
Test of subspaces.
 Polynomials with given coefficients or conditions on coefficients
 Polynomials with given conditions on derivatives or integrals
 Polynomials with P(0)=2P(1), etc.
 Polynomials with P(0)P(1)=0.
 Polynomials with at most/least n zero terms.
 Polynomials which are aP1+bP2 or P1+aP2 (the latter may be yes).
 Power series with condition on limits.
 Power series with almost all terms zero/non-zero.
 Sequences with condition on limits.
 Sequences with almost all terms zero/non-zero.
 Sequences with recurrence conditions.
 Functions with f(0)=af(1)+b. f(0)f(1)=a. a1f(x1)+...+akf(xk)=0.
 Sinusoidal functions with same/different frequencies.
 linear maps with conditions on image/kernel or image of given vectors.
 	f(v1)f(v2)=0. f(v1)=3f(v2), f(v1)=v2.
 Utiliser complexes, imaginaire pure comme condition.
 Nombres complexes z tels que zw=t, im(z)=a, Re(z)=b, Im=2Re.
 	z(-2+3i) is pure imaginary.
	z/zbar is real (pure imaginary).
	Im<=Re. |Im|=|Re|. Re>=0.
 Complex functions such that f(z)=real, imag pur, Re=Im, Re+Im=0,
 	real>0, real<0, |f(z)|=1, etc.
	z=0,1,i,-1,-1,i+1,-1-i, etc.
 Solutions of differential equations. With initial conditions.

