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 prove
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