Analysis of Nonlinear Fiber Interactions for Finite-Length Constant-Composition Sequences

SummaryLiposomes of pure phospholipids were used in a modified APTT test system and the role of phosphatidyl serine (PS) in determining the sensitivity of the test system to the presence of lupus anticoagulants was assessed. Six consecutive patients with lupus anticoagulants and seven haemophiliacs with anticoagulants directed at specific coagulation factors, were studied. Increasing the concentration of phospholipid in the test system markedly reduced the sensitivity to lupus anticoagulants but had marginal effect on the specific factor inhibitors. The same effect was achieved when the content of PS alone was increased in a vehicle liposome of constant composition.The results suggest that the lupus anticoagulants can best be detected by a screening method using an APTT test with a reagent of low PS content. The use of a reagent rich in PS will largely abolish the lupus anticoagulant’s effect on the APTT. An approach using the two different types of reagent may facilitate differentiation of lupus inhibitors from other types of anticoagulant.

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SCATTERING OF ANHARMONIC SIGNALS ON FINITE-LENGTH DIFFRACTION LATTICES OF ARBITRARY PROFILE

Telecommunications and Radio Engineering ◽

10.1615/telecomradeng.v71.i18.20 ◽

2012 ◽

Vol 71 (18) ◽

pp. 1635-1642

Author(s):

S. E. Shaldaev

Keyword(s):

Finite Length ◽

Arbitrary Profile

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FDTD Analysis of Transient Radiating and Reflecting Electromagnetic Fields of Finite Length Microstrip Lines with Terminal Cross-sections

2019 URSI International Symposium on Electromagnetic Theory (EMTS) ◽

10.23919/ursi-emts.2019.8931536 ◽

2019 ◽

Author(s):

Rakkappan Balasubramanian ◽

Yasumitsu MIYAZAKI

Keyword(s):

Electromagnetic Fields ◽

Finite Length ◽

Cross Sections ◽

Microstrip Lines

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Residual phase lignin in haft cooking related to the conditions in the cook

Nordic Pulp & Paper Research Journal ◽

10.3183/npprj-1997-12-04-p225-23 ◽

1997 ◽

Vol 12 (4) ◽

pp. 225-229

Author(s):

Cart-in A-S. Gustavsson ◽

Chritofer T. Lindgren ◽

Mikael E. Lindström

Keyword(s):

Hydrogen Sulfide ◽

Ionic Strength ◽

Sodium Ion ◽

Ion Concentration ◽

Constant Composition ◽

Hydroxide Ion ◽

Sulfide Ion ◽

Residual Phase ◽

Kraft Cooking ◽

Very High

Abstract The amount of lignin reacting according to the slow residual phase, i.e. the residual phase lignin, is in many perspectives an interesting issue. The purpose of the present investigation was to develop a mathematical model to show how the amount of residual phase lignin in the kraft cooking of spruce chips (Picm ahies) depends on the conditions in the earlier phases of the cook. The variables studied were hydroxide ion concentration, hydrogen sulfide ion concentration and ionic strength. The liquor-to-wood ratio during pulping was very high to maintain approximately constant chemical concentrations throughout each experiment (so called "constant composition" cooks). An increase in hydroxide ion concentration andtor hydrogen sulfide ion concentration leads to a decrease in the amount of residual phase lignin, while an increase in ionic strength, i.e. sodium ion concentration, leads to an increase. A signiticant result is that the hydrogen sulfide ion concentration has a pronounced influence on the amount of residual phase lignin during a cook at a low hydroxide ion concentration. The amount of residual phase lignin expressed as % lignin on wood, L,, can be described by the following equation developed for "constant composition" cooks (when cooking with a constant sodium ion concentration of 2 mol/L): LT=0,55-0.32*[HO-](-1,3)*ln[HS-] This equation is valid for a concentration of HO- in the range from 0.17 to 1.4, and a hydrogen sulfide ion concentration from 0.07 to 0.6 mol/L.

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On mappings with finite length distortion on Riemann surfaces

Proceedings of the Institute of Applied Mathematics and Mechanics NAS of Ukraine ◽

10.37069/1683-4720-2019-33-4 ◽

2019 ◽

Vol 33 ◽

Cited By ~ 1

Author(s):

Serhii Volkov ◽

Vladimir Ryazanov

Keyword(s):

Finite Length ◽

Riemann Surfaces ◽

Boundary Behavior ◽

Main Tool ◽

Natural Generalization ◽

Finite Distortion ◽

Lipschitz Mappings ◽

Geometric Function ◽

Mappings With Finite Distortion ◽

Length Distortion

The present paper is a natural continuation of our previous paper (2017) on the boundary behavior of mappings in the Sobolev classes on Riemann surfaces, where the reader will be able to find the corresponding historic comments and a discussion of many definitions and relevant results. The given paper was devoted to the theory of the boundary behavior of mappings with finite distortion by Iwaniec on Riemannian surfaces first introduced for the plane in the paper of Iwaniec T. and Sverak V. (1993) On mappings with integrable dilatation and then extended to the spatial case in the monograph of Iwaniec T. and Martin G. (2001) devoted to Geometric function theory and non-linear analysis. At the present paper, it is developed the theory of the boundary behavior of the so--called mappings with finite length distortion first introduced in the paper of Martio O., Ryazanov V., Srebro U. and Yakubov~E. (2004) in the spatial case, see also Chapter 8 in their monograph (2009) on Moduli in modern mapping theory. As it was shown in the paper of Kovtonyuk D., Petkov I. and Ryazanov V. (2017) On the boundary behavior of mappings with finite distortion in the plane, such mappings, generally speaking, are not mappings with finite distortion by Iwaniec because their first partial derivatives can be not locally integrable. At the same time, this class is a generalization of the known class of mappings with bounded distortion by Martio--Vaisala from their paper (1988). Moreover, this class contains as a subclass the so-called finitely bi-Lipschitz mappings introduced for the spatial case in the paper of Kovtonyuk D. and Ryazanov V. (2011) On the boundary behavior of generalized quasi-isometries, that in turn are a natural generalization of the well-known classes of bi-Lipschitz mappings as well as isometries and quasi-isometries. In the research of the local and boundary behavior of mappings with finite length distortion in the spatial case, the key fact was that they satisfy some modulus inequalities which was a motivation for the consideration more wide classes of mappings, in particular, the Q-homeomorphisms (2005) and the mappings with finite area distortion (2008). Hence it is natural that under the research of mappings with finite length distortion on Riemann surfaces we start from establishing the corresponding modulus inequalities that are the main tool for us. On this basis, we prove here a series of criteria in terms of dilatations for the continuous and homeomorphic extension to the boundary of the mappings with finite length distortion between domains on arbitrary Riemann surfaces.

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