Round Or Periodic Integrals

Waves, circles, ellipses, periodic integrals, and solid bodies derived from rotation are considered for the purposes of this discussion to be 'round' functions. These functions are often used to describe wave functions as arise from theoretical considerations of fluid dynamics, as well as descriptions of single atoms or their component subatomic particles. Unfortunately, many of today's theoretical models (such as Quark theory) contain mathematical constructs which are not correct in the opinion of this writer. Discontinuities are either ignored outright or the integrals are cleverly written so as to avoid any integration through the discontinuous section. Furthermore, concepts such as 'dividing by zero' are solved with different methods within the same text (once again, in Quark theory) such that the 'answer' is sometimes given as infinity and sometimes given as zero. Neither of these 'results' is testable, verifiable, or checkable! Yet, the Quark-seeking scientists are given billions of dollars in research money by our government, and this is money being wasted because the mathematics used within the Quark theory are inconsistent. The methods presented on this web site will give the reader a consistent, checkable, and testable method for evaluating questionable integrals and mathematical theories. If used, these methods will enable the reader to save considerable time which would otherwise be spent while investigating many of these blind alleys of mathematics.