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4. Mazepina O.Y. The problem of determining and measuring the quality of life of the population // «Problems of territory development» - 2014. - No. 6 (84). - p. 8390.
UDC 055
Sharibayev N. Y.
Djurayev Sh.S.
Jabborov A.M.
Namangan engineering-technological institute
Uzbekistan, Namangan THE CREATION OF ANIMATED ACTIONS BY MEANS OF MATHEMATICAL MODEL FOR THE TECHNOLOGICAL PROCESS
Abstract: With the aid 3d Max software and Max Script language created animation for linear, trigonometric, integral, differential equations and for their systems. Thus the set of 3d Max, Max Script with mathematical equations will facilitate the creation of animated action applied mechanics, equipment and processes using mathematical models.
Keywords: Animated model; graph algorithm; Max Script software; the object motion; the description of the technological process; integral- differential mathematical model; Max Script; 3ds Max.
Any animated motion can be described by the mathematical formula. Animated action is given in the form of an equation Y = F (X), where the function F (X) may be linear, not linear, e.g.... trigonometric, and more can be defined integral-differential equations. [1].
Using Max Script program allows to portray motion of a point on the given coordinates. This limits the ability to create a visual model of the object as the coordinates of the movement is changing by every change parameter of the mathematical model. To solve this problem will require the creation of special programs in Max Script. [1],[2],[3],[4].
The aim of the process is to show the possibilities about Max Script to create animated motion by the construction of an appropriate program, which allows to calculate the coordinates of the object.
1. The creation of a linear movement using Max Script. The code is written in Max Script: a=sphere radius:3 for i=1 to 100 do( y=3*sqrt(i);
sphere radius:1 pos:[i,y,0] at time i animate on(a.pos=[i,y,0] a.rotation.z_rotation=random 0.0 120.0 a.rotation.x_rotation=random 0.0 120.0 a.rotation.y_rotation=random 0.0 120.0))
case i = 1 case i = 10
case i = 20 case i = 40
Fig. 1. Presents a set of 3d Max, Max Scrip with the linear equation The objects moving at i = 1-40 according to the schedule defined parabolic function y = 3 * i A 1/2 .
2. The creation of animated actions on the basis of trigonometric equations. The movement of the object along the line based on the graph of the function Sin
c d
Fig. 2. Presents a set of 3d Max, Max Script with trigonometric equation. The code is written in Max Script:
1. s=sphere radius:10 segments:32
2. for i=1 to 360 do
3. (sphere radius:1 pos:[i,sin(i)*100,0]
4. at time i animate on
5. (s.pos=[i,sin(i)*100,0]))
The first line of the function sphere. 3 DS Max software component may be a function name. For example, box (), cone (), teapot (), torus (), cylinder and others. The radius of the spherical object, and segment size. The second line is the parameters used in the reproduction of the statement. Repeated operator can be used even without the variable type. The third line is the radius of the sphere, which is 1. The value of each object, variable on the axis function in the current variable i axis sin (i) and the value of Z 0 objects created in possession of the facts. The fourth line function is used "at time i animate on".
This Max Script function is one of the main methods of creating animated movements. Time must be a part of slider 360. Since each time i corresponds to each variable value portion slider sin (i), depending on the graphics allow the moving object on the basis of the full-period. [5],[6].
Coordinate Z- axis of the three-dimensional nature of the conditions. We will consider as an example Figure 3.
c d
Fig. 3. Presents a set of 3d Max, Max Script with trigonometric equation. The code is written in Max Script: a=sphere radius :2 for i=0 to 360 do( at time i animate on (a.pos=[sin(i)*sin(i)*50,cos(i)*50,cos(i)*sin(i)*50])) for i=0 to 360 do
(sphere radius:0.5 pos: [sin(i)*sin(i)*50,cos(i)*50,cos(i)*sin(i)*50]))
3. The creation of animated actions by means of integral equations of moving object on the basis of the integrated graphics of the equation.
Integrated rectangular method for this value will be charged. The initial conditions are a = 1 , b = 10 , n = 10 . Figure 4
The code is written in Max Script: f=sphere radius:3 a=1; b=10; n=10;
s=1;
for i=1 to 200 do(
h=(b-a)/n as float; x=h*i as float;
y=(2*x+6)*cos(x/2)*sin(x/2) as float; s=y*h as float; sphere radius:1 pos:[i,s,0] at time i animate on(
f.pos=[i,s,0]))
c d
Fig. 4. Presents a set of 3d Max, Max Script with integral equation 1. 4. The creation of animated action by means of differential equations. Many of the events and processes are expressed by differential equations [3]. Further, we proposed the creation of animated actions on the basis of the first order of differential equations. For this purpose, in accordance with the principle of solving Rung-Kutta's differential equations methods. The initial conditions are x = 0, y = 1, h = 0,1. Figure 5.
the code is written in Max Script: a=sphere radius:3
x=0;
y=i;
h=0.1 as float; for i=1 to 40 do( k1=h*(x+y) as float; k2=h*(x+y+0.5*h+0.5*k1) as float; k3=h*(x+y+0.5*h+0.5*k2) as float; k4=h*(x+y+h+k3) as float; dy=(k 1+2*k2+2*k3+k4)/6 as float; x=x+h as float; y=y+dy as float; sphere radius:1 pos:[i,y,0] at time i animate on( a.pos=[i,y,0]))
c d
Fig. 5. Presents a set of 3d Max, MaxScript with differential equation.
We will consider the motion of the object based on the solution of the differential equation system (5). We find a number of solutions of differential equations of the second order by the Rung-Kutta method. Created graph based on the obtained results will provide the basis of the animated motion (Figure 6).
The initial conditions are x = 0, y = 1, z = 0, h = 0,2. The code is written in Max Script: a=sphere radius:3
x=0;
y=1;
z=0;
h=0.2 as float;
for i=1 to 200 do( k1=z as float; p1=-2*z-y+x as float; k2=z+p1*h/2 as float;
p2=(-2* (z+p 1 *h/2)-(y+h* k 1 /2)+x+h/2) as float; k3=z+p2*h/2 as float;
p3=(-2*(z+p2*h/2)-(y+h*k2/2)+x+h/2) as float; k4=z+p3*h as float;
p4=(-2*(z+p3*h)-(y+h*k3)+x+h) as float; dy=h*(k1+2*k2+2*k3+k4)/6 as float; dz=h*(p1+2*p2+2*p3+p4)/6 as float; x=x+h as float; y=y+dy as float; z=z+dz as float; sphere radius:1 pos:[i,y,0]
c d
Fig. 6. Presents a set of 3d Max, Max Script with a system of differential equations.
Conclusion:
In a conclusion, it should be noted that the use of mathematical formulas that describe the mathematical model to create an animated motion in 3ds Max software environment Max Script opens up new possibilities of fundamental research activities and process equipment. The ability to create a visual motion of graphic object on complex mathematical calculations, which are calculated integraldifferential equations, shown in this paper allows a deep study of the researching object being studied by more sophisticated mathematical model.
References:
1. Kelly L. Murdock. Autodesk 3ds Max 2013 monograph user. 3D Studio Max 6. M: 2013.
2. Autodesk Inc. Language 3ds Max 8 Max Script: official curriculum from Autodesk. 3D Studio Max 8. England.2006.
3. Mikhail Marov. 3ds Max. The real animation and virtual reality . M: 2008.
4. Mamatovich, A.Sh. and Abdusamat, K. (2011) Definition of Increasing the Fiber Capturing Surface of Saw Teeth of Cotton Ginning Machine through Mathematic Modelling. World Journal of Mechanics, 1, 122-126. http://dx.doi.org/10.4236/wjm.2011.13017
5. Mamatovich A.Sh; Abdusamat, K. and Arras, P. (2013) The Mathematical Simulation of Brush Drums in a Dual Saw Cylinder Chamber Gin for the Purpose of Increasing the Quantity of Captured Cotton Fiber from Saw. World Journal of Mechanics, 3, 58-61. http://dx.doi.org/10.4236/wim.2013.31004
6. Mamatovich A.Sh and Axmedhodjaev X.T 2015Theoretical Analysis of Gin Cylinder for Simulating Dual Saw Cylinder Chamber Gin for Increasing Wear proof, Energy Efficient, Saving Resources. http://dx.doi.org/10.4236/wjet.2015.
UDC 330
Yusupova A. M. 1st year postgraduate student of DSU, economic faculty, DSU Rizakhanova Z.Z., PhD of Philology associate professor of foreign languages department, DSU
Russia, Makhachkala 10 CHANGES IN TAXES. EXPRESS REVIEW Abstract: The changes made in the tax sphere, ten specific amendments, particularly the ways to adapt them in real life, without special losses for the enterprises or legal entities are presented in the article.
Keywords: tax, declaration, state property, cameral check, cadastral value, property, costs.
This article presents a selection of ten important changes in your work. Some of the amendments have already entered into force, the rest will work since the new year. For example, the VAT rate will rise to 20% only from 1 January 2019. However, it is safer to analyze in advance all the contracts your company concluding now and prolonging for the next year.
1.The tax will be able to block accounts for being late with ERSV Source: Federal law No. 232-FZ of 29.07.2018.
Entered into force: 30 August 2018.
The inspectors will suspend operations on the account if the company is late with the calculation of contributions for more than 10 working days (clause 3.2 of article 76 of the tax code). The new rules will be effective with reporting for 9 months. Previously, the company was threatened only by a fine, to suspend operations on the account of the tax authorities had no right.
2. The inspectors will check the VAT return faster
