Althoughmost children with acute myeloid leukemia (AML) achieve complete remission, the relapse rate is 30% to 40%. Because it is thought that leukemia-initiating cells (LIC) are responsible for AML relapses, targeting these cells might improve outcome. Treatment of pediatric AML blasts with the receptor tyrosine kinase (RTK) inhibitor PTK787/ZK222584 (PTK/ZK) induces cell death in vitro.Howeve...

Given two polynomials with coeecients over Zk], the associated Bezout matrix B(k) with entries over Zk] deenes a parametric family of Bezout matrices with entries over Z. It is intended in this paper to propose a hybrid approach for determining the inertia of B(k) for any value of k in some real interval. This yields an eecient solution to certain root-location problems for bivariate polynomial...

Let k = Q(√−D) be an imaginary quadratic number field with ring of integers Zk and let k(α) be the cubic extension of k generated by the polynomial ft (x) = x3 − (t − 1)x2 − (t + 2)x − 1 with t ∈ Zk . In the present paper we characterize all elements γ ∈ Zk [α] with norms satisfying |Nk(α)/k | ≤ |2t + 1| for |t | ≥ 14. This generalizes a corresponding result by Lemmermeyer and Pethő for Shanks’...

Then dp is a metric. To prove this one must check the axioms. First, since |xk − yk| = |yk − xk| ≥ 0, it is obvious that dp(x, y) = dp(y, x) ≥ 0 for all x and y. Furthermore, since ∑ k |xk−yk| = 0 if and only if all the terms |xk−yk| are zero, we see that dp(x, y) = 0 if and only if x = y. To verify the remaining axiom we use Minkowski’s Inequality. Let x, y, z ∈ C, and define ak = yk − xk and ...

Abstract: Denote by MI(k) the moduli space of k-instanton bundles E of rank 2 on P = P(V ) and by Zk(E) the scheme of k-jumping lines. We prove that [E] ∈ MI(k) is not stable for the action of SL(V ) if Zk(E) 6= ∅. Moreover dimSym(E) ≥ 1 if lengthZk(E) ≥ 2. We prove also that E is special if and only if Zk(E) is a smooth conic. The action of SL(V ) on the moduli of special instanton bundles is ...

In this paper, we give an algebra–combinatorics formula of the Möbius transform for an abstract simplicial complex K on [m] = {1, ...,m} in terms of the Betti numbers of the Stanley–Reisner face ring of K. Furthermore, we employ a way of compressing K to estimate the lower bound of the sum of those Betti numbers by using this formula. As an application, associating with the moment-angle complex...

1 Problem mathematical formulation Let us consider a time-varying system described by k, θ, Sk, Zk, where k is the time index, θ is a vector of parameters, Sk is a random vector corresponding to the time-varying state at time k (with the corresponding realization denoted by sk), and Zk is a random vector corresponding to the observation process at time k (with the corresponding realization deno...

PURPOSE To analyze whether tyrosine kinase inhibitors blocking VEGF receptors (PTK787/ZK222584 [PTK/ZK] and ZK261991 [ZK991]) can inhibit not only hemangiogenesis but also lymphangiogenesis and whether treatment with tyrosine kinase inhibitors after corneal transplantation can improve graft survival. METHODS Inflammatory corneal neovascularization was induced by corneal suture placement. One ...

In a previous lecture, we showed a zero-knowledge (ZK) proof system for the language of graph isomorphism. Our goal here is to show a ZK proof system for any language inNP . To do so, it suffices to show a ZK proof system Π for any NP-complete language L (note that graph isomorphism is not believed to be NP-complete); given such a Π and any L ′ ∈ NP , we then obtain a ZK proof for L by (1) redu...