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sqrt

%pi**sqrt(2);

Calculate

sqrt

sqrt(64*x)^(1/3);

Calculate

sqrt

A:-3;

B:2;

C:0;

Calculate

sqrt

u:[2,1,0];

v:[3,-1,2];

w:[4,0,3];

Calculate

sqrt-taylor

taylor( (1 + sqrt(1 -...

taylor( ( 1 / ( (1-x...

taylor( ( 1 / ( (1-x...

Calculate

sqrt

n: 17.5;

g1: 5;

g2: 0.5*(g1+n/g1);

Calculate

sqrt

l:[-sqrt(y),sqrt(y)];

i(y):=l[2];

i(2);

Calculate

sqrt

peu(x1,y1,z1,x2,y2,z2...

modulo(x,y,z):=sqrt(p...

mo1:modulo(x,3,6);

Calculate

sqrt-subst-taylor

taylor(m0*c^2/sqrt(1-...

subst(v/t,x,Wkin);

Calculate

sqrt

(5+sqrt(65))/10;

(sqrt(65)+5)/10;

Calculate

sqrt

Run Example
(%i1)Z0: (p1 - p2)/SE;
                                    p1 - p2
(%o1)                               -------
                                      SE
(%i2) Z1 : ratsubst(sqrt(p*(1-p)*((1/n1)+(1/n2))),SE,Z0);
                                     p2 - p1
(%o2)                     - -------------------------
                                  1    1
                            sqrt((-- + --) (1 - p) p)
                                  n2   n1
(%i3) Z2 : ratsubst((p1*n1+p2*n2)/(n1+n2),p,Z1);
                                      p2 - p1
(%o3) - --------------------------------------------------------------------
                 2    2                                        2    2
               n2  (p2  - p2) + n1 n2 ((2 p1 - 1) p2 - p1) + n1  (p1  - p1)
        sqrt(- ------------------------------------------------------------)
                                          2     2
                                     n1 n2  + n1  n2
(%i4) Z3 : ratsubst(x*p2,p1,Z2);
(%o4) 
                                    p2 x - p2
  -----------------------------------------------------------------------------
           2    2  2                 2            2                         2
         p2  (n1  x  + 2 n1 n2 x + n2 ) + p2 (- n1  x + n1 n2 (- x - 1) - n2 )
  sqrt(- ---------------------------------------------------------------------)
                                         2     2
                                    n1 n2  + n1  n2
(%i5) solve(Z3,x);
(%o5)                               [x = 1]
(%i6) 
Run Example
x:0.25;
(%o1)                                0.25
(%i2) Fs:0.7;
(%o2)                                 0.7
(%i3) Pv:0.41;
(%o3)                                0.41
(%i4) solve(  Fs = sqrt(1/(1+Pv*(1/((F0*(1-sqrt(x) ) + sqrt(x) )^2)  -1 ))),F0),numer;

rat: replaced 0.7 by 7/10 = 0.7

rat: replaced 0.41 by 41/100 = 0.41

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced 0.7 by 7/10 = 0.7

rat: replaced -0.1 by -1/10 = -0.1

rat: replaced 0.41 by 41/100 = 0.41

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced 0.41 by 41/100 = 0.41

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced 0.41 by 41/100 = 0.41

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced 0.5 by 1/2 = 0.5

rat: replaced -0.5 by -1/2 = -0.5

rat: replaced -2.04081632653061 by -100/49 = -2.04081632653061

rat: replaced -2.04081632653061 by -100/49 = -2.04081632653061

rat: replaced -2.040816326530612E-4 by -1/4900 = -2.040816326530612E-4

rat: replaced 15116.60332217526 by 876763/58 = 15116.60344827586

rat: replaced 15116.60332217526 by 876763/58 = 15116.60344827586
(%o4)         [F0 = - 2.063201817996614, F0 = 0.063201817996614]
(%i5) F00:0.063202;
(%o5)                              0.063202
(%i6) y:0;
(%o6)                                  0
(%i7) sqrt(    1/    (1+Pv*(    1/( (F00*(1-sqrt(y) )+sqrt(y))^2)   -1 ) )      ) ,numer;
(%o7)                          0.098422471651816
(%i8) y:x;
(%o8)                                0.25
(%i9) sqrt(    1/    (1+Pv*(    1/( (F00*(1-sqrt(y))+sqrt(y))^2)   -1 ) )      ) ,numer;
(%o9)                          0.70000008933756
(%i10) y:1;
(%o10)                                 1
(%i11) sqrt(    1/    (1+Pv*(    1/( (F00*(1-sqrt(y))+sqrt(y))^2)   -1 ) )      ) ,numer;
(%o11)                                1.0
(%i12) (sqrt(Pv/(1/Fs^2 -1+Pv))-sqrt(x))/(1-sqrt(x));
(%o12)                         0.063201809127532
(%i13) F: F00*(1-sqrt(x))+ sqrt(x);
(%o13)                             0.531601
(%i14) sqrt(    1/    (1+Pv*(    1/( F)^2   -1 ) )      ) ,numer;
(%o14)                         0.70000008933756
(%i15) 
Run Example
a:20;
(%o1)                                 20
(%i2) b:16;
(%o2)                                 16
(%i3) d:sqrt(a**2+b**2);
(%o3)                             4 sqrt(41)
(%i4)  alpha:arcsin(a/d)*180/%pi;
                                           5
                             180 arcsin(--------)
                                        sqrt(41)
(%o4)                        --------------------
                                     %pi
(%i5) beta:90-alpha;
                                              5
                                180 arcsin(--------)
                                           sqrt(41)
(%o5)                      90 - --------------------
                                        %pi
(%i6) 
[abs,acos,asin,atan2,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [abs,acos,asin,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [abs,plot2d,sqrt] [abs,sqrt] [acos,asin,atan,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [acos,asin,atan2,expand,float,linsolve,matrix,pi,rhs,sqrt] [acos,beta,float,pi,sqrt] [acos,cos,sqrt] [acos,draw,draw3d,float,load,pi,sqrt] [acos,draw,draw3d,load,pi,sqrt] [acos,float,linsolve,sqrt] [acos,float,load,sqrt] [acos,float,matrix,pi,sqrt] [acos,float,matrix,sqrt] [acos,float,pi,sqrt] [acos,float,sqrt] [acos,load,sqrt] [acos,log,plot2d,sqrt] [acos,sqrt] [addcol,addrow,diff,ev,genmatrix,invert,kill,length,lmax,lmin,load,matrix,plot2d,romberg,sqrt,submatrix] [asin,atan,expand,float,linsolve,pi,rhs,sqrt,time] [assume,cos,expand,integrate,sin,sqrt] [assume,cos,integrate,plot2d,sin,sqrt] [assume,integrate,sqrt] [bfloat,float,fpprec,pi,rectform,sqrt] [bfloat,float,fpprec,pi,sqrt] [bfloat,fpprec,sqrt] [cf,sqrt] [coeff,expand,factor,ratsimp,resultant,solve,sqrt,subst] [cos,define,diff,find_root,float,plot2d,sqrt] [cos,define,diff,find_root,float,sqrt] [cos,define,diff,float,plot2d,sqrt] [cos,define,diff,float,sqrt] [cos,diff,float,ic2,ode2,plot2d,rhs,sqrt] [cos,diff,plot2d,sin,sqrt] [cos,diff,plot2d,sqrt] [cos,diff,sin,solve,sqrt] [cos,diff,sin,sqrt] [cos,integrate,sin,sqrt] [cos,integrate,sqrt] [cos,lambda,plot2d,sin,sqrt] [cos,linsolve,sin,sqrt] [cos,pi,sin,sqrt] [cos,plot2d,sin,sqrt] [cos,plot2d,sqrt] [cos,plot3d,sin,sqrt] [cos,plot3d,sqrt] [cos,sin,solve,sqrt] [cos,sin,sqrt] [cos,solve,sqrt]

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