New techniques for superscalar instruction issuing are presented. It is shown that the data dependency check for both in-order and out-of-order issuing can be performed in O(logw) gate delay using O(w2) primitive gates, where w is the size of the instruction buffer. Furthermore, we present a new counting based technique for assigning instructions to resources. It requires a delay of O(logw+logm...

Correspondence to: Dr Yee Guan Yap, Department of Cardiological Sciences, St George’s Hospital Medical School, Cranmer Terrace, London SW17 0RE, UK; [email protected] _________________________ I n 1966, Francois Dessertenne described a specific electrocardiographic form of polymorphic ventricular tachycardia, which he termed ‘‘torsades de pointes’’ (TdP). w2 The word ‘‘torsades’’ refers to an ornam...

Let two Heegaard splittings V1 ∪ W1 and V2 ∪ W2 of a 3manifold M be given. We consider the union stabilization M = V ∪ W which is a common stabilization of V1 ∪ W1 and V2 ∪ W2 having the property that V = V1 ∪ V2. We show that any two Heegaard splittings of a 3-manifold have a union stabilization. We also give some examples with numerical bounds on the minimal genus of union stabilization. On t...

Let w, w,2 and w2 be the fitnesses of genotypes A,A, AlA2 and A2A2 in an infinite diploid population, and let p. be the A, gene frequency in the nth generation. If fitness varies independently from generation to generation, then pn is a Markov process with a continuum of states. If E[ln(w/w2,)] <0 for i = 1,2, then there is a unique stationary probability, and the distribution of p. converges t...

We show that if T is a bounded linear operator on a complex Hilbert space, then 1 2 ‖T‖ ≤ √ w2(T ) 2 + w(T ) 2 √ w2(T )− c2(T ) ≤ w(T ), where w(·) and c(·) are the numerical radius and the Crawford number, respectively. We then apply it to prove that for each t ∈ [0, 12 ) and natural number k, (1 + 2t) 1 2k 2 1 k m(T ) ≤ w(T ), where m(T ) denotes the minimum modulus of T . Some other related ...

For an ordered set W = {w1, w2, . . . , wk} of vertices and a vertex v in a connected graph G, the ordered k-vector r(v|W ) := (d(v, w1), d(v, w2), . . . , d(v, wk)) is called the metric representation of v with respect to W , where d(x, y) is the distance between vertices x and y. A set W is called a resolving set for G if distinct vertices of G have distinct representations with respect to W ...

1. I n t r o d u c t i o n 1. Let M be a real-analytic manifold, Vect M the Lie algebra of analytic vector fields on M. We consider a vector field f E Vect M as a differential operator of first order on the algebra of smooth functions C ~ (M) which satisfies the differentiation rule f(W1W2) -" (fw1)W2 + wI(fW2) VWI, W2 E Coo(M). A point z E M will be identified with the corresponding homomorphi...

The present paper is a continuation of [1]. In the previous paper we dealt with the purely asymptotic estimations, whereas now our goal is to provide some estimates valid for quite a substantial part of the tail. We shall deal with the following simple case. An investor operating on an emerging market, has in his portfolio two currencies which are highly dependent, for example euros (EUR) and S...

In this paper we study the asymptotic distribution of the moments of (nonnormalized) traces Tr(w1),Tr(w2), . . . ,Tr(wr), where w1, w2, . . . , wr are reduced words in unitaries in the group U(N). We prove that as N → ∞ these variables are distributed as normal gaussian variables √ j1Z1, . . . , √ Zr , where j1, . . . , jr are the number of cyclic rotations of the words w1, . . . , ws leaving t...

In the context of paracontact geometry, η-Ricci solitons are considered on manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0, S · R(ξ,X) = 0, W2(ξ,X) · S = 0 and S · W2(ξ,X) = 0. We prove that on a para-Kenmotsu manifold (M,φ, ξ, η, g), the existence of an η-Ricci soliton implies that (M, g) is quasi-Einstein and if the Ricci curvature satisfies R(ξ,X) · S = 0, then (M, g) is Ei...