The One-Center δ’-Interaction in One Dimension

Author(s):  
Sergio Albeverio ◽  
Friedrich Gesztesy ◽  
Raphael Høegh-Krohn ◽  
Helge Holden
Keyword(s):  
2020 ◽  
Vol 17 ◽  
Author(s):  
Houli Li ◽  
Di Zhang ◽  
Xiaoliang Cheng ◽  
Qiaowei Zheng ◽  
Kai Cheng ◽  
...  

Background: The trough concentration (Cmin) of Imatinib (IM) is closely related to the treatment outcomes and adverse reactions of patients with gastrointestinal stromal tumors (GIST). However, the drug plasma level has great interand intra-individual variability, and therapeutic drug monitoring (TDM) is highly recommended. Objective: To develop a novel, simple, and economical two-dimensional liquid chromatography method with ultraviolet detector (2D-LC-UV) for simultaneous determination of IM and its major active metabolite, N-demethyl imatinib (NDIM) in human plasma, and then apply the method for TDM of the drug. Method: Sample was processed by simple protein precipitation. Two target analytes were separated on the one-dimension column, captured on the middle column, and then transferred to the two-dimension column for further analysis. The detection was performed at 264 nm. The column temperature was maintained at 40˚C and the injection volume was 500 μL. Totally 32 plasma samples were obtained from patients with GIST who were receiving IM. Method: Sample was processed by simple protein precipitation. Two target analytes were separated on the one-dimension column, captured on the middle column, and then transferred to the two-dimension column for further analysis. The detection was performed at 264 nm. The column temperature was maintained at 40˚C and the injection volume was 500 μL. Totally 32 plasma samples were obtained from patients with GIST who were receiving IM. Conclusion: The novel 2D-LC-UV method is simple, stable, highly automated and independent of specialized technicians, which greatly increases the real-time capability of routine TDM for IM in hospital.


2008 ◽  
Vol 45 (03) ◽  
pp. 879-887 ◽  
Author(s):  
Nader Ebrahimi

Nanosystems are devices that are in the size range of a billionth of a meter (1 x 10-9) and therefore are built necessarily from individual atoms. The one-dimensional nanosystems or linear nanosystems cover all the nanosized systems which possess one dimension that exceeds the other two dimensions, i.e. extension over one dimension is predominant over the other two dimensions. Here only two of the dimensions have to be on the nanoscale (less than 100 nanometers). In this paper we consider the structural relationship between a linear nanosystem and its atoms acting as components of the nanosystem. Using such information, we then assess the nanosystem's limiting reliability which is, of course, probabilistic in nature. We consider the linear nanosystem at a fixed moment of time, say the present moment, and we assume that the present state of the linear nanosystem depends only on the present states of its atoms.


Author(s):  
Dali Chen ◽  
Dingyu Xue ◽  
YangQuan Chen

Firstly the one-dimension digital fractional order Savitzky-Golay differentiator (1-D DFOSGD), which generalizes the Savitzky-Golay filter from the integer order to the fractional order, is proposed to estimate the fractional order derivative of the noisy signal. The polynomial least square fitting technology and the Riemann-Liouville fractional order derivative definition are used to ensure robust and accuracy. Experiments demonstrate that 1-D DFOSGD can estimate the fractional order derivatives of both ideal signal and noisy signal accurately. Secondly, the two-dimension DFOSGD is obtained from 1-D DFOSGD by defining a group of direction operators, and a new image enhancing method based on 2-D DFOSGD is presented. Experiments demonstrate that 2-D DFOSGD has very good performance on image enhancement.


2002 ◽  
Vol 2 (Special) ◽  
pp. 578-595
Author(s):  
N. Konno

In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by $2 \times 2$ unitary matrices using our PQRS method. The one type was introduced by Gudder in 1988, and the other type was studied intensively by Ambainis et al. in 2001. The difference between both types of quantum random walks is also clarified.


2014 ◽  
Vol 21 (2) ◽  
pp. 219-244 ◽  
Author(s):  
Shaista E. Khilji ◽  
Edward F. Murphy ◽  
Regina A. Greenwood ◽  
Bahaudin G. Mujtaba

Purpose – The purpose of this paper is to expand the burgeoning research, which provides evidence relating to the influence of religion upon work-related values. Design/methodology/approach – The authors employed a survey methodology to collect data across seven countries and six religions. Findings – The study provides evidence of differences as well as similarities in the way people belonging to different religions rank personal values. Thus, on the one hand, the authors can argue that religion helps shape our behavior and attitudes in the workplace, whilst at the same time, however, accepting the converging influence of globalization and/or the universality of some values that they include in their analysis. This finding leads the authors to focus upon a complex pattern of value variations and similarities across religions. Originality/value – Overall, the findings provide a glimpse into what the paper interprets as (just one dimension of) plurality within contemporary organizations to support the paradox perspective, popularized by Lewis and Smith and Lewis, who contend that organizations embed multiple tensions and dilemmas in an ongoing cyclical process. Hence the paper argues that the similarities and differences across religious affiliations are not “either/or” choices but dualities that must be dynamically balanced in order to simultaneously meet multiple employee needs. The paper concludes that managers and employees need to articulate and embrace paradoxes related to religion, in order to create an awareness of the influence of religion that leads to being inclusive.


2018 ◽  
Vol 878 ◽  
pp. 35-40
Author(s):  
Fei Peng ◽  
Zhi Guang Yang ◽  
Li Peng Wang

The attenuation of stress wave induced by impact load in multi-layered thin cylindrical rods has been investigated and analyzed. Firstly, based on stress wave propagation theory, the one dimension solution of the response of stress wave in three-layered media has been given. Secondly, a three-layered thin cylindrical rod has been established through FEM, and the propagation and attenuation of stress wave in it has been analyzed. The analytical and numerical results showed that the stress wave attenuation could be achieved by using multi-layered media.


1994 ◽  
Vol 49 (9) ◽  
pp. 856-860
Author(s):  
Barbara Drossel ◽  
Siegfried Clar ◽  
Franz Schwabl

Abstract We modify the rules of the self-organized critical forest-fire model in one dimension by allowing the fire to jum p over holes of ≤ k sites. An analytic calculation shows that not only the size distribution of forest clusters but also the size distribution of fires is characterized by the same critical exponent as in the nearest-neighbor model, i.e. the critical behavior of the model is universal. Computer simulations confirm the analytic results.


Author(s):  
Junyu Lin ◽  
Shijin Ding

Using the differential–difference method and viscosity vanishing approach, we obtain the existence and uniqueness of the global smooth solution to the periodic initial-value problem of the inhomogeneous, non-automorphic Landau–Lifshitz equation without Gilbert damping terms in one dimension. To establish the uniform estimates, we use some identities resulting from the fact and the fact that the vectors form an orthogonal base of the space .


Author(s):  
Alexander Noyon ◽  
Thomas Heidenreich

This chapter introduces five central concepts of existential philosophy in order to deduce ethical principles for psychotherapy: phenomenology, authenticity, paradoxes, isolation, and freedom vs. destiny. Phenomenological perspectives are useful as a guideline for how to encounter and understand patients in terms of individuality and uniqueness. Existential communication as a means to search and face the truth of one’s existence is considered as a valid basis for an authentic life. Paradoxes that cannot be solved are characteristic for human existence and should be dealt with to turn resignation into active choices. Isolation is one of the “existentials” characterizing human life between two paradox poles: On the one hand we are deeply in need of relationships to other human beings; on the other hand we are thrown into the world alone and will always stay like this, no matter how close we get to another person. Further, addressing freedom and destiny as two extremes of one dimension can serve as a basis for orientation in life and also for dealing with the separation between responsibility and guilt.


2013 ◽  
Vol 785-786 ◽  
pp. 1418-1422
Author(s):  
Ai Gao

In this paper, we provide a partition of the roots of a class of transcendental equation by using τ-D decomposition ,where τ>0,a>0,b<0 and the coefficient b is fixed.According to the partition, one can determine the stability domain of the equilibrium and get a Hopf bifurcation diagram that can provide the Hopf bifurcation curves in the-parameter space, for one dimension delay differential equation .


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