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phi-radcan-sqrt

phi: (1+sqrt(5))/2;

radcan(5*sqrt(phi+3/4...

Calculate

phi-solve-tan

eq1:V=h*pi/3*(R^2+R*r...

eq3:h=(R-r)/tan(phi);

lsg:solve ([eq1, eq2]...

Calculate

phi-pi-plot2d
plot2d(t*(%pi-t),[t,0,%pi]);

assume[r0>0,h>0];

phi:(r0^2-r^2)*t*(t-%...

plot2d(t*(%pi-t),[t,0...

Calculate

phi-plot2d
plot2d(x^2+y^2-100,[x,-20,20],[y,-20,20]);

phi: x^2+y^2-100;

plot2d(x^2+y^2-100,[x...

Calculate

phi-plot2d
plot2d((x^2),[x,-2,2]);

plot2d((x^2),[x,-2,2]);

phi;

Calculate

phi

e1:1.6;

e2:2.5;

e3:1.6;

Calculate

phi-sinh-taylor

cbar: (1/(xi))*sinh(x...

taylor(cbar,phi,0,4);

Calculate

phi-sqrt

r(x,y,z):=sqrt(x^2+y^...

phi:q/r(x-l,y,z)-q/r(...

package(vect);

Calculate

phi-sin

phi: %pi / 6;

l1: 0.3;

l2: 0.8;

Calculate

phi

Run Example
(%i1)qe:1.6E-19;
(%o1)                       1.5999999999999999E-19
(%i2) E:1E+4;
(%o2)                               10000.0
(%i3) me:1.67E-27;
(%o3)                       1.6700000000000002E-27
(%i4) d:0.04;
(%o4)                                0.04
(%i5) D:0.10;
(%o5)                                 0.1
(%i6) vox:2.8E+7;
(%o6)                               2.8E+7
(%i7) a:qe*E/me;
(%o7)                       9.5808383233532922E+11
(%i8) t:d/vox;
(%o8)                        1.4285714285714286E-9
(%i9) y:0.5*a*(d/vox)^2;
(%o9)                        9.7763656360747883E-7
(%i10) vx:vox;
(%o10)                              2.8E+7
(%i11) vy:a*d/vox;
(%o11)                         1368.69118905047
(%i12) phi:atan(vy/vx)*180/3.141592654;
(%o12)                        0.0028007224470227
(%i13) h:D*vy/vx;
(%o13)                       4.8881828180373942E-6
(%i14) H:y+h;
(%o14)                       5.865819381644873E-6
(%i15) 
Run Example
laplace(R*(1-exp(-t/T)),t,s);
                                    1     1
(%o1)                            R (- - -----)
                                    s   1
                                        - + s
                                        T
(%i2) ilt(s * R * (1/s-1/(1/T+s)),s,t);
                                       - t/T
                                   R %e
(%o2)                              ---------
                                       T
(%i3) laplace(sin(w*t)*sin(w*t+phi),t,s);
                                     2
                         2 cos(phi) w  + sin(phi) s w
(%o3)                    ----------------------------
                                      2    3
                                 4 s w  + s
(%i4) 
Run Example
w: sqrt(x*x+y*y);
                                       2    2
(%o1)                            sqrt(y  + x )
(%i2) dx: diff(theta*sin(phi));
(%o2)            sin(phi) del(theta) + cos(phi) theta del(phi)
(%i3) 
[abs,cos,integrate,log,phi,plot2d,sin] [acos,matrix,phi,pi,plot2d,sin,sqrt,trigsimp] [acos,matrix,phi,pi,plot2d,sin,sqrt] [acos,matrix,phi,pi,sin,sqrt] [append,float,fpprintprec,makelist,phi,plot2d,product,realroots,sum] [asin,atan,cos,diff,phi,plot2d,sqrt] [assume,cos,integrate,phi,sin,sqrt] [assume,diff,integrate,phi,sin,solve] [at,cos,phi,plot3d,sin,sqrt] [atan,cos,diff,kill,matrix,phi,plot2d,plot3d,ratsimp,rhs,sin,solve,sqrt,subst] [atan,cos,kill,matrix,phi,plot2d,plot3d,ratsimp,rhs,sin,solve,sqrt,subst] [atan,phi] [bfloat,cos,diff,globalsolve,linsolve,phi,sin,true] [bfloat,diff,globalsolve,linsolve,phi,sqrt,true] [changevar,cos,erf,integrate,phi,pi,sin] [constant,cos,declare,diff,phi,plot2d,sqrt] [cos,diff,integrate,phi,sin] [cos,diff,phi,sin] [cos,draw,draw2d,load,phi,pi,sin] [cos,draw,load,phi,sin] [cos,float,linsolve,load,phi,reset,sin,sqrt] [cos,float,linsolve,load,phi,sin,sqrt] [cos,matrix,phi,sin] [cos,numer,phi,sin,sqrt] [cos,phi,plot2d,sin] [cos,phi,plot3d,sin] [cos,phi,sin,sqrt] [cos,phi,sin] [cos,phi,sum,trigexpand] [diff,exp,phi] [diff,float,globalsolve,linsolve,phi,true] [diff,globalsolve,integrate,linsolve,phi,true] [diff,globalsolve,kill,linsolve,phi,true] [diff,globalsolve,linsolve,phi,sqrt,true] [diff,globalsolve,linsolve,phi,true] [diff,globalsolve,phi,true] [diff,phi,solve] [diff,phi] [float,lambda,phi,radcan,sqrt] [globalsolve,linsolve,phi,true] [invert,matrix,phi,transpose] [linsolve,phi] [matrix,phi] [numer,phi,pi,rhs,sin,solve] [phi,sin,solve] [phi,sin] [phi,sinh,taylor] [phi,solve,tan] [phi,sqrt] [phi]

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