None of the existing methods for computing the oscillatory integral ∫ b a f(x)e iωg(x) dx achieve all of the following properties: high asymptotic order, stability, avoiding deformation into the complex plane and insensitivity to oscillations in f . We present a new method that satisfies these properties, based on applying the gmres algorithm to a shifted linear differential operator.

BACKGROUND Most minimal residual disease-directed treatment interventions in current treatment protocols for acute lymphoblastic leukemia are based on bone marrow testing, which is a consequence of previous studies showing the superiority of bone marrow over peripheral blood as an investigational material. Those studies typically did not explore the prognostic impact of peripheral blood involve...

Minimal residual disease is the most powerful predictor of outcome in acute leukemia and is useful in therapeutic stratification for acute lymphoblastic leukemia protocols. Nowadays, the most reliable methods for studying minimal residual disease in acute lymphoblastic leukemia are multiparametric flow cytometry and polymerase chain reaction. Both provide similar results at a minimal residual d...

The diagnosis systems considered in this paper rely on the inconsistency between the actual process behaviour and its expected behaviour as described by an analytical model. The inconsistency is exhibited in signals called residuals. Two methods for residual generation are presented in a tutorial way: the parity space and the observer based approaches. Linear and nonlinear models are successive...

This paper presents a method of Stolt residual migration applicable to prestack data. The method’s main merit is that instead of requiring an assumption about the magnitude of the new velocity model to which we want to residually migrate, it only calls for an assumption about the ratio of the reference velocity to the new one. Since the method is, in essence, a Stolt-stretch technique, it inher...

We investigate using the gmres method with the differentiation operator. This operator is unbounded, and thus does not fall into the framework of existing Krylov subspace theory. We establish conditions under which a function can be approximated by its own derivatives in a domain of the complex plane. These conditions are used to determine when gmres converges. This algorithm outperforms tradit...

BACKGROUND Minimal residual disease is an important independent prognostic factor in childhood acute lymphoblastic leukemia. The classical detection methods such as multiparameter flow cytometry and real-time quantitative polymerase chain reaction analysis are expensive, time-consuming and complex, and require considerable technical expertise. DESIGN AND METHODS We analyzed 229 consecutive ch...

background: the wilm’s tumor gene 1 (wt1) encodes a zinc finger transcription factor that is inactivated in a subset of wilm’s tumors. it plays a crucial role in growth, proliferation and development of some embryonic and adult organs. wt1 is expressed as a tumor associated antigen (taa) in various types of solid and hematopoietic malignancies and can be employed as a useful marker for targeted...

The important contribution by Basu and Fernald (European Economic Review, 2002, 46) shows that, in practice, there is a statistically significant gap between aggregate productivity and technology that can be attributed to inefficient product and labour markets. This is important, as it implies that the Solow residual is an imperfect index for aggregate technology change. We take a related appro...