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Constant

-- Special operator: constant declare (<a>, constant) declares <a> to be a constant. See declare.

There are also some inexact matches for constant. Try ?? constant to see them.

declare(A, constant);
declare(C, constant);
dgtr(theta):=(C)/((A^2)*(cos(theta)^2) + (sin(theta)^2))^2;
pdfh(theta):=dgtr(theta)*cos(theta);
dpdfphi(theta) := pdfh(theta) * sin(theta);
pdfphi(phi):=integrate(dpdfphi(theta), theta, 0, %pi/2);
pdfphi(phi);
pdftheta(theta) = pdfphi(phi)/pdfh(theta);
cdfphi(x):=integrate(pdfphi(phi),phi,0,x);
cdftheta(x):=integrate(pdftheta(theta),theta,0,x);
f(x):=integrate(x * y, y, 0, 1 - x);
f(x);
expand(f(x));
g(x):=integrate(f(x), x);
g(x);
plot2d([g(x)], [x, 0, 2], [y, -0.5, 2.5]);
quad_qagi(f(x), x, 0, inf);
A:1 / quad_qagi(f(x), x, 0, inf);

(%o1)                                true
(%i2) 

Related Examples

constant-declare-exp-integrate

declare(d, constant);

declare(n, constant);

y(x)=exp(-(x/d)^n);

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constant-cos-declare-globalsolve-multthru-realonly-sin-true

globalsolve: true;

realonly: true;

/* Standard (x,y)->...

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constant-cos-declare-diff-sqrt

RPM=200;

Theta(t):=pi/30*RPM*t;

Phi(t):=23/15*T(t);

Calculate

constant-cos-declare-expand-inf-integrate-plot2d-quad_qagi-sin
plot2d([g(x)], [x, 0, 2], [y, -0.5, 2.5]);

declare(A, constant);

declare(C, constant);

dgtr(theta):=(C)/((A^...

Calculate

constant-cos-declare-diff-phi-plot2d-sqrt
plot2d (y0(t), [t, 0, t[f]]);

RPM:200;

t[f]:60/RPM;

theta(t):=%pi/30*RPM*t;

Calculate

constant-cos-declare-globalsolve-realonly-sin-true

globalsolve: true;

realonly: true;

/* Standard (x,y)->...

Calculate

constant-cos-declare-factor-globalsolve-realonly-rhs-sin-true

globalsolve: true;

realonly: true;

/* Standard (x,y)->...

Calculate

constant-cos-declare-diff-plot2d-sqrt
plot2d (x0(t), [t, 0, 60/RPM]);

RPM:200;

Theta(t):=%pi/30*RPM*t;

Phi(t):=23/15*Theta(t);

Calculate

constant-cos-declare-derivabbrev-diff-mainvar-sin-solve-subst-true

derivabbrev:true ;

declare (t, mainvar);

declare (theta, mainv...

Calculate

constant-cos-declare-sqrt

declare(C, constant);

declare(P, constant);

declare(l, constant);

Calculate