Capitalismo Financiero y Comunicación (F. Sierra y F. Maniglio)

local FMm,n-diffeomorphism f: Y → Y.

Let r, s, q,m, n ∈ N be such that s ≥ r ≤ q. Let Y be a fibered manifold with m-dimensional basis and n-dimensional fibers. All natural affinors on (J(Y,R)0) are classified. It is deduced that there is no natural generalized connection on (J(Y,R)0). Similar problems with (J(Y,R)0) instead of (J(Y,R)0) are solved.

CONNECTED AND DISCONNECTED PLANE SETS AND THE FUNCTIONAL EQUATION f(x)+f(y)=f(x+y)

Cauchy discovered before 1821 that a function satisfying the equation ƒ(*)+ƒ (y) =f(* + y) is either continuous or totally discontinuous. After Hamel showed the existence of a discontinuous function satisfying the equation, many mathematicians have concerned themselves with problems arising from the study of such functions. However the following question seems to have gone unanswered : Since th...

A Fixed Point Approach to the Stability of the Functional Equation f(x+y)=F[f(x),f(y)]

In 1940, Ulam 1 gave a wide ranging talk before the mathematics club of the University of Wisconsin in which he discussed a number of important unsolved problems. Among those was the question concerning the stability of group homomorphisms: “Let G1 be a group and let G2 be a metric group with the metric d ·, · . Given ε > 0, does there exist a δ > 0 such that if a function h : G1 → G2 satisfies...

F . Y . Hom and Andrew

, 94 (2014); 345 Science Erik F. Y. Hom and Andrew W. Murray mutualism Niche engineering demonstrates a latent capacity for fungal-algal This copy is for your personal, non-commercial use only. clicking here. colleagues, clients, or customers by , you can order high-quality copies for your If you wish to distribute this article to others here. following the guidelines can be obtained by Permis...

Mixed Collocation Methods for Y" = F(x,y)