Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 7 pot

... Press LLC (7. 94) and (7. 95) Adding Eqs. (7. 94) and (7. 95), we obtain the more symmetric formula: (7. 96) Replacing l by l – 1 in Eq. (7. 94) and eliminating from Eq. (7. 95), we find that: (7. 97) Differentiating ... Eq. (7. 97) and using Eq. (7. 95), we obtain: (7. 98a) which can be written in the equivalent form: (7. 98b) which is the ODE for the Legendre polynomial, a...

Ngày tải lên: 13/08/2014, 02:21

... Top panel: b = 1, bottom panel: b = 0.9998. -2 0 -1 5 -1 0 -5 0 5 10 15 -1 5 -1 0 -5 0 5 10 15 a=0 .7 b=1 -2 0 -1 5 -1 0 -5 0 5 10 15 20 -1 5 -1 0 -5 0 5 10 15 a=0 .7 b=0.9998 xk axk byk xk yk bxk ayk xk () ... LLC for n=1:1500 for m=1:40 x(1,m) =-0 .99+2*rx(m); y(1,m) =-0 .99+2*ry(m); x(n+1,m)=a*x(n,m)-b*(y(n,m )-( x(n,m))^2); y(n+1,m)=...

Ngày tải lên: 13/08/2014, 02:21

... that, for arbi- trary a, the product of the roots is and their sum is In-Class Exercises Pb. 3.11 Develop a function M-file that inputs the two real roots of a second- degree equation and returns ... Mouse-controlling command to read off coordinates of a point in a graph. global Allows variables to share their values in multiple programs. zoom Zooms in and out on a 2-D plot. 0-8 49...

Ngày tải lên: 13/08/2014, 02:21

... equations for D(k) and D2(k), as given respec- tively by Eqs. (4.16) and (4.30), and with the initial conditions for the function and its derivative. The first elements for the y, D, and D2 arrays ... (2*a(k)*y(k-1)/dt+a(k)D(k-1)+u(k)); D(k)=(2/dt)*(y(k)-y(k-1))-D(k-1); end plot(t,y,t,u,' ') In-Class Exercise Pb. 4. 37 Plot the amplitude of y, and its dephasing fr...

Ngày tải lên: 13/08/2014, 02:21

... creating a file for the negative of this function (call it n-funname) and entering the following commands in the command window: xmax=fmin('n-funname',xi,xf) fmax =-1 *feval('n-funname',xmax) Homework ... discuss the use of the MATLAB command roots for finding all roots of a polynomial. Following this, we consider the Golden Section method and the fmin and fmin...

Ngày tải lên: 13/08/2014, 02:21

... following script M-file. N =72 0; z=exp(j*2*pi*[1:N]./N); plot(z) axis square In-Class Exercises Pb. 6.20 Using the exponential form of the n-roots of unity, and the expres- sion for the sum of a ... equation, and the solution of this algebraic equation then reduces to finding the roots of the polynomial: (6. 47) We learned in Chapter 5 the MATLAB command for finding these roots,...

Ngày tải lên: 13/08/2014, 02:21

... are the eigen- vectors and D is a diagonal matrix whose elements are the eigenvalues. Enter- ing the matrix M and the eigensystem commands gives: V = -0 . 970 1 -0 .8944 -0 .2425 -0 .4 472 D = 1 0 0 ... LLC function ilamp=circuit 872 (RL) M=[1 0 0 0 0 0;1 -1 0 -5 0 0 0;0 1 -1 0 -1 00 0; 0 1 0 0 0 -3 00;0 0 1 0 -RL 0;0 0 0 1 -1 -1 ]; Vs=[5;0;0;0;0;0]; VI=...

Ngày tải lên: 13/08/2014, 02:21

... direc- tion as the positive x-axis and where the x-axis direction continuously coin- FIGURE 9.2 Scrambled image of Pb. 9.16. © 2001 by CRC Press LLC techniques commonly employed in the handling and ... manipulation of digi- tal images. Let us explore and observe the structure of a matrix subjected to the above elementary trasformations. For this purpose, execute and observe the ou...

Ngày tải lên: 13/08/2014, 02:21

... that: (S.16) Using the above definitions for the sine and cosine functions and elementary geometry, it is easy to note the following properties for the trigonometric functions: (S. 17) (S.18) px ... systems. The random arrival time of certain inputs to a system cannot be predetermined; for example, the log-on and the log-off times of terminals and workstations connected to a...

Ngày tải lên: 13/08/2014, 02:21

... 29, 1999.) 272 2_C0 07_ r02.indd 177 272 2_C0 07_ r02.indd 177 11/30/2005 1:46:31 PM11/30/2005 1:46:31 PM © 2006 by Taylor & Francis Group, LLC 178 Product Design for the Environment 7. 3.2.2 Objective ... simultaneity of analysis and synthesis of design features, and the multidisciplinary nature of the design and development team. 272 2_C0 07_ r02.indd 175 272 2_C0 07_ r0...

Ngày tải lên: 11/08/2014, 21:21