The endosymbiotic theory concerns the origins of mitochondria and chloroplasts, which are organelles of eukaryotic cells. According to this theory, these originated as prokaryotic endosymbionts, which came to live inside eukaryotic cells.he theory postulates that the mitochondria evolved from aerobic bacteria (probably proteobacteria, related to the rickettsias), and that the chloroplast evolved from endosymbiotic cyanobacteria (autotrophic prokaryotes).
The rational root theorem is a special case (for a single linear factor) of Gauss's lemma on the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient a n = 1.
Catalan's conjecture. Catalan's conjecture (or MihÄilescu's theorem) is a theorem in number theory that was conjectured by the mathematician EugÃ¨ne Charles Catalan in 1844 and proven in 2002 by Preda MihÄilescu. 23 and 32 are two powers of natural numbers, whose values 8 and 9 respectively are consecutive.