Quiescent Schwann cells in the distal segment of the permanently transected nerve produced basal levels of the major myelin glycoprotein, P0, in the absence of myelin assembly. Low levels of P0 could be detected at 35 days after transection by autoradiographic analysis of radioiodinated lectin binding after protein separation by high-resolution sodium dodecyl sulfate pore gradient electrophores...

This paper shows the equivalence between Murota’s L-convex functions and Favati and Tardella’s submodular integrally convex functions: For a submodular integrally convex function g(p1, . . . , pn), the function g̃ defined by g̃(p0, p1, . . . , pn) = g(p1 − p0, . . . , pn − p0) is an L-convex function, and vice versa. This fact implies, in combination with known results for L-convex functions, tha...

Assume that the problem P0 is not solvable in polynomial time. Let T be a first-order theory containing a sufficiently rich part of true arithmetic. We characterize T∪{ConT } as the minimal extension of T proving for some algorithm that it decides P0 as fast as any algorithm B with the property that T proves that B decides P0. Here, ConT claims the consistency of T . As a byproduct, we obtain a...

Introduction: Recent development of methods to measure p0, in the clinic has generated data confirming a prognostic relationship between tumor p0, and clinical outcome. These results provide a powerful stimulus for development of enhanced methods for monitoring tumor ~0,. We have been developing a methodFRBDOM (Fluorine Relaxometry using Echo planar imaging for Dynamic Oxygen Mapping), which ty...

For example, a woman who is described as 'gravida 2, para 2 (sometimes abbreviated to G2 P2) has had two pregnancies and two deliveries after 24 weeks, and a woman who is described as 'gravida 2, para 0' (G2 P0) has had two pregnancies, neither of which survived to a gestational age of 24 weeks. If they are both currently pregnant again, these women would have the obstetric résumé of G3 P2 and ...

We shall present new Kolmogorov type inequalities for intermediate derivatives of multiply monotone functions defined on the negative half-line as well as their applications to the Kolmogorov problem consisting of finding necessary and sufficient conditions for the system of positive numbers M0,p0 ,Mk,pk ,Mr,pr which guarantee the existence of an (r − 1) monotone function x such that ‖x‖p0 = M0...

Let L be a linear space of real bounded random variables on the probability space (Ω,A, P0). A finitely additive probability P on A such that P ∼ P0 and EP (X) = 0 for each X ∈ L is called EMFA (equivalent martingale finitely additive probability). In this paper, EMFA’s are investigated in case P0 is atomic. Existence of EMFA’s is characterized and a question raised in [3] is answered. Some res...

We prove that there exists an integer p0 such that X split (p)(Q) is made of cusps and CM-points for any prime p > p0. Equivalently, for any non-CM elliptic curve E over Q and any prime p > p0 the image of the representation of Gal(¯ Q/Q) induced by the Galois action on the p-division points of E is not contained in the normalizer of a split Cartan subgroup. This gives a partial answer to an ol...

We determine the extrapolation law of rearrangement operators acting on the Haar system in vector valued H spaces: If 0 < q ≤ p < 2, then, ‖Tτ,q ⊗ IdX‖ q 2−q q ≤ A(p, q)‖Tτ,p ⊗ IdX‖ p 2−p p . For a fixed Banach space X, the extrapolation range 0 < q ≤ p < 2 is optimal. If, however, there exists 1 < p0 < ∞, so that ‖Tτ,p0 ⊗ IdE‖L0 E < ∞, for each UMD space E, then for any 1 < p < ∞, ‖Tτ,p ⊗ IdE‖...