Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 4 docx

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 4 docx

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 4 docx

... (4. 42), (4. 44) , and (4. 49), we get the other expression for y(t(n + 1)), correct to second order in (∆t): (4. 50) Now, comparing Eqs. (4. 48) and (4. 50), we obtain the following equalities: (4. 51) ytn ... we have: (4. 46) (4. 47) Combining Eqs. (4. 45) to (4. 47), it follows that to second order in (∆t): (4. 48) Next, let us Taylor expand k 2 to second order in (∆t). This re...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 2 pot

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 2 pot

... 2 .4. a=0. 24; b=0.9708; FIGURE 2.3 Plot of the Mira curve for a = 0.7. The starting point coordinates are (0, 12.1). 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 ... 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)=b*x(n,...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 3 docx

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 3 docx

... entropy: a. N = 32 and for all i b. N = 8 and c. N = 4 and d. N = 4 and HX px px ii i N ( ) ( )log ( ( ))=− = ∑ 2 1 px i ()= 1 32 p =       1 2 1 4 1 8 1 16 1 64 1 64 1 64 1 64 ,,,,,,, p =       1 2 1 4 1 8 1 8 ,,, p ... Mouse-controlling command to read off coordinates of a point in a graph. global Allows variables to share their values in multiple pr...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 5 potx

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 5 potx

... farray=funname(array) x=array(1); y=array(2); farray(1)=7-sqrt(25+x.^2+y.^2); farray(2)= 4- 2 *x -4 * y; 3. Use the approximate value found in step 1 as the value for the guess array; for example: xyguess= [4 -1 ]; 4. Finally, use the fsolve command to ... creating a file for the negative of this function (call it n-funname) and entering the following commands in the command wind...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 6 pdf

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 6 pdf

... following script M-file. N=720; 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 ... m=1 :41 ; z1=cos(k*x-w*t(m)); z2=cos(k*x+w*t(m)); z=z1+z2; plot(x,z,'r'); axis([0 5 -3 3]); T = 2π ω , © 2001 by CRC Press LLC and (6 .41 ) from which we can deduce Euler’s equa...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 7 pot

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

... that is non-zero and such that the location of this non-zero element is different for each of these basis vectors. This basis is not unique. For example, in 4- D space, the canonical four-unit orthonormal ... respec- tively by: (7 .44 ) and (7 .45 ) Question: Can you derive a similar theorem for capacitors all in series and all in parallel? (Remember that the equivalent capacitan...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 8 pdf

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 8 pdf

... 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 .9701 -0 .8 944 -0 . 242 5 -0 .44 72 D = 1 0 0 4 Finding ... = 0.9708 0 .49 83 0.9601 0.2679 0.9901 0.2 140 0.7266 0 .43 99 0.7889 0. 643 5 0 .41 20 0.93 34 0 .43 87 0.3200 0. 744 6 0.6833 0.9708 0 .49 83 0.9601 0.2679 0 0.2 14...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 9 ppt

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 9 ppt

... 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...
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Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 10 docx

Elementary mathematical and computational tools for electrical and computer engineers using Matlab - Chapter 10 docx

... (10.37)], we can write: (10 .43 ) Again, using Eqs. (10.37) and (10 .43 ), we have: (10 .44 ) Now, substituting Eq. (10 .41 ) in the denominator of Eq. (10 .44 ), we obtain Eq. (10 .42 ). Example 10.10 A digital ... 2001 by CRC Press LLC and the hyperbolic sine function is defined by: (S .42 ) Using the above definitions, it is straightforward to derive the following relations: (S .43 )...
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