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cosh-exp-linsolve-tanh

eq1:0.105=0.172*exp(-...

linsolve([eq1],[x]);

Calculate

cosh-exp-solve-tanh

eq1:21/200=0.172*exp(...

solve([eq1],[x]);

Calculate

cosh-plot3d-sin-sinh
plot3d([x(u,v),y(u,v),z(u,v)], [u,0,1000], [v,2*%pi,4*%pi], [grid,20,20],[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-solve-tanh

solve(21/200=-893/492...

Calculate

cosh-diff-exp-limit-sinh

D(g) := 2 / (cosh(g))^2;

PE(g) := (L/8)*sinh(2...

A(g) := 1-exp(-2*PE(g));

Calculate

cosh-diff-expand-sinh

y(x, a):= a * cosh((x...

diff(y(x, a), a);

expand( (a * cosh(x/a...

Calculate

cosh-integrate-sinh

integrate((cosh(x)-si...

Calculate

cosh-tanh

1/(cosh(x+c))^2 + tan...

Calculate

cosh-invert-matrix-sinh

m1: matrix([cosh(t1),...

m2: matrix([cosh(t2),...

ABCD: invert(m1).m2.i...

Calculate

cosh-plot2d
plot2d (Hy-Zk*(cosh(x*k)^2)/(cosh(k*f)^2),[x,-2,2],[y,-3,1]);

k:1.8;

f:0.66;

Hy:1.2;

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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