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| author | RossTheRoss <mstrapp@protonmail.com> | 2020-01-30 16:55:04 -0600 |
|---|---|---|
| committer | RossTheRoss <mstrapp@protonmail.com> | 2020-01-30 16:55:04 -0600 |
| commit | 175721a63b426355274fa9e8063f762020ab8362 (patch) | |
| tree | cf2c1b33233d660c9f50de5e659b9343bb264984 /OLD/math2373 | |
| parent | Make Python thing in Python (diff) | |
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R E A R R A N G E
Diffstat (limited to 'OLD/math2373')
30 files changed, 5745 insertions, 0 deletions
diff --git a/OLD/math2373/FinalGraph.png b/OLD/math2373/FinalGraph.png Binary files differnew file mode 100644 index 0000000..5303c6b --- /dev/null +++ b/OLD/math2373/FinalGraph.png diff --git a/OLD/math2373/lab1.txt b/OLD/math2373/lab1.txt new file mode 100644 index 0000000..75b2264 --- /dev/null +++ b/OLD/math2373/lab1.txt @@ -0,0 +1,466 @@ +27+48 + + + 75 + +27-48 + + + -21 + +27*48 + + + 1296 + +sqrt(16) + + + 4 + +27/48 + + + 0.5625 + +16.5*(38.5+71/40) + + + 664.5375 + +2^5 + + + 32 + +5*3^2 + + + 45 + +(5*3)^2 + + + 225 + +5*(3^2) + + + 45 + +x=7 + + + 7 + +y=9 + + + 9 + +x+y + + + + 16 + +x*y + + + + 63 + +x/y + + + + 0.7778 + +x^2 + + + + 49 + +x=25 + + + 25 + +y=40 + + + 40 + +x+y + + + + 65 + +x*y + + + + 1000 + +x/y + + + + 0.6250 + +(8*x)/5 + + + 40 + +6*x+9*y + + + 510 + +4+5 + + 9 + +ans+10 + + + 19 + +ans+100 + + + 119 + +x=1, y=3, 3*x+7*y, 9*y, (5*y)/(2*x+y) + + 1 + + + 3 + + + 24 + + + 27 + + + 3 + +who + +ans x y + +dog=3 + +DOG=7 + + +who + +DOG ans dog x y + +clear dog + +who + +Your variables are: + +DOG ans x y + +clear + +who + +pi + + + + 3.1416 + +5+pi + + + + 8.1416 + +5*pi + + + + 15.7080 + +sqrt(25) + + + + 5 + +sqrt(24) + + + + 4.8990 + +sqrt(-9) + + + + 0.0000 + 3.0000i + +exp(1) + + + + 2.7183 + +exp(5) + + + + 148.4132 + +sinh(3) + + + + 10.0179 + +cosh(5) + + + + 74.2099 + +sinh(sqrt(5)) + + + + 4.6248 + +tan(sqrt(5)) + + + + -1.2746 + +cos(pi) + + + + -1 + +sin(pi/3) + + + + 0.8660 + +x=sin(1), y=cos(2) + +x = + + 0.8415 + + +y = + + -0.4161 + +x+y, x*y + + + + 0.4253 + + + + + -0.3502 + +log(8),log(100),asin(.5)+log(5) + + + + 2.0794 + + + + + 4.6052 + + + + + 2.1330 + +w=5-8i, z=3+4i + +w = + + 5.0000 - 8.0000i + + +z = + + 3.0000 + 4.0000i + +4*z+w,z/w + + + + 17.0000 + 8.0000i + + + + + -0.1910 + 0.4944i + +pi + + + + 3.1416 + +format long +pi + + + + 3.141592653589793 + +format short +pi + + + + 3.1416 + +6/14 + + + + 0.4286 + +format rational +6/14 + + + + 3/7 + +format short +2^20 + + + + 1048576 + +2^20; +[4 3 7 8 10 13] + + + + 4 3 7 8 10 13 + +[4; 3; 7; 8; 10; 13] + + + + 4 + 3 + 7 + 8 + 10 + 13 + +[4 3 7; 8 10 13] + + + + 4 3 7 + 8 10 13 + +[4 3; 7 8; 10 13] + + + + 4 3 + 7 8 + 10 13 + +x=[3 12 7], y=[-2 4 9] + +x = + + 3 12 7 + + +y = + + -2 4 9 + +x+y,3*x + + + + 1 16 16 + + + + + 9 36 21 + +clear + +a=[3 5 7 9] + +a = + + 3 5 7 9 + +b=[8,-2,4,11] + +b = + + 8 -2 4 11 + +a-5*b + + + + -37 15 -13 -46 + +dot(a,b) + + + + 141 + +x=[4 3 2 9], y=[7 5 11 6] + +x = + + 4 3 2 9 + + +y = + + 7 5 11 6 + +x.*y + + + + 28 15 22 54 + +x.^2 + + + + 16 9 4 81 + +diary off diff --git a/OLD/math2373/lab2.txt b/OLD/math2373/lab2.txt new file mode 100644 index 0000000..689a36b --- /dev/null +++ b/OLD/math2373/lab2.txt @@ -0,0 +1,1024 @@ +format rational +A=[2 -1 4 -5 19; -1 3 -2 -1 -18; 0 1 5 -6 12; 3 -8 1 0 29] + +A = + + 2 -1 4 -5 19 + -1 3 -2 -1 -18 + 0 1 5 -6 12 + 3 -8 1 0 29 + + + +A(1,:)=A(1,:)+A(2,:) + +A = + + 1 2 2 -6 1 + -1 3 -2 -1 -18 + 0 1 5 -6 12 + 3 -8 1 0 29 + + +A(2,:)=A(2,:)+A(1,:) + +A = + + 1 2 2 -6 1 + 0 5 0 -7 -17 + 0 1 5 -6 12 + 3 -8 1 0 29 + +A(4,:)=A(4,:)-3*A(1,:) + +A = + + 1 2 2 -6 1 + 0 5 0 -7 -17 + 0 1 5 -6 12 + 0 -14 -5 18 26 + +A(2,:)=A(2,:)-4*A(3,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 1 5 -6 12 + 0 -14 -5 18 26 + +A(3,:)=A(2,:)-A(3,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 -25 23 -77 + 0 -14 -5 18 26 + + +A(4,:)=A(2,:)+14*A(2,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 -25 23 -77 + 0 15 -300 255 -975 + +A(4,:)=A(2,:)-14*A(2,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 -25 23 -77 + 0 -13 260 -221 845 + +A = + A = + ↑ +{Error: Invalid expression. Check for missing or extra characters. +} +A = Aog + +A = + + 2 -1 4 -5 19 + -1 3 -2 -1 -18 + 0 1 5 -6 12 + 3 -8 1 0 29 + +A(1,:)=A(1,:)+A(2,:) + +A = + + 1 2 2 -6 1 + -1 3 -2 -1 -18 + 0 1 5 -6 12 + 3 -8 1 0 29 + +A(2,:)=A(2,:)+A(1,:) + +A = + + 1 2 2 -6 1 + 0 5 0 -7 -17 + 0 1 5 -6 12 + 3 -8 1 0 29 + +A(4,:)=A(4,:)-3*A(1,:) + +A = + + 1 2 2 -6 1 + 0 5 0 -7 -17 + 0 1 5 -6 12 + 0 -14 -5 18 26 + +Aog2=a +{Undefined function or variable 'a'. +} +Aog2=A + +Aog2 = + + 1 2 2 -6 1 + 0 5 0 -7 -17 + 0 1 5 -6 12 + 0 -14 -5 18 26 + +A(2,:)=A(2,:)-4*A(3,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 1 5 -6 12 + 0 -14 -5 18 26 + +A(3,:)=A(2,:)-A(3,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 -25 23 -77 + 0 -14 -5 18 26 + +A(4,:)=A(4,:)+14*A(2,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 -25 23 -77 + 0 0 -285 256 -884 + +Aog3=A + +Aog3 = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 -25 23 -77 + 0 0 -285 256 -884 + +A(3,:)=A(3,:)/-25 + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 -285 256 -884 + +A(4,:)=A(4,:)+285*A(3,:) + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 -31/5 -31/5 + +A(4,:)=A(4,:)*5 + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 -31 -31 + +A(4,:)=A(4,:)/-31 + +A = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +Aref=A + +Aref = + + 1 2 2 -6 1 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(1,:)=A(1,:)-2*A(2,:) + +A = + + 1 0 42 -40 131 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(1,:)=A(1,:)-42*A(3,:) + +A = + + 1 0 0 -34/25 41/25 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(2,:)=A(2,:)-20*A(3,:) + +A = + + 1 0 0 -34/25 41/25 + 0 1 -40 177/5 -633/5 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(2,:)=A(2,:)+20*A(3,:) + +A = + + 1 0 0 -34/25 41/25 + 0 1 -20 17 -65 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(2,:)=A(2,:)+20*A(3,:) + +A = + + 1 0 0 -34/25 41/25 + 0 1 0 -7/5 -17/5 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(1,:)=A(1,:)+(34/25)*A(5,:) +{Index in position 1 exceeds array bounds (must not exceed 4). +} +A(1,:)=A(1,:)+(34/25)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 -7/5 -17/5 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(2,:)=A(2,:)+(7/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)+(23/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 92/25 192/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)-(23/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)-(23/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 -138/25 -38/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)+(23/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)-(23/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 -138/25 -38/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)+(23/5)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 -23/25 77/25 + 0 0 0 1 1 + +A(3,:)=A(3,:)+(23/25)*A(4,:) + +A = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 * 4 + 0 0 0 1 1 + +Aans=A + +Aans = + + 1 0 0 * 3 + 0 1 0 * -2 + 0 0 1 * 4 + 0 0 0 1 1 + +diary off +rref(Aog) + +ans = + + 1 0 0 0 3 + 0 1 0 0 -2 + 0 0 1 0 4 + 0 0 0 1 1 + +diary off +format rational +A=[-2 1 9 1; 3 3 -4 2; 1 4 5 5] + +A = + + Columns 1 through 3 + + -2 1 9 + 3 3 -4 + 1 4 5 + + Column 4 + + 1 + 2 + 5 + +Asave=A + +Asave = + + Columns 1 through 3 + + -2 1 9 + 3 3 -4 + 1 4 5 + + Column 4 + + 1 + 2 + 5 + +a=A + +a = + + Columns 1 through 3 + + -2 1 9 + 3 3 -4 + 1 4 5 + + Column 4 + + 1 + 2 + 5 + +a([1 3],:)=a([3 1],:) + +a = + + Columns 1 through 3 + + 1 4 5 + 3 3 -4 + -2 1 9 + + Column 4 + + 5 + 2 + 1 + +a(2,:)=a(2,:)-3+a(1,:) + +a = + + Columns 1 through 3 + + 1 4 5 + 1 4 -2 + -2 1 9 + + Column 4 + + 5 + 4 + 1 + +a(2,:)=a(2,:)+3-a(1,:) + +a = + + Columns 1 through 3 + + 1 4 5 + 3 3 -4 + -2 1 9 + + Column 4 + + 5 + 2 + 1 + +a(2,:)=a(2,:)-3*a(1,:) + +a = + + Columns 1 through 3 + + 1 4 5 + 0 -9 -19 + -2 1 9 + + Column 4 + + 5 + -13 + 1 + +a(3,:)=a(3,:)+2*a(1,:) + +a = + + Columns 1 through 3 + + 1 4 5 + 0 -9 -19 + 0 9 19 + + Column 4 + + 5 + -13 + 11 + +a(2,:)=a(2,:)/-9 + +a = + + Columns 1 through 3 + + 1 4 5 + 0 1 19/9 + 0 9 19 + + Column 4 + + 5 + 13/9 + 11 + +a(3,:)=a(3,:)-9*a(2,:) + +a = + + Columns 1 through 3 + + 1 4 5 + 0 1 19/9 + 0 0 0 + + Column 4 + + 5 + 13/9 + -2 + +ref2=a + +ref2 = + + Columns 1 through 3 + + 1 4 5 + 0 1 19/9 + 0 0 0 + + Column 4 + + 5 + 13/9 + -2 + +a=[2 3 -4 1 2; 3 -1 -1 2 4; 1 -7 5 -1 6] + +a = + + Columns 1 through 3 + + 2 3 -4 + 3 -1 -1 + 1 -7 5 + + Columns 4 through 5 + + 1 2 + 2 4 + -1 6 + +a([1 3],:)=a([3 1],:) + +a = + + Columns 1 through 3 + + 1 -7 5 + 3 -1 -1 + 2 3 -4 + + Columns 4 through 5 + + -1 6 + 2 4 + 1 2 + +a(2,:)=a(2,:)-3*a(1,:) + +a = + + Columns 1 through 3 + + 1 -7 5 + 0 20 -16 + 2 3 -4 + + Columns 4 through 5 + + -1 6 + 5 -14 + 1 2 + +a(3,:)=a(3,:)-2*a(1,:) + +a = + + Columns 1 through 3 + + 1 -7 5 + 0 20 -16 + 0 17 -14 + + Columns 4 through 5 + + -1 6 + 5 -14 + 3 -10 + +a(2,:)=a(2,:)/20 + +a = + + Columns 1 through 3 + + 1 -7 5 + 0 1 -4/5 + 0 17 -14 + + Columns 4 through 5 + + -1 6 + 1/4 -7/10 + 3 -10 + +a(3,:)=a(3,:)-17*a(2,:) + +a = + + Columns 1 through 3 + + 1 -7 5 + 0 1 -4/5 + 0 0 -2/5 + + Columns 4 through 5 + + -1 6 + 1/4 -7/10 + -5/4 19/10 + +a(3,:)=a(3,:)*(-5/2) + +a = + + Columns 1 through 3 + + 1 -7 5 + 0 1 -4/5 + 0 0 1 + + Columns 4 through 5 + + -1 6 + 1/4 -7/10 + 25/8 -19/4 + +A=[2 3 -4 1 2; 3 -1 -1 2 4; 1 -7 5 -1 6] + +A = + + Columns 1 through 3 + + 2 3 -4 + 3 -1 -1 + 1 -7 5 + + Columns 4 through 5 + + 1 2 + 2 4 + -1 6 + +rref(A) + +ans = + + Columns 1 through 3 + + 1 0 0 + 0 1 0 + 0 0 1 + + Columns 4 through 5 + + 21/8 -7/4 + 11/4 -9/2 + 25/8 -19/4 + +a + +a = + + Columns 1 through 3 + + 1 -7 5 + 0 1 -4/5 + 0 0 1 + + Columns 4 through 5 + + -1 6 + 1/4 -7/10 + 25/8 -19/4 + +a(1,:)=a(1,:)+7*a(2,:) + +a = + + Columns 1 through 3 + + 1 0 -3/5 + 0 1 -4/5 + 0 0 1 + + Columns 4 through 5 + + 3/4 11/10 + 1/4 -7/10 + 25/8 -19/4 + +a(1,:)=a(1,:)+(3/5)*a(3,:) + +a = + + Columns 1 through 3 + + 1 0 * + 0 1 -4/5 + 0 0 1 + + Columns 4 through 5 + + 21/8 -7/4 + 1/4 -7/10 + 25/8 -19/4 + +a(2,:)=a(2,:)+(4/5)*a(3,:) + +a = + + Columns 1 through 3 + + 1 0 * + 0 1 * + 0 0 1 + + Columns 4 through 5 + + 21/8 -7/4 + 11/4 -9/2 + 25/8 -19/4 + +rref(A) + +ans = + + Columns 1 through 3 + + 1 0 0 + 0 1 0 + 0 0 1 + + Columns 4 through 5 + + 21/8 -7/4 + 11/4 -9/2 + 25/8 -19/4 + +rref3=a + +rref3 = + + Columns 1 through 3 + + 1 0 * + 0 1 * + 0 0 1 + + Columns 4 through 5 + + 21/8 -7/4 + 11/4 -9/2 + 25/8 -19/4 + +rref3a=a + +rref3a = + + Columns 1 through 3 + + 1 0 * + 0 1 * + 0 0 1 + + Columns 4 through 5 + + 21/8 -7/4 + 11/4 -9/2 + 25/8 -19/4 + +delete rref3 +[Warning: File 'rref3' not found.] +remove rref3 +{Undefined function 'remove' for input arguments of +type 'char'. +} +a=[2 3 -4 4; 8 11 -7 8; 2 2 -4 -3] + +a = + + Columns 1 through 3 + + 2 3 -4 + 8 11 -7 + 2 2 -4 + + Column 4 + + 4 + 8 + -3 + +A=a + +A = + + Columns 1 through 3 + + 2 3 -4 + 8 11 -7 + 2 2 -4 + + Column 4 + + 4 + 8 + -3 + +rref(A) + +ans = + + Columns 1 through 3 + + 1 0 0 + 0 1 0 + 0 0 1 + + Column 4 + + -157/18 + 7 + -1/9 + +a + +a = + + Columns 1 through 3 + + 2 3 -4 + 8 11 -7 + 2 2 -4 + + Column 4 + + 4 + 8 + -3 + +a(1,:)=a(1,:)/2 + +a = + + Columns 1 through 3 + + 1 3/2 -2 + 8 11 -7 + 2 2 -4 + + Column 4 + + 2 + 8 + -3 + +a(2,:)=a(2,:)-8*a(1,:) + +a = + + Columns 1 through 3 + + 1 3/2 -2 + 0 -1 9 + 2 2 -4 + + Column 4 + + 2 + -8 + -3 + +a(3,:)=a(3,:)-2*a(1,:) + +a = + + Columns 1 through 3 + + 1 3/2 -2 + 0 -1 9 + 0 -1 0 + + Column 4 + + 2 + -8 + -7 + +a(2,:)=a(2,:)/-1 + +a = + + Columns 1 through 3 + + 1 3/2 -2 + 0 1 -9 + 0 -1 0 + + Column 4 + + 2 + 8 + -7 + +a(3,:)=a(3,:)+1*a(2,:) + +a = + + Columns 1 through 3 + + 1 3/2 -2 + 0 1 -9 + 0 0 -9 + + Column 4 + + 2 + 8 + 1 + +a(3,:)=a(3,:)/-9 + +a = + + Columns 1 through 3 + + 1 3/2 -2 + 0 1 -9 + 0 0 1 + + Column 4 + + 2 + 8 + -1/9 + +a(1,:)=a(1,:)-(3/2)*a(2,:) + +a = + + Columns 1 through 3 + + 1 0 23/2 + 0 1 -9 + 0 0 1 + + Column 4 + + -10 + 8 + -1/9 + +a(2,:)=a(2,:)+9*a(3,:) + +a = + + Columns 1 through 3 + + 1 0 23/2 + 0 1 0 + 0 0 1 + + Column 4 + + -10 + 7 + -1/9 + +a(1,:)=a(1,:)-(23/2)*a(3,:) + +a = + + Columns 1 through 3 + + 1 0 0 + 0 1 0 + 0 0 1 + + Column 4 + + -157/18 + 7 + -1/9 + +rref3b=a + +rref3b = + + Columns 1 through 3 + + 1 0 0 + 0 1 0 + 0 0 1 + + Column 4 + + -157/18 + 7 + -1/9 + +diary off diff --git a/OLD/math2373/lab3.txt b/OLD/math2373/lab3.txt new file mode 100644 index 0000000..5ddc15a --- /dev/null +++ b/OLD/math2373/lab3.txt @@ -0,0 +1,12 @@ +ezplot(y=t^3-9*t, [-4,4,-30,30]) + ezplot(y=t^3-9*t, [-4,4,-30,30]) + ↑ +{Error: Incorrect use of '=' operator. To assign a value to a variable, +use '='. To compare values for equality, use '=='. +} +ezplot('y=t^3-9*t', [-4,4,-30,30]) +hold on +ezplot('y=t^3-(49/4)*t', [-4,4,-30,30]) +ezplot('y=t^3-16*t', [-4,4,-30,30]) +hold off +ezplot('y=1+cos(t)', [0,10,-2,4]) diff --git a/OLD/math2373/lab4.txt b/OLD/math2373/lab4.txt new file mode 100644 index 0000000..6360716 --- /dev/null +++ b/OLD/math2373/lab4.txt @@ -0,0 +1,173 @@ +v.*w + +ans = + + 10 36 32 -12 42 + +v*w +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('mtimes')" style="font-weight:bold"> * </a> +Incorrect dimensions for matrix multiplication. Check that the number of columns in the first +matrix matches the number of rows in the second matrix. To perform elementwise +multiplication, use '.*'. +} +v.^3 + +ans = + + 8 27 64 -8 216 + +v./w + +ans = + + 0.4000 0.2500 0.5000 -0.3333 0.8571 + +a = [0,1,2,3,4,5] + +a = + + 0 1 2 3 4 5 + +b=a.^3-9*a.^2+18*a + +b = + + 0 10 8 0 -8 -10 + +plot(a,b) +c=(0:0.1:5); +d=c.^3-9*c.^2+18*c; +plot(c,d); +c,d + +c = + + Columns 1 through 9 + + 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 + + Columns 10 through 18 + + 0.9000 1.0000 1.1000 1.2000 1.3000 1.4000 1.5000 1.6000 1.7000 + + Columns 19 through 27 + + 1.8000 1.9000 2.0000 2.1000 2.2000 2.3000 2.4000 2.5000 2.6000 + + Columns 28 through 36 + + 2.7000 2.8000 2.9000 3.0000 3.1000 3.2000 3.3000 3.4000 3.5000 + + Columns 37 through 45 + + 3.6000 3.7000 3.8000 3.9000 4.0000 4.1000 4.2000 4.3000 4.4000 + + Columns 46 through 51 + + 4.5000 4.6000 4.7000 4.8000 4.9000 5.0000 + + +d = + + Columns 1 through 9 + + 0 1.7110 3.2480 4.6170 5.8240 6.8750 7.7760 8.5330 9.1520 + + Columns 10 through 18 + + 9.6390 10.0000 10.2410 10.3680 10.3870 10.3040 10.1250 9.8560 9.5030 + + Columns 19 through 27 + + 9.0720 8.5690 8.0000 7.3710 6.6880 5.9570 5.1840 4.3750 3.5360 + + Columns 28 through 36 + + 2.6730 1.7920 0.8990 0 -0.8990 -1.7920 -2.6730 -3.5360 -4.3750 + + Columns 37 through 45 + + -5.1840 -5.9570 -6.6880 -7.3710 -8.0000 -8.5690 -9.0720 -9.5030 -9.8560 + + Columns 46 through 51 + + -10.1250 -10.3040 -10.3870 -10.3680 -10.2410 -10.0000 + +e =(-2:0.2:6); +g = e.^3-5*e.^2-4*e+20 + +g = + + Columns 1 through 9 + + 0 5.1680 9.5040 13.0560 15.8720 18.0000 19.4880 20.3840 20.7360 + + Columns 10 through 18 + + 20.5920 20.0000 19.0080 17.6640 16.0160 14.1120 12.0000 9.7280 7.3440 + + Columns 19 through 27 + + 4.8960 2.4320 0 -2.3520 -4.5760 -6.6240 -8.4480 -10.0000 -11.2320 + + Columns 28 through 36 + + -12.0960 -12.5440 -12.5280 -12.0000 -10.9120 -9.2160 -6.8640 -3.8080 0 + + Columns 37 through 41 + + 4.6080 10.0640 16.4160 23.7120 32.0000 + +plot(e,g) +d = (0, 2, 4, 5, 6, 8) + d = (0, 2, 4, 5, 6, 8) + ↑ +{Error: Invalid expression. When calling a function or indexing a variable, use parentheses. +Otherwise, check for mismatched delimiters. +} +d = [0, 2, 4, 5, 6, 8] + +d = + + 0 2 4 5 6 8 + +f = [0, 20, 30, 50, 70, 100]; +plot(d,f,’r:p’); + plot(d,f,’r:p’); + ↑ +{Error: Invalid text character. Check for unsupported symbol, invisible character, or +pasting of non-ASCII characters. +} +plot(d,f,'r:p'); +plot(d,f,'b:s'); +plot(d,f,’b:p’); + plot(d,f,’b:p’); + ↑ +{Error: Invalid text character. Check for unsupported symbol, +invisible character, or pasting of non-ASCII characters. +} +xlabel('Dog years'); +ylabel('Human years'); +title('The passage of time') +plot(d,f,'b:p'); +q = [0,2,4,5,6,8] + +q = + + 0 2 4 5 6 8 + +q = [0,2,4,5,6,8]; +r = [0,20,30,30,50,100]; +plot(d,f,'r:p'); +hold on +lsline +hold off +plot(q,r,'r:p'); +lsline; +man +{Undefined function or variable 'man'. +} +xlabel('Decades of Life') +ylabel('Likliness of Death'); +title('Funny Graph Title'); +diary off diff --git a/OLD/math2373/lab4/graph1lab5.pdf b/OLD/math2373/lab4/graph1lab5.pdf Binary files differnew file mode 100644 index 0000000..adfb584 --- /dev/null +++ b/OLD/math2373/lab4/graph1lab5.pdf diff --git a/OLD/math2373/lab4/graph2lab5.png b/OLD/math2373/lab4/graph2lab5.png Binary files differnew file mode 100644 index 0000000..7900a8a --- /dev/null +++ b/OLD/math2373/lab4/graph2lab5.png diff --git a/OLD/math2373/lab4/graph3lab5.png b/OLD/math2373/lab4/graph3lab5.png Binary files differnew file mode 100644 index 0000000..3d36211 --- /dev/null +++ b/OLD/math2373/lab4/graph3lab5.png diff --git a/OLD/math2373/lab4/graph4lab5.png b/OLD/math2373/lab4/graph4lab5.png Binary files differnew file mode 100644 index 0000000..98ab9d8 --- /dev/null +++ b/OLD/math2373/lab4/graph4lab5.png diff --git a/OLD/math2373/lab4/graph5lab5.png b/OLD/math2373/lab4/graph5lab5.png Binary files differnew file mode 100644 index 0000000..60f8dcc --- /dev/null +++ b/OLD/math2373/lab4/graph5lab5.png diff --git a/OLD/math2373/lab4/graph6lab5.png b/OLD/math2373/lab4/graph6lab5.png Binary files differnew file mode 100644 index 0000000..21b765e --- /dev/null +++ b/OLD/math2373/lab4/graph6lab5.png diff --git a/OLD/math2373/lab4/testt.png b/OLD/math2373/lab4/testt.png Binary files differnew file mode 100644 index 0000000..278d4dc --- /dev/null +++ b/OLD/math2373/lab4/testt.png diff --git a/OLD/math2373/lab5/lab4.txt b/OLD/math2373/lab5/lab4.txt new file mode 100644 index 0000000..b45f0f3 --- /dev/null +++ b/OLD/math2373/lab5/lab4.txt @@ -0,0 +1,59 @@ +N=10; sum_of_fourths; y + +y = + + Columns 1 through 5 + + 0 1 17 98 354 + + Columns 6 through 10 + + 979 2275 4676 8772 15333 + + Column 11 + + 25333 + +N=10; sum_of_nn; y + +y = + + 1.2913 + +N=10; sum_of_nn; y + +y = + + 1.2913 + +N=10; multseries; y + +y = + + 3.0677 + +N=100; multseries; y + +y = + + 3.1338 + +N=1000; multseries; y + +y = + + 3.1408 + +N=10000; multseries; y + +y = + + 3.1415 + +N=100000; multseries; y + +y = + + 3.1416 + +diary off diff --git a/OLD/math2373/lab5/multseries.m b/OLD/math2373/lab5/multseries.m new file mode 100644 index 0000000..d4b06d6 --- /dev/null +++ b/OLD/math2373/lab5/multseries.m @@ -0,0 +1,4 @@ +y=2; +for n=1:N + y=y*((2*n)*(2*n))/((2*n-1)*(2*n+1)); +end
\ No newline at end of file diff --git a/OLD/math2373/lab5/sum_of_fourths.m b/OLD/math2373/lab5/sum_of_fourths.m new file mode 100644 index 0000000..80c535f --- /dev/null +++ b/OLD/math2373/lab5/sum_of_fourths.m @@ -0,0 +1,4 @@ +y(1)=0; +for n=1:N + y(n+1)=y(n)+n^4; +end
\ No newline at end of file diff --git a/OLD/math2373/lab5/sum_of_nn.m b/OLD/math2373/lab5/sum_of_nn.m new file mode 100644 index 0000000..dd191b7 --- /dev/null +++ b/OLD/math2373/lab5/sum_of_nn.m @@ -0,0 +1,4 @@ +y=0; +for n=1:N + y=y+1/(n^n); +end
\ No newline at end of file diff --git a/OLD/math2373/lab6/alltogethernow.png b/OLD/math2373/lab6/alltogethernow.png Binary files differnew file mode 100644 index 0000000..acd239f --- /dev/null +++ b/OLD/math2373/lab6/alltogethernow.png diff --git a/OLD/math2373/lab6/approx.m b/OLD/math2373/lab6/approx.m new file mode 100644 index 0000000..8fb87f2 --- /dev/null +++ b/OLD/math2373/lab6/approx.m @@ -0,0 +1,6 @@ +z=8-2*2-7*exp(-2/2);%exact solution at t=2 +for k=1:5 + N=5*2^(k-1);eulerN; + %difference between Euler approximation and exact solution at t=2. + error(k)=y(N+1)-z; +end
\ No newline at end of file diff --git a/OLD/math2373/lab6/badEstimate.png b/OLD/math2373/lab6/badEstimate.png Binary files differnew file mode 100644 index 0000000..cba0f75 --- /dev/null +++ b/OLD/math2373/lab6/badEstimate.png diff --git a/OLD/math2373/lab6/euler5.m b/OLD/math2373/lab6/euler5.m new file mode 100644 index 0000000..2de61e3 --- /dev/null +++ b/OLD/math2373/lab6/euler5.m @@ -0,0 +1,5 @@ +h=2/5; t(1)=0; y(1)=1; +for n=1:5 + t(n+1)=t(n)+h; + y(n+1)=y(n)+(-y(n)+t(n))*h; +end
\ No newline at end of file diff --git a/OLD/math2373/lab6/eulerN.m b/OLD/math2373/lab6/eulerN.m new file mode 100644 index 0000000..13a7cbc --- /dev/null +++ b/OLD/math2373/lab6/eulerN.m @@ -0,0 +1,5 @@ +h=2/N; t(1)=0; y(1)=1; +for n=1:N + t(n+1)=t(n)+h; + y(n+1)=y(n)+(-0.5*y(n)-t(n)+2)*h; +end
\ No newline at end of file diff --git a/OLD/math2373/lab6/fullEuler.png b/OLD/math2373/lab6/fullEuler.png Binary files differnew file mode 100644 index 0000000..6e70356 --- /dev/null +++ b/OLD/math2373/lab6/fullEuler.png diff --git a/OLD/math2373/lab6/lab6.txt b/OLD/math2373/lab6/lab6.txt new file mode 100644 index 0000000..e11acb6 --- /dev/null +++ b/OLD/math2373/lab6/lab6.txt @@ -0,0 +1,3337 @@ +N=10; eulerN; plot(t,y); +hold on +N=5; eulerN; plot(t,y); +clear +N=5; eulerN; plot(t,y); +hold on +N=10; eulerN; plot(t,y); +N=20; eulerN; plot(t,y); +N=40; eulerN; plot(t,y); +N=80; eulerN; plot(t,y); +x=0:0.001:2 + +x = + + Columns 1 through 6 + + 0 0.0010 0.0020 0.0030 0.0040 0.0050 + + Columns 7 through 12 + + 0.0060 0.0070 0.0080 0.0090 0.0100 0.0110 + + Columns 13 through 18 + + 0.0120 0.0130 0.0140 0.0150 0.0160 0.0170 + + Columns 19 through 24 + + 0.0180 0.0190 0.0200 0.0210 0.0220 0.0230 + + Columns 25 through 30 + + 0.0240 0.0250 0.0260 0.0270 0.0280 0.0290 + + Columns 31 through 36 + + 0.0300 0.0310 0.0320 0.0330 0.0340 0.0350 + + Columns 37 through 42 + + 0.0360 0.0370 0.0380 0.0390 0.0400 0.0410 + + Columns 43 through 48 + + 0.0420 0.0430 0.0440 0.0450 0.0460 0.0470 + + Columns 49 through 54 + + 0.0480 0.0490 0.0500 0.0510 0.0520 0.0530 + + Columns 55 through 60 + + 0.0540 0.0550 0.0560 0.0570 0.0580 0.0590 + + Columns 61 through 66 + + 0.0600 0.0610 0.0620 0.0630 0.0640 0.0650 + + Columns 67 through 72 + + 0.0660 0.0670 0.0680 0.0690 0.0700 0.0710 + + Columns 73 through 78 + + 0.0720 0.0730 0.0740 0.0750 0.0760 0.0770 + + Columns 79 through 84 + + 0.0780 0.0790 0.0800 0.0810 0.0820 0.0830 + + Columns 85 through 90 + + 0.0840 0.0850 0.0860 0.0870 0.0880 0.0890 + + Columns 91 through 96 + + 0.0900 0.0910 0.0920 0.0930 0.0940 0.0950 + + Columns 97 through 102 + + 0.0960 0.0970 0.0980 0.0990 0.1000 0.1010 + + Columns 103 through 108 + + 0.1020 0.1030 0.1040 0.1050 0.1060 0.1070 + + Columns 109 through 114 + + 0.1080 0.1090 0.1100 0.1110 0.1120 0.1130 + + Columns 115 through 120 + + 0.1140 0.1150 0.1160 0.1170 0.1180 0.1190 + + Columns 121 through 126 + + 0.1200 0.1210 0.1220 0.1230 0.1240 0.1250 + + Columns 127 through 132 + + 0.1260 0.1270 0.1280 0.1290 0.1300 0.1310 + + Columns 133 through 138 + + 0.1320 0.1330 0.1340 0.1350 0.1360 0.1370 + + Columns 139 through 144 + + 0.1380 0.1390 0.1400 0.1410 0.1420 0.1430 + + Columns 145 through 150 + + 0.1440 0.1450 0.1460 0.1470 0.1480 0.1490 + + Columns 151 through 156 + + 0.1500 0.1510 0.1520 0.1530 0.1540 0.1550 + + Columns 157 through 162 + + 0.1560 0.1570 0.1580 0.1590 0.1600 0.1610 + + Columns 163 through 168 + + 0.1620 0.1630 0.1640 0.1650 0.1660 0.1670 + + Columns 169 through 174 + + 0.1680 0.1690 0.1700 0.1710 0.1720 0.1730 + + Columns 175 through 180 + + 0.1740 0.1750 0.1760 0.1770 0.1780 0.1790 + + Columns 181 through 186 + + 0.1800 0.1810 0.1820 0.1830 0.1840 0.1850 + + Columns 187 through 192 + + 0.1860 0.1870 0.1880 0.1890 0.1900 0.1910 + + Columns 193 through 198 + + 0.1920 0.1930 0.1940 0.1950 0.1960 0.1970 + + Columns 199 through 204 + + 0.1980 0.1990 0.2000 0.2010 0.2020 0.2030 + + Columns 205 through 210 + + 0.2040 0.2050 0.2060 0.2070 0.2080 0.2090 + + Columns 211 through 216 + + 0.2100 0.2110 0.2120 0.2130 0.2140 0.2150 + + Columns 217 through 222 + + 0.2160 0.2170 0.2180 0.2190 0.2200 0.2210 + + Columns 223 through 228 + + 0.2220 0.2230 0.2240 0.2250 0.2260 0.2270 + + Columns 229 through 234 + + 0.2280 0.2290 0.2300 0.2310 0.2320 0.2330 + + Columns 235 through 240 + + 0.2340 0.2350 0.2360 0.2370 0.2380 0.2390 + + Columns 241 through 246 + + 0.2400 0.2410 0.2420 0.2430 0.2440 0.2450 + + Columns 247 through 252 + + 0.2460 0.2470 0.2480 0.2490 0.2500 0.2510 + + Columns 253 through 258 + + 0.2520 0.2530 0.2540 0.2550 0.2560 0.2570 + + Columns 259 through 264 + + 0.2580 0.2590 0.2600 0.2610 0.2620 0.2630 + + Columns 265 through 270 + + 0.2640 0.2650 0.2660 0.2670 0.2680 0.2690 + + Columns 271 through 276 + + 0.2700 0.2710 0.2720 0.2730 0.2740 0.2750 + + Columns 277 through 282 + + 0.2760 0.2770 0.2780 0.2790 0.2800 0.2810 + + Columns 283 through 288 + + 0.2820 0.2830 0.2840 0.2850 0.2860 0.2870 + + Columns 289 through 294 + + 0.2880 0.2890 0.2900 0.2910 0.2920 0.2930 + + Columns 295 through 300 + + 0.2940 0.2950 0.2960 0.2970 0.2980 0.2990 + + Columns 301 through 306 + + 0.3000 0.3010 0.3020 0.3030 0.3040 0.3050 + + Columns 307 through 312 + + 0.3060 0.3070 0.3080 0.3090 0.3100 0.3110 + + Columns 313 through 318 + + 0.3120 0.3130 0.3140 0.3150 0.3160 0.3170 + + Columns 319 through 324 + + 0.3180 0.3190 0.3200 0.3210 0.3220 0.3230 + + Columns 325 through 330 + + 0.3240 0.3250 0.3260 0.3270 0.3280 0.3290 + + Columns 331 through 336 + + 0.3300 0.3310 0.3320 0.3330 0.3340 0.3350 + + Columns 337 through 342 + + 0.3360 0.3370 0.3380 0.3390 0.3400 0.3410 + + Columns 343 through 348 + + 0.3420 0.3430 0.3440 0.3450 0.3460 0.3470 + + Columns 349 through 354 + + 0.3480 0.3490 0.3500 0.3510 0.3520 0.3530 + + Columns 355 through 360 + + 0.3540 0.3550 0.3560 0.3570 0.3580 0.3590 + + Columns 361 through 366 + + 0.3600 0.3610 0.3620 0.3630 0.3640 0.3650 + + Columns 367 through 372 + + 0.3660 0.3670 0.3680 0.3690 0.3700 0.3710 + + Columns 373 through 378 + + 0.3720 0.3730 0.3740 0.3750 0.3760 0.3770 + + Columns 379 through 384 + + 0.3780 0.3790 0.3800 0.3810 0.3820 0.3830 + + Columns 385 through 390 + + 0.3840 0.3850 0.3860 0.3870 0.3880 0.3890 + + Columns 391 through 396 + + 0.3900 0.3910 0.3920 0.3930 0.3940 0.3950 + + Columns 397 through 402 + + 0.3960 0.3970 0.3980 0.3990 0.4000 0.4010 + + Columns 403 through 408 + + 0.4020 0.4030 0.4040 0.4050 0.4060 0.4070 + + Columns 409 through 414 + + 0.4080 0.4090 0.4100 0.4110 0.4120 0.4130 + + Columns 415 through 420 + + 0.4140 0.4150 0.4160 0.4170 0.4180 0.4190 + + Columns 421 through 426 + + 0.4200 0.4210 0.4220 0.4230 0.4240 0.4250 + + Columns 427 through 432 + + 0.4260 0.4270 0.4280 0.4290 0.4300 0.4310 + + Columns 433 through 438 + + 0.4320 0.4330 0.4340 0.4350 0.4360 0.4370 + + Columns 439 through 444 + + 0.4380 0.4390 0.4400 0.4410 0.4420 0.4430 + + Columns 445 through 450 + + 0.4440 0.4450 0.4460 0.4470 0.4480 0.4490 + + Columns 451 through 456 + + 0.4500 0.4510 0.4520 0.4530 0.4540 0.4550 + + Columns 457 through 462 + + 0.4560 0.4570 0.4580 0.4590 0.4600 0.4610 + + Columns 463 through 468 + + 0.4620 0.4630 0.4640 0.4650 0.4660 0.4670 + + Columns 469 through 474 + + 0.4680 0.4690 0.4700 0.4710 0.4720 0.4730 + + Columns 475 through 480 + + 0.4740 0.4750 0.4760 0.4770 0.4780 0.4790 + + Columns 481 through 486 + + 0.4800 0.4810 0.4820 0.4830 0.4840 0.4850 + + Columns 487 through 492 + + 0.4860 0.4870 0.4880 0.4890 0.4900 0.4910 + + Columns 493 through 498 + + 0.4920 0.4930 0.4940 0.4950 0.4960 0.4970 + + Columns 499 through 504 + + 0.4980 0.4990 0.5000 0.5010 0.5020 0.5030 + + Columns 505 through 510 + + 0.5040 0.5050 0.5060 0.5070 0.5080 0.5090 + + Columns 511 through 516 + + 0.5100 0.5110 0.5120 0.5130 0.5140 0.5150 + + Columns 517 through 522 + + 0.5160 0.5170 0.5180 0.5190 0.5200 0.5210 + + Columns 523 through 528 + + 0.5220 0.5230 0.5240 0.5250 0.5260 0.5270 + + Columns 529 through 534 + + 0.5280 0.5290 0.5300 0.5310 0.5320 0.5330 + + Columns 535 through 540 + + 0.5340 0.5350 0.5360 0.5370 0.5380 0.5390 + + Columns 541 through 546 + + 0.5400 0.5410 0.5420 0.5430 0.5440 0.5450 + + Columns 547 through 552 + + 0.5460 0.5470 0.5480 0.5490 0.5500 0.5510 + + Columns 553 through 558 + + 0.5520 0.5530 0.5540 0.5550 0.5560 0.5570 + + Columns 559 through 564 + + 0.5580 0.5590 0.5600 0.5610 0.5620 0.5630 + + Columns 565 through 570 + + 0.5640 0.5650 0.5660 0.5670 0.5680 0.5690 + + Columns 571 through 576 + + 0.5700 0.5710 0.5720 0.5730 0.5740 0.5750 + + Columns 577 through 582 + + 0.5760 0.5770 0.5780 0.5790 0.5800 0.5810 + + Columns 583 through 588 + + 0.5820 0.5830 0.5840 0.5850 0.5860 0.5870 + + Columns 589 through 594 + + 0.5880 0.5890 0.5900 0.5910 0.5920 0.5930 + + Columns 595 through 600 + + 0.5940 0.5950 0.5960 0.5970 0.5980 0.5990 + + Columns 601 through 606 + + 0.6000 0.6010 0.6020 0.6030 0.6040 0.6050 + + Columns 607 through 612 + + 0.6060 0.6070 0.6080 0.6090 0.6100 0.6110 + + Columns 613 through 618 + + 0.6120 0.6130 0.6140 0.6150 0.6160 0.6170 + + Columns 619 through 624 + + 0.6180 0.6190 0.6200 0.6210 0.6220 0.6230 + + Columns 625 through 630 + + 0.6240 0.6250 0.6260 0.6270 0.6280 0.6290 + + Columns 631 through 636 + + 0.6300 0.6310 0.6320 0.6330 0.6340 0.6350 + + Columns 637 through 642 + + 0.6360 0.6370 0.6380 0.6390 0.6400 0.6410 + + Columns 643 through 648 + + 0.6420 0.6430 0.6440 0.6450 0.6460 0.6470 + + Columns 649 through 654 + + 0.6480 0.6490 0.6500 0.6510 0.6520 0.6530 + + Columns 655 through 660 + + 0.6540 0.6550 0.6560 0.6570 0.6580 0.6590 + + Columns 661 through 666 + + 0.6600 0.6610 0.6620 0.6630 0.6640 0.6650 + + Columns 667 through 672 + + 0.6660 0.6670 0.6680 0.6690 0.6700 0.6710 + + Columns 673 through 678 + + 0.6720 0.6730 0.6740 0.6750 0.6760 0.6770 + + Columns 679 through 684 + + 0.6780 0.6790 0.6800 0.6810 0.6820 0.6830 + + Columns 685 through 690 + + 0.6840 0.6850 0.6860 0.6870 0.6880 0.6890 + + Columns 691 through 696 + + 0.6900 0.6910 0.6920 0.6930 0.6940 0.6950 + + Columns 697 through 702 + + 0.6960 0.6970 0.6980 0.6990 0.7000 0.7010 + + Columns 703 through 708 + + 0.7020 0.7030 0.7040 0.7050 0.7060 0.7070 + + Columns 709 through 714 + + 0.7080 0.7090 0.7100 0.7110 0.7120 0.7130 + + Columns 715 through 720 + + 0.7140 0.7150 0.7160 0.7170 0.7180 0.7190 + + Columns 721 through 726 + + 0.7200 0.7210 0.7220 0.7230 0.7240 0.7250 + + Columns 727 through 732 + + 0.7260 0.7270 0.7280 0.7290 0.7300 0.7310 + + Columns 733 through 738 + + 0.7320 0.7330 0.7340 0.7350 0.7360 0.7370 + + Columns 739 through 744 + + 0.7380 0.7390 0.7400 0.7410 0.7420 0.7430 + + Columns 745 through 750 + + 0.7440 0.7450 0.7460 0.7470 0.7480 0.7490 + + Columns 751 through 756 + + 0.7500 0.7510 0.7520 0.7530 0.7540 0.7550 + + Columns 757 through 762 + + 0.7560 0.7570 0.7580 0.7590 0.7600 0.7610 + + Columns 763 through 768 + + 0.7620 0.7630 0.7640 0.7650 0.7660 0.7670 + + Columns 769 through 774 + + 0.7680 0.7690 0.7700 0.7710 0.7720 0.7730 + + Columns 775 through 780 + + 0.7740 0.7750 0.7760 0.7770 0.7780 0.7790 + + Columns 781 through 786 + + 0.7800 0.7810 0.7820 0.7830 0.7840 0.7850 + + Columns 787 through 792 + + 0.7860 0.7870 0.7880 0.7890 0.7900 0.7910 + + Columns 793 through 798 + + 0.7920 0.7930 0.7940 0.7950 0.7960 0.7970 + + Columns 799 through 804 + + 0.7980 0.7990 0.8000 0.8010 0.8020 0.8030 + + Columns 805 through 810 + + 0.8040 0.8050 0.8060 0.8070 0.8080 0.8090 + + Columns 811 through 816 + + 0.8100 0.8110 0.8120 0.8130 0.8140 0.8150 + + Columns 817 through 822 + + 0.8160 0.8170 0.8180 0.8190 0.8200 0.8210 + + Columns 823 through 828 + + 0.8220 0.8230 0.8240 0.8250 0.8260 0.8270 + + Columns 829 through 834 + + 0.8280 0.8290 0.8300 0.8310 0.8320 0.8330 + + Columns 835 through 840 + + 0.8340 0.8350 0.8360 0.8370 0.8380 0.8390 + + Columns 841 through 846 + + 0.8400 0.8410 0.8420 0.8430 0.8440 0.8450 + + Columns 847 through 852 + + 0.8460 0.8470 0.8480 0.8490 0.8500 0.8510 + + Columns 853 through 858 + + 0.8520 0.8530 0.8540 0.8550 0.8560 0.8570 + + Columns 859 through 864 + + 0.8580 0.8590 0.8600 0.8610 0.8620 0.8630 + + Columns 865 through 870 + + 0.8640 0.8650 0.8660 0.8670 0.8680 0.8690 + + Columns 871 through 876 + + 0.8700 0.8710 0.8720 0.8730 0.8740 0.8750 + + Columns 877 through 882 + + 0.8760 0.8770 0.8780 0.8790 0.8800 0.8810 + + Columns 883 through 888 + + 0.8820 0.8830 0.8840 0.8850 0.8860 0.8870 + + Columns 889 through 894 + + 0.8880 0.8890 0.8900 0.8910 0.8920 0.8930 + + Columns 895 through 900 + + 0.8940 0.8950 0.8960 0.8970 0.8980 0.8990 + + Columns 901 through 906 + + 0.9000 0.9010 0.9020 0.9030 0.9040 0.9050 + + Columns 907 through 912 + + 0.9060 0.9070 0.9080 0.9090 0.9100 0.9110 + + Columns 913 through 918 + + 0.9120 0.9130 0.9140 0.9150 0.9160 0.9170 + + Columns 919 through 924 + + 0.9180 0.9190 0.9200 0.9210 0.9220 0.9230 + + Columns 925 through 930 + + 0.9240 0.9250 0.9260 0.9270 0.9280 0.9290 + + Columns 931 through 936 + + 0.9300 0.9310 0.9320 0.9330 0.9340 0.9350 + + Columns 937 through 942 + + 0.9360 0.9370 0.9380 0.9390 0.9400 0.9410 + + Columns 943 through 948 + + 0.9420 0.9430 0.9440 0.9450 0.9460 0.9470 + + Columns 949 through 954 + + 0.9480 0.9490 0.9500 0.9510 0.9520 0.9530 + + Columns 955 through 960 + + 0.9540 0.9550 0.9560 0.9570 0.9580 0.9590 + + Columns 961 through 966 + + 0.9600 0.9610 0.9620 0.9630 0.9640 0.9650 + + Columns 967 through 972 + + 0.9660 0.9670 0.9680 0.9690 0.9700 0.9710 + + Columns 973 through 978 + + 0.9720 0.9730 0.9740 0.9750 0.9760 0.9770 + + Columns 979 through 984 + + 0.9780 0.9790 0.9800 0.9810 0.9820 0.9830 + + Columns 985 through 990 + + 0.9840 0.9850 0.9860 0.9870 0.9880 0.9890 + + Columns 991 through 996 + + 0.9900 0.9910 0.9920 0.9930 0.9940 0.9950 + + Columns 997 through 1002 + + 0.9960 0.9970 0.9980 0.9990 1.0000 1.0010 + + Columns 1003 through 1008 + + 1.0020 1.0030 1.0040 1.0050 1.0060 1.0070 + + Columns 1009 through 1014 + + 1.0080 1.0090 1.0100 1.0110 1.0120 1.0130 + + Columns 1015 through 1020 + + 1.0140 1.0150 1.0160 1.0170 1.0180 1.0190 + + Columns 1021 through 1026 + + 1.0200 1.0210 1.0220 1.0230 1.0240 1.0250 + + Columns 1027 through 1032 + + 1.0260 1.0270 1.0280 1.0290 1.0300 1.0310 + + Columns 1033 through 1038 + + 1.0320 1.0330 1.0340 1.0350 1.0360 1.0370 + + Columns 1039 through 1044 + + 1.0380 1.0390 1.0400 1.0410 1.0420 1.0430 + + Columns 1045 through 1050 + + 1.0440 1.0450 1.0460 1.0470 1.0480 1.0490 + + Columns 1051 through 1056 + + 1.0500 1.0510 1.0520 1.0530 1.0540 1.0550 + + Columns 1057 through 1062 + + 1.0560 1.0570 1.0580 1.0590 1.0600 1.0610 + + Columns 1063 through 1068 + + 1.0620 1.0630 1.0640 1.0650 1.0660 1.0670 + + Columns 1069 through 1074 + + 1.0680 1.0690 1.0700 1.0710 1.0720 1.0730 + + Columns 1075 through 1080 + + 1.0740 1.0750 1.0760 1.0770 1.0780 1.0790 + + Columns 1081 through 1086 + + 1.0800 1.0810 1.0820 1.0830 1.0840 1.0850 + + Columns 1087 through 1092 + + 1.0860 1.0870 1.0880 1.0890 1.0900 1.0910 + + Columns 1093 through 1098 + + 1.0920 1.0930 1.0940 1.0950 1.0960 1.0970 + + Columns 1099 through 1104 + + 1.0980 1.0990 1.1000 1.1010 1.1020 1.1030 + + Columns 1105 through 1110 + + 1.1040 1.1050 1.1060 1.1070 1.1080 1.1090 + + Columns 1111 through 1116 + + 1.1100 1.1110 1.1120 1.1130 1.1140 1.1150 + + Columns 1117 through 1122 + + 1.1160 1.1170 1.1180 1.1190 1.1200 1.1210 + + Columns 1123 through 1128 + + 1.1220 1.1230 1.1240 1.1250 1.1260 1.1270 + + Columns 1129 through 1134 + + 1.1280 1.1290 1.1300 1.1310 1.1320 1.1330 + + Columns 1135 through 1140 + + 1.1340 1.1350 1.1360 1.1370 1.1380 1.1390 + + Columns 1141 through 1146 + + 1.1400 1.1410 1.1420 1.1430 1.1440 1.1450 + + Columns 1147 through 1152 + + 1.1460 1.1470 1.1480 1.1490 1.1500 1.1510 + + Columns 1153 through 1158 + + 1.1520 1.1530 1.1540 1.1550 1.1560 1.1570 + + Columns 1159 through 1164 + + 1.1580 1.1590 1.1600 1.1610 1.1620 1.1630 + + Columns 1165 through 1170 + + 1.1640 1.1650 1.1660 1.1670 1.1680 1.1690 + + Columns 1171 through 1176 + + 1.1700 1.1710 1.1720 1.1730 1.1740 1.1750 + + Columns 1177 through 1182 + + 1.1760 1.1770 1.1780 1.1790 1.1800 1.1810 + + Columns 1183 through 1188 + + 1.1820 1.1830 1.1840 1.1850 1.1860 1.1870 + + Columns 1189 through 1194 + + 1.1880 1.1890 1.1900 1.1910 1.1920 1.1930 + + Columns 1195 through 1200 + + 1.1940 1.1950 1.1960 1.1970 1.1980 1.1990 + + Columns 1201 through 1206 + + 1.2000 1.2010 1.2020 1.2030 1.2040 1.2050 + + Columns 1207 through 1212 + + 1.2060 1.2070 1.2080 1.2090 1.2100 1.2110 + + Columns 1213 through 1218 + + 1.2120 1.2130 1.2140 1.2150 1.2160 1.2170 + + Columns 1219 through 1224 + + 1.2180 1.2190 1.2200 1.2210 1.2220 1.2230 + + Columns 1225 through 1230 + + 1.2240 1.2250 1.2260 1.2270 1.2280 1.2290 + + Columns 1231 through 1236 + + 1.2300 1.2310 1.2320 1.2330 1.2340 1.2350 + + Columns 1237 through 1242 + + 1.2360 1.2370 1.2380 1.2390 1.2400 1.2410 + + Columns 1243 through 1248 + + 1.2420 1.2430 1.2440 1.2450 1.2460 1.2470 + + Columns 1249 through 1254 + + 1.2480 1.2490 1.2500 1.2510 1.2520 1.2530 + + Columns 1255 through 1260 + + 1.2540 1.2550 1.2560 1.2570 1.2580 1.2590 + + Columns 1261 through 1266 + + 1.2600 1.2610 1.2620 1.2630 1.2640 1.2650 + + Columns 1267 through 1272 + + 1.2660 1.2670 1.2680 1.2690 1.2700 1.2710 + + Columns 1273 through 1278 + + 1.2720 1.2730 1.2740 1.2750 1.2760 1.2770 + + Columns 1279 through 1284 + + 1.2780 1.2790 1.2800 1.2810 1.2820 1.2830 + + Columns 1285 through 1290 + + 1.2840 1.2850 1.2860 1.2870 1.2880 1.2890 + + Columns 1291 through 1296 + + 1.2900 1.2910 1.2920 1.2930 1.2940 1.2950 + + Columns 1297 through 1302 + + 1.2960 1.2970 1.2980 1.2990 1.3000 1.3010 + + Columns 1303 through 1308 + + 1.3020 1.3030 1.3040 1.3050 1.3060 1.3070 + + Columns 1309 through 1314 + + 1.3080 1.3090 1.3100 1.3110 1.3120 1.3130 + + Columns 1315 through 1320 + + 1.3140 1.3150 1.3160 1.3170 1.3180 1.3190 + + Columns 1321 through 1326 + + 1.3200 1.3210 1.3220 1.3230 1.3240 1.3250 + + Columns 1327 through 1332 + + 1.3260 1.3270 1.3280 1.3290 1.3300 1.3310 + + Columns 1333 through 1338 + + 1.3320 1.3330 1.3340 1.3350 1.3360 1.3370 + + Columns 1339 through 1344 + + 1.3380 1.3390 1.3400 1.3410 1.3420 1.3430 + + Columns 1345 through 1350 + + 1.3440 1.3450 1.3460 1.3470 1.3480 1.3490 + + Columns 1351 through 1356 + + 1.3500 1.3510 1.3520 1.3530 1.3540 1.3550 + + Columns 1357 through 1362 + + 1.3560 1.3570 1.3580 1.3590 1.3600 1.3610 + + Columns 1363 through 1368 + + 1.3620 1.3630 1.3640 1.3650 1.3660 1.3670 + + Columns 1369 through 1374 + + 1.3680 1.3690 1.3700 1.3710 1.3720 1.3730 + + Columns 1375 through 1380 + + 1.3740 1.3750 1.3760 1.3770 1.3780 1.3790 + + Columns 1381 through 1386 + + 1.3800 1.3810 1.3820 1.3830 1.3840 1.3850 + + Columns 1387 through 1392 + + 1.3860 1.3870 1.3880 1.3890 1.3900 1.3910 + + Columns 1393 through 1398 + + 1.3920 1.3930 1.3940 1.3950 1.3960 1.3970 + + Columns 1399 through 1404 + + 1.3980 1.3990 1.4000 1.4010 1.4020 1.4030 + + Columns 1405 through 1410 + + 1.4040 1.4050 1.4060 1.4070 1.4080 1.4090 + + Columns 1411 through 1416 + + 1.4100 1.4110 1.4120 1.4130 1.4140 1.4150 + + Columns 1417 through 1422 + + 1.4160 1.4170 1.4180 1.4190 1.4200 1.4210 + + Columns 1423 through 1428 + + 1.4220 1.4230 1.4240 1.4250 1.4260 1.4270 + + Columns 1429 through 1434 + + 1.4280 1.4290 1.4300 1.4310 1.4320 1.4330 + + Columns 1435 through 1440 + + 1.4340 1.4350 1.4360 1.4370 1.4380 1.4390 + + Columns 1441 through 1446 + + 1.4400 1.4410 1.4420 1.4430 1.4440 1.4450 + + Columns 1447 through 1452 + + 1.4460 1.4470 1.4480 1.4490 1.4500 1.4510 + + Columns 1453 through 1458 + + 1.4520 1.4530 1.4540 1.4550 1.4560 1.4570 + + Columns 1459 through 1464 + + 1.4580 1.4590 1.4600 1.4610 1.4620 1.4630 + + Columns 1465 through 1470 + + 1.4640 1.4650 1.4660 1.4670 1.4680 1.4690 + + Columns 1471 through 1476 + + 1.4700 1.4710 1.4720 1.4730 1.4740 1.4750 + + Columns 1477 through 1482 + + 1.4760 1.4770 1.4780 1.4790 1.4800 1.4810 + + Columns 1483 through 1488 + + 1.4820 1.4830 1.4840 1.4850 1.4860 1.4870 + + Columns 1489 through 1494 + + 1.4880 1.4890 1.4900 1.4910 1.4920 1.4930 + + Columns 1495 through 1500 + + 1.4940 1.4950 1.4960 1.4970 1.4980 1.4990 + + Columns 1501 through 1506 + + 1.5000 1.5010 1.5020 1.5030 1.5040 1.5050 + + Columns 1507 through 1512 + + 1.5060 1.5070 1.5080 1.5090 1.5100 1.5110 + + Columns 1513 through 1518 + + 1.5120 1.5130 1.5140 1.5150 1.5160 1.5170 + + Columns 1519 through 1524 + + 1.5180 1.5190 1.5200 1.5210 1.5220 1.5230 + + Columns 1525 through 1530 + + 1.5240 1.5250 1.5260 1.5270 1.5280 1.5290 + + Columns 1531 through 1536 + + 1.5300 1.5310 1.5320 1.5330 1.5340 1.5350 + + Columns 1537 through 1542 + + 1.5360 1.5370 1.5380 1.5390 1.5400 1.5410 + + Columns 1543 through 1548 + + 1.5420 1.5430 1.5440 1.5450 1.5460 1.5470 + + Columns 1549 through 1554 + + 1.5480 1.5490 1.5500 1.5510 1.5520 1.5530 + + Columns 1555 through 1560 + + 1.5540 1.5550 1.5560 1.5570 1.5580 1.5590 + + Columns 1561 through 1566 + + 1.5600 1.5610 1.5620 1.5630 1.5640 1.5650 + + Columns 1567 through 1572 + + 1.5660 1.5670 1.5680 1.5690 1.5700 1.5710 + + Columns 1573 through 1578 + + 1.5720 1.5730 1.5740 1.5750 1.5760 1.5770 + + Columns 1579 through 1584 + + 1.5780 1.5790 1.5800 1.5810 1.5820 1.5830 + + Columns 1585 through 1590 + + 1.5840 1.5850 1.5860 1.5870 1.5880 1.5890 + + Columns 1591 through 1596 + + 1.5900 1.5910 1.5920 1.5930 1.5940 1.5950 + + Columns 1597 through 1602 + + 1.5960 1.5970 1.5980 1.5990 1.6000 1.6010 + + Columns 1603 through 1608 + + 1.6020 1.6030 1.6040 1.6050 1.6060 1.6070 + + Columns 1609 through 1614 + + 1.6080 1.6090 1.6100 1.6110 1.6120 1.6130 + + Columns 1615 through 1620 + + 1.6140 1.6150 1.6160 1.6170 1.6180 1.6190 + + Columns 1621 through 1626 + + 1.6200 1.6210 1.6220 1.6230 1.6240 1.6250 + + Columns 1627 through 1632 + + 1.6260 1.6270 1.6280 1.6290 1.6300 1.6310 + + Columns 1633 through 1638 + + 1.6320 1.6330 1.6340 1.6350 1.6360 1.6370 + + Columns 1639 through 1644 + + 1.6380 1.6390 1.6400 1.6410 1.6420 1.6430 + + Columns 1645 through 1650 + + 1.6440 1.6450 1.6460 1.6470 1.6480 1.6490 + + Columns 1651 through 1656 + + 1.6500 1.6510 1.6520 1.6530 1.6540 1.6550 + + Columns 1657 through 1662 + + 1.6560 1.6570 1.6580 1.6590 1.6600 1.6610 + + Columns 1663 through 1668 + + 1.6620 1.6630 1.6640 1.6650 1.6660 1.6670 + + Columns 1669 through 1674 + + 1.6680 1.6690 1.6700 1.6710 1.6720 1.6730 + + Columns 1675 through 1680 + + 1.6740 1.6750 1.6760 1.6770 1.6780 1.6790 + + Columns 1681 through 1686 + + 1.6800 1.6810 1.6820 1.6830 1.6840 1.6850 + + Columns 1687 through 1692 + + 1.6860 1.6870 1.6880 1.6890 1.6900 1.6910 + + Columns 1693 through 1698 + + 1.6920 1.6930 1.6940 1.6950 1.6960 1.6970 + + Columns 1699 through 1704 + + 1.6980 1.6990 1.7000 1.7010 1.7020 1.7030 + + Columns 1705 through 1710 + + 1.7040 1.7050 1.7060 1.7070 1.7080 1.7090 + + Columns 1711 through 1716 + + 1.7100 1.7110 1.7120 1.7130 1.7140 1.7150 + + Columns 1717 through 1722 + + 1.7160 1.7170 1.7180 1.7190 1.7200 1.7210 + + Columns 1723 through 1728 + + 1.7220 1.7230 1.7240 1.7250 1.7260 1.7270 + + Columns 1729 through 1734 + + 1.7280 1.7290 1.7300 1.7310 1.7320 1.7330 + + Columns 1735 through 1740 + + 1.7340 1.7350 1.7360 1.7370 1.7380 1.7390 + + Columns 1741 through 1746 + + 1.7400 1.7410 1.7420 1.7430 1.7440 1.7450 + + Columns 1747 through 1752 + + 1.7460 1.7470 1.7480 1.7490 1.7500 1.7510 + + Columns 1753 through 1758 + + 1.7520 1.7530 1.7540 1.7550 1.7560 1.7570 + + Columns 1759 through 1764 + + 1.7580 1.7590 1.7600 1.7610 1.7620 1.7630 + + Columns 1765 through 1770 + + 1.7640 1.7650 1.7660 1.7670 1.7680 1.7690 + + Columns 1771 through 1776 + + 1.7700 1.7710 1.7720 1.7730 1.7740 1.7750 + + Columns 1777 through 1782 + + 1.7760 1.7770 1.7780 1.7790 1.7800 1.7810 + + Columns 1783 through 1788 + + 1.7820 1.7830 1.7840 1.7850 1.7860 1.7870 + + Columns 1789 through 1794 + + 1.7880 1.7890 1.7900 1.7910 1.7920 1.7930 + + Columns 1795 through 1800 + + 1.7940 1.7950 1.7960 1.7970 1.7980 1.7990 + + Columns 1801 through 1806 + + 1.8000 1.8010 1.8020 1.8030 1.8040 1.8050 + + Columns 1807 through 1812 + + 1.8060 1.8070 1.8080 1.8090 1.8100 1.8110 + + Columns 1813 through 1818 + + 1.8120 1.8130 1.8140 1.8150 1.8160 1.8170 + + Columns 1819 through 1824 + + 1.8180 1.8190 1.8200 1.8210 1.8220 1.8230 + + Columns 1825 through 1830 + + 1.8240 1.8250 1.8260 1.8270 1.8280 1.8290 + + Columns 1831 through 1836 + + 1.8300 1.8310 1.8320 1.8330 1.8340 1.8350 + + Columns 1837 through 1842 + + 1.8360 1.8370 1.8380 1.8390 1.8400 1.8410 + + Columns 1843 through 1848 + + 1.8420 1.8430 1.8440 1.8450 1.8460 1.8470 + + Columns 1849 through 1854 + + 1.8480 1.8490 1.8500 1.8510 1.8520 1.8530 + + Columns 1855 through 1860 + + 1.8540 1.8550 1.8560 1.8570 1.8580 1.8590 + + Columns 1861 through 1866 + + 1.8600 1.8610 1.8620 1.8630 1.8640 1.8650 + + Columns 1867 through 1872 + + 1.8660 1.8670 1.8680 1.8690 1.8700 1.8710 + + Columns 1873 through 1878 + + 1.8720 1.8730 1.8740 1.8750 1.8760 1.8770 + + Columns 1879 through 1884 + + 1.8780 1.8790 1.8800 1.8810 1.8820 1.8830 + + Columns 1885 through 1890 + + 1.8840 1.8850 1.8860 1.8870 1.8880 1.8890 + + Columns 1891 through 1896 + + 1.8900 1.8910 1.8920 1.8930 1.8940 1.8950 + + Columns 1897 through 1902 + + 1.8960 1.8970 1.8980 1.8990 1.9000 1.9010 + + Columns 1903 through 1908 + + 1.9020 1.9030 1.9040 1.9050 1.9060 1.9070 + + Columns 1909 through 1914 + + 1.9080 1.9090 1.9100 1.9110 1.9120 1.9130 + + Columns 1915 through 1920 + + 1.9140 1.9150 1.9160 1.9170 1.9180 1.9190 + + Columns 1921 through 1926 + + 1.9200 1.9210 1.9220 1.9230 1.9240 1.9250 + + Columns 1927 through 1932 + + 1.9260 1.9270 1.9280 1.9290 1.9300 1.9310 + + Columns 1933 through 1938 + + 1.9320 1.9330 1.9340 1.9350 1.9360 1.9370 + + Columns 1939 through 1944 + + 1.9380 1.9390 1.9400 1.9410 1.9420 1.9430 + + Columns 1945 through 1950 + + 1.9440 1.9450 1.9460 1.9470 1.9480 1.9490 + + Columns 1951 through 1956 + + 1.9500 1.9510 1.9520 1.9530 1.9540 1.9550 + + Columns 1957 through 1962 + + 1.9560 1.9570 1.9580 1.9590 1.9600 1.9610 + + Columns 1963 through 1968 + + 1.9620 1.9630 1.9640 1.9650 1.9660 1.9670 + + Columns 1969 through 1974 + + 1.9680 1.9690 1.9700 1.9710 1.9720 1.9730 + + Columns 1975 through 1980 + + 1.9740 1.9750 1.9760 1.9770 1.9780 1.9790 + + Columns 1981 through 1986 + + 1.9800 1.9810 1.9820 1.9830 1.9840 1.9850 + + Columns 1987 through 1992 + + 1.9860 1.9870 1.9880 1.9890 1.9900 1.9910 + + Columns 1993 through 1998 + + 1.9920 1.9930 1.9940 1.9950 1.9960 1.9970 + + Columns 1999 through 2001 + + 1.9980 1.9990 2.0000 + +x=0:0.001:2; +y=8-2*x-7*exp(-x/2); graph(x,y); +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.MLGraph')" style="font-weight:bold">matlab.internal.graph.MLGraph</a> +Source must be a dense double array of positive integer node +indices. + +Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.constructFromEdgeList', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m', 136)" style="font-weight:bold">matlab.internal.graph.constructFromEdgeList</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m',136,0)">line 136</a>) + G = underlyingCtor(s, t, totalNodes); + +Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('graph', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m', 298)" style="font-weight:bold">graph</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m',298,0)">line 298</a>) + matlab.internal.graph.constructFromEdgeList(... +} +clear x,y + +y = + + Columns 1 through 6 + + 1.0000 1.0015 1.0030 1.0045 1.0060 1.0075 + + Columns 7 through 12 + + 1.0090 1.0105 1.0119 1.0134 1.0149 1.0164 + + Columns 13 through 18 + + 1.0179 1.0194 1.0208 1.0223 1.0238 1.0252 + + Columns 19 through 24 + + 1.0267 1.0282 1.0297 1.0311 1.0326 1.0340 + + Columns 25 through 30 + + 1.0355 1.0370 1.0384 1.0399 1.0413 1.0428 + + Columns 31 through 36 + + 1.0442 1.0457 1.0471 1.0486 1.0500 1.0514 + + Columns 37 through 42 + + 1.0529 1.0543 1.0557 1.0572 1.0586 1.0600 + + Columns 43 through 48 + + 1.0615 1.0629 1.0643 1.0657 1.0672 1.0686 + + Columns 49 through 54 + + 1.0700 1.0714 1.0728 1.0742 1.0757 1.0771 + + Columns 55 through 60 + + 1.0785 1.0799 1.0813 1.0827 1.0841 1.0855 + + Columns 61 through 66 + + 1.0869 1.0883 1.0897 1.0911 1.0925 1.0938 + + Columns 67 through 72 + + 1.0952 1.0966 1.0980 1.0994 1.1008 1.1021 + + Columns 73 through 78 + + 1.1035 1.1049 1.1063 1.1076 1.1090 1.1104 + + Columns 79 through 84 + + 1.1117 1.1131 1.1145 1.1158 1.1172 1.1186 + + Columns 85 through 90 + + 1.1199 1.1213 1.1226 1.1240 1.1253 1.1267 + + Columns 91 through 96 + + 1.1280 1.1294 1.1307 1.1320 1.1334 1.1347 + + Columns 97 through 102 + + 1.1361 1.1374 1.1387 1.1401 1.1414 1.1427 + + Columns 103 through 108 + + 1.1440 1.1454 1.1467 1.1480 1.1493 1.1507 + + Columns 109 through 114 + + 1.1520 1.1533 1.1546 1.1559 1.1572 1.1585 + + Columns 115 through 120 + + 1.1598 1.1611 1.1625 1.1638 1.1651 1.1664 + + Columns 121 through 126 + + 1.1676 1.1689 1.1702 1.1715 1.1728 1.1741 + + Columns 127 through 132 + + 1.1754 1.1767 1.1780 1.1792 1.1805 1.1818 + + Columns 133 through 138 + + 1.1831 1.1844 1.1856 1.1869 1.1882 1.1894 + + Columns 139 through 144 + + 1.1907 1.1920 1.1932 1.1945 1.1958 1.1970 + + Columns 145 through 150 + + 1.1983 1.1995 1.2008 1.2020 1.2033 1.2045 + + Columns 151 through 156 + + 1.2058 1.2070 1.2083 1.2095 1.2108 1.2120 + + Columns 157 through 162 + + 1.2132 1.2145 1.2157 1.2170 1.2182 1.2194 + + Columns 163 through 168 + + 1.2206 1.2219 1.2231 1.2243 1.2255 1.2268 + + Columns 169 through 174 + + 1.2280 1.2292 1.2304 1.2316 1.2328 1.2341 + + Columns 175 through 180 + + 1.2353 1.2365 1.2377 1.2389 1.2401 1.2413 + + Columns 181 through 186 + + 1.2425 1.2437 1.2449 1.2461 1.2473 1.2485 + + Columns 187 through 192 + + 1.2496 1.2508 1.2520 1.2532 1.2544 1.2556 + + Columns 193 through 198 + + 1.2568 1.2579 1.2591 1.2603 1.2615 1.2626 + + Columns 199 through 204 + + 1.2638 1.2650 1.2661 1.2673 1.2685 1.2696 + + Columns 205 through 210 + + 1.2708 1.2720 1.2731 1.2743 1.2754 1.2766 + + Columns 211 through 216 + + 1.2777 1.2789 1.2800 1.2812 1.2823 1.2835 + + Columns 217 through 222 + + 1.2846 1.2857 1.2869 1.2880 1.2892 1.2903 + + Columns 223 through 228 + + 1.2914 1.2926 1.2937 1.2948 1.2959 1.2971 + + Columns 229 through 234 + + 1.2982 1.2993 1.3004 1.3016 1.3027 1.3038 + + Columns 235 through 240 + + 1.3049 1.3060 1.3071 1.3082 1.3093 1.3105 + + Columns 241 through 246 + + 1.3116 1.3127 1.3138 1.3149 1.3160 1.3171 + + Columns 247 through 252 + + 1.3182 1.3192 1.3203 1.3214 1.3225 1.3236 + + Columns 253 through 258 + + 1.3247 1.3258 1.3269 1.3279 1.3290 1.3301 + + Columns 259 through 264 + + 1.3312 1.3323 1.3333 1.3344 1.3355 1.3365 + + Columns 265 through 270 + + 1.3376 1.3387 1.3397 1.3408 1.3419 1.3429 + + Columns 271 through 276 + + 1.3440 1.3450 1.3461 1.3472 1.3482 1.3493 + + Columns 277 through 282 + + 1.3503 1.3514 1.3524 1.3534 1.3545 1.3555 + + Columns 283 through 288 + + 1.3566 1.3576 1.3587 1.3597 1.3607 1.3618 + + Columns 289 through 294 + + 1.3628 1.3638 1.3648 1.3659 1.3669 1.3679 + + Columns 295 through 300 + + 1.3689 1.3700 1.3710 1.3720 1.3730 1.3740 + + Columns 301 through 306 + + 1.3750 1.3761 1.3771 1.3781 1.3791 1.3801 + + Columns 307 through 312 + + 1.3811 1.3821 1.3831 1.3841 1.3851 1.3861 + + Columns 313 through 318 + + 1.3871 1.3881 1.3891 1.3901 1.3911 1.3920 + + Columns 319 through 324 + + 1.3930 1.3940 1.3950 1.3960 1.3970 1.3979 + + Columns 325 through 330 + + 1.3989 1.3999 1.4009 1.4018 1.4028 1.4038 + + Columns 331 through 336 + + 1.4047 1.4057 1.4067 1.4076 1.4086 1.4096 + + Columns 337 through 342 + + 1.4105 1.4115 1.4124 1.4134 1.4143 1.4153 + + Columns 343 through 348 + + 1.4162 1.4172 1.4181 1.4191 1.4200 1.4210 + + Columns 349 through 354 + + 1.4219 1.4229 1.4238 1.4247 1.4257 1.4266 + + Columns 355 through 360 + + 1.4275 1.4285 1.4294 1.4303 1.4313 1.4322 + + Columns 361 through 366 + + 1.4331 1.4340 1.4350 1.4359 1.4368 1.4377 + + Columns 367 through 372 + + 1.4386 1.4395 1.4404 1.4414 1.4423 1.4432 + + Columns 373 through 378 + + 1.4441 1.4450 1.4459 1.4468 1.4477 1.4486 + + Columns 379 through 384 + + 1.4495 1.4504 1.4513 1.4522 1.4531 1.4540 + + Columns 385 through 390 + + 1.4549 1.4557 1.4566 1.4575 1.4584 1.4593 + + Columns 391 through 396 + + 1.4602 1.4610 1.4619 1.4628 1.4637 1.4645 + + Columns 397 through 402 + + 1.4654 1.4663 1.4672 1.4680 1.4689 1.4697 + + Columns 403 through 408 + + 1.4706 1.4715 1.4723 1.4732 1.4741 1.4749 + + Columns 409 through 414 + + 1.4758 1.4766 1.4775 1.4783 1.4792 1.4800 + + Columns 415 through 420 + + 1.4809 1.4817 1.4826 1.4834 1.4842 1.4851 + + Columns 421 through 426 + + 1.4859 1.4867 1.4876 1.4884 1.4892 1.4901 + + Columns 427 through 432 + + 1.4909 1.4917 1.4926 1.4934 1.4942 1.4950 + + Columns 433 through 438 + + 1.4959 1.4967 1.4975 1.4983 1.4991 1.4999 + + Columns 439 through 444 + + 1.5007 1.5016 1.5024 1.5032 1.5040 1.5048 + + Columns 445 through 450 + + 1.5056 1.5064 1.5072 1.5080 1.5088 1.5096 + + Columns 451 through 456 + + 1.5104 1.5112 1.5120 1.5128 1.5136 1.5143 + + Columns 457 through 462 + + 1.5151 1.5159 1.5167 1.5175 1.5183 1.5190 + + Columns 463 through 468 + + 1.5198 1.5206 1.5214 1.5222 1.5229 1.5237 + + Columns 469 through 474 + + 1.5245 1.5252 1.5260 1.5268 1.5275 1.5283 + + Columns 475 through 480 + + 1.5291 1.5298 1.5306 1.5313 1.5321 1.5329 + + Columns 481 through 486 + + 1.5336 1.5344 1.5351 1.5359 1.5366 1.5374 + + Columns 487 through 492 + + 1.5381 1.5388 1.5396 1.5403 1.5411 1.5418 + + Columns 493 through 498 + + 1.5425 1.5433 1.5440 1.5447 1.5455 1.5462 + + Columns 499 through 504 + + 1.5469 1.5477 1.5484 1.5491 1.5498 1.5506 + + Columns 505 through 510 + + 1.5513 1.5520 1.5527 1.5534 1.5542 1.5549 + + Columns 511 through 516 + + 1.5556 1.5563 1.5570 1.5577 1.5584 1.5591 + + Columns 517 through 522 + + 1.5598 1.5605 1.5612 1.5619 1.5626 1.5633 + + Columns 523 through 528 + + 1.5640 1.5647 1.5654 1.5661 1.5668 1.5675 + + Columns 529 through 534 + + 1.5682 1.5689 1.5696 1.5702 1.5709 1.5716 + + Columns 535 through 540 + + 1.5723 1.5730 1.5736 1.5743 1.5750 1.5757 + + Columns 541 through 546 + + 1.5763 1.5770 1.5777 1.5784 1.5790 1.5797 + + Columns 547 through 552 + + 1.5804 1.5810 1.5817 1.5823 1.5830 1.5837 + + Columns 553 through 558 + + 1.5843 1.5850 1.5856 1.5863 1.5869 1.5876 + + Columns 559 through 564 + + 1.5882 1.5889 1.5895 1.5902 1.5908 1.5914 + + Columns 565 through 570 + + 1.5921 1.5927 1.5934 1.5940 1.5946 1.5953 + + Columns 571 through 576 + + 1.5959 1.5965 1.5972 1.5978 1.5984 1.5990 + + Columns 577 through 582 + + 1.5997 1.6003 1.6009 1.6015 1.6022 1.6028 + + Columns 583 through 588 + + 1.6034 1.6040 1.6046 1.6052 1.6058 1.6065 + + Columns 589 through 594 + + 1.6071 1.6077 1.6083 1.6089 1.6095 1.6101 + + Columns 595 through 600 + + 1.6107 1.6113 1.6119 1.6125 1.6131 1.6137 + + Columns 601 through 606 + + 1.6143 1.6149 1.6155 1.6160 1.6166 1.6172 + + Columns 607 through 612 + + 1.6178 1.6184 1.6190 1.6196 1.6201 1.6207 + + Columns 613 through 618 + + 1.6213 1.6219 1.6224 1.6230 1.6236 1.6242 + + Columns 619 through 624 + + 1.6247 1.6253 1.6259 1.6264 1.6270 1.6276 + + Columns 625 through 630 + + 1.6281 1.6287 1.6293 1.6298 1.6304 1.6309 + + Columns 631 through 636 + + 1.6315 1.6320 1.6326 1.6331 1.6337 1.6342 + + Columns 637 through 642 + + 1.6348 1.6353 1.6359 1.6364 1.6370 1.6375 + + Columns 643 through 648 + + 1.6380 1.6386 1.6391 1.6396 1.6402 1.6407 + + Columns 649 through 654 + + 1.6412 1.6418 1.6423 1.6428 1.6434 1.6439 + + Columns 655 through 660 + + 1.6444 1.6449 1.6455 1.6460 1.6465 1.6470 + + Columns 661 through 666 + + 1.6475 1.6480 1.6486 1.6491 1.6496 1.6501 + + Columns 667 through 672 + + 1.6506 1.6511 1.6516 1.6521 1.6526 1.6531 + + Columns 673 through 678 + + 1.6536 1.6541 1.6546 1.6551 1.6556 1.6561 + + Columns 679 through 684 + + 1.6566 1.6571 1.6576 1.6581 1.6586 1.6591 + + Columns 685 through 690 + + 1.6596 1.6600 1.6605 1.6610 1.6615 1.6620 + + Columns 691 through 696 + + 1.6625 1.6629 1.6634 1.6639 1.6644 1.6648 + + Columns 697 through 702 + + 1.6653 1.6658 1.6662 1.6667 1.6672 1.6676 + + Columns 703 through 708 + + 1.6681 1.6686 1.6690 1.6695 1.6700 1.6704 + + Columns 709 through 714 + + 1.6709 1.6713 1.6718 1.6722 1.6727 1.6731 + + Columns 715 through 720 + + 1.6736 1.6740 1.6745 1.6749 1.6754 1.6758 + + Columns 721 through 726 + + 1.6763 1.6767 1.6771 1.6776 1.6780 1.6785 + + Columns 727 through 732 + + 1.6789 1.6793 1.6798 1.6802 1.6806 1.6811 + + Columns 733 through 738 + + 1.6815 1.6819 1.6823 1.6828 1.6832 1.6836 + + Columns 739 through 744 + + 1.6840 1.6844 1.6849 1.6853 1.6857 1.6861 + + Columns 745 through 750 + + 1.6865 1.6869 1.6873 1.6878 1.6882 1.6886 + + Columns 751 through 756 + + 1.6890 1.6894 1.6898 1.6902 1.6906 1.6910 + + Columns 757 through 762 + + 1.6914 1.6918 1.6922 1.6926 1.6930 1.6934 + + Columns 763 through 768 + + 1.6938 1.6941 1.6945 1.6949 1.6953 1.6957 + + Columns 769 through 774 + + 1.6961 1.6965 1.6968 1.6972 1.6976 1.6980 + + Columns 775 through 780 + + 1.6984 1.6987 1.6991 1.6995 1.6999 1.7002 + + Columns 781 through 786 + + 1.7006 1.7010 1.7013 1.7017 1.7021 1.7024 + + Columns 787 through 792 + + 1.7028 1.7032 1.7035 1.7039 1.7042 1.7046 + + Columns 793 through 798 + + 1.7050 1.7053 1.7057 1.7060 1.7064 1.7067 + + Columns 799 through 804 + + 1.7071 1.7074 1.7078 1.7081 1.7084 1.7088 + + Columns 805 through 810 + + 1.7091 1.7095 1.7098 1.7102 1.7105 1.7108 + + Columns 811 through 816 + + 1.7112 1.7115 1.7118 1.7122 1.7125 1.7128 + + Columns 817 through 822 + + 1.7131 1.7135 1.7138 1.7141 1.7144 1.7148 + + Columns 823 through 828 + + 1.7151 1.7154 1.7157 1.7160 1.7164 1.7167 + + Columns 829 through 834 + + 1.7170 1.7173 1.7176 1.7179 1.7182 1.7185 + + Columns 835 through 840 + + 1.7189 1.7192 1.7195 1.7198 1.7201 1.7204 + + Columns 841 through 846 + + 1.7207 1.7210 1.7213 1.7216 1.7219 1.7222 + + Columns 847 through 852 + + 1.7224 1.7227 1.7230 1.7233 1.7236 1.7239 + + Columns 853 through 858 + + 1.7242 1.7245 1.7248 1.7250 1.7253 1.7256 + + Columns 859 through 864 + + 1.7259 1.7262 1.7264 1.7267 1.7270 1.7273 + + Columns 865 through 870 + + 1.7275 1.7278 1.7281 1.7283 1.7286 1.7289 + + Columns 871 through 876 + + 1.7291 1.7294 1.7297 1.7299 1.7302 1.7305 + + Columns 877 through 882 + + 1.7307 1.7310 1.7312 1.7315 1.7317 1.7320 + + Columns 883 through 888 + + 1.7323 1.7325 1.7328 1.7330 1.7332 1.7335 + + Columns 889 through 894 + + 1.7337 1.7340 1.7342 1.7345 1.7347 1.7350 + + Columns 895 through 900 + + 1.7352 1.7354 1.7357 1.7359 1.7361 1.7364 + + Columns 901 through 906 + + 1.7366 1.7368 1.7371 1.7373 1.7375 1.7377 + + Columns 907 through 912 + + 1.7380 1.7382 1.7384 1.7386 1.7389 1.7391 + + Columns 913 through 918 + + 1.7393 1.7395 1.7397 1.7400 1.7402 1.7404 + + Columns 919 through 924 + + 1.7406 1.7408 1.7410 1.7412 1.7414 1.7416 + + Columns 925 through 930 + + 1.7418 1.7420 1.7423 1.7425 1.7427 1.7429 + + Columns 931 through 936 + + 1.7431 1.7433 1.7434 1.7436 1.7438 1.7440 + + Columns 937 through 942 + + 1.7442 1.7444 1.7446 1.7448 1.7450 1.7452 + + Columns 943 through 948 + + 1.7454 1.7455 1.7457 1.7459 1.7461 1.7463 + + Columns 949 through 954 + + 1.7464 1.7466 1.7468 1.7470 1.7472 1.7473 + + Columns 955 through 960 + + 1.7475 1.7477 1.7478 1.7480 1.7482 1.7483 + + Columns 961 through 966 + + 1.7485 1.7487 1.7488 1.7490 1.7492 1.7493 + + Columns 967 through 972 + + 1.7495 1.7496 1.7498 1.7500 1.7501 1.7503 + + Columns 973 through 978 + + 1.7504 1.7506 1.7507 1.7509 1.7510 1.7512 + + Columns 979 through 984 + + 1.7513 1.7515 1.7516 1.7518 1.7519 1.7520 + + Columns 985 through 990 + + 1.7522 1.7523 1.7525 1.7526 1.7527 1.7529 + + Columns 991 through 996 + + 1.7530 1.7531 1.7533 1.7534 1.7535 1.7537 + + Columns 997 through 1002 + + 1.7538 1.7539 1.7540 1.7542 1.7543 1.7544 + + Columns 1003 through 1008 + + 1.7545 1.7546 1.7548 1.7549 1.7550 1.7551 + + Columns 1009 through 1014 + + 1.7552 1.7553 1.7555 1.7556 1.7557 1.7558 + + Columns 1015 through 1020 + + 1.7559 1.7560 1.7561 1.7562 1.7563 1.7564 + + Columns 1021 through 1026 + + 1.7565 1.7566 1.7567 1.7568 1.7569 1.7570 + + Columns 1027 through 1032 + + 1.7571 1.7572 1.7573 1.7574 1.7575 1.7576 + + Columns 1033 through 1038 + + 1.7577 1.7578 1.7579 1.7579 1.7580 1.7581 + + Columns 1039 through 1044 + + 1.7582 1.7583 1.7584 1.7584 1.7585 1.7586 + + Columns 1045 through 1050 + + 1.7587 1.7587 1.7588 1.7589 1.7590 1.7590 + + Columns 1051 through 1056 + + 1.7591 1.7592 1.7593 1.7593 1.7594 1.7595 + + Columns 1057 through 1062 + + 1.7595 1.7596 1.7596 1.7597 1.7598 1.7598 + + Columns 1063 through 1068 + + 1.7599 1.7599 1.7600 1.7601 1.7601 1.7602 + + Columns 1069 through 1074 + + 1.7602 1.7603 1.7603 1.7604 1.7604 1.7605 + + Columns 1075 through 1080 + + 1.7605 1.7606 1.7606 1.7606 1.7607 1.7607 + + Columns 1081 through 1086 + + 1.7608 1.7608 1.7608 1.7609 1.7609 1.7609 + + Columns 1087 through 1092 + + 1.7610 1.7610 1.7610 1.7611 1.7611 1.7611 + + Columns 1093 through 1098 + + 1.7612 1.7612 1.7612 1.7612 1.7613 1.7613 + + Columns 1099 through 1104 + + 1.7613 1.7613 1.7614 1.7614 1.7614 1.7614 + + Columns 1105 through 1110 + + 1.7614 1.7614 1.7614 1.7615 1.7615 1.7615 + + Columns 1111 through 1116 + + 1.7615 1.7615 1.7615 1.7615 1.7615 1.7615 + + Columns 1117 through 1122 + + 1.7615 1.7615 1.7615 1.7615 1.7615 1.7615 + + Columns 1123 through 1128 + + 1.7615 1.7615 1.7615 1.7615 1.7615 1.7615 + + Columns 1129 through 1134 + + 1.7615 1.7615 1.7615 1.7615 1.7615 1.7614 + + Columns 1135 through 1140 + + 1.7614 1.7614 1.7614 1.7614 1.7614 1.7613 + + Columns 1141 through 1146 + + 1.7613 1.7613 1.7613 1.7613 1.7612 1.7612 + + Columns 1147 through 1152 + + 1.7612 1.7612 1.7611 1.7611 1.7611 1.7610 + + Columns 1153 through 1158 + + 1.7610 1.7610 1.7609 1.7609 1.7609 1.7608 + + Columns 1159 through 1164 + + 1.7608 1.7608 1.7607 1.7607 1.7606 1.7606 + + Columns 1165 through 1170 + + 1.7605 1.7605 1.7605 1.7604 1.7604 1.7603 + + Columns 1171 through 1176 + + 1.7603 1.7602 1.7602 1.7601 1.7601 1.7600 + + Columns 1177 through 1182 + + 1.7599 1.7599 1.7598 1.7598 1.7597 1.7596 + + Columns 1183 through 1188 + + 1.7596 1.7595 1.7595 1.7594 1.7593 1.7593 + + Columns 1189 through 1194 + + 1.7592 1.7591 1.7591 1.7590 1.7589 1.7588 + + Columns 1195 through 1200 + + 1.7588 1.7587 1.7586 1.7586 1.7585 1.7584 + + Columns 1201 through 1206 + + 1.7583 1.7582 1.7582 1.7581 1.7580 1.7579 + + Columns 1207 through 1212 + + 1.7578 1.7577 1.7577 1.7576 1.7575 1.7574 + + Columns 1213 through 1218 + + 1.7573 1.7572 1.7571 1.7570 1.7569 1.7568 + + Columns 1219 through 1224 + + 1.7567 1.7566 1.7565 1.7564 1.7563 1.7562 + + Columns 1225 through 1230 + + 1.7561 1.7560 1.7559 1.7558 1.7557 1.7556 + + Columns 1231 through 1236 + + 1.7555 1.7554 1.7553 1.7552 1.7551 1.7550 + + Columns 1237 through 1242 + + 1.7549 1.7547 1.7546 1.7545 1.7544 1.7543 + + Columns 1243 through 1248 + + 1.7542 1.7540 1.7539 1.7538 1.7537 1.7535 + + Columns 1249 through 1254 + + 1.7534 1.7533 1.7532 1.7530 1.7529 1.7528 + + Columns 1255 through 1260 + + 1.7527 1.7525 1.7524 1.7523 1.7521 1.7520 + + Columns 1261 through 1266 + + 1.7519 1.7517 1.7516 1.7514 1.7513 1.7512 + + Columns 1267 through 1272 + + 1.7510 1.7509 1.7507 1.7506 1.7505 1.7503 + + Columns 1273 through 1278 + + 1.7502 1.7500 1.7499 1.7497 1.7496 1.7494 + + Columns 1279 through 1284 + + 1.7493 1.7491 1.7490 1.7488 1.7486 1.7485 + + Columns 1285 through 1290 + + 1.7483 1.7482 1.7480 1.7478 1.7477 1.7475 + + Columns 1291 through 1296 + + 1.7474 1.7472 1.7470 1.7469 1.7467 1.7465 + + Columns 1297 through 1302 + + 1.7464 1.7462 1.7460 1.7459 1.7457 1.7455 + + Columns 1303 through 1308 + + 1.7453 1.7452 1.7450 1.7448 1.7446 1.7444 + + Columns 1309 through 1314 + + 1.7443 1.7441 1.7439 1.7437 1.7435 1.7434 + + Columns 1315 through 1320 + + 1.7432 1.7430 1.7428 1.7426 1.7424 1.7422 + + Columns 1321 through 1326 + + 1.7420 1.7418 1.7417 1.7415 1.7413 1.7411 + + Columns 1327 through 1332 + + 1.7409 1.7407 1.7405 1.7403 1.7401 1.7399 + + Columns 1333 through 1338 + + 1.7397 1.7395 1.7393 1.7391 1.7389 1.7387 + + Columns 1339 through 1344 + + 1.7385 1.7382 1.7380 1.7378 1.7376 1.7374 + + Columns 1345 through 1350 + + 1.7372 1.7370 1.7368 1.7366 1.7363 1.7361 + + Columns 1351 through 1356 + + 1.7359 1.7357 1.7355 1.7352 1.7350 1.7348 + + Columns 1357 through 1362 + + 1.7346 1.7344 1.7341 1.7339 1.7337 1.7335 + + Columns 1363 through 1368 + + 1.7332 1.7330 1.7328 1.7325 1.7323 1.7321 + + Columns 1369 through 1374 + + 1.7318 1.7316 1.7314 1.7311 1.7309 1.7307 + + Columns 1375 through 1380 + + 1.7304 1.7302 1.7299 1.7297 1.7295 1.7292 + + Columns 1381 through 1386 + + 1.7290 1.7287 1.7285 1.7282 1.7280 1.7277 + + Columns 1387 through 1392 + + 1.7275 1.7272 1.7270 1.7267 1.7265 1.7262 + + Columns 1393 through 1398 + + 1.7260 1.7257 1.7255 1.7252 1.7249 1.7247 + + Columns 1399 through 1404 + + 1.7244 1.7242 1.7239 1.7236 1.7234 1.7231 + + Columns 1405 through 1410 + + 1.7228 1.7226 1.7223 1.7220 1.7218 1.7215 + + Columns 1411 through 1416 + + 1.7212 1.7210 1.7207 1.7204 1.7202 1.7199 + + Columns 1417 through 1422 + + 1.7196 1.7193 1.7190 1.7188 1.7185 1.7182 + + Columns 1423 through 1428 + + 1.7179 1.7176 1.7174 1.7171 1.7168 1.7165 + + Columns 1429 through 1434 + + 1.7162 1.7159 1.7157 1.7154 1.7151 1.7148 + + Columns 1435 through 1440 + + 1.7145 1.7142 1.7139 1.7136 1.7133 1.7130 + + Columns 1441 through 1446 + + 1.7127 1.7124 1.7121 1.7118 1.7115 1.7112 + + Columns 1447 through 1452 + + 1.7109 1.7106 1.7103 1.7100 1.7097 1.7094 + + Columns 1453 through 1458 + + 1.7091 1.7088 1.7085 1.7082 1.7079 1.7076 + + Columns 1459 through 1464 + + 1.7073 1.7069 1.7066 1.7063 1.7060 1.7057 + + Columns 1465 through 1470 + + 1.7054 1.7051 1.7047 1.7044 1.7041 1.7038 + + Columns 1471 through 1476 + + 1.7035 1.7031 1.7028 1.7025 1.7022 1.7018 + + Columns 1477 through 1482 + + 1.7015 1.7012 1.7009 1.7005 1.7002 1.6999 + + Columns 1483 through 1488 + + 1.6995 1.6992 1.6989 1.6985 1.6982 1.6979 + + Columns 1489 through 1494 + + 1.6975 1.6972 1.6969 1.6965 1.6962 1.6958 + + Columns 1495 through 1500 + + 1.6955 1.6952 1.6948 1.6945 1.6941 1.6938 + + Columns 1501 through 1506 + + 1.6934 1.6931 1.6927 1.6924 1.6920 1.6917 + + Columns 1507 through 1512 + + 1.6913 1.6910 1.6906 1.6903 1.6899 1.6896 + + Columns 1513 through 1518 + + 1.6892 1.6889 1.6885 1.6881 1.6878 1.6874 + + Columns 1519 through 1524 + + 1.6871 1.6867 1.6863 1.6860 1.6856 1.6852 + + Columns 1525 through 1530 + + 1.6849 1.6845 1.6841 1.6838 1.6834 1.6830 + + Columns 1531 through 1536 + + 1.6827 1.6823 1.6819 1.6815 1.6812 1.6808 + + Columns 1537 through 1542 + + 1.6804 1.6800 1.6797 1.6793 1.6789 1.6785 + + Columns 1543 through 1548 + + 1.6781 1.6778 1.6774 1.6770 1.6766 1.6762 + + Columns 1549 through 1554 + + 1.6758 1.6755 1.6751 1.6747 1.6743 1.6739 + + Columns 1555 through 1560 + + 1.6735 1.6731 1.6727 1.6723 1.6719 1.6716 + + Columns 1561 through 1566 + + 1.6712 1.6708 1.6704 1.6700 1.6696 1.6692 + + Columns 1567 through 1572 + + 1.6688 1.6684 1.6680 1.6676 1.6672 1.6668 + + Columns 1573 through 1578 + + 1.6664 1.6659 1.6655 1.6651 1.6647 1.6643 + + Columns 1579 through 1584 + + 1.6639 1.6635 1.6631 1.6627 1.6623 1.6618 + + Columns 1585 through 1590 + + 1.6614 1.6610 1.6606 1.6602 1.6598 1.6594 + + Columns 1591 through 1596 + + 1.6589 1.6585 1.6581 1.6577 1.6572 1.6568 + + Columns 1597 through 1602 + + 1.6564 1.6560 1.6556 1.6551 1.6547 1.6543 + + Columns 1603 through 1608 + + 1.6538 1.6534 1.6530 1.6526 1.6521 1.6517 + + Columns 1609 through 1614 + + 1.6513 1.6508 1.6504 1.6499 1.6495 1.6491 + + Columns 1615 through 1620 + + 1.6486 1.6482 1.6478 1.6473 1.6469 1.6464 + + Columns 1621 through 1626 + + 1.6460 1.6456 1.6451 1.6447 1.6442 1.6438 + + Columns 1627 through 1632 + + 1.6433 1.6429 1.6424 1.6420 1.6415 1.6411 + + Columns 1633 through 1638 + + 1.6406 1.6402 1.6397 1.6393 1.6388 1.6384 + + Columns 1639 through 1644 + + 1.6379 1.6374 1.6370 1.6365 1.6361 1.6356 + + Columns 1645 through 1650 + + 1.6351 1.6347 1.6342 1.6338 1.6333 1.6328 + + Columns 1651 through 1656 + + 1.6324 1.6319 1.6314 1.6310 1.6305 1.6300 + + Columns 1657 through 1662 + + 1.6295 1.6291 1.6286 1.6281 1.6277 1.6272 + + Columns 1663 through 1668 + + 1.6267 1.6262 1.6258 1.6253 1.6248 1.6243 + + Columns 1669 through 1674 + + 1.6238 1.6234 1.6229 1.6224 1.6219 1.6214 + + Columns 1675 through 1680 + + 1.6209 1.6205 1.6200 1.6195 1.6190 1.6185 + + Columns 1681 through 1686 + + 1.6180 1.6175 1.6170 1.6166 1.6161 1.6156 + + Columns 1687 through 1692 + + 1.6151 1.6146 1.6141 1.6136 1.6131 1.6126 + + Columns 1693 through 1698 + + 1.6121 1.6116 1.6111 1.6106 1.6101 1.6096 + + Columns 1699 through 1704 + + 1.6091 1.6086 1.6081 1.6076 1.6071 1.6066 + + Columns 1705 through 1710 + + 1.6061 1.6056 1.6051 1.6045 1.6040 1.6035 + + Columns 1711 through 1716 + + 1.6030 1.6025 1.6020 1.6015 1.6010 1.6005 + + Columns 1717 through 1722 + + 1.5999 1.5994 1.5989 1.5984 1.5979 1.5973 + + Columns 1723 through 1728 + + 1.5968 1.5963 1.5958 1.5953 1.5947 1.5942 + + Columns 1729 through 1734 + + 1.5937 1.5932 1.5926 1.5921 1.5916 1.5911 + + Columns 1735 through 1740 + + 1.5905 1.5900 1.5895 1.5889 1.5884 1.5879 + + Columns 1741 through 1746 + + 1.5873 1.5868 1.5863 1.5857 1.5852 1.5847 + + Columns 1747 through 1752 + + 1.5841 1.5836 1.5830 1.5825 1.5820 1.5814 + + Columns 1753 through 1758 + + 1.5809 1.5803 1.5798 1.5793 1.5787 1.5782 + + Columns 1759 through 1764 + + 1.5776 1.5771 1.5765 1.5760 1.5754 1.5749 + + Columns 1765 through 1770 + + 1.5743 1.5738 1.5732 1.5727 1.5721 1.5716 + + Columns 1771 through 1776 + + 1.5710 1.5704 1.5699 1.5693 1.5688 1.5682 + + Columns 1777 through 1782 + + 1.5677 1.5671 1.5665 1.5660 1.5654 1.5648 + + Columns 1783 through 1788 + + 1.5643 1.5637 1.5632 1.5626 1.5620 1.5615 + + Columns 1789 through 1794 + + 1.5609 1.5603 1.5597 1.5592 1.5586 1.5580 + + Columns 1795 through 1800 + + 1.5575 1.5569 1.5563 1.5557 1.5552 1.5546 + + Columns 1801 through 1806 + + 1.5540 1.5534 1.5529 1.5523 1.5517 1.5511 + + Columns 1807 through 1812 + + 1.5505 1.5500 1.5494 1.5488 1.5482 1.5476 + + Columns 1813 through 1818 + + 1.5470 1.5465 1.5459 1.5453 1.5447 1.5441 + + Columns 1819 through 1824 + + 1.5435 1.5429 1.5423 1.5417 1.5411 1.5406 + + Columns 1825 through 1830 + + 1.5400 1.5394 1.5388 1.5382 1.5376 1.5370 + + Columns 1831 through 1836 + + 1.5364 1.5358 1.5352 1.5346 1.5340 1.5334 + + Columns 1837 through 1842 + + 1.5328 1.5322 1.5316 1.5310 1.5304 1.5298 + + Columns 1843 through 1848 + + 1.5292 1.5285 1.5279 1.5273 1.5267 1.5261 + + Columns 1849 through 1854 + + 1.5255 1.5249 1.5243 1.5237 1.5231 1.5224 + + Columns 1855 through 1860 + + 1.5218 1.5212 1.5206 1.5200 1.5194 1.5187 + + Columns 1861 through 1866 + + 1.5181 1.5175 1.5169 1.5163 1.5156 1.5150 + + Columns 1867 through 1872 + + 1.5144 1.5138 1.5131 1.5125 1.5119 1.5113 + + Columns 1873 through 1878 + + 1.5106 1.5100 1.5094 1.5088 1.5081 1.5075 + + Columns 1879 through 1884 + + 1.5069 1.5062 1.5056 1.5050 1.5043 1.5037 + + Columns 1885 through 1890 + + 1.5031 1.5024 1.5018 1.5012 1.5005 1.4999 + + Columns 1891 through 1896 + + 1.4992 1.4986 1.4980 1.4973 1.4967 1.4960 + + Columns 1897 through 1902 + + 1.4954 1.4947 1.4941 1.4935 1.4928 1.4922 + + Columns 1903 through 1908 + + 1.4915 1.4909 1.4902 1.4896 1.4889 1.4883 + + Columns 1909 through 1914 + + 1.4876 1.4870 1.4863 1.4857 1.4850 1.4844 + + Columns 1915 through 1920 + + 1.4837 1.4830 1.4824 1.4817 1.4811 1.4804 + + Columns 1921 through 1926 + + 1.4797 1.4791 1.4784 1.4778 1.4771 1.4764 + + Columns 1927 through 1932 + + 1.4758 1.4751 1.4744 1.4738 1.4731 1.4725 + + Columns 1933 through 1938 + + 1.4718 1.4711 1.4704 1.4698 1.4691 1.4684 + + Columns 1939 through 1944 + + 1.4678 1.4671 1.4664 1.4657 1.4651 1.4644 + + Columns 1945 through 1950 + + 1.4637 1.4630 1.4624 1.4617 1.4610 1.4603 + + Columns 1951 through 1956 + + 1.4597 1.4590 1.4583 1.4576 1.4569 1.4562 + + Columns 1957 through 1962 + + 1.4556 1.4549 1.4542 1.4535 1.4528 1.4521 + + Columns 1963 through 1968 + + 1.4514 1.4508 1.4501 1.4494 1.4487 1.4480 + + Columns 1969 through 1974 + + 1.4473 1.4466 1.4459 1.4452 1.4445 1.4438 + + Columns 1975 through 1980 + + 1.4431 1.4425 1.4418 1.4411 1.4404 1.4397 + + Columns 1981 through 1986 + + 1.4390 1.4383 1.4376 1.4369 1.4362 1.4355 + + Columns 1987 through 1992 + + 1.4348 1.4341 1.4333 1.4326 1.4319 1.4312 + + Columns 1993 through 1998 + + 1.4305 1.4298 1.4291 1.4284 1.4277 1.4270 + + Columns 1999 through 2001 + + 1.4263 1.4256 1.4248 + +clear y +x=0:0.01:2 + +x = + + Columns 1 through 6 + + 0 0.0100 0.0200 0.0300 0.0400 0.0500 + + Columns 7 through 12 + + 0.0600 0.0700 0.0800 0.0900 0.1000 0.1100 + + Columns 13 through 18 + + 0.1200 0.1300 0.1400 0.1500 0.1600 0.1700 + + Columns 19 through 24 + + 0.1800 0.1900 0.2000 0.2100 0.2200 0.2300 + + Columns 25 through 30 + + 0.2400 0.2500 0.2600 0.2700 0.2800 0.2900 + + Columns 31 through 36 + + 0.3000 0.3100 0.3200 0.3300 0.3400 0.3500 + + Columns 37 through 42 + + 0.3600 0.3700 0.3800 0.3900 0.4000 0.4100 + + Columns 43 through 48 + + 0.4200 0.4300 0.4400 0.4500 0.4600 0.4700 + + Columns 49 through 54 + + 0.4800 0.4900 0.5000 0.5100 0.5200 0.5300 + + Columns 55 through 60 + + 0.5400 0.5500 0.5600 0.5700 0.5800 0.5900 + + Columns 61 through 66 + + 0.6000 0.6100 0.6200 0.6300 0.6400 0.6500 + + Columns 67 through 72 + + 0.6600 0.6700 0.6800 0.6900 0.7000 0.7100 + + Columns 73 through 78 + + 0.7200 0.7300 0.7400 0.7500 0.7600 0.7700 + + Columns 79 through 84 + + 0.7800 0.7900 0.8000 0.8100 0.8200 0.8300 + + Columns 85 through 90 + + 0.8400 0.8500 0.8600 0.8700 0.8800 0.8900 + + Columns 91 through 96 + + 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500 + + Columns 97 through 102 + + 0.9600 0.9700 0.9800 0.9900 1.0000 1.0100 + + Columns 103 through 108 + + 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 + + Columns 109 through 114 + + 1.0800 1.0900 1.1000 1.1100 1.1200 1.1300 + + Columns 115 through 120 + + 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900 + + Columns 121 through 126 + + 1.2000 1.2100 1.2200 1.2300 1.2400 1.2500 + + Columns 127 through 132 + + 1.2600 1.2700 1.2800 1.2900 1.3000 1.3100 + + Columns 133 through 138 + + 1.3200 1.3300 1.3400 1.3500 1.3600 1.3700 + + Columns 139 through 144 + + 1.3800 1.3900 1.4000 1.4100 1.4200 1.4300 + + Columns 145 through 150 + + 1.4400 1.4500 1.4600 1.4700 1.4800 1.4900 + + Columns 151 through 156 + + 1.5000 1.5100 1.5200 1.5300 1.5400 1.5500 + + Columns 157 through 162 + + 1.5600 1.5700 1.5800 1.5900 1.6000 1.6100 + + Columns 163 through 168 + + 1.6200 1.6300 1.6400 1.6500 1.6600 1.6700 + + Columns 169 through 174 + + 1.6800 1.6900 1.7000 1.7100 1.7200 1.7300 + + Columns 175 through 180 + + 1.7400 1.7500 1.7600 1.7700 1.7800 1.7900 + + Columns 181 through 186 + + 1.8000 1.8100 1.8200 1.8300 1.8400 1.8500 + + Columns 187 through 192 + + 1.8600 1.8700 1.8800 1.8900 1.9000 1.9100 + + Columns 193 through 198 + + 1.9200 1.9300 1.9400 1.9500 1.9600 1.9700 + + Columns 199 through 201 + + 1.9800 1.9900 2.0000 + +y=8-2*x-7*exp(-x/2); graph(x,y); +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.MLGraph')" style="font-weight:bold">matlab.internal.graph.MLGraph</a> +Source must be a dense double array of positive integer node +indices. + +Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.constructFromEdgeList', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m', 136)" style="font-weight:bold">matlab.internal.graph.constructFromEdgeList</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m',136,0)">line 136</a>) + G = underlyingCtor(s, t, totalNodes); + +Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('graph', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m', 298)" style="font-weight:bold">graph</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m',298,0)">line 298</a>) + matlab.internal.graph.constructFromEdgeList(... +} +y=8-2*x-7*exp(-x/2); +graph(x,y) +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.MLGraph')" style="font-weight:bold">matlab.internal.graph.MLGraph</a> +Source must be a dense double array of positive integer node +indices. + +Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.constructFromEdgeList', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m', 136)" style="font-weight:bold">matlab.internal.graph.constructFromEdgeList</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m',136,0)">line 136</a>) + G = underlyingCtor(s, t, totalNodes); + +Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('graph', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m', 298)" style="font-weight:bold">graph</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m',298,0)">line 298</a>) + matlab.internal.graph.constructFromEdgeList(... +} +plot(x,y); +hold off +clear +N=5; eulerN; plot(t,y); +hold on +N=10; eulerN; plot(t,y); +N=20; eulerN; plot(t,y); +N=40; eulerN; plot(t,y); +N=80; eulerN; plot(t,y); +x=0:0.01:2 + +x = + + Columns 1 through 6 + + 0 0.0100 0.0200 0.0300 0.0400 0.0500 + + Columns 7 through 12 + + 0.0600 0.0700 0.0800 0.0900 0.1000 0.1100 + + Columns 13 through 18 + + 0.1200 0.1300 0.1400 0.1500 0.1600 0.1700 + + Columns 19 through 24 + + 0.1800 0.1900 0.2000 0.2100 0.2200 0.2300 + + Columns 25 through 30 + + 0.2400 0.2500 0.2600 0.2700 0.2800 0.2900 + + Columns 31 through 36 + + 0.3000 0.3100 0.3200 0.3300 0.3400 0.3500 + + Columns 37 through 42 + + 0.3600 0.3700 0.3800 0.3900 0.4000 0.4100 + + Columns 43 through 48 + + 0.4200 0.4300 0.4400 0.4500 0.4600 0.4700 + + Columns 49 through 54 + + 0.4800 0.4900 0.5000 0.5100 0.5200 0.5300 + + Columns 55 through 60 + + 0.5400 0.5500 0.5600 0.5700 0.5800 0.5900 + + Columns 61 through 66 + + 0.6000 0.6100 0.6200 0.6300 0.6400 0.6500 + + Columns 67 through 72 + + 0.6600 0.6700 0.6800 0.6900 0.7000 0.7100 + + Columns 73 through 78 + + 0.7200 0.7300 0.7400 0.7500 0.7600 0.7700 + + Columns 79 through 84 + + 0.7800 0.7900 0.8000 0.8100 0.8200 0.8300 + + Columns 85 through 90 + + 0.8400 0.8500 0.8600 0.8700 0.8800 0.8900 + + Columns 91 through 96 + + 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500 + + Columns 97 through 102 + + 0.9600 0.9700 0.9800 0.9900 1.0000 1.0100 + + Columns 103 through 108 + + 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 + + Columns 109 through 114 + + 1.0800 1.0900 1.1000 1.1100 1.1200 1.1300 + + Columns 115 through 120 + + 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900 + + Columns 121 through 126 + + 1.2000 1.2100 1.2200 1.2300 1.2400 1.2500 + + Columns 127 through 132 + + 1.2600 1.2700 1.2800 1.2900 1.3000 1.3100 + + Columns 133 through 138 + + 1.3200 1.3300 1.3400 1.3500 1.3600 1.3700 + + Columns 139 through 144 + + 1.3800 1.3900 1.4000 1.4100 1.4200 1.4300 + + Columns 145 through 150 + + 1.4400 1.4500 1.4600 1.4700 1.4800 1.4900 + + Columns 151 through 156 + + 1.5000 1.5100 1.5200 1.5300 1.5400 1.5500 + + Columns 157 through 162 + + 1.5600 1.5700 1.5800 1.5900 1.6000 1.6100 + + Columns 163 through 168 + + 1.6200 1.6300 1.6400 1.6500 1.6600 1.6700 + + Columns 169 through 174 + + 1.6800 1.6900 1.7000 1.7100 1.7200 1.7300 + + Columns 175 through 180 + + 1.7400 1.7500 1.7600 1.7700 1.7800 1.7900 + + Columns 181 through 186 + + 1.8000 1.8100 1.8200 1.8300 1.8400 1.8500 + + Columns 187 through 192 + + 1.8600 1.8700 1.8800 1.8900 1.9000 1.9100 + + Columns 193 through 198 + + 1.9200 1.9300 1.9400 1.9500 1.9600 1.9700 + + Columns 199 through 201 + + 1.9800 1.9900 2.0000 + +z=8-2*x-7*exp(-x/2); plot(x,z); +z=8-2*x-7*exp(-x/2) + +z = + + Columns 1 through 6 + + 1.0000 1.0149 1.0297 1.0442 1.0586 1.0728 + + Columns 7 through 12 + + 1.0869 1.1008 1.1145 1.1280 1.1414 1.1546 + + Columns 13 through 18 + + 1.1676 1.1805 1.1932 1.2058 1.2182 1.2304 + + Columns 19 through 24 + + 1.2425 1.2544 1.2661 1.2777 1.2892 1.3004 + + Columns 25 through 30 + + 1.3116 1.3225 1.3333 1.3440 1.3545 1.3648 + + Columns 31 through 36 + + 1.3750 1.3851 1.3950 1.4047 1.4143 1.4238 + + Columns 37 through 42 + + 1.4331 1.4423 1.4513 1.4602 1.4689 1.4775 + + Columns 43 through 48 + + 1.4859 1.4942 1.5024 1.5104 1.5183 1.5260 + + Columns 49 through 54 + + 1.5336 1.5411 1.5484 1.5556 1.5626 1.5696 + + Columns 55 through 60 + + 1.5763 1.5830 1.5895 1.5959 1.6022 1.6083 + + Columns 61 through 66 + + 1.6143 1.6201 1.6259 1.6315 1.6370 1.6423 + + Columns 67 through 72 + + 1.6475 1.6526 1.6576 1.6625 1.6672 1.6718 + + Columns 73 through 78 + + 1.6763 1.6806 1.6849 1.6890 1.6930 1.6968 + + Columns 79 through 84 + + 1.7006 1.7042 1.7078 1.7112 1.7144 1.7176 + + Columns 85 through 90 + + 1.7207 1.7236 1.7264 1.7291 1.7317 1.7342 + + Columns 91 through 96 + + 1.7366 1.7389 1.7410 1.7431 1.7450 1.7468 + + Columns 97 through 102 + + 1.7485 1.7501 1.7516 1.7530 1.7543 1.7555 + + Columns 103 through 108 + + 1.7565 1.7575 1.7584 1.7591 1.7598 1.7603 + + Columns 109 through 114 + + 1.7608 1.7611 1.7614 1.7615 1.7615 1.7615 + + Columns 115 through 120 + + 1.7613 1.7611 1.7607 1.7603 1.7597 1.7591 + + Columns 121 through 126 + + 1.7583 1.7575 1.7565 1.7555 1.7544 1.7532 + + Columns 127 through 132 + + 1.7519 1.7505 1.7490 1.7474 1.7457 1.7439 + + Columns 133 through 138 + + 1.7420 1.7401 1.7380 1.7359 1.7337 1.7314 + + Columns 139 through 144 + + 1.7290 1.7265 1.7239 1.7212 1.7185 1.7157 + + Columns 145 through 150 + + 1.7127 1.7097 1.7066 1.7035 1.7002 1.6969 + + Columns 151 through 156 + + 1.6934 1.6899 1.6863 1.6827 1.6789 1.6751 + + Columns 157 through 162 + + 1.6712 1.6672 1.6631 1.6589 1.6547 1.6504 + + Columns 163 through 168 + + 1.6460 1.6415 1.6370 1.6324 1.6277 1.6229 + + Columns 169 through 174 + + 1.6180 1.6131 1.6081 1.6030 1.5979 1.5926 + + Columns 175 through 180 + + 1.5873 1.5820 1.5765 1.5710 1.5654 1.5597 + + Columns 181 through 186 + + 1.5540 1.5482 1.5423 1.5364 1.5304 1.5243 + + Columns 187 through 192 + + 1.5181 1.5119 1.5056 1.4992 1.4928 1.4863 + + Columns 193 through 198 + + 1.4797 1.4731 1.4664 1.4597 1.4528 1.4459 + + Columns 199 through 201 + + 1.4390 1.4319 1.4248 + +z=8-2*x-7*exp(-x/2); +plot(x,z) +N=5; eulerN; plot(t,y); +clear +N=5; eulerN; plot(t,y); +clear +N=5; eulerN; plot(t,y); +N=10; eulerN; plot(t,y); +clear +N=10; eulerN; plot(t,y); +N=5; eulerN; plot(t,y); +hold on +N=10; eulerN; plot(t,y); +clear +N=5; eulerN; plot(t,y); +hold on +clear; N=10; eulerN; plot(t,y); +clear; N=20; eulerN; plot(t,y); +clear; N=40; eulerN; plot(t,y); +clear; N=80; eulerN; plot(t,y); +z=8-2*x-7*exp(-x/2); plot(x,z); +{Undefined function or variable 'x'. +} +x=0:0.01:2 + +x = + + Columns 1 through 6 + + 0 0.0100 0.0200 0.0300 0.0400 0.0500 + + Columns 7 through 12 + + 0.0600 0.0700 0.0800 0.0900 0.1000 0.1100 + + Columns 13 through 18 + + 0.1200 0.1300 0.1400 0.1500 0.1600 0.1700 + + Columns 19 through 24 + + 0.1800 0.1900 0.2000 0.2100 0.2200 0.2300 + + Columns 25 through 30 + + 0.2400 0.2500 0.2600 0.2700 0.2800 0.2900 + + Columns 31 through 36 + + 0.3000 0.3100 0.3200 0.3300 0.3400 0.3500 + + Columns 37 through 42 + + 0.3600 0.3700 0.3800 0.3900 0.4000 0.4100 + + Columns 43 through 48 + + 0.4200 0.4300 0.4400 0.4500 0.4600 0.4700 + + Columns 49 through 54 + + 0.4800 0.4900 0.5000 0.5100 0.5200 0.5300 + + Columns 55 through 60 + + 0.5400 0.5500 0.5600 0.5700 0.5800 0.5900 + + Columns 61 through 66 + + 0.6000 0.6100 0.6200 0.6300 0.6400 0.6500 + + Columns 67 through 72 + + 0.6600 0.6700 0.6800 0.6900 0.7000 0.7100 + + Columns 73 through 78 + + 0.7200 0.7300 0.7400 0.7500 0.7600 0.7700 + + Columns 79 through 84 + + 0.7800 0.7900 0.8000 0.8100 0.8200 0.8300 + + Columns 85 through 90 + + 0.8400 0.8500 0.8600 0.8700 0.8800 0.8900 + + Columns 91 through 96 + + 0.9000 0.9100 0.9200 0.9300 0.9400 0.9500 + + Columns 97 through 102 + + 0.9600 0.9700 0.9800 0.9900 1.0000 1.0100 + + Columns 103 through 108 + + 1.0200 1.0300 1.0400 1.0500 1.0600 1.0700 + + Columns 109 through 114 + + 1.0800 1.0900 1.1000 1.1100 1.1200 1.1300 + + Columns 115 through 120 + + 1.1400 1.1500 1.1600 1.1700 1.1800 1.1900 + + Columns 121 through 126 + + 1.2000 1.2100 1.2200 1.2300 1.2400 1.2500 + + Columns 127 through 132 + + 1.2600 1.2700 1.2800 1.2900 1.3000 1.3100 + + Columns 133 through 138 + + 1.3200 1.3300 1.3400 1.3500 1.3600 1.3700 + + Columns 139 through 144 + + 1.3800 1.3900 1.4000 1.4100 1.4200 1.4300 + + Columns 145 through 150 + + 1.4400 1.4500 1.4600 1.4700 1.4800 1.4900 + + Columns 151 through 156 + + 1.5000 1.5100 1.5200 1.5300 1.5400 1.5500 + + Columns 157 through 162 + + 1.5600 1.5700 1.5800 1.5900 1.6000 1.6100 + + Columns 163 through 168 + + 1.6200 1.6300 1.6400 1.6500 1.6600 1.6700 + + Columns 169 through 174 + + 1.6800 1.6900 1.7000 1.7100 1.7200 1.7300 + + Columns 175 through 180 + + 1.7400 1.7500 1.7600 1.7700 1.7800 1.7900 + + Columns 181 through 186 + + 1.8000 1.8100 1.8200 1.8300 1.8400 1.8500 + + Columns 187 through 192 + + 1.8600 1.8700 1.8800 1.8900 1.9000 1.9100 + + Columns 193 through 198 + + 1.9200 1.9300 1.9400 1.9500 1.9600 1.9700 + + Columns 199 through 201 + + 1.9800 1.9900 2.0000 + +z=8-2*x-7*exp(-x/2); plot(x,z); +z=8-2*2-7*exp(-2/2);%exact solution at t=2for k=1:5N=5*2^(k-1);eulerN;%difference between Euler approximation and exact solution at t=2.error(k)=y(N+1)-z;end +clear +approx; +error + +error = + + 0.2814 0.1344 0.0658 0.0325 0.0162 + +error(2)/2 + +ans = + + 0.0672 + +clear +diary off] diff --git a/OLD/math2373/lab6/off] b/OLD/math2373/lab6/off] new file mode 100644 index 0000000..73dd29c --- /dev/null +++ b/OLD/math2373/lab6/off] @@ -0,0 +1 @@ +diary off diff --git a/OLD/math2373/lab6/partialEuler.png b/OLD/math2373/lab6/partialEuler.png Binary files differnew file mode 100644 index 0000000..fe054d6 --- /dev/null +++ b/OLD/math2373/lab6/partialEuler.png diff --git a/OLD/math2373/lab7/lab7.txt b/OLD/math2373/lab7/lab7.txt new file mode 100644 index 0000000..446d49a --- /dev/null +++ b/OLD/math2373/lab7/lab7.txt @@ -0,0 +1,135 @@ +p100OG; p2 + +p2 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +d=200; p100OG; p2 + +p2 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +d=500; p100OG; p2 + +p2 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +d=100; p100OG; p3 + +p3 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +d=100; p100OG; p4 + +p4 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +d=100; p100OG; p5 + +p5 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +p100OG; p5 + +p5 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +clear p5 +p100OG; p5 + +p5 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +p100OG; p5 + +p5 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +p100OG; p5 + +p5 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +p100OG; p5 + +p5 = + + 0.2264 + 0.1132 + 0.0377 + 0.3396 + 0.2830 + +diary off +I=eye(5);R=rref(AI); +{Undefined function or variable 'AI'. +} +I=eye(5);R=rref(A-I); +{Matrix dimensions must agree. +} +I=eye(6);R=rref(A-I); +v=-R(:,5); +v=-R(:,6); +v=-R(:,6); v(6)=1; +p=v/sum(v); +p + +p = + + 0.0851 + 0.1702 + 0.1064 + 0.1560 + 0.2695 + 0.2128 + +diary off diff --git a/OLD/math2373/lab7/p100.m b/OLD/math2373/lab7/p100.m new file mode 100644 index 0000000..3559149 --- /dev/null +++ b/OLD/math2373/lab7/p100.m @@ -0,0 +1,20 @@ +A=[ 0 1/2 0 0 0 0; + 0 0 1/3 0 1/2 0; + 1/4 1/2 0 0 0 0; + 1/4 0 0 0 1/2 0; + 1/4 0 1/3 0 0 1; + 1/4 0 1/3 1 0 0; ]; +%Matrix A from lab +p1=[1;0;0;0;0;0]; +p2=[0;1;0;0;0;0]; +p3=[0;0;1;0;0;0]; +p4=[0;0;0;1;0;0]; +p5=[0;0;0;0;1;0]; +p6=[0;0;0;0;0;1]; +for n=1:100 + p1=A*p1; + p2=A*p2; + p3=A*p3; + p4=A*p4; + p5=A*p5; +end diff --git a/OLD/math2373/lab7/p100OG.m b/OLD/math2373/lab7/p100OG.m new file mode 100644 index 0000000..87fcc0f --- /dev/null +++ b/OLD/math2373/lab7/p100OG.m @@ -0,0 +1,19 @@ +A=[0 1/3 1/2 1/2 0; + 1/2 0 0 0 0; + 0 1/3 0 0 0; + 0 1/3 1/2 0 1; + 1/2 0 0 1/2 0]; +%Matrix A from lab +p1=[1;0;0;0;0]; +p2=[0;1;0;0;0]; +p3=[0;0;1;0;0]; +p4=[0;0;0;1;0]; +p5=[0;0;0;0;1]; +for n=1:600 + p1=A*p1; + p2=A*p2; + p3=A*p3; + p4=A*p4; + p5=A*p5; +end + diff --git a/OLD/math2373/lab8.txt b/OLD/math2373/lab8.txt new file mode 100644 index 0000000..baa88c9 --- /dev/null +++ b/OLD/math2373/lab8.txt @@ -0,0 +1,148 @@ +diary off +diary off +A=[4 -3; -7 8] + +A = + + 4 -3 + -7 8 + +[P,D]=eig(A) + +P = + + -0.7071 0.3939 + -0.7071 -0.9191 + + +D = + + 1 0 + 0 11 + +c=inv(P)*[10;-5] + +c = + + -7.7782 + 11.4237 + +R=[c(1) 0 0; 0 c(2) 0], E=P*R + +R = + + -7.7782 0 0 + 0 11.4237 0 + + +E = + + 5.5000 4.5000 0 + 5.5000 -10.5000 0 + +R=[c(1) 0; 0 c(2)], E=P*R + +R = + + -7.7782 0 + 0 11.4237 + + +E = + + 5.5000 4.5000 + 5.5000 -10.5000 + +A=[12 -7 4;6 -1 1;-12 12 -7]; +[P,D]=eig(A) + +P = + + 0.2024 0.7071 0.2617 + -0.1215 0.7071 0.7328 + -0.9717 0.0000 0.6281 + + +D = + + -3.0000 0 0 + 0 5.0000 0 + 0 0 2.0000 + +c= inv(P)*[10;20;25] + +c = + + -21.6109 + 17.9723 + 6.3683 + +c= inv(P)*[-10;20;25] + +c = + + 27.7855 + -52.7384 + 82.7882 + +R=[c(1) 0 0; 0 c(2) 0; 0 0 c(3)], E=P*R + +R = + + 27.7855 0 0 + 0 -52.7384 0 + 0 0 82.7882 + + +E = + + 5.6250 -37.2917 21.6667 + -3.3750 -37.2917 60.6667 + -27.0000 -0.0000 52.0000 + +clear +A=[0 0 1 0; 0 0 0 1; 25 18 0 0; 12 40 0 0]; +[P,D]=eig(A) + +P = + + 0.0849 0.2169 0.0849 0.2169 + 0.1131 -0.1085 0.1131 -0.1085 + 0.5940 0.8677 -0.5940 -0.8677 + 0.7920 -0.4339 -0.7920 0.4339 + + +D = + + 7.0000 0 0 0 + 0 4.0000 0 0 + 0 0 -7.0000 0 + 0 0 0 -4.0000 + +c= inv(P)*[23;16;69;0] + +c = + + 104.2294 + 47.3549 + 72.5473 + -10.4768 + +R=[c(1) 0 0 0; 0 c(2) 0 0; 0 0 c(3) 0; 0 0 0 c(4)], E=P*R + +R = + + 104.2294 0 0 0 + 0 47.3549 0 0 + 0 0 72.5473 0 + 0 0 0 -10.4768 + + +E = + + 8.8442 10.2727 6.1558 -2.2727 + 11.7922 -5.1364 8.2078 1.1364 + 61.9091 41.0909 -43.0909 9.0909 + 82.5455 -20.5455 -57.4545 -4.5455 + +diary of diff --git a/OLD/math2373/lab9.txt b/OLD/math2373/lab9.txt new file mode 100644 index 0000000..5079803 --- /dev/null +++ b/OLD/math2373/lab9.txt @@ -0,0 +1,323 @@ +t=[0:2:100] + +t = + + Columns 1 through 11 + + 0 2 4 6 8 10 12 14 16 18 20 + + Columns 12 through 22 + + 22 24 26 28 30 32 34 36 38 40 42 + + Columns 23 through 33 + + 44 46 48 50 52 54 56 58 60 62 64 + + Columns 34 through 44 + + 66 68 70 72 74 76 78 80 82 84 86 + + Columns 45 through 51 + + 88 90 92 94 96 98 100 + +clear +t=[0:2:100]; +x=10+exp(-0.2618*t) + +x = + + Columns 1 through 6 + + 11.0000 10.5924 10.3509 10.2079 10.1231 10.0729 + + Columns 7 through 12 + + 10.0432 10.0256 10.0152 10.0090 10.0053 10.0032 + + Columns 13 through 18 + + 10.0019 10.0011 10.0007 10.0004 10.0002 10.0001 + + Columns 19 through 24 + + 10.0001 10.0000 10.0000 10.0000 10.0000 10.0000 + + Columns 25 through 30 + + 10.0000 10.0000 10.0000 10.0000 10.0000 10.0000 + + Columns 31 through 36 + + 10.0000 10.0000 10.0000 10.0000 10.0000 10.0000 + + Columns 37 through 42 + + 10.0000 10.0000 10.0000 10.0000 10.0000 10.0000 + + Columns 43 through 48 + + 10.0000 10.0000 10.0000 10.0000 10.0000 10.0000 + + Columns 49 through 51 + + 10.0000 10.0000 10.0000 + +clear +t=[0:2:100]; +x=10+exp(-0.2618*t); +Q=[-14.4721 10 -5.5279; 8.9443 -10 -8.9443; -5.5279 10 -14.4721]; +x=10+Q*exp(-0.2618*t); +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('mtimes')" style="font-weight:bold"> * </a> +Incorrect dimensions for matrix multiplication. Check that the +number of columns in the first matrix matches the number of rows in +the second matrix. To perform elementwise multiplication, use '.*'. +} +x=10+Q.*exp(-0.2618*t); +{Matrix dimensions must agree. +} +x=10+Q[1:].*exp(-0.2618*t); + x=10+Q[1:].*exp(-0.2618*t); + ↑ +{Error: Invalid expression. When calling a function or indexing a +variable, use parentheses. Otherwise, check for mismatched +delimiters. +} +x=10+Q[:1].*exp(-0.2618*t); + x=10+Q[:1].*exp(-0.2618*t); + ↑ +{Error: Invalid expression. When calling a function or indexing a +variable, use parentheses. Otherwise, check for mismatched +delimiters. +} +x=10+Q.*exp(-0.2618*t); +{Matrix dimensions must agree. +} +x=10+Q(:,1).*exp(-0.2618*t); +plot(t,x) +x=10+Q(1,:).*exp(-0.2618*t); +{Matrix dimensions must agree. +} +x=10+Q(:,1).*exp(-0.2618*t); +plot(t,x) +clear x +x=10+Q(:,1).*exp(-0.2618*t); +clear x +Q(:,1) + +ans = + + -14.4721 + 8.9443 + -5.5279 + +x=10+Q(:,1)*exp(-0.2618*t); +x=10+Q(1,:)*exp(-0.2618*t); +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('mtimes')" style="font-weight:bold"> * </a> +Incorrect dimensions for matrix multiplication. Check that the +number of columns in the first matrix matches the number of rows +in the second matrix. To perform elementwise multiplication, use +'.*'. +} +x=10+Q(:,1)*exp(-0.2618*t); +plot(t,x) +x=10+Q(1)*exp(-0.2618*t); +Q(1) + +ans = + + -14.4721 + +x=10+Q(1)*exp(-0.2618*t)+Q(2)*exp(-0.2618*t)+Q(3)*exp(-0.2618*t); +plot(t,x) +F=-.2618; x=10+Q(1)*exp(F*t)+Q(2)*exp(F*t)+Q(3)*exp(F*t); +plot(t,x); +hold on; +F=-.2618, y=3; y=10+Q(y+1)*exp(F*t)+Q(y+2)*exp(F*t)+Q(y+3)*exp(F*t); + +F = + + -0.2618 + +F=-.2618; y=3; y=10+Q(y+1)*exp(F*t)+Q(y+2)*exp(F*t)+Q(y+3)*exp(F*t); +plot(t,y) +F=-0.2; y=3; y=10+Q(y+1)*exp(F*t)+Q(y+2)*exp(F*t)+Q(y+3)*exp(F*t); +plot(t,y) +hold off +plot(t,x) +Q(4) + +ans = + + 10 + +Q(3 + Q(3 + ↑ +{Error: Invalid expression. When calling a function or indexing a +variable, use parentheses. Otherwise, check for mismatched +delimiters. +} +Q(3) + +ans = + + -5.5279 + +Q(0) +{Array indices must be positive integers or logical values. +} +Q(4) + +ans = + + 10 + +Q(5) + +ans = + + -10 + +Q(6) + +ans = + + 10 + +Q(7) + +ans = + + -5.5279 + +Q(8) + +ans = + + -8.9443 + +Q(9) + +ans = + + -14.4721 + +Q(10) +{Index exceeds array bounds. +} +Q(5) + +ans = + + -10 + +Q(6) + +ans = + + 10 + +F=-0.2; y=3; y=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +F=-0.2; y=0; x=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +{Index in position 1 is invalid. Array indices must be positive +integers or logical values. +} +F=-0.2; y=1; x=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +F=-0.2618; y=1; x=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +plot(t,x) +hold on; +F=-0.2; y=2; x=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +plot(t,y) +F=-0.2618; y=1; x=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +F=-0.2; y=2; y=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +plot(t,y) +clear plot +F=-0.2618; y=1; x=10+Q(y,1)*exp(F*t)+Q(y,2)*exp(F*t)+Q(y,3)*exp(F*t); +F=-0.2618; z=2; y=10+Q(z,1)*exp(F*t)+Q(z,2)*exp(F*t)+Q(z,3)*exp(F*t); +F=-0.2; z=2; y=10+Q(z,1)*exp(F*t)+Q(z,2)*exp(F*t)+Q(z,3)*exp(F*t); +plot(t,y) +plot(t,x) +hold onl +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('hold', '/soft/MATLAB/R2018a/toolbox/matlab/graphics/hold.m', 83)" style="font-weight:bold">hold</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphics/hold.m',83,0)">line 83</a>) +Unknown command option. +} +hold on +plot(t,y) +F=-0.2; z=2; y=10+Q(z,1)*exp(F*t)+Q(z,2)*exp(F*t)+Q(z,3)*exp(F*t); +Q(2,1) + +ans = + + 8.9443 + +F=-0.2; z=2; y=10+Q(z,1)*exp(F*t)+Q(z,2)*exp(F*t)+Q(z,3)*exp(F*t); +F=-0.2; a=2; z=10+Q(a,1)*exp(F*t)+Q(a,2)*exp(F*t)+Q(a,3)*exp(F*t); +F=-0.0382; a=3; z=10+Q(a,1)*exp(F*t)+Q(a,2)*exp(F*t)+Q(a,3)*exp(F*t); +plot (t,z) +clear plot; +plot (t,x) +plot (t,z) +plot (t,x) +hold on +plot (t,z) +F=-0.2; z=2; y=10+Q(z,1)*exp(F*t)+Q(z,2)*exp(F*t)+Q(z,3)*exp(F*t); +plot(t,y) +plot(t,x); plot(t,y) plot(t,z) + plot(t,x); plot(t,y) plot(t,z) + ↑ +{Error: Invalid expression. Check for missing multiplication +operator, missing or unbalanced delimiters, or other syntax +error. To construct matrices, use brackets instead of +parentheses. +} +plot(t,x); plot(t,y); plot(t,z) +clear plot +plot(t,x); hold on; plot(t,y); plot(t,z) +plot(t,x); plot(t,y); plot(t,z) +hold on +plot(t,x); plot(t,y); plot(t,z) +F=-0.2; z=2; y=10+Q(z,1)*exp(F*t)+Q(z,2)*exp(F*t)+Q(z,3)*exp(F*t); +plot(t,x); plot(t,y); plot(t,z) +F=-0.0382; a=3; z=10+Q(a,1)*exp(F*t)+Q(a,2)*exp(F*t)+Q(a,3)*exp(F*t); +plot(t,x); plot(t,y); plot(t,z) +hold on; +plot(t,x); plot(t,y); plot(t,z) +F=-0.0382; z=10+Q(a,1)*exp(-.2618*t)+Q(a,2)*exp(-.2*t)+Q(a,3)*exp(-.0382*t); +a=1; z=10+Q(a,1)*exp(-.2618*t)+Q(a,2)*exp(-.2*t)+Q(a,3)*exp(-.0382*t); +a=1; x=10+Q(a,1)*exp(-.2618*t)+Q(a,2)*exp(-.2*t)+Q(a,3)*exp(-.0382*t); +a=2; y=10+Q(a,1)*exp(-.2618*t)+Q(a,2)*exp(-.2*t)+Q(a,3)*exp(-.0382*t); +a=3; z=10+Q(a,1)*exp(-.2618*t)+Q(a,2)*exp(-.2*t)+Q(a,3)*exp(-.0382*t); +hold on; +plot(t,x); plot(t,y); plot(t,z) +plot(t,x,'b:s'); plot(t,y,'r:p'); plot(t,z,'g,t') +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('plot')" style="font-weight:bold">plot</a> +Error in color/linetype argument. +} +plot(t,x,'b:s'); plot(t,y,'r:p'); plot(t,z,'g,o') +{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('plot')" style="font-weight:bold">plot</a> +Error in color/linetype argument. +} +plot(t,x,'b:s'); plot(t,y,'r:p'); plot(t,z,'-o') +t.label("time") +{Dot indexing is not supported for variables of this type. +} +t.label('time') +{Dot indexing is not supported for variables of this type. +} +x.label('time') +{Dot indexing is not supported for variables of this type. +} +xlabel('time') +xlabel('Time') +ylabel('Amount of salt') +xlabel('Time (seconds)') +xlabel('Time (min)') +plot(t,x,'b:s'); plot(t,y,'r:p'); plot(t,z,'-o') +xlabel('Time (min)') +ylabel('Amount of salt') +hold on; +plot(t,x,'b:s'); plot(t,y,'r:p'); plot(t,z,'-o') +xlabel('Time (min)') +ylabel('Amount of salt') |
