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Improved readme formatting
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README.md
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README.md
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@ -1,41 +1,43 @@
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# SCE
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#### outpout file Name input
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#### double a11 mass ([heights], [radii], [densities])
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#### output file Name input
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#### double a11 mass ([heights], [radii], [densities])
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#### double a12 resistance ([heights], [radii], [densities], [resistances])
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#### [double] a21 Gauß (#of_variables, [row1;row2])
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exp.:
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exp.:
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6x+12y=30
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3x+ 3y= 9
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[a1,a2]=a21(2,[6,12,30;3,3,9])
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a1 = 1
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a2 = 2
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#### [double] a22 Cramer (#of_variables, [row1;row2])
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exp.:
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exp.:
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6x+12y=30
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3x+ 3y= 9
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[a1,a2]=a21(2,[6,12,30;3,3,9])
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a1 = 1
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a2 = 2
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#### double a31 fixed-point ("func_name", start, limit)
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exp.:
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exp.:
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function y=fixed(x)
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y=(x+10)^(1/4);
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end
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a31("fixed",2,100)
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ans=1.8556
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ans=1.8556
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#### double a32 bisection ("func_name", start, end, limit)
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exp.:
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exp.:
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function y=func(x)
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y=(x^4-x-10);
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end
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a32("func",0,3,100)
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ans=1.8556
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ans=1.8556
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#### double a33 newton ("func_name","func_derv_name", start, limit)
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exp.:
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exp.:
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function y=func(x)
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y=(x^4-x-10);
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end
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@ -43,49 +45,53 @@
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y=4*x^3-1;
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end
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a33("func","func_der",2,100)
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ans=1.8556
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#### [[double], a411 poly-intper (#of_variables, increments, [x] , [y])
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[double]]
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exp.:
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ans=1.8556
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#### [[double],[double]] a411 poly-intper (#of_variables, increments, [x] , [y])
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exp.:
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[a1,a2]=a411(5,0.1,[1,2,3,4,5],[34,22,45,56,66])
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a1 = 1.0000 1.1000 1.2000 1.3000 1.4000 1.5000 1.6000 1.7000 1.8000 1.9000 2.0000 2.1000 2.2000 2.3000 2.4000 2.5000 2.6000 2.7000 2.8000 2.9000 3.0000 3.1000 3.2000 3.3000 3.4000 3.5000 3.6000 3.7000 3.8000 3.9000 4.0000
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a2 = 45.000 38.312 32.856 28.544 25.288 23.000 21.592 20.976 21.064 21.768 23.000 24.672 26.696 28.984 31.448 34.000 36.552 39.016 41.304 43.328 45.000 46.232 46.936 47.024 46.408 45.000 42.712 39.456 35.144 29.688 23.000
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#### [[double], a412 lin-intper (#of_variables, increments, [x] , [y])
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[double]]
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function seems unstable
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a1 = 1.0000 1.1000 1.2000 1.3000 1.4000 1.5000 1.6000 1.7000 1.8000 1.9000 2.0000 2.1000 2.2000 2.3000 2.4000 2.5000 2.6000 2.7000 2.8000 2.9000 3.0000 3.1000 3.2000 3.3000 3.4000 3.5000 3.6000 3.7000 3.8000 3.9000 4.0000
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a2 = 45.000 38.312 32.856 28.544 25.288 23.000 21.592 20.976 21.064 21.768 23.000 24.672 26.696 28.984 31.448 34.000 36.552 39.016 41.304 43.328 45.000 46.232 46.936 47.024 46.408 45.000 42.712 39.456 35.144 29.688 23.000
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#### [[double],[double]] a412 lin-intper (#of_variables, increments, [x] , [y])
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function seems unstable
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#### double a542 optim. ("func_name", x, y, inc)
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exp.:
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exp.:
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function z=func(x,y)
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z=-(x*x + y*y);
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end
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a542("func",-2,-2, 0.1)
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a542("func",-2,-2, 0.1)
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ans=6.3838e-016
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#### [double] a611 diff (#num_of_points, [a], [b])
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#### [double] a612 central-diff (#num_of_points, [a], [b])
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exp.:
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a=[0, 5, 10, 15, 20 ]
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b=[1, 0.8811, 0.7366, 0.5430, 0.1698]
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a612(5,a,b)
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ans= -0.023780 -0.026340 -0.033810 -0.019360 -0.074640
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#### double a621 trap-integ. ("function", interval_start, interval_end, precision)
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exp.:
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a621("sin",0,pi/2,0.000001)
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ans = 1.0000
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#### double a622 quad-integ. ("function", interval_start, interval_end, precision)
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exp.:
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a622("sin",0,pi/2,0.000001)
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ans = 1.0000
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#### [[double], a752 sim (t0, t_end, x0)
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[double]]
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exp.: [a1,a2]=a752(0,10,100)
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#### [double] a612 central-diff (#num_of_points, [a], [b])
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exp.:
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a=[0, 5, 10, 15, 20 ]
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b=[1, 0.8811, 0.7366, 0.5430, 0.1698]
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a612(5,a,b)
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ans= -0.023780 -0.026340 -0.033810 -0.019360 -0.074640
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#### double a621 trap-integ. ("function", interval_start, interval_end, precision)
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exp.:
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a621("sin",0,pi/2,0.000001)
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ans = 1.0000
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#### double a622 quad-integ. ("function", interval_start, interval_end, precision)
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exp.:
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a622("sin",0,pi/2,0.000001)
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ans = 1.0000
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#### [[double],[double]] a752 sim (t0, t_end, x0)
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exp.:
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[a1,a2]=a752(0,10,100)
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a1 = 0 1 2 3 4 5 6 7 8 9 10
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a2 = 100.000 60.000 40.000 30.000 25.000 22.500 21.250 20.625 20.312 20.156 20.078
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a2 = 100.000 60.000 40.000 30.000 25.000 22.500 21.250 20.625 20.312 20.156 20.078
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