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cosh-sin-sinh-taylor

taylor(sin(1-cosh(x))...

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cosh-sin

sin(x)*sin(x) - (1 - ...

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cosh-sin-sinh-taylor

taylor(a*cosh(sin(x))...

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cosh-plot2d
plot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,01],[y,0,01]);

k:1.8;

f:0.299;

Hy:0.7;

Calculate

cosh-integrate-ratsimp

f: %pi*cosh(x)^2;

integrate(f,x);

ratsimp(%);

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cosh-integrate-sin-sinh

phikn(y,k)=cosh(k*y)-...

diffphikn(y,k) =''dif...

f(k)=''integrate(phik...

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cosh

integrale(1/cosh(x),x);

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cosh-plot2d
plot2d(1-1/cosh(x),[x,0,5,.1]);

plot2d(1-1/cosh(x),[x...

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cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,0,5], [v,0,2*%pi], [grid,50,20],[palette,get_plot_option(palette,3)]);

x(u,v):=1/cosh(u)*cos...

y(u,v):=1/cosh(u)*sin...

z(u,v):=1/cosh(u)*sin...

Calculate

cosh-depends-jacobian-sqrt-tanh

jacobian ([(s1-s2)*ta...

depends ([F, G], [w,...

jacobian ([F, G], [w...

Calculate

cosh

Run Example
(%i1)k:1.8;
(%o1)                                 1.8
(%i2)  f:0.299;
(%o2)                                0.299
(%i3) Hy:0.7;
(%o3)                                 0.7
(%i4)  Hk:0.2;
(%o4)                                 0.2
(%i5) Zk:Hy-Hk;
(%o5)                                 0.5
(%i6) plot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,001],[y,0,001]);
plotplot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,0,001],[y,0,001]);
Run Example
x(u,v):=cos(u)*sinh(v);
(%o1)                      x(u, v) := cos(u) sinh(v)
(%i2) y(u,v):=sin(u)*sinh(v);
(%o2)                      y(u, v) := sin(u) sinh(v)
(%i3) z(u,v):=cosh(v);
(%o3)                         z(u, v) := cosh(v)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-50,50], [v,-50,50], [grid,50,20]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-50,50], [v,-50,50], [grid,50,20]);
Run Example
x(u,v):=sinh(u)*sinh(v);
(%o1)                     x(u, v) := sinh(u) sinh(v)
(%i2) y(u,v):=sinh(u)*cosh(v);
(%o2)                     y(u, v) := sinh(u) cosh(v)
(%i3) z(u,v):=sinh(u);
(%o3)                         z(u, v) := sinh(u)
(%i4) plot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);
plotplot3d([x(u,v),y(u,v),z(u,v)], [u,-2,2], [v,-2,2], [grid,50,20]);

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Help for Cosh