One method partly named for him finds constants lambda such that the negative d dx of p of x times dy dx plus q of x times y equals lambda times
One theorem named for this figure states that any smooth conformal mapping on R3 is a composition of inversion, inversion, translation, orthogonal transformation, and similarities. He showed that every irrational algebraic number is within a distance of c divided by q to the n of some rational number p over q, a result which was improved to Roth's theorem. One method partly named for him finds constants lambda such that the negative d dx of p of x times dy dx plus q of x times y equals lambda times w of x times y has a solution by finding a series of orthogonal eigenfunctions; that method is commonly applied to the (*) wave equation in one dimension. One theorem named for him has the fundamental theorem of algebra as a corollary and state that every bounded entire function must be constant. For 10 points, name this mathematician who proved the existence of transcendental numbers and who names a method of solving a particular type of second-order differential equation with Sturm.
One theorem named for this figure states that any smooth conformal mapping on R3 is a composition of inversion, inversion, translation, orthogonal transformation, and similarities.
Joseph Liouville