Wall and Shortland (1991) have shown that afferent fibers entering the cord in thoracic and lumbar roots of adult rats have branches that may penetrate up to 11 segments caudally from the root entry zone. We have investigated the extent of branching and conduction velocities of ascending and descending branches of lumbar and thoracic primary afferents in isolated spinal cords of adult hamsters ...

The subsumption theorem is an important theorem concerning resolution. Essentially, it says that a set of clauses logically implies a clause C, ii C is a tautology, or a clause D which subsumes C can be derived from with resolution. It was originally proved in 1967 by Lee in Lee67]. In Inductive Logic Programming, interest in this theorem is increasing since its independent rediscovery by Bain ...

This article discusses some introductory ideas associated with complex numbers, their algebra and geometry. This includes a look at their importance in solving polynomial equations, how complex numbers add and multiply, and how they can be represented. Finally we look at the nth roots of unity, that is, the solutions of the equations z = 1. 1 The Need For Complex Numbers The shortest path betwe...

The subsumption theorem is an important theorem concerning resolution. Essentially, it says that if a set of clauses logically implies a clause C, then either C is a tautology, or a clause D which subsumes C can be derived from with resolution. It was originally proved in 1967 by Lee. In Inductive Logic Programming, interest in this theorem is increasing since its independent rediscovery by Bai...

The subsumption theorem is an important theorem concerning resolution. Essentially , it says that if a set of clauses logically implies a clause C, then either C is a tautology, or a clause D which subsumes C can be derived from with resolution. It was originally proved in 1967 by Lee in Lee67]. In Inductive Logic Programming, interest in this theorem is increasing since its rediscovery by Bain...

Chains with long-range interactions are considered. The interactions are defined such that each nth particle interacts only with chain particles with the numbers n ± a(m), where m = 1, 2, 3, . . . and a(m) is an integer-valued function. Exponential type functions a(m) = b, where b = 2, 3, . . . , are discussed. The correspondent pseudodifferential equations of chain oscillations are obtained. D...

The existence of unbounded nonnegative solutions of a boundary value problem for nth-order differential equations defined on an infinite interval is obtained by means of the M ¨ onch fixed-point theorem. An example is then presented to demonstrate the application of our results.

Background: Trigonella foenum-graecum L. commonly known as fenugreek is a rich source of important medicinal metabolite, i.e. trigonelline. Objective: In this study, hairy roots culture as a novel method for trigonelline production was evaluated. Methods: For optimizing the hairy roots culture of Trigonella foenum-graecum, three strains of Agrobacterium rhyzogenes (ATCC15834, MSU440 and K...