Chapter 4: Programming in Matlab - College of the Redwoods

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$Math 50A February 18, 2011 Quiz #10 Name: David Arnold ...$

$College of the Redwoods Math Lab What is the Math Lab course? The$

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282 Chapter 4 Programming in Matlab >> M(~B) ans = 4 10 24 6 12 18 1 25 8 14 20 21 15 16 22 9 Even more succinctly, try the command M(~isprime(M)) to achieve the same result. Let’s look at another example. ◮ Example 4. Sketch the surface z = x 2 + y 2 on the rectangular domain d = {(x, y) : −1 ≤ x, y ≤ 1}, but only for those pairs (x, y) that satisfy y < x and y > −x. Let’s again use an anonymous function, making it “array smart.” >> f=@(x,y) x.^2+y.^2 f = @(x,y) x.^2+y.^2 Test the function. Note that f(3, 4) = 3 2 + 4 2 = 25. >> f(3,4) ans = 25
Section 4.1 Logical Arrays 283 That checks. Next, create the rectangular grid and evaluate z at each point (x, y) in the grid. [x,y]=meshgrid(linspace(-1,1,50)); z=f(x,y); Now, find those values of the grid that satisfy y < x and y > −x. k=(y-x); We want to eliminate from the mesh all points that do not satisfy this requirement. z(~k)=NaN; We can now draw the resulting mesh, label the axes, and provide an orientation. mesh(x,y,z) xlabel(’x-axis’) ylabel(’y-axis’) zlabel(’z-axis’) box on view(145,20) The result is shown in Figure 4.5(a). An interesting view is provided by the following command, the result of which is shown in Figure 4.5(b). In this view, we’ve declined to rotate the xy-axes, but elevated our eye 90 ◦ , so that we are gazing directly down at the xy-plane. This view clearly shows that we have sketched the surface of a region in the rectangular domain restricted to (x, y) pairs satisfying y < x and y > −x. view(0,90)
Page 1 and 2: 4 Programming In Matlab In this cha
Page 3 and 4: Section 4.1 Logical Arrays 261 4.1
Page 5 and 6: Section 4.1 Logical Arrays 263 >> A
Page 7 and 8: Section 4.1 Logical Arrays 265 >> u
Page 9 and 10: Section 4.1 Logical Arrays 267 A nu
Page 11 and 12: Section 4.1 Logical Arrays 269 Seem
Page 13 and 14: Section 4.1 Logical Arrays 271 >> k
Page 15 and 16: Section 4.1 Logical Arrays 273 >> a
Page 17 and 18: Section 4.1 Logical Arrays 275 >> x
Page 19 and 20: Section 4.1 Logical Arrays 277 >> m
Page 21 and 22: Section 4.1 Logical Arrays 279 >> u
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Page 29 and 30: Section 4.1 Logical Arrays 287 prim
Page 33 and 34: Section 4.1 Logical Arrays 291 x=li
Page 35 and 36: Section 4.1 Logical Arrays 293 29.
Page 37 and 38: Section 4.1 Logical Arrays 295 Elim
Page 39 and 40: Section 4.1 Logical Arrays 297 Draw
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Section 4.3 Functions in Matlab 333
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Section 4.4 Variable Scope in Matla
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Section 4.5 Subfunctions in Matlab
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Section 4.6 Nested Functions in Mat
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Chapter 4: Programming in Matlab - College of the Redwoods

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