡΡΠ΄ΠΎΠΊ ΡΠΎΠΊΡΠ°ΡΠΈΡΡ Π²ΡΠ΅ΠΌΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΈΠΏΠΎΠ²ΡΡ Π·Π°Π΄Π°Ρ ΠΈ Π·Π½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΠΏΡΠΎΡΠ°Π΅Ρ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΡ Π½ΠΎΠ²ΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ². ΠΠ±ΡΠΈΡΠ½Π°Ρ Π±ΠΈΠ±Π»ΠΈΠΎΡΠ΅ΠΊΠ° ΡΡΠ½ΠΊΡΠΈΠΉ ΡΠΏΡΠΎΡΠ°Π΅Ρ ΡΠ°Π±ΠΎΡΡ (Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ Π³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΎΡΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠ΅ Π΄Π°Π½Π½ΡΡ ). MATLAB ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Ρ Π²ΡΠ΅Π³ΠΎ ΡΠ΅ΠΌΠ΅ΠΉΡΡΠ²Π° ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² MathWorks ΠΈ ΡΠ²Π»ΡΠ΅ΡΡΡ Π³Π»Π°Π²Π½ΡΠΌ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠΎΠΌ Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΈΡΠΎΠΊΠΎΠ³ΠΎ ΡΠΏΠ΅ΠΊΡΡΠ° Π½Π°ΡΡΠ½ΡΡ ΠΈ ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΡ Π·Π°Π΄Π°Ρ, Π² ΡΠ°ΠΊΠΈΡ ΠΎΠ±Π»Π°ΡΡΡΡ ΠΊΠ°ΠΊ: ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² ΠΈ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠΈΡΡΠ΅ΠΌ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ, ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΎΠΌΠΌΡΠ½ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΡΠΈΡΡΠ΅ΠΌ, ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠΈΠ³Π½Π°Π»ΠΎΠ² ΠΈ ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠΉ, ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈΠ΅ ΡΠΈΠ³Π½Π°Π»ΠΎΠ² ΠΈ ΡΠ΅ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅, ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅, Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½Π°Ρ Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡ ΠΈ Π΄Ρ.
ΠΠ°ΡΠ° Π²ΡΠΏΡΡΠΊΠ°: ΡΠ΅Π½ΡΡΠ±ΡΡ 2010
ΠΠ΅ΡΡΠΈΡ: 2010b (7.11)
Π Π°Π·ΡΠ°Π±ΠΎΡΡΠΈΠΊ: Mathworks
Π Π°Π·ΡΡΠ΄Π½ΠΎΡΡΡ: 32bit & 64bit
Π‘ΠΎΠ²ΠΌΠ΅ΡΡΠΈΠΌΠΎΡΡΡ Ρ Vista: ΠΏΠΎΠ»Π½Π°Ρ
Π‘ΠΎΠ²ΠΌΠ΅ΡΡΠΈΠΌΠΎΡΡΡ Ρ Windows 7: ΠΏΠΎΠ»Π½Π°Ρ
Π―Π·ΡΠΊ ΠΈΠ½ΡΠ΅ΡΡΠ΅ΠΉΡΠ°: ΠΠ½Π³Π»ΠΈΠΉΡΠΊΠΈΠΉ
Π’Π°Π±Π»Π΅ΡΠΊΠ°: ΠΡΠΈΡΡΡΡΡΠ²ΡΠ΅Ρ
Π‘ΠΈΡΡΠ΅ΠΌΠ½ΡΠ΅ ΡΡΠ΅Π±ΠΎΠ²Π°Π½ΠΈΡ:
WinXP SP3, WinXPx64 SP2, Win2003Server R2 SP2, WinVista SP1 or SP2, Win2008Server SP2 ΠΈΠ»ΠΈ R2, Win7
ΠΡΠΎΡΠ΅ΡΡΠΎΡ: Ρ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠΎΠΉ SSE2 (ΠΏΠΎΠ΄ΡΠΎΠ±Π½Π΅Π΅ ΡΡΡ)
ΠΠΈΡΠΊΠΎΠ²ΠΎΠ΅ ΠΏΡΠΎΡΡΡΠ°Π½ΡΡΠ²ΠΎ: 1-4ΠΠ±
ΠΠ°ΠΌΡΡΡ: 1ΠΠ±, Π° Π»ΡΡΡΠ΅ 2ΠΠ± ΠΈ Π±ΠΎΠ»Π΅Π΅ (Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠ΅ΡΠ°Π΅ΠΌΡΡ
Π·Π°Π΄Π°Ρ)
Π Π°Π·ΠΌΠ΅Ρ: 3,87 ΠΠ±
Π―Π΄ΡΠΎ MATLAB ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎ ΠΏΡΠΎΡΡΠΎ ΡΠ°Π±ΠΎΡΠ°ΡΡ Ρ ΠΌΠ°ΡΡΠΈΡΠ°ΠΌΠΈ ΡΠ΅Π°Π»ΡΠ½ΡΡ , ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ½ΡΡ ΠΈ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΈΠΏΠΎΠ² Π΄Π°Π½Π½ΡΡ . Π‘ΠΎΠ΄Π΅ΡΠΆΠΈΡ Π²ΡΡΡΠΎΠ΅Π½Π½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΡ (LAPACK, BLAS), Π±ΡΡΡΡΠΎΠ³ΠΎ Π€ΡΡΡΠ΅ ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ (FFTW), ΡΡΠ½ΠΊΡΠΈΠΈ Π΄Π»Ρ ΡΠ°Π±ΠΎΡΡ Ρ ΠΏΠΎΠ»ΠΈΠ½ΠΎΠΌΠ°ΠΌΠΈ, ΡΡΠ½ΠΊΡΠΈΠΈ Π±Π°Π·ΠΎΠ²ΠΎΠΉ ΡΡΠ°ΡΠΈΡΡΠΈΠΊΠΈ ΠΈ ΡΠΈΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΡ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ. ΠΡΠ΅ Π²ΡΡΡΠΎΠ΅Π½Π½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΡΠ΄ΡΠ° MATLAB ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΠΈ ΠΎΠΏΡΠΈΠΌΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ ΡΠΏΠ΅ΡΠΈΠ°Π»ΠΈΡΡΠ°ΠΌΠΈ ΠΈ ΡΠ°Π±ΠΎΡΠ°ΡΡ Π±ΡΡΡΡΠ΅Π΅ ΠΈΠ»ΠΈ ΡΠ°ΠΊ ΠΆΠ΅, ΠΊΠ°ΠΊ ΠΈΡ ΡΠΊΠ²ΠΈΠ²Π°Π»Π΅Π½Ρ Π½Π° C/C++
ΠΠ»ΡΡΠ΅Π²ΡΠ΅ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ
Π§ΡΠΎ Π½ΠΎΠ²ΠΎΠ³ΠΎ Π² ΡΡΠΎΠΉ Π²Π΅ΡΡΠΈΠΉ ΠΏΠΎ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ Ρ ΠΏΡΠ΅Π΄ΡΠ΄ΡΡΠ΅ΠΉ
Release 2010b includes new features in MATLAB and Simulink, one new product, and updates and bug fixes to 85 other products.
ΠΠΎΠ²ΠΎΠ΅ Π² Matlab
β’ Additional multithreaded math functions and enhancements to file sharing, path management, and the desktop in MATLAB
β’ New System objects for stream processing in MATLAB, with over 140 supported algorithms in Video and Image Processing Blockset and Signal Processing Blockset
β’ Multicore support and performance enhancements for over 50 functions and expanded support for large images in Image Processing Toolbox
β’ New nonlinear solvers in Global Optimization Toolbox and Optimization Toolbox
β’ Ability to generate Simscape language equations from Symbolic Math Toolbox
β’ Stochastic approximation expectation-maximization (SAEM) and pharmacokinetic dosing schedules support in SimBiology
β’ New capabilities for the Simulink product family include:
β’ Tunable parameter structures, triggered model blocks, and function call branching for large-scale modeling in Simulink
β’ Code generation support for Eclipse, Embedded Linux, and ARM processors in Embedded IDE Link and Target Support Package
β’ ISO 26262 certification for Real-Time Workshop Embedded Coder and PolySpace products in IEC Certification Kit
β’ DO-178B qualification support extended to model coverage in DO Qualification Kit
β’ Simulink PLC Coder, a new product for generating IEC 61131 structured text for PLCs and PACs
ΠΠΎΠ²ΠΎΠ΅ Π² Simulink
β’ Arrays of buses with For Each subsystems for reducing Simulink model size, simulation time, and data copies for large-scale models
β’ Subsystem variants in Simulink and atomic subcharts in Stateflow to create reusable model components
β’ Test harness generation, data logging, and scripted test execution in Simulink Verification and Validation
β’ Parallel builds of model reference hierarchies with Real-Time Workshop and MATLAB Distributed Computing Server
β’ SimRF, based on Simscape, including circuit envelope simulation and RF Blockset capabilities
β’ FPGA Workflow Advisor, critical path highlighting, and DO-254 support in Simulink HDL Coder
β’ Multicore support for multirate models in xPC Target and xPC Target Turnkey systems
ΠΠΎΠ²ΠΎΠ΅ Π² Polyspace
β’ Web interface for viewing project metrics in Polyspace Server for C/C++ and Polyspace Server for Ada
β’ Support for all statically enforceable MISRA-C++ coding standards in Polyspace Client for C/C++
ΠΠΎΠΏ. ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ: ΠΠΎΠ΄ΡΠΎΠ±Π½ΠΎΡΡΠΈ ΠΎ ΡΠΎΠΌ ΠΊΠ°ΠΊ ΠΏΠΎΡΡΠ°Π²ΠΈΡΡ ΡΡΡ Π²Π΅ΡΡΠΈΡ ΠΌΠ°ΡΠ»Π°Π± ΡΠΌΠΎΡΡΠΈ Π² ΡΠ°ΠΉΠ»Π΅ serial\Readme.txt.
Π ΡΡΠΎΠΉ Π²Π΅ΡΡΠΈΠΈ Π£Π‘Π’Π ΠΠΠΠΠ Π½Π°Π΄ΠΎΠ΅Π΄Π»ΠΈΠ²Π°Ρ ΠΏΡΠΎΠ±Π»Π΅ΠΌΠ° Ρ Π½Π΅Π·Π°ΠΏΡΡΠΊΠΎΠΌ ΠΠ°ΡΠ»Π°Π±Π° ΠΏΡΠΈ Π²ΠΊΠ»ΡΡΠ΅Π½ΠΎΠΌ VPN-ΡΠΎΠ΅Π΄ΠΈΠ½Π΅Π½ΠΈΠΈ.
ΠΡΠ»ΠΈ ΠΈΠ½ΡΡΠ°Π»ΡΡΠΎΡ Π½Π΅ ΡΠΎΠ·Π΄Π°Π» ΠΈΠΊΠΎΠ½ΠΊΡ Π΄Π»Ρ Π·Π°ΠΏΡΡΠΊΠ° (Ρ ΠΌΠ΅Π½Ρ ΡΠ°ΠΊ ΡΠ»ΡΡΠΈΠ»ΠΎΡΡ ΠΊΠΎΠ³Π΄Π° Ρ ΡΠ΄Π°Π»ΠΈΠ» ΠΈ ΡΠ½ΠΎΠ²Π° ΠΏΠΎΡΡΠ°Π²ΠΈΠ» ΡΡΠΎΡ ΠΌΠ°ΡΠ»Π°Π±) ΡΠΎ ΠΌΠΎΠΆΠ½ΠΎ Π²ΡΡΡΠ½ΡΡ ΡΠ΄Π΅Π»Π°ΡΡ ΡΡΡΠ»ΠΊΡ Π½Π° \bin\matlab.exe (ΠΏΠΎ ΡΠΌΠΎΠ»ΡΠ°Π½ΠΈΡ ΡΡΠΎ C:\Program Files\MATLAB\R2010b\bin\matlab.exe ΠΈΠ»ΠΈ C:\Program Files\MATLAB\bin\matlab.exe)
Matlab R2020b
ΠΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ
ΠΠΏΠΈΡΠ°Π½ΠΈΠ΅
βββMATLAB β ΡΡΠΎ Π²ΡΡΠΎΠΊΠΎΡΡΠΎΠ²Π½Π΅Π²ΡΠΉ ΡΠ·ΡΠΊ ΠΈ ΠΈΠ½ΡΠ΅ΡΠ°ΠΊΡΠΈΠ²Π½Π°Ρ ΡΡΠ΅Π΄Π° Π΄Π»Ρ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΡΠΈΡΠ»Π΅Π½Π½ΡΡ ΡΠ°ΡΡΠ΅ΡΠΎΠ² ΠΈ Π²ΠΈΠ·ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ². Π‘ ΠΏΠΎΠΌΠΎΡΡΡ MATLAB ΠΌΠΎΠΆΠ½ΠΎ Π°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°ΡΡ Π΄Π°Π½Π½ΡΠ΅, ΡΠ°Π·ΡΠ°Π±Π°ΡΡΠ²Π°ΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΡ, ΡΠΎΠ·Π΄Π°Π²Π°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΈ ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½ΠΈΡ.
Π―Π·ΡΠΊ, ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠ°ΡΠΈΠΉ ΠΈ Π²ΡΡΡΠΎΠ΅Π½Π½ΡΠ΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ Π²Π°ΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΡ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠ΅ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄Ρ ΠΈ ΠΏΠΎΠ»ΡΡΠ°ΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π±ΡΡΡΡΠ΅Π΅, ΡΠ΅ΠΌ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΡΠ»Π΅ΠΊΡΡΠΎΠ½Π½ΡΡ
ΡΠ°Π±Π»ΠΈΡ ΠΈΠ»ΠΈ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΡ
ΡΠ·ΡΠΊΠΎΠ² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΡΠ°ΠΊΠΈΡ
ΠΊΠ°ΠΊ C/C++ ΠΈΠ»ΠΈ Java.
MATLAB ΡΠΈΡΠΎΠΊΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΡΡΡ Π² ΡΠ°ΠΊΠΈΡ
ΠΎΠ±Π»Π°ΡΡΡΡ
, ΠΊΠ°ΠΊ:
MATLAB ΠΏΠΎ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ Ρ ΡΡΠ°Π΄ΠΈΡΠΈΠΎΠ½Π½ΡΠΌΠΈ ΡΠ·ΡΠΊΠ°ΠΌΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ (C/C++, Java, Pascal, FORTRAN) ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π½Π° ΠΏΠΎΡΡΠ΄ΠΎΠΊ ΡΠΎΠΊΡΠ°ΡΠΈΡΡ Π²ΡΠ΅ΠΌΡ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΈΠΏΠΎΠ²ΡΡ Π·Π°Π΄Π°Ρ ΠΈ Π·Π½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΠΏΡΠΎΡΠ°Π΅Ρ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΡ Π½ΠΎΠ²ΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΠΎΠ².
MATLAB ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»ΡΠ΅Ρ ΡΠΎΠ±ΠΎΠΉ ΠΎΡΠ½ΠΎΠ²Ρ Π²ΡΠ΅Π³ΠΎ ΡΠ΅ΠΌΠ΅ΠΉΡΡΠ²Π° ΠΏΡΠΎΠ΄ΡΠΊΡΠΎΠ² MathWorks ΠΈ ΡΠ²Π»ΡΠ΅ΡΡΡ Π³Π»Π°Π²Π½ΡΠΌ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠΎΠΌ Π΄Π»Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΡΠΈΡΠΎΠΊΠΎΠ³ΠΎ ΡΠΏΠ΅ΠΊΡΡΠ° Π½Π°ΡΡΠ½ΡΡ ΠΈ ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΡ Π·Π°Π΄Π°Ρ, Π² ΡΠ°ΠΊΠΈΡ ΠΎΠ±Π»Π°ΡΡΡΡ ΠΊΠ°ΠΊ: ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² ΠΈ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠΈΡΡΠ΅ΠΌ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ, ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΊΠΎΠΌΠΌΡΠ½ΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½ΡΡ ΡΠΈΡΡΠ΅ΠΌ, ΠΎΠ±ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠΈΠ³Π½Π°Π»ΠΎΠ² ΠΈ ΠΈΠ·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½ΠΈΠΉ, ΠΈΠ·ΠΌΠ΅ΡΠ΅Π½ΠΈΠ΅ ΡΠΈΠ³Π½Π°Π»ΠΎΠ² ΠΈ ΡΠ΅ΡΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅, ΡΠΈΠ½Π°Π½ΡΠΎΠ²ΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅, Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½Π°Ρ Π±ΠΈΠΎΠ»ΠΎΠ³ΠΈΡ ΠΈ Π΄Ρ.
Π―Π΄ΡΠΎ MATLAB ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½ΠΎ ΠΏΡΠΎΡΡΠΎ ΡΠ°Π±ΠΎΡΠ°ΡΡ Ρ ΠΌΠ°ΡΡΠΈΡΠ°ΠΌΠΈ ΡΠ΅Π°Π»ΡΠ½ΡΡ , ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ½ΡΡ ΠΈ Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΈΠΏΠΎΠ² Π΄Π°Π½Π½ΡΡ ΠΈ ΡΠΎ ΡΡΡΡΠΊΡΡΡΠ°ΠΌΠΈ Π΄Π°Π½Π½ΡΡ ΠΈ ΡΠ°Π±Π»ΠΈΡΠ°ΠΌΠΈ ΠΏΠΎΠΈΡΠΊΠ°.
MATLAB cΠΎΠ΄Π΅ΡΠΆΠΈΡ Π²ΡΡΡΠΎΠ΅Π½Π½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΡ (LAPACK, BLAS), Π±ΡΡΡΡΠΎΠ³ΠΎ ΠΏΡΠ΅ΠΎΠ±ΡΠ°Π·ΠΎΠ²Π°Π½ΠΈΡ Π€ΡΡΡΠ΅ (FFTW), ΡΡΠ½ΠΊΡΠΈΠΈ Π΄Π»Ρ ΡΠ°Π±ΠΎΡΡ Ρ ΠΏΠΎΠ»ΠΈΠ½ΠΎΠΌΠ°ΠΌΠΈ, ΡΡΠ½ΠΊΡΠΈΠΈ Π±Π°Π·ΠΎΠ²ΠΎΠΉ ΡΡΠ°ΡΠΈΡΡΠΈΠΊΠΈ ΠΈ ΡΠΈΡΠ»Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΡ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½ΡΡ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ; ΡΠ°ΡΡΠΈΡΠ΅Π½Π½ΡΠ΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π±ΠΈΠ±Π»ΠΈΠΎΡΠ΅ΠΊΠΈ Π΄Π»Ρ Intel MKL.
ΠΡΠ΅ Π²ΡΡΡΠΎΠ΅Π½Π½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΡΠ΄ΡΠ° MATLAB ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΠΈ ΠΎΠΏΡΠΈΠΌΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ ΡΠΏΠ΅ΡΠΈΠ°Π»ΠΈΡΡΠ°ΠΌΠΈ ΠΈ ΡΠ°Π±ΠΎΡΠ°ΡΡ Π±ΡΡΡΡΠ΅Π΅ ΠΈΠ»ΠΈ ΡΠ°ΠΊ ΠΆΠ΅, ΠΊΠ°ΠΊ ΠΈΡ ΡΠΊΠ²ΠΈΠ²Π°Π»Π΅Π½Ρ Π½Π° C/C++.βββ
MathWorks MATLAB R2021b v9.11 ΡΡΡΡΠΊΠ°Ρ Π²Π΅ΡΡΠΈΡ Ρ ΠΊΠ»ΡΡΠΎΠΌ
MATLAB β ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ° ΠΎΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΡΠΈΠΊΠ° MathWorks, ΠΊΠΎΡΠΎΡΠ°Ρ ΠΎΠ±Π»Π°Π΄Π°Π΅Ρ ΡΠΈΡΠΎΠΊΠΈΠΌ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΡΠΌ Π½Π°Π±ΠΎΡΠΎΠΌ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠΎΠ², ΡΡΠΎΠ±Ρ Π°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°ΡΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ, ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°ΡΡ Π°Π»Π³ΠΎΡΠΈΡΠΌΡ ΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΡΡ Π²ΡΠ΅Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΈ ΠΏΡΠΈΠ»ΠΎΠΆΠ΅Π½ΠΈΡ. ΠΠ° Π΄Π°Π½Π½ΠΎΠΉ ΡΡΡΠ°Π½ΠΈΡΠ΅ Π²Ρ ΠΌΠΎΠΆΠ΅ΡΠ΅ ΡΠΊΠ°ΡΠ°ΡΡ ΡΡΠΈΠ»ΠΈΡΡ Π±Π΅ΡΠΏΠ»Π°ΡΠ½ΠΎ Π² ΡΡΡΡΠΊΠΎΠΉ Π²Π΅ΡΡΠΈΠΈ.
MathWorks MATLAB β Π²ΡΡΠΎΠΊΠΎΠΊΠ°ΡΠ΅ΡΡΠ²Π΅Π½Π½ΡΠΉ ΡΠ·ΡΠΊ ΠΈ ΠΏΠ»Π°ΡΡΠΎΡΠΌΠ° Π΄Π»Ρ Π½Π°ΠΏΠΈΡΠ°Π½ΠΈΡ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ, ΡΠ°ΡΡΠ΅ΡΠΎΠ² ΠΈ Π΄Π΅ΠΌΠΎΠ½ΡΡΡΠ°ΡΠΈΠΈ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ². Π ΠΎΡΠ»ΠΈΡΠΈΠ΅ ΠΎΡ Π΄ΡΡΠ³ΠΈΡ ΡΠ·ΡΠΊΠΎΠ² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ, ΠΈΠΌΠ΅Π΅Ρ Π±ΠΎΠ»Π΅Π΅ Π±ΡΡΡΡΡΡ ΡΠ΅Π°ΠΊΡΠΈΡ Π½Π° ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ ΡΡΠ°Π½Π΄Π°ΡΡΠ½ΡΡ Π·Π°Π΄Π°Ρ ΠΈ Π²ΡΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ°.
ΠΠ°ΡΠΎΠ»Ρ ΠΊΠΎ Π²ΡΠ΅ΠΌ Π°ΡΡ ΠΈΠ²Π°ΠΌ: 1progs
ΠΠ½Π°Π»ΠΈΠ· ΡΠΎΠ·Π΄Π°Π²Π°Π΅ΠΌΠΎΠ³ΠΎ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠ³ΠΎ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ΅Π½ Π² ΡΠ΅ΠΆΠΈΠΌΠ΅ Π½Π°ΡΡΠΎΡΡΠ΅Π³ΠΎ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ. ΠΡΠΎΠ³ΡΠ°ΠΌΠΌΠ° ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅Ρ ΠΈΠ½ΡΠ΅Π³ΡΠΈΡΠΎΠ²Π°Π½Π½ΡΠ΅ ΠΎΠΏΡΠΈΠΈ, Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΡΡΡΠΈΠ΅ ΡΠΎ ΡΠ»ΠΎΠΆΠ½ΡΠΌΠΈ ΠΈ ΠΈΠ½ΡΠ΅Π»Π»Π΅ΠΊΡΡΠ°Π»ΡΠ½ΡΠΌΠΈ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΠΌΠΈ ΠΌΠ°ΡΡΠΈΡΠ°ΠΌΠΈ. ΠΠΈΠ½Π΅ΠΉΠ½Π°Ρ Π°Π»Π³Π΅Π±ΡΠ° Ρ Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΠ·ΡΠ΅Ρ Π²Π½ΡΡΡΠ΅Π½Π½ΠΈΠ΅ ΠΎΠΏΡΠΈΠΈ ΠΏΠ»Π°ΡΡΠΎΡΠΌΡ.
ΠΠ½ΡΠ΅ΡΡΠ΅ΠΉΡ ΡΠΎΡΡΠΎΠΈΡ ΠΈΠ· ΡΠ΅ΡΡΡΠ΅Ρ ΠΎΠΊΠΎΠ½:
ΠΡΠΎΠ³ΡΠ°ΠΌΠΌΠ° Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΡΠ΅Ρ ΡΠΎ Π²ΡΠ΅ΠΌΠΈ Π²Π΅ΡΡΠΈΡΠΌΠΈ ΠΠ Windows, ΠΊΡΠΎΠΌΠ΅ XP, Π½ΠΎ ΠΈΠΌΠ΅Π΅Ρ Π²ΡΡΠΎΠΊΠΈΠ΅ ΡΡΠ΅Π±ΠΎΠ²Π°Π½ΠΈΡ ΠΊ ΡΠΈΡΡΠ΅ΠΌΠ΅. ΠΡΠ»ΠΈ ΠΡ ΡΠΊΠ°ΡΠ°Π΅ΡΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ Ρ ΠΊΠ»ΡΡΠΎΠΌ, ΡΠΎ ΡΠΌΠΎΠΆΠ΅ΡΠ΅ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΡ Π²ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ.
ΠΠΈΡΠ°Ρ ΡΡΡΠ»ΠΊΠ° ΠΈΠ»ΠΈ ΠΎΠ±Π½ΠΎΠ²ΠΈΠ»Π°ΡΡ Π²Π΅ΡΡΠΈΡ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ? ΠΠ°ΠΏΠΈΡΠΈΡΠ΅ ΠΎΠ± ΡΡΠΎΠΌ Π² ΠΊΠΎΠΌΠΌΠ΅Π½ΡΠ°ΡΠΈΡΡ , ΠΎΠ±ΡΠ·Π°ΡΠ΅Π»ΡΠ½ΠΎ ΠΎΠ±Π½ΠΎΠ²ΠΈΠΌ!
ΠΠ½Π°Π»ΠΎΠ³ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ
ΠΠΎΡ ΠΎΠΆΠΈΠ΅ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΡ ΡΠΌΠΎΡΡΠΈΡΠ΅ Π² Π½Π°ΡΠΈΡ ΠΏΠΎΠ΄Π±ΠΎΡΠΊΠ°Ρ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌ