M functions. Auxiliary M and other functions. Software Development Tools

Russian-English translation of M-FUNCTION

Voskoboynikov B.S., Mitrovich V.L.. Russian-English dictionary of mechanical engineering and production automation. Russian-English dictionary of mechanical engineering and manufacturing automation. 2003

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More meanings of the word and translation of M-FUNCTION from English into Russian in English-Russian dictionaries and from Russian into English in Russian-English dictionaries.

More meanings of this word and English-Russian, Russian-English translations for the word “M-FUNCTIONS” in dictionaries.

• FUNCTIONS - Generic
  
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• UNDERTAKE - Ch. 1) undertake, perform Syn: launch 2) take responsibility (for doing something) She undertook to complete the ...
  
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• FUNCTIONS - Functions functions: cashier ~ duties of a cashier ceremonial ~ formalities custodian ~ functions of a guardian for managing the assets of a minor functions: cashier ~ ...
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• FOR - (full form); (reduced form) 1. conjunction 1) for; due to the fact that (introduces a subordinate reason) This is no party question, for ...
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• FOR - (full form); fə (reduced form) 1. conjunction 1) for; due to the fact that (introduces a subordinate reason...
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• NUMER - A number approximately equal to 2.718, often found in mathematics and science. For example, when a radioactive substance decays over time...
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• FUNCTIONS - FUNCTIONS THEORY In natural sciences. Analytical functions are widely used in some areas of science and technology simply because they provide...
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• FUNCTIONS - FUNCTIONS THEORY The theory of measure and integration is an important section of the general theory of mathematical functions, originating from the works of A. Lebesgue (1906) on ...
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• TURKEY - TURKEY: NATURE The relief is dominated by the Pontic Mountains (Kure and Ilgaz ranges), which stretch along the coast in an eastern direction. In most...
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• USSR - UNION OF SOVIET SOCIALIST REPUBLICS, USSR February Revolution. Military defeats on the fronts of the First World War and growing economic chaos caused public...
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• HEART - HEART Until the beginning of the 16th century. there was no understanding of heart disease; it was believed that any damage to this organ would inevitably lead to...
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• SERIES - Many problems in mathematics lead to formulas containing infinite sums, for example, or Such sums are called infinite series, and their terms ...
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• RUSSIAN - RUSSIAN FEDERATION: NATURE Most of the territory of Russia is occupied by plains. The Russian (East European) Plain is located west of the Ural Mountains. Average height...
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• MEXICO - MEXICO: NATURE Most of Mexico is occupied by the Mexican Highlands, passing in the north into the high plains and plateaus of Texas and New Mexico; With …
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Other functions (M functions)

Other waterjet cutting functions are programmed using the letter M followed by 2 single digit numbers. This system has several functions:

M00 Program stop

M02 Program end

M30 Ending the program and returning to the beginning

M71-79 Incorrect functioning plus output

Now we will look at the execution of function M in detail

1. M00 - Program stop

Example: When the CNC system of a waterjet cutting machine reads the M00 code in the block, it stops the program. To start the program, you must press the power button again.

2. M02 - End of program

Example: This code indicates the end of the program and performs the main function of resetting the waterjet CNC system.

3. M30 - Completion of the program with return to the beginning

Example: This function is similar to function M02 plus the CNC system of the waterjet cutting unit returns to the first block of the program start.

4. M71-79 Incorrect functioning plus output

Format: M71 Example: The CNC waterjet cutting system sets this function and the sequence of operations is as follows:

control of the corresponding transmission, connection

delay time 400 m/s

breakdown No. 1

M71- stopping the oil pump of the waterjet cutting machine

M71 usually occurs before M02, which indicates the oil pump stops after cutting. This function is the same as pressing the stop button.

M72 - water pump stop

When M72 is illuminated, the pump motor stops running. This function is the same as the pump stop button for waterjet cutting equipment.

M73 - start of high pressure water supply system

When M73 is illuminated, the high pressure water supply valve opens. This function is the same as the push button function of the high pressure water system.

M74 - stop high pressure water supply system

When M74 is displayed, the high pressure water supply valve closes. This function is the same as the function of pressing the stop button of the water supply system

under high pressure.

M75 - opening the sand supply valve

The appearance of M 75 means the opening of the sand supply valve. This function is the same as pressing the button to open the waterjet sand valve.

M76 - closing the sand supply valve

The appearance of M 76 means the sand supply valve is closing. This function is the same as the function of pressing the sand valve close button.

F, S, T Functions.

1. F-feed selection function.

The feed selection function is usually called the F function. With this function, you can directly control the feed rate on each axis. The F function can be designated by the letter F and the numbers that follow the letter, as well as the designation of the feed rate, which is expressed in mm/min.

The feed speed in this system varies from 9 to 1300 mm/min. The speed of waterjet cutting can be chosen arbitrarily depending on the required cutting conditions.

2. T - tool selection function.

The tool selection function is also called the T function. This function is used to select a tool. The tool selection function is designated by the letter T and numbers that are placed after the designation T. The system contains up to 20 names of tool selection parameters, from T01 to T20. In PARAM mode, press the F2 button and the screen will display 20 tool selection parameters. The operator can select any parameter D button on the waterjet screen depending on the tool diameter.

If the program requires correction for the radius of the waterjet cutting tool, the control system can refer to the corresponding parameter to correct it.

An important example of a closed class is the class of monotone functions. We will prove the fact that monotone functions form a closed class later, but for now let’s get acquainted with what a monotone Boolean function is.

On the set B=0,1 we introduce full order: we assume that 0<1. Нам придётся иметь дело с функциями от n переменных, поэтому полезно ввести частичное упорядочение в булевом пространстве В n .

Definition 1. Let b=(b 1 b 2 ...b n) and b=(b 1 b 2 ...b n) are elements from B n. We will say that b precedes (is younger than) c, and denote bv if b k is in k for k=1,2,...,n, and for at least one k there is a strict inequality.

Example. b=(001100), c=(001110); b 1 =c 1, b 2 =c 2, b 3 =c 3, b 4 =c 4, b 5<в 5 , б 6 =в 6 . Значит, бв.

Definition 2. Two vectors b and v are said to be comparable to each other if bv or vb. Otherwise, the vectors are considered incomparable. This order is called partial because not all elements from B n are comparable. Therefore there is no need to confuse partial order on B n s complete the ordering that was used when defining a Boolean function as a table or a vector of its values.

Here are a couple of examples of incomparable vectors.

1. b =(1100), c =(0110). Here b 1 > c 1, b 2 = c 2, b 3< 3 , б 4 =в 4 .

2. b =(01), c =(10). Here b 1< в 1 , б 2 >at 2 .

From the examples it is clear that incomparable sets are those in which there are components of type (01) in one set and (10) in another set in the corresponding places.

Definition 3. A function f(x 1 ,...,x n) is called monotonic (belongs to class M) if for any two comparable sets b, in B n, from the fact that b precedes c, it follows that f(b) no more than f(), that is, bv f(b) f(c).

If there is a pair of sets such that bw, but f(b) > f(c), then the function f(x1,...,xn) is non-monotonic. By analogy with continuous functions that are studied in the course of mathematical analysis, functions of the algebra of logic can be it would be called non-decreasing. But since we will not deal with non-increasing functions, we can simply talk about monotony..

Example 20. The identity function f(x) = x is monotone, since b=(0) (1)=c and f(b)=0< 1=f()

Example 21. f(x,y) = xy is a monotonic function.

Indeed, sets (01) and (10) are incomparable; we will not take them into account. For other sets we have:

(00)-- (11) and f(0,0)=0 1= f(1,1).

(01) (11) and f(0,1)=1 1= f(1,1).

(10)-- (11) and f(1,0)=1 1= f(1,1).

We have verified that xy is equal to 0 only on the set (00), which precedes all other sets, so that the condition for the monotonicity of the function is satisfied.

Example 22. f(x,y)=x&y is a monotonic function, because is equal to 1 only on the set (11), which is preceded by all the others.

Example 23. The constants 0 and 1 are monotonic functions, because for any sets there will be f(b)=f(c).

Example 24. f(x)=x" is a non-monotonic function, because for b=(0) and b=(1) we have bv, but f(b)=1> 0=f(c).

Example 25. f(x,y)=xy is a non-monotonic function.

Really,

(00)---- (01) and f(0,0)=1 1=f(1,1) ,

(10)---- (11) and f(1,0)=0 1=f(1,1).

But with (00)---- (10) we get

f(0,0)=1 > 0=f(1,0).

The condition for a function to be monotonic is not met!

Example 26. Let us determine the monotonicity of the addition function modulo 2:

Sets (01) and (10) are incomparable; we will not take them into account.

For other sets we have:

(00) (01) and f(0,0)=0 1= f(0,1).

(00)-- (10) and f(0,0)=0 1= f(1,0).

(00) (11) and f(0,0)=0 0= f(1,1).

(10) (11) and f(1,0)=1 > 0= f(1,1).

The last condition indicates that the function x+y is non-monotonic.

Now the capabilities of the system significantly exceed the capabilities of the original version of the Matrix Laboratory. Today's MATLAB, the brainchild of The MathWorks, Inc., is a highly efficient language for engineering and scientific computing. It supports mathematical calculations, scientific graphics visualization, and programming using an easy-to-learn operating environment. The most famous areas of application of the MATLAB system:

Mathematics and Computing;

Algorithm development;

Computational experiment, simulation modeling, prototyping;

Data analysis, research and visualization of results;

Scientific and engineering graphics;

Application development, including graphical user interface.

MATLAB is an interactive system whose main object is an array, for which the dimension does not need to be specified explicitly. This makes it possible to solve many computational problems associated with vector-matrix formulations.

Version MATLAB 6.1 is the penultimate achievement of the developers (the last was MATLAB 6.5).

The MATLAB system is both an operating environment and a programming language. One of the system's greatest strengths is that reusable programs can be written in MATLAB. The user can write specialized functions and programs himself, which are compiled in the form of M-files. That is why application software packages - MATLAB Application Toolboxes, which are part of the MATLAB product family, allow you to be at the level of the most modern world achievements.

Operating environment of the MATLAB 6.1 system. The operating environment of the MATLAB 6.1 system is a set of interfaces that support communication of this system with the outside world through dialogue with the user via the command line, M-file editor, interaction with external systems Microsoft Word, Excel, etc.

After starting the MATLAB program, its main window appears on the computer display, containing menu, tool ruler with buttons and client side of the window with an invitation sign. This window is usually called command window MATLAB systems (Fig. 1).

Menu File(Fig. 2) combines the usual functions: Edit responsible for content changes Window commands (undo, repeat, cut, copy, paste, select all, delete, etc.) and for clearing some MATLAB windows; menu View– for the design of the desktop; Web menu – launches Web pages from the Internet; menu Window– works with the M-file editor/debugger (closes all M-files, makes one of them current); menu Help– Works with reference documentation and demos.

The option deserves special consideration Preferences... (selection of characteristics), which, when selected, opens a window that includes a tree of objects on the left (Fig. 3), and their possible characteristics on the right.

Dashboard The command window of the MATLAB system allows for easy access to operations on M-files: creating a new M-file; opening an existing M-file; deleting a fragment; copying a fragment; inserting a fragment; restoring only the completed operation, etc.

IN client side MATLAB command window, after the prompt, you can enter various numbers, variable names, and operation signs, which together make up some expressions. Pressing Enter causes MATLAB to evaluate the expression or, if it does not evaluate, to repeat it. Although the sign ";" at the end of the line suppresses the output of the result (echo output).

Thus, in the client part of the MATLAB command window, the user can immediately write commands that form individual calculations or an entire program.

So, the structural parts of the MATLAB command window were analyzed. But besides them, there are several more MATLAB elements that help when working:

Teams- a window containing previously entered commands in the Command Window (“command history”).

Workspace is an area of ​​MATLAB memory in which system variables are located. The contents of this area can be viewed from the command line using the commands who(only displays variable names) and whos(displays information about the sizes of arrays and the type of variable) or in a separate window under the same name. In it you can perform the following operations: load a data file, save the Workspace as (commands allow you to open and save the contents of the workspace in a binary MAT file), delete selected variables; open the selected variables (where you can change their value). In addition, in the Edit menu you can clear both the Command Window and Command History, as well as the Workspace (or run the command in the Command Window: clear).

To save and launch the Workspace, you can use the load and save commands.

Example.

Saving to: matlab.mat

>> save my.mat

>> load my.mat

>> save my2

>> load my2

Current catalog– a window that is a kind of “guide” through MATLAB catalogs.

Launch Editor– a window displaying a tree of structural elements of MATLAB and other software installed with it, which can be launched by double-left clicking the mouse. For example, this window might look like Figure 9.

M-file editor/debugger– one of the most important structural parts of MATLAB, which can be opened by selecting the appropriate option in the main menu, on the toolbar, or called from the command line with the edit or edit command<имя М-файла>and allows you to create and edit M-files.

The editor/debugger supports the following operations: creating a new M-file; opening an existing M-file; saving the M-file on disk; deleting a fragment; copying a fragment; inserting a fragment; help; set/delete control point; continue execution, etc.

GUIDE is a graphical user interface in which complete applications are created.

Interactive work session. M-files. Interactive mode is a user mode for entering commands and expressions from the keyboard, the execution of which produces the necessary numerical results that can be easily and quickly visualized using the built-in graphical tools of the MATLAB package. But using this mode to create and save a specific program is not possible. Therefore, the creators of MATLAB, in addition to the Command Window, in which the interactive mode is implemented, identified special files containing MATLAB language codes and called them M-files (*.m). To create an M-file, use a text editor (M-file editor/debugger).

Working in the M-file editor. Working from the MatLab command line becomes difficult if you need to enter a lot of commands and change them frequently. The most convenient way to execute commands is to use M-files in which you can type commands, execute them all at once or in parts, save them in a file and use them in the future. To work with M- the editor is intended for files M-files. Using the editor, you can create your own functions and call them, including from the command line.

Expand the File menu of the main MatLab window and in the New item select the M-file sub-item. A new file opens in the editor window M-files (Fig. 10). Let's write to a file a program for calculating the arithmetic mean

variable a and b, then save it with the name fun1.m. Compare the methods for solving the problem presented in the table.