We consider interpolation in Lie groups and homogeneous spaces. Based on points on the manifold together with tangent vectors at (some of) these points, we construct Hermite interpolation polynomials. If the points and tangent vectors are produced in the process of integrating an ordinary di erential equation on a Lie group or a homogeneous space, we use the truncated inverse of the di erential...

The suitability of methods from multidimensional systems theory and digital signal processing for the e cient simulation of time and space dependent problems has already been demonstrated. Properly chosen functional transformations for the time and space coordinates turn a partial di erential equation into a transfer function description of a multidimensional continuous system. It serves as the...

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Anionic detergents have been shown to lower markedly the differential-pulse voltammetric peak currents obtained for 12-molybdophosphate and 12molybdosilicate in aqueous solutions, but when ethanol water or acetone water (1 + 1 V / V ) solutions are used there is no interference. Static differential-pulse voltammetric and flow injection voltammetric procedures have been developed for the determi...

Defi nition 377 [18.2] Epidemiology and Pathogenesis 379 [18.3] Key Steps in the Diagnosis of AML 379 [18.4] Blasts and Blast Equivalents 380 [18.5] Classifi cation of AML 385 [18.6] Biologic Subtypes of AML 385 [18.7] AML, Not Otherwise Specifi ed (NOS) 408 [18.8] Prognostic Factors in AML 417 [18.9] Diagnostic Pitfalls in AML Diagnosis 419 [18.10] Minimal Residual Disease, Post-Th erapy Chang...

Solitary fibrous tumors are unusual neoplasms that are rarely found in the liver parenchyma. Th ey are usually described as hard, grayish white, well-defined lesions. Predominant cystic change in a solitary fibrous tumor is an unexpected finding, with only a few previous cases reported in the literature, two of which are localized in the head and neck region. Herein, we report a unique case of ...

| We consider di erential equations A(x) _ x = g(x), where A is an n n-matrix of C 1 functions and g is C 1 . We investigate the above di erential equation about singular points x 0 that are standard in the sense of Rabier. In particular, the null space of A(x 0 ) is of dimension 1. We show that there is a C 1 -di eomorphism that transforms the above equation about x 0 into x 1 _ x 1 = 1, _ x 2...

We present a method to solve initial and boundary value problems using arti ial neural networks. A trial solution of the di erential equation is written as a sum of two parts. The rst part satis es the initial/boundary onditions and ontains no adjustable parameters. The se ond part is onstru ted so as not to a e t the initial/boundary onditions. This part involves a feedforward neural network, ...

in this paper, the dierential transform method (dtm) is applied to the fisherequation. this method can be used to obtain the exact solutions of fisherequation. finally, we give some examples to illustrate the suciency of themethod for solving such nonlinear partial dierential equations. these resultsshow that this technique is easy to apply.

Network congestion control remains a critical and high priority issue. The rapid growth of the Internet and increased demand to use the Internet for time-sensitive voice and video applications necessitate the design and utilization of effective congestion control algorithms, especially for new architectures, such as differentiated services (Diff-Serv). As a result, a number of researchers are n...