SCE

outpout file Name input

double a11 mass ([heights], [radii], [densities])

double a12 resistance ([heights], [radii], [densities], [resistances])

[double] a21 Gauß (#of_variables, [row1;row2])

exp.: 6x+12y=30 3x+ 3y= 9 [a1,a2]=a21(2,[6,12,30;3,3,9]) a1 = 1 a2 = 2

[double] a22 Cramer (#of_variables, [row1;row2])

exp.: 6x+12y=30 3x+ 3y= 9 [a1,a2]=a21(2,[6,12,30;3,3,9]) a1 = 1 a2 = 2

double a31 fixed-point ("func_name", start, limit)

exp.: function y=fixed(x) y=(x+10)^(1/4); end a31("fixed",2,100) ans=1.8556

double a32 bisection ("func_name", start, end, limit)

exp.: function y=func(x) y=(x^4-x-10); end a32("func",0,3,100) ans=1.8556

double a33 newton ("func_name","func_derv_name", start, limit)

exp.: function y=func(x) y=(x^4-x-10); end function y=func_der(x) y=4*x^3-1; end a33("func","func_der",2,100) ans=1.8556

[[double], a411 poly-intper (#of_variables, increments, [x] , [y])

[double]] exp.: [a1,a2]=a411(5,0.1,[1,2,3,4,5],[34,22,45,56,66]) 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 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

[[double], a412 lin-intper (#of_variables, increments, [x] , [y])

[double]] function seems unstable

double a542 optim. ("func_name", x, y, inc)

exp.: function z=func(x,y) z=-(xx + yy); end a542("func",-2,-2, 0.1)
ans=6.3838e-016

[double] a611 diff (#num_of_points, [a], [b])

[double] a612 central-diff (#num_of_points, [a], [b])

exp.: a=[0, 5, 10, 15, 20 ] b=[1, 0.8811, 0.7366, 0.5430, 0.1698] a612(5,a,b) ans= -0.023780 -0.026340 -0.033810 -0.019360 -0.074640

double a621 trap-integ. ("function", interval_start, interval_end, precision)

exp.: a621("sin",0,pi/2,0.000001) ans = 1.0000

double a622 quad-integ. ("function", interval_start, interval_end, precision)

exp.: a622("sin",0,pi/2,0.000001) ans = 1.0000

[[double], a752 sim (t0, t_end, x0)

[double]]
exp.: [a1,a2]=a752(0,10,100) a1 = 0 1 2 3 4 5 6 7 8 9 10 a2 = 100.000 60.000 40.000 30.000 25.000 22.500 21.250 20.625 20.312 20.156 20.078