Enhancement of fish production in Borno State with extension services

Borno State possesses great potentials for fish production both from inland fisheries and aquaculture. The socio-economic and environmental production factors are suitable for fish production. If the potential of the State were well harnessed, it would be playing significant roles in achieving self-sufficiency in fish production in Nigeria. But the situation at the moment is that its fisheries potentials are not being optimally utilized. While the inland waters of Lake Chad are currently being recklessly exploited, aquaculture development is given little or no attention. It is evident that there is a missing link between research results and the potential end users. Because information in fish production variables is a pre-requisite for fisheries development, the gap that exists between two poles must be bridged, fisheries Extension provides this important link between research result and the end users of research findings. The paper examines the importance of extension services as the key to unlock fish production information that are usually consigned to the pages of academic journals and research publications

Special Frobenius Traces in Galois Representations

This thesis studies Frobenius traces in Galois representations from two different directions. In the first problem we explore how often they vanish in Artin-type representations. We give an upper bound for the density of the set of vanishing Frobenius traces in terms of the multiplicities of the irreducible components of the adjoint representation. Towards that, we construct an infinite family of representations of finite groups with an irreducible adjoint action.

In the second problem we partially extend for Hilbert modular forms a result of Coleman and Edixhoven that the Hecke eigenvalues a_p of classical elliptical modular newforms f of weight 2 are never extremal, i.e., a_p is strictly less than 2[square root]p. The generalization currently applies only to prime ideals p of degree one, though we expect it to hold for p of any odd degree. However, an even degree prime can be extremal for f. We prove our result in each of the following instances: when one can move to a Shimura curve defined by a quaternion algebra, when f is a CM form, when the crystalline Frobenius is semi-simple, and when the strong Tate conjecture holds for a product of two Hilbert modular surfaces (or quaternionic Shimura surfaces) over a finite field.

A study of the proposed Santa Fe extension from the present Redondo Branch at El Segundo to Los Angeles Harbor

The Los Angeles Harbor at San Pedro with its natural advantages, and the big development of these now underway, will very soon be the key to the traffic routes of Southern California. The Atchison, Topeka, and Santa Fe railway company realizing this and, not wishing to be caught asleep, has planned to build a line from El Segundo to the harbor. The developments of the harbor are not the only developments taking place in these localities and the proposed new line is intended to include these also.

Extension theorems for functions of vanishing mean oscillation

A locally integrable function is said to be of vanishing mean oscillation (VMO) if its mean oscillation over cubes in R^d converges to zero with the volume of the cubes. We establish necessary and sufficient conditions for a locally integrable function defined on a bounded measurable set of positive measure to be the restriction to that set of a VMO function.

We consider the similar extension problem pertaining to BMO(ρ) functions; that is, those VMO functions whose mean oscillation over any cube is O(ρ(l(Q))) where l(Q) is the length of Q and ρ is a positive, non-decreasing function with ρ(0⁺) = 0.

We apply these results to obtain sufficient conditions for a Blaschke sequence to be the zeros of an analytic BMO(ρ) function on the unit disc.

PIM-SM extension for Source-Specific Multicast through non multicast networks

Barneko ikerkuntza-txostena

The marine extension - the great fire

From a special issue: A Brief History of the Charles Darwin Foundation for the Galapagos Islands 1959-1988