Computer experiment Computer experiment To give life to new design boxes, to bring new technical solutions to the market. Ill stage

computer experiment With the model of the system at її prescience and design, it is carried out with the method of disclaiming information about the characteristics of the process of functioning of the given object. Basically, the planning of computer experiments is the removal of the necessary information about the system when it is interconnected with resources (the machine hour, memory, etc.). Up to the number of private enterprises, which are carried out during the planning of computer experiments, the change in the machine hour's vitrates per model is introduced, the accuracy and reliability of the model results are improved, and the model's adequacy is reconsidered.

The efficiency of computer experiments with models is easy to lay down according to the choice of the experiment plan, so as the plan itself is the initial exchange and the procedure for calculating the IOM, taking the accumulation and statistical processing of the results of the system model . That is, the main task of planning computer experiments from the model is formulated as follows: it is necessary to correct the information about the model object, given in the model's algorithm (programs), in case of minimally rewriting the process of changing the resources of the windows.

By the experience of computer experiments before natural ones є the ability to re-educate minds to an experiment with a model of a pre-juvenile system . An absolute dignity over natural ones is the simplicity of the adaptation and renewal of computer experiments, which allows the establishment of the last and the heuristic reception and planning, as it is possible to discover unrealized experiments in the experiments. In case of a robot with a computer model, it is possible to change the experiment for an hour, the necessary for the analysis of the results and to take the decision about this further change (for example, about the need to change the value of the characteristics of the model).

There are few computer experiments є those whose results are some of the caution to be found in one or the other decisive ones, and because they have less information in them, less in the neighboring ones.

One hundred percent to the base of these computer experiments means the manipulation of the data, as long as it is supplied with the help of the DBMS tools. The meta for the experiment can be formed on the basis of the spilnoy model of the model and from the urahuvannya of a particular corystuvach. For example, є tribute base "Dean's office". The main meta of the model - management initial process... If it is necessary to draw up information about the success of students, it is possible to power up, so that there is an experiment for vibrating the necessary information.

The toolkit of the middle class of the DBMS allows the viconuvati of the offensive operations on the data:

1) sortsuvannya - okayvannya tribute for being-like I will acquaint;

2) poshuk (filtrats_ya) - vib_r danikh, scho satisfied with the deyakom umov_;

3) the root of the rosary fields - the transformation of the tribute into the first form on the presentation of the formulas.

The management of the information model is irregularly tied to the distribution of various criteria for the message and the variety of tributes. On the view of paper card indexes, de sorting can be done according to one or two criteria, and the joke can be done by hand - by sorting out cards, the computer databases allow you to ask whether the sorting is formed according to different fields and different kinds of custom. A computer without time-clock vitrates according to the given criterion of the variety, or any information will be required.

For successful robots with the information model, the software middle of the data bases allows you to open the fields, in which the information is transformed into the original form. For example, for the assessments in the semester, for additional special functions, it is possible to develop an average student's progress ball. Such rosrakhunkovy fields are victorious, either as additional information, or as a criterion for joke and variety.

The computer experiment includes two stages: testing (revision of the correctness of operations) and conducting the experiment with real data.

For the folding of formulas for rosary fields and filters, it is necessary to change to the correctness of their robots. For which it is possible to enter test records, for which the result of the operation is in advance.

The computer experiment ends with the visualization of the results in the manual for analysis and improvement of the solution. One of the ports of computer information models is the ability to new forms submission of wiki information, called by sounds. Skin calls to avenge information, which will lead to a specific experiment. The importance of the computer's calls in the field is that the stench allows the information to be grouped according to the given signs, to enter the fields of records by groups and in general according to all the forms of the base and in the presented image for the presentation

Seedstock allows you to create and take on a sprinkle of typical, often vicious forms of sounds. Based on the results of these experiments, it is possible to create a time-consuming sound, which can be seen when copying it into a text document or creating it. Deyaky experiments in zagalі do not result in folding sound. For example, it is necessary to vibrate the student himself for the awarding of the scholarship. It is enough to spend a grade for the average ball of evaluations in the semester. Shukan will take revenge on the first entry in the list of students.


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| Planning lessons at the Navchalny Rik | Basic steps of the model

lesson 2
Basic steps of the model





Having embraced the topic, you see:

SHO TAKE MODELUVANIA;
- you can serve as a prototype for a model;
- how to borrow a model in the capacity of people;
- what are the main stages of the model;
- also a computer model;
- also a computer experiment.

computer experiment

To give life to new design boxes, to introduce new technical solutions into production, or to reconsider new ideas, an experiment is required. Experiment - tse dosvid, which is carried out with an object or model. Winning the Polyaga at the Victory Day of the Day, as a reaction to the experimental study at the center of the event.

At school, spend your time in the lessons of biology, chemistry, physics, geography.

Experiments should be carried out when testing new products at enterprises. A special installation has been installed for tsyo vikoristovutsya, scho allows you to carry out an experiment in laboratory minds, or the real product itself is suitable for any kind of viprobuvan (natural experiment). For the advancement, for example, of the exploitative authorities of some kind of unit or university, they put it in a thermostat, freeze it in special chambers, see it on the wall stands, let it go from the hands of P. And what about a missile?

Laboratory and natural experiments in order to create great material vitrates for an hour, even if it’s not the least, it’s even greater.

With the development of computer technology, a new unique method of advancement appeared - a computer experiment. On the help, and only for the replacement of experimental pupils and viprobovalny stands at the bagatech vipads came the computers of the last models. The stage of carrying out the computer experiment includes two stages: folding the plan for the experiment and carrying out the follow-up.

experiment plan

The plan of the experiment is guilty of clearly displaying the last of the robot from the model. The first point of such a plan is to start testing the model.

Testing is the process of revising the correctness of the prompted model.

The test is a set of vicious tributes, which allows for the importance of right - the correctness of prompting the matter.

We will make sure that the correctness of the results of the model is correct, it is necessary to: ♦ reconsider the breakdowns of the algorithm to induce the model; ♦ to change, the model is prompted to correctly represent the power of the original, as it was during the model.

To verify the correctness of the algorithm and induce the model to test a set of test data, for some cases the result is seen in advance or, in front of the values, in other ways.

For example, if you are victorious when you model the formulas, then I will give you the need to give a selection of options for the previous donations and I will hand them over to you. Tse testі zavdannya. If the model is motivated, you can test with the same options from the previous tributes and adjust the results of the model with the patterns that are taken out of the way. If the results are broken, then the breaking algorithm is wrong, if not, it’s a demand for shukati and to understand the reason for the breakdown. The test data can absolutely not represent the real situation and not carry a message. However, in the process of testing, the results can be taken away from you on a thought about the change of this informational or symbolic model, the first for everything in this part, the meaning of the word is laid down.

When the model changes, the model is prompted to represent the power of the original, as it was during the model, it is required to change the test stock with real data.

Carrying out doslіdzhennya

When testing, if you have a feeling for the correctness of the prompted model, you can go ahead without a second before the end of the day.

The plan is guilty of transferring the experiment, or a series of experiments, which are responsible for the purposes of the model. The skin experiment is guilty of supervising the comprehension of the students, which serves as the basis for the analysis of the results of the model and the acceptance of decisions.

The scheme of preparation and carrying out the computer experiment is directed to the little one 11.7.

Small. 11.7. Scheme of a computer experiment

Analysis of model results

Kintseva meta modeling is a highly appreciated solution, which is guilty but virobbed on the basis of an all-in-one analysis of model results. Tsey etap virishalny - if you will continue to sell it, or if you will finish it. On little 11.2 it can be seen that the stage of analysis of the results cannot be carried out autonomously. Otrimanі visnovki often take a preliminary series of experiments, and in an hour - a change of work.

The basis of vyroblennya solution є test results and experiments. Even the results do not correspond to the goals of the set designation, that is, on the previous stages of the boule, the pardons were allowed. It may be that the problem statement is wrong, or it’s not forgiven to induce the information model, or it’s not too far from the method, or the middle of the model, or the destruction of technological primes when prompted by the model. If such a pomp is revealed, then you will need to correct the model in order to turn up to one of the preceding stages. The process is repeated until quiet times, as long as the results of the experiment do not seem to be suitable for the purposes of the model.

Smolder, the need for a memory is needed: a pardon has been revealed - this is also the result. Yak to speak folk wisdom, to join in on graves. The great Russian sings A.S. Pushkin about the writing:

Oh, skіlki us wіdkritіv divnykh
Got to enlighten the spirit
І dosvid, synonyms of important grants,
І genіy, paradoxes friend,
I vipadok, god of wine ...

Control nutrition and supervision

1. Name the two main types of setting the modeling tasks.

2. At the home of G. Oster's "problem book" є the next task is:

Evil chaklunka, pratsuyuchi do not lay hands, I will transform into a caterpillar for 30 princesses a day. How many days do you know how to transform 810 princesses into a caterpillar? How many princesses a day will be transformed into a caterpillar, how can you fit into a robot in 15 days?
Yake food can be brought to the type "wow bude, yaksho ...", and what - to the type "yak zrobiti, schob ..."?

3. Deal with the best of all models.

4. Formalizu zhartivlivu zavdannya z "problem book" G. Oster:

Three booths, as they pass 27 km on the same road, one to one, they drove two dogs to one in the same hour. The first person to run from shvidkistu 4 km / year, and the friend - 5 km / year.
Will there be a beyka in an hour?

5. Name the yakomog more characteristics of the object "pair of cherevikiv". Store the information model of the object for business purposes:
■ vibir swirling for a tourist trip;
■ pidbir of an incoming box for swelling;
■ buying a cream for a quick glance behind the bloat.

6. What are the characteristics of the diet for the recommendation on the choice of the profession?

7. What are the reasons the computer is widely used in the model?

8. Name your computer model tools.

9. So also a computer experiment? Aim the butt.

10. What kind of test model?

11. What kind of gratuities are used in the process of modeling? What is the need for robiti, if a pardon has been revealed?

12. Who has the analysis of the results of the model? Yakі visnovki want to be timid?

Computer model - the basis for submitting knowledge in the EOM. Computer model for the people of new information vikorist be-like information, as it is possible to update the EOM for help. Progress in the model of dressings in the design of computer modeling systems, and progress in information technology - in the actualization of the information on the model on computers, from the banks of models, methods and software systems, and to allow new models to be selected.

A typical computer model is a numerical experiment, that is, an experiment that the experimenter understands over a pre-sluggish system, or a process beyond the help of an experiment - a computer, a computer middle ground, technology.

The numerical experiment becomes an instrument, a method scientific knowledge, The new technology also, through the growing need for the transition from the advanced linear mathematical models of systems (for those who can achieve the best possible or broken down methods of further development, theory) to the advanced folding and non-linear mathematical models of systems Roughly it seems, our knowledge about the new light is not line, and the processes in the new light are not.

The computational experiment allows for new laws, reconsideration of hypotheses, visualization of the move, etc.

To give life to new design boxes, to introduce new technical solutions into production, or to reconsider new ideas, an experiment is required. In the near past, such an experiment can be carried out either in laboratory minds on special installations for new installations, or on nature, i.e. on the whole kind of virobi, feeding it to all kinds of viprobes.

With the development of the numerical technology, a new unique method of dosage has appeared - a computer experiment. The computer experiment includes the last of the robots from the model, the success of the system directing the computer model over the computer.

Stage 4. Analysis of model results.

Residual meta Modeling is a highly valued solution, which is guilty but virobbed on the basis of an all-in-one analysis of the results. Tsey etap virishalny - if you will continue to sell it, or if you will finish it. You can, you will see the result, so you need to adjust the rejection and review the results. Once you are ready to go, you can take a decision.

The basis for vyroblennya solution є test results and experiments. Even the results do not correspond to the goals of the set designation, that is, the admission of pardons on the previous stages. It can be done either way, either because it’s not forgiven for prompting the information model, or for the near-vibration method, or the middle of the model, or the destruction of technological acceptance when prompting the model. As soon as such graces are revealed, then it is necessary model correction , T. E. Turning up to one of the preceding stages. process repeat until quiet time, as long as the results and the experiment do not appear purposes model bathroom. Smolder, the need for a memory is needed: a pardon has been revealed - this is also the result. Yak to speak folk wisdom, to join in on graves.

program model

ANSYS- the universal software system of the kintsevo-elementary ( MCE) Analysis, іsnuyucha and і develop on the back of the last 30 years, є to reach the popular among the fachіvtsіv in the field of computer engineering ( CAE, Computer-Aided Engineering) and the solution of linear and non-linear, stationary and non-stationary spacious problems of the mechanics of a deformed solid body and structural mechanics (including non-stationary geometrically and physically non-linear problems of contact interconnection of design elements) Model and analysis in certain areas of industry allows the uniqueness of expensive and trivial distribution cycles of the type "design - preparation - viprobation". The practice system based on the geometric kernel Parasolid .

AnyLogic - programmatically secure for imitational model folding systemsі processes, broken Russian company "Ex Jay Technologies" ( English XJ Technologies). Volodya's program graphical center of koristuvach and permissiveness mova java for model distribution .

AnyLogic models can be based on any of the main paradigms of the simulation model: discrete-bottom model, system dynamics, і Agent not model.

System dynamics and discrete-flow (process) modeling, for example, be a development of ideas GPSS- tse traditional fatigue walk, agent model - obviously new. The system dynamics is mainly operated with non-interruptible processes in the clock, while discrete-based and agent-based models are performed with discrete ones.

System dynamics and discretely-advanced models historically affect absolutely different groups of students: management, engineering for organizing and organizing and engineering and marketing of management systems. As a result, three children practically do not overshadow their spirits, as they do not merge one into one.

Until recently, the agent model was in a strictly academic manner. However, the growth-minded person will take on global optimization from the side of business; So people will drink on the software platforms, which allow the integration of development.

Now the approach of the imaginative model on the scale of abstraction is clear. System dynamics, changing individual processes with aggregates, transferring the most advanced level of abstraction. Discrete-subtle model of the practice in the low and middle range. Well, if you want to use an agent model, then you can use it practically on any scale or on any scale. Agents can represent cars, cars or robots in the physical space, a customer or a seller at the middle level, or a competing company at a high level.

When developing models in AnyLogic, it is possible to vikoristvuvat concepts and to simulate decile methods of modeling, for example, in an agent model to vykoristvat to methods of system dynamics for presenting changes to the standpoint of the middle, or in an uninterrupted model of a system of dynamics. For example, I will describe the participants in the supply chain by agents: virobniks, sellers, co-workers, warehouses. At the same time, the virobability is described within the framework of a discrete-base (process) model, de the product of any part - the whole application, and automobiles, poizdi, stackers - resources. The deliveries themselves are presented as discrete podіyа, but at the same time they will drink on a friend without interruption in system-dynamic diagrams. The ability to change the mind allows you to describe the processes of real life, and not to fiddle with the processes of the available mathematical apparatus.

LabVIEW (English Lab oratory V irtual I nstrumentation E ngineering W orkbench) - tse the middle of the rosetteі platform for the display of programs launched on the graphic display of the program "G" company National Instruments(USA). The first version of LabVIEW was released in 1986 for Apple Macintosh, In Danish hour there is a version for UNIX, GNU / Linux, Mac OS and the most popular and popular versions for Microsoft Windows.

LabVIEW can be used for sampling and data processing systems, as well as for managing technical objects and technological processes. Ideologically, LabVIEW is even close to SCADA-The system, albeit on the view of them in a larger world, is not based on the style in the region APCS, Skіlki in the area ASNI.

MATLAB(Quick view English « Matrix Laboratory» ) - term, which is applied to the package of applied programs for the updating of technical tasks, as well as to the list of applications in the whole package. MATLAB more than 1,000,000 engineers and scientific practitioners operating systems, including GNU / Linux, Mac OS, Solarisі Microsoft Windows .

Maple- software package, computer algebra system... Є a product of Waterloo Maple Inc. 1984 rock release and release on the market of software products, based on folding mathematical calculations, visualization of data and models.

The Maple system is designed for character enumeration, I want a number of inputs and for numerical solution Differential Equivalents i znakhozhenya integraraliv... Volodya rozvinenny graphic zasobami. maє vlasny mova programuvannya, scho nagaduє Pascal.

Mathematica - computer algebra system companies Wolfram Research... take revenge on the bezlich function both for analytical conversions, as well as for numerical problems. In addition, the program will receive the robot from graphі sound, Including the prompting of two grafikiv functions, painting of happy geometric figures, importі export image and sound.

Forecasting tools- software products that can provide the function of forecasting. forecast- one of the most popular types of people on the current day. Even in the old days, forecasts allowed people to rozrahovuvati period on dry land, to give sleepy and millennial darkening and bagatochin. With the emergence of the observational forecasting technique, the laborious post-production development was eliminated. One of the first zasosuvan calculating machines buv razrahunok balistic tractors of projectiles, tobto, in fact, forecast the point of the fall of the projectile to the ground. This type of forecast is called static forecast. Find two main categories of forecasts: static and dynamic. The key idea of ​​the field is that dynamic forecasts give information about the behavior of a pre-sentient object in any significant interval of an hour. At their own pace, static forecasts visualize the state of an illicit object of deprivation at a single moment, as a rule, in such forecasts the factor is an hour, in which the object is known for a change, the role is insignificant. On the current day, there is a great number of tools that allow forecasting. All the stench can be given by the classification for the bagatma signs:

Name to the tool

Sphere vicorystannya

Realized models

It is necessary to prepare a corystuvach

Readiness for exploitation

Microsoft Excel , OpenOffice.org

broad recognition

algorithm, regressive

basic knowledge of statistics

demanded is a road (implementation of models)

Statistica , SPSS , E-views

doslidnitska

a wide range of regression, neurorecording

box product

Matlab

doslіdnitska, rozrobka dodatkіv

algorithmic, regressive, neuromechanical

special mathematical education

required program

SAP APO

business forecast

algorithm

no need for much knowledge

ForecastPro , ForecastX

business forecast

algorithm

no need for much knowledge

box product

Logility

business forecast

algorithm, neuromechanical

no need for much knowledge

demanded sign (for business processes)

ForecastPro SDK

business forecast

algorithm

basic statistics required

software required (integration of software)

iLog , AnyLogic , iThink , MatlabSimulink , GPSS

distribution of dodatk_v, model

імітаційні

required special mathematical education

required program (for specifics of the region)

PC LIRA- a rich and functional software complex, features for the design and construction of industrial and industrial designs Rozrakhunks in the program choose both static and dynamic projects. The basis of rosrahunks є method of kintsevich elements(MCE). The development modules (processors) allow the operation of the processors and the revision of the overriding of steel and concrete structures, model soil, construction of bridges and behavior during installation, etc.

In the presented species, the term "experiment" has a subjective sense. On one side, in a computer experiment, so in real life, you can see the system guides on those changes in parameters, for call in... Yak parameters often vary in temperature, capacity, warehouse. And injected most often it is realized through mechanical, electric or magnetic fields. The difference is only in the fact that the experimenter can handle the real system, while in the computer experiment the behavior of the mathematical model of a real object can be seen. On the other hand, the possibility of adjusting the results for the clear value of the models allows the computer experiment to be performed independently, the information for converting the transmission of analytical theories to the same

From what has been said, it is clear that there is a sense of the power of two new years before the setting of the computer experiment, it was informed by the nature of the task and by the very beginning of the vibration of the model description.

In the first place, using the MD methods, or MC, can transfer the essence of utilized goals, linked with the forecast of the authorities of a particular real system and the settings with a physical experiment. In general, it is possible to carry out forecasts and to carry out further tests in extreme minds, for example, with an overhead grip or temperatures, if a real experiment on other reasons unsparing abo vimagah zanadto great material vitrats. Modeling on computers is often carried out in a single way by eliminating the best report ("microscopic") information about the behavior of a folding molecular system. They especially showed the numerical experiments of the dynamical type with the biological systems: globular cells in the native state, fragments of DNA and RNA. , lipid membranes. In a whole series of vypadkіv otrimanі danіy were forced to glance over, or quite often the change was evident earlier about the structure and function of these objects. At the same time, mothers are on the lookout, and there are some rare and non-valence potentialities in some small models, since it is not possible to approximate the true state of the atom, then the furnishings in the smart new There is a good chance to carry out the solution of the tasks, if they have the potential to calibrate for the most obvious previous data, and only because they also have the potential to get rid of more detailed information about the system. In some cases, the parameters of inter-modal interactions can be based on the principles of knowledge of quantum-chemical designs, which are suitable for more simple model spoluks. When modeling by MD methods or MC, the molecule is not interpreted as the density of electrons and nuclei, but as a system of bound classical particles - atoms. This model is called mechanical model of a molecule .

On the way to setting up a computer experiment, there can be some reasonable (universesal or model-invariant) regularities of behavior of a pre-juvenile system, for such regularities, which are not given by the most common types of specialties єday. So, in general, the computer experiment is aimed at establishing functional links, and not on the number of numerical parameters. Tsya ideology in the most varied forms of presence in the scaling theory of polymers. From the point of view of this approach, the computer model is played in the role of a theoretical instrument, which is the first for everything, allowing the revision of the existing analytical methods of the theory or additional knowledge of the transfer. The interaction between the analytical theory and the computer experiment will be even more fruitful, if both approaches are used to choose identical models. We can use the butt of such a kind of private models of polydimensional molecules. lattice model . On the basis of vikono without theoretical impulses, the rise of those connected with classical solutions, in which sense, the main department of the physical chemistry of polymers about the injection of large interactions on the conformity of the power, for example Let's talk together, call on short-acting forces to see you on the way, as they see it out of the way along the lanterns, if the stench is approaching in the vastness behind the vaping vines. In the lattice model, a real lancer looks like a laman traktorіyu, how to pass through the universities of the correct lattice of a given type: cubic, tetrahedral and іn. The lattice centers are used to transform polymeric lankas (monomers), and to create these lattices - to chemical links in the skeleton of macromolecules. The fence of self-reliant tractors (or, in other words, the unkindness of one-hour consumption of two or more monomers in one rugged university) is a model of common interrelationships (Fig. 1). To the extent that, for example, if the MC method is to be used as a substitute for the substitution of a vaguely inverted language, then such a new conformation is seen as it does not appear in the number of parameters. The development of the lancet on the basis of the conformation of the polymeric lancet. It is followed by an averaging of the necessary characteristics, for example, in the case of the lantsyug R.

Before such models allow for the intelligence, as the volume of modality is infused into the fallowness of the mean-square value by the number of lans at the lancers N . the magnitude , the initial middle dimension of the polymeric ball, the main role in the development of theoretical impulses, and may be vimiryan at the end of the day; Protein to cich pir is not an accurate analytical formula for the growth of fallowness від N when there are common interactions. It is also possible to introduce additional heavy energy between these pairs of Lanoks, as they used lattices in the secondary universities. Varying energy in a computer experiment, falling, waking up, until it clicks the phenomenon, called the transition "ball - bag", if for the strength of intramolecular heavy lifting, the structure of the polydimensional ball crumples into a compact The clarity of the details of such a transition is important for the development of the best zagalnykh uleniye about the move of biological evolution, which has been inoculated until the discovery of globular bricks.

There is a difference in the modification of gritty models, for example, such as in some kind of tinkling sounds between the Lankans they do not mean fixed meanings, but they change in the singing interval, which guarantees that the model does not sound like a tinker. However, all gratkovy models are unified, they stink є discrete, That is, the number of possible conformations of such a system is dependent on a variable (if it is possible to become an astronomical value, at an occasionally small number of lanterns in Lancius). All discrete models may be even more numerically efficient, but, as a rule, can only be reproduced using the Monte Carlo method.

For a number of people continual publicity models of polymers, which are built to change conformation without interruption. Simplest butt - lantsyug, folded given number N solid sacks, lastly z'ednanih with rigid abo springy ties. Such systems can be detected both by the Monte Carlo method and by the method of molecular dynamics.

Computer experiment Computer experiment To give life to new design boxes, to introduce new technical solutions into software, or to convert new ideas, an experiment is required. In the not too distant past, such an experiment can be carried out either in laboratory minds on specially designed installations for new installations, or on nature, so that for a whole kind of virobi, feeding it to everyone. Tse vimagak great material vitrats in an hour. Computers of the last models came to help. When carrying out a computer experiment, the correctness of the models should be revised. Change the behavior of the model with different parameters of the object. Skin experiment supervises comprehension of results. As soon as the results of the computer experiment are to overtake the versatility of solving tasks, then the mercy of the need for shukati in an incorrectly reversed model, or in the algorithm and method of solution. The computer experiment is repeated. To give life to new design boxes, to introduce new technical solutions into production, or to reconsider new ideas, an experiment is required. In the not too distant past, such an experiment can be carried out either in laboratory minds on specially designed installations for new installations, or on nature, so that for a whole kind of virobi, feeding it to everyone. Tse vimagak great material vitrats in an hour. Computers of the last models came to help. When carrying out a computer experiment, the correctness of the models should be revised. Change the behavior of the model with different parameters of the object. Skin experiment supervises comprehension of results. As soon as the results of the computer experiment are superb to the versatility of solving problems, then the mercy of the need for shukati in an incorrectly reversed model or in the algorithm and method of solution. The computation experiment is repeated.


Given the mathematical model, the system of mathematical relations of formulas, the level of irregularities, etc., is displayed, and the process is displayed. Given the mathematical model, the system of mathematical relations of formulas, the level of irregularities, etc., is displayed, and the process is displayed.


Establishment of modeling in small subject areas Establishing of modeling in small subject areas Economics Economics Economics Astronomy Astronomy Astronomy Physics Physics Physics Ecology Ecology Ecology Biology Biology Geography


A machine-building plant, realizing products at agreed prices, having trimmed a singing virgin, vitraising a bag of pennies on the device. Viznachiti vіdnoshennya net income to investment costs. A machine-building plant, realizing products at contractual prices, having trimmed a singing virgin, vitraising a bag of pennies on the device. Viznachiti vіdnoshennya net income to investment costs. Production of production Production of production of production Meta-modeling of the process of production and implementation of products with the aim of eliminating the most pure gain. Koristyuchis ekonomіchnymi formulas to know vіdnoshennya net profit to investments. Meta-modeling of the process of production and implementation of products with the aim of eliminating the most pure gain. Koristyuchis ekonomіchnymi formulas to know vіdnoshennya net profit to investments.


The main parameters of the model are: viruchka, ownership, arrival, profitability, tax on arrival. The main parameters of the model are: viruchka, ownership, arrival, profitability, tax on arrival. Last data: last data: virus B; virus B; Vitrati (Ownership) S. Vitrati (Ownership) S. Some of the parameters known, vikoristovy and the main economical fallowness. Significant arrivals start as a difference between viruchkoy and sovartistyu P = B-S. The main parameters are known, and the main economical deposits. Significant arrivals start as a difference between viruchkoy and sovartistyu P = B-S. Profitability r is calculated by the formula:. Profitability r is calculated by the formula:. The gain, due to the boundary level of profitability of 50%, becomes 50% of the share of the product S, so that S * 50/100 = S / 2, so the tax for the arrival of N is due to the offensive rank: The gain, on the basis of 50% profitability, becomes the characteristics of the products are S, tobto S * 50/100 = S / 2, so the tax on arrival N should start with the offensive rank: if r




Analysis of results Analysis of results Otriman's model allows for the amount of income due to the profitability of the income from the income, automatically pererahovuvati the size of the net income, it knows the cost of the net income before the investment costs. The model has been adopted, which allows in the amount of depletion in terms of profitability, to start the tax on arrival, automatically pererahovuvati the size of the net income, knows the return on the net income to the investment costs. Carrying out a computer experiment demonstrating how the net arrival before the investment costs will be improved when the virus becomes larger and the products will change with the increased costs. Carrying out a computer experiment demonstrating how the net arrival before the investment costs will be improved when the virus becomes larger and the products will change with the increased costs.


Zavdannya. Zavdannya. Visualize the speed of the planets in orbit. To store a computer model sleep system... Setting up the meta model of the magnitude of the speed of the planets in orbit. Ob'єkt modellyuvannya Sonyachna system, elements of the planet. internal budov planets in rozrahunok not taken. We will look at the planet as an element, which may have the following characteristics: name; R - distance from Sontsya (in astronomical units; astronomer. Od. Average from Earth to Sontsya); t - period of wrapping around Sontsya (in rocks); V - orbit (astr.unit / pik), which allows the planet to collapse near Sontsya along the stakes with a constant speed.






Analysis of results Analysis of results 1. Analyze the results and results. How can it be possible for the planet to be closer to Sontsya and make a great shift in orbit? 1. Analyze the results and results. How can it be possible for the planet to be closer to Sontsya and make a great shift in orbit? 2. The model of the Sleeping System є is presented as a static one. When prompted by the model, we were not hunted by the change from the planets to Sontsya before the hour in orbit. For the nobility, as the planet is far away and as close as possible, there is a lot of information about it. If we want to see it as both Earth and Mars, then it’s impossible to avoid time-consuming changes, and here you will have to be victorious as a dynamic model. 2. The model of the Sleeping System є is presented as a static one. When prompted by the model, we were not hunted by the change from the planets to Sontsya before the hour in orbit. For the nobility, like the planet is far away and close to the relationship between people, there is plenty of information. If we want to see it as both Earth and Mars, then it’s impossible to avoid time-consuming changes, and here we will have a dynamic model.




Computer experiment Introduce the data model into the computer. (For example: = 0.5; = 12) To know the kind of rubbing efficiency when the car is going from the fire (given the given place). To know such a kut when the car will be standing on the mountain (with the given efficiency of rubbing). Yaky will be the result, like rubbing zehtuvati by force. Analysis of the results Given the computer model, it is possible to carry out a numerical experiment, the nature of the physical. Changes in the value of the current tribute, you can back up all the changes in the system. Tsikavo respect that in the prompting of the model, the result does not lie either in the mass of the car, or in the accelerated decline.


Zavdannya. Zavdannya. To see if it’s possible to get lost on the Earth only once the water is dazzling and Lake Baikal. On the rocks of Baikal, to ensure the population of the whole world with water? To see if it’s possible to get lost on the Earth only once the water is dazzling and Lake Baikal. On the rocks of Baikal, to ensure the population of the whole world with water?


Model development Model model To inspire a mathematical model, the data is important. Meaning: For the induction of the mathematical model, the given data is significant. Meaning: V - volume of Lake Baikal km3; V - volume of Lake Baikal km3; N - number of population of the Earth 6 billion Chol.; N - number of population of the Earth 6 billion Chol.; p - living water per day for 1 person (in the middle) 300 liters. p - living water per day for 1 person (in the middle) 300 liters. So yak 1l. = 1 dm3 water, it is necessary to visually transfer V water from the lake from km3 to dm3. V (km3) = V * 109 (m3) = V * 1012 (dm3) So yak 1l. = 1 dm3 water, it is necessary to visually transfer V water from the lake from km3 to dm3. V (km3) = V * 109 (m Otzhe, g = (V *) / (N * p * 365) The result is a number of rockets, for the same population of the Earth, Viktorian water and Baikal, meaning g. Otzhe, g = (V *) / (N * p * 365) This is how the electronic table in the formulas display mode:



Zavdannya. Zavdannya. For the production of vaccines at the plant, it is planned to introduce a culture of bacteria. Seemingly, if the bacterium is masa - x p, then in a day you will get to (a-bx) x p, de efficiency a and b lie in the form of bacteria. The plant is taken away for the consumption of vaccine m p bacteria. For the plan it is important for the nobility, as it changes the bacterium in 1, 2, 3, ..., 30 days. Seemingly, if the bacterium is masa - x p, then in a day you get to (a-bx) x p, de-efficiency a and b lie in the form of bacteria. The plant is taken away for the consumption of vaccine m p bacteria. For the plan, it is important to the nobility, as it changes in 1, 2, 3, ..., 30 days ..







Setting the plant Setting the planting About the model є the process of changing the number of population in fallowness every hour. A lot of factors are added to the whole process: ecology, medical service staff, economic situation in the country, international situation, and a lot of it. Uzagalivshi demographic data, vchenі vived funktsіy, as there is more fallowness of the population per hour: About the model є the process of changing the number of population in fallowness every hour. A lot of factors are added to the whole process: ecology, medical service staff, economic situation in the country, international situation, and a lot of it. Having registered demographic data, given the function, as the number of population density per hour is high: f (t) = deconfiguration a and b for the skin power, f (t) = de facto, for the skin power a і b for its own ... e is the natural logarithm. The qia formula is deprived of the approximation of reality. For knowledge, the value of the performance a and b can be as quickly as possible by a statistical adjuster. Having taken the value of f (t) (the number of the population at the time of hour t) from the presenter, it is possible to approximate a and b, so that the theoretical value of f (t), which is calculated according to the formula, was not very much taken from the actual data. The qia formula is deprived of the approximation of reality. For knowledge, the value of the performance a and b can be as quickly as possible by a statistical adjuster. Having taken the value of f (t) (the number of the population at the time of hour t) from the source, it is possible to approximate a and b, so that the theoretical value of f (t), which is calculated according to the formula, was not very much taken from the actual data.


Vikoristannya of the computer yak to the tool primary activity Yes, you can rethink the traditional approach to the development of nutrition of natural and scientific disciplines, to improve the experimental capacity of scientists, to bring the process up to the real process of knowledge based on the technology of the model. Victory of a computer as a tool for initial efficiency gives the opportunity to rethink the traditional approach to the development of nutrition in natural sciences and sciences, to make it possible to experimentally learn the process, to improve the process of realizing the real The solution of tasks in different areas of human activity on computers is based not only on the knowledge of the technology of modeling, but, naturally, but on the knowledge of this subject area. At the connection with the cym, the lessons from the model are pro-moted to carry out the teaching of material on the subject, the teacher of informatics needs to learn from the teachers of the other educational areas. Informatics lessons are conducted by a teacher of informatics together with a subject teacher. The solution of tasks in different areas of human activity on computers is based not only on the knowledge of the technology of modeling, but, naturally, but on the knowledge of this subject area. At the connection with the cym, the lessons from the model are pro-moted to carry out the teaching of material on the subject, the teacher of informatics needs to learn from the teachers of the other educational areas. Informatics lessons are conducted by a teacher of informatics together with a subject teacher.