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acos-expand-float-linsolve-matrix-rhs-sqrt-time

u:matrix([-4.10905616...

v:matrix([-1.72180528...

w:matrix([4.00658351,...

Calculate

acos-cos-exp

f(x):=exp(-x)*cos(3*x...

f(0.420451);

g(x):=(1/3)*acos(exp(...

Calculate

acos-float-matrix-pi-sqrt

s1:matrix([1,2,0]);

s2:matrix([2,0,2]);

a:float(acos((s1.s2)/...

Calculate

acos-draw-draw3d-float-load-sqrt
draw3d(head_length=0.15,color="red",vector([0,0,0],n1),implicit(-x+2*y-z=0,x,-2,2,y,-2,2,z,-2,2),color="blue",vector([0,0,0],n2),implicit(-x-3*y+2*z=0,x,-2,2,y,-2,2,z,-2,2));

load(draw);

n1:[-1,2,-1];

n2:[1,-3,2];

Calculate

acos-draw-draw3d-float-load-pi-sqrt
draw3d(head_length=0.15,color="red",vector([0,0,0],n1),implicit(-x+2*y-z=0,x,-2,2,y,-2,2,z,-2,2),color="blue",vector([0,0,0],n2),implicit(x-3*y+2*z=0,x,-2,2,y,-2,2,z,-2,2));

load(draw);

n1:[-1,2,-1];

n2:[1,-3,2];

Calculate

acos-eval-load

load(vect);

load(eigen);

p_prev:[-12.34,72.56];

Calculate

acos-beta-plot2d-sin-tan
plot2d(f(x),[x,d/10,d]);

/* Indiana Jones *//*...

/* köyden pituus */ l...

/* vakio */ A : d/l;

Calculate

acos-float

float(acos(0.99999997...

Calculate

acos-draw-draw3d-float-load-pi-sqrt
draw3d(implicit(2*x-3*y+4*z=2,x,-2,2,y,-2,2,z,-2,2),color=red,vector([0,0,0],n1),implicit(3*x+5*y-3*z=5,x,-2,2,y,-2,2,z,-2,2));

n1:[2,-3,4];

n2:[3,5,-3];

theta:acos((n1.n2/(sq...

Calculate

acos-float-pi

cos_flat(a,b,c):=acos...

float(cos_flat(152558...

float(cos_flat(17886....

Calculate

acos

Run Example
(%i1)c:1.541;
(%o1)                                1.541
(%i2) a:2;
(%o2)                                  2
(%i3) b:32;
(%o3)                                 32
(%i4) c/((acos(-1.)*b/180)*cos(acos(-1)/360));
                                   8.668125
(%o4)                            ------------
                                         %pi
                                 %pi cos(---)
                                         360
(%i5) 
Run Example
a:1;
(%o1)                                  1
(%i2) b:sqrt(2);
(%o2)                               sqrt(2)
(%i3) diff(asin(x),x) ;
                                      1
(%o3)                            ------------
                                           2
                                 sqrt(1 - x )
(%i4) diff(acos(x),x) ;
                                       1
(%o4)                           - ------------
                                            2
                                  sqrt(1 - x )
(%i5) diff(atan(x),x) ;
                                      1
(%o5)                               ------
                                     2
                                    x  + 1
(%i6) c:diff(asin(x)+acos(x),x);
(%o6)                                  0
(%i7) taylor(cos(x),x,0,5) ;
                                   2    4
                                  x    x
(%o7)/T/                      1 - -- + -- + . . .
                                  2    24
(%i8) taylor(log(1+x)/sin(x),x,0,5) ;
                            2    3       4        5
                       x   x    x    11 x    157 x
(%o8)/T/           1 - - + -- - -- + ----- - ------ + . . .
                       2   2    3     40      720
(%i9) taylor(atanh(x),x,0,4) ;
                                     3
                                    x
(%o9)/T/                        x + -- + . . .
                                    3
(%i10) limit((1+(1/n))^n,n,inf);
(%o10)                                %e
(%i11) 
Run Example
u : exp((x^2 - 1)/2);
                                      2
                                     x  - 1
                                     ------
                                       2
(%o1)                              %e
(%i2) a : -1;
(%o2)                                 - 1
(%i3) 		b : 1;
(%o3)                                  1
(%i4) N : 30;
(%o4)                                 30
(%i5) 	w : 1 / sqrt(1 - x * x);
                                      1
(%o5)                            ------------
                                           2
                                 sqrt(1 - x )
(%i6) quad_qaws(u * cos(30 * acos(x)) * 2 / %pi, x, a, b, -1/2, -1/2, 1, epsabs=1d-12, limit=1000);
(%o6)     [- 1.4556498367790383E-15, 2.6774316844590494E-13, 870, 0]
(%i7) 

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