scholarly journals Assessing a Linear Nanosystem's Limiting Reliability from its Components

2008 ◽  
Vol 45 (03) ◽  
pp. 879-887 ◽  
Author(s):  
Nader Ebrahimi
Keyword(s):  
Present State ◽  
Size Range ◽  
Two Dimensions ◽  
The Other ◽  
One Dimension ◽  
Present Moment ◽  
One Dimensional ◽  
The One ◽  
Fixed Moment ◽  
Nanosized Systems

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.

scholarly journals Assessing a Linear Nanosystem's Limiting Reliability from its Components

2008 ◽  
Vol 45 (3) ◽  
pp. 879-887 ◽  
Author(s):  
Nader Ebrahimi
Keyword(s):  
Present State ◽  
Size Range ◽  
Two Dimensions ◽  
The Other ◽  
One Dimension ◽  
Present Moment ◽  
One Dimensional ◽  
The One ◽  
Fixed Moment ◽  
Nanosized Systems

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.

Limit theorems and absorption problems for quantum radom walks in one dimension

2002 ◽  
Vol 2 (Special) ◽  
pp. 578-595
Author(s):  
N. Konno
Keyword(s):  
Random Walks ◽  
Limit Theorems ◽  
The Other ◽  
One Dimension ◽  
Unitary Matrices ◽  
Quantum Random Walks ◽  
One Dimensional ◽  
The Difference ◽  
The One

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.

Study on Pairwise Bundle Adjustment and One Dimension Wand Calibration for Cameras Group

2013 ◽  
Vol 365-366 ◽  
pp. 702-707
Author(s):  
Xun Luo ◽  
Wei Zhao ◽  
Hai Nan Zhang
Keyword(s):  
Fundamental Matrix ◽  
Bundle Adjustment ◽  
The Other ◽  
One Dimension ◽  
Optimal Solutions ◽  
One Dimensional ◽  
Calibration Methods ◽  
The One ◽  
Dimensional Object ◽  
Couple Method

It is proposed a method of cameras group calibration with pairwise bundle adjustment using one dimensional wand. The one dimensional wand is one of the simplest calibration tools with two distinguishing markers the distance between which is known. The wand with the markers moves unconstrained in the field of cameras group, acquiring the coordinates of the projections of the corresponding marker in each camera. Every two cameras are formed as a couple, which fundamental matrix, focal lengths, rotation matrix, translation matrix and scale factor can be estimated under a few of certain assumptions. Optimal solutions are obtained through the pairwise bundle adjustment. The group calibration result is demonstrated as a sort sequence of all of the couple calibration results in ascending order according to reconstruction errors. The couple as top ranked as possible will be used to reconstruct the object in application procedures. Experimental results show that the dual couple method has much more accuracy and maintain the same feasibility comparing with the other one dimensional object calibration methods.

Lower Bounds to the Eigenvalues in One-Dimensional Problems by a Shift in the Weight Function

1970 ◽  
Vol 37 (2) ◽  
pp. 267-270 ◽  
Author(s):  
D. Pnueli
Keyword(s):  
Lower Bound ◽  
Weight Function ◽  
Lower Bounds ◽  
Variational Formulation ◽  
Ritz Method ◽  
The Other ◽  
One Dimensional ◽  
Systematic Shift ◽  
The One ◽  
Detailed Computation

A method is presented to obtain both upper and lower bound to eigenvalues when a variational formulation of the problem exists. The method consists of a systematic shift in the weight function. A detailed procedure is offered for one-dimensional problems, which makes improvement of the bounds possible, and which involves the same order of detailed computation as the Rayleigh-Ritz method. The main contribution of this method is that it yields the “other bound;” i.e., the one which cannot be obtained by the Rayleigh-Ritz method.

scholarly journals The trend of the oxidants in boreal forest over 2007–2018: comprehensive modelling study with long-term measurements at SMEAR II, Finland

2020 ◽  
Author(s):  
Dean Chen ◽  
Putian Zhou ◽  
Tuomo Nieminen ◽  
Pontus Roldin ◽  
Ximeng Qi ◽  
...  
Keyword(s):  
Air Pollutants ◽  
Size Range ◽  
Chemical Components ◽  
Detailed Model ◽  
One Dimensional ◽  
The Past ◽  
Main Driver ◽  
The One ◽  
Long Term Trend

Abstract. Major atmospheric oxidants (OH, O3 and NO3) dominate the atmospheric oxidation capacity, while H2SO4 is considered as a main driver for new particle formation events. Although numerous studies have investigated the long-term trend of ozone in Europe, the trend of OH, NO3 and H2SO4 at specific sites are to a large extent unknown. In this study, we investigated how the trends in major atmospheric oxidants (OH, O3 and NO3) and H2SO4 changed in southern Finland during the past 12 years and discuss how these trends relate to decreasing emissions of regulated air pollutants in Europe. The one-dimensional model SOSAA has been applied in several studies at the SMEAR II station, and has been validated by measurements in several projects. Here, we ran the SOSAA model for the years 2007–2018 to simulate the atmospheric chemical components, especially the atmospheric oxidants and H2SO4 at SMEAR II. The simulations were evaluated with observations at SMEAR II for several shorter and longer campaigns. Our results show that OH increased by +1.56 (−0.8; +3.17) % yr−1 during daytime and NO3 decreased by −3.92 (−6.49; −1.79) % yr−1 during nighttime, indicating different trends of the oxidants during day and night. Sulphuric acid decreased during daytime by −5.12 (−11.39; −0.52) % yr−1, which correlated with the observed decreasing concentration of newly formed particles in the size range 3–25 nm by 1.4 % yr−1 at SMEAR II during the years 1997–2012 (Nieminen et al., 2014). Additionally we compared our simulated OH, NO3 and H2SO4 concentrations with proxies, which are commonly applied in case limited amount of parameters are measured and no detailed model simulations are available.

Internet Memes, Memory, and Orders of Repackaging

2021 ◽  
Vol 2 (1) ◽  
pp. 111-136
Author(s):  
Julija Korostenskiene
Keyword(s):  
Human Memory ◽  
Two Dimensions ◽  
The Other ◽  
Methodological Framework ◽  
Internal Dimension ◽  
External Dimension ◽  
The One ◽  
Taxonomic Relations

Abstract The present study explores the construction of humor in internet memes along two dimensions. The external dimension is concerned with humor in internet memes as opposed to verbal humor on the one hand and as opposed to humor in comics and caricatures on the other. The perceptive differences, stemming from the workings of the human memory, and the medium are posited as the two main differentiating factors. On the internal dimension, we explore manifestations of humor in light of the communicative situation and taxonomic relations at both the intermedial and intramedial levels of internet memes, taking as an example a family of You Wouldn’t Get It image macros. Our analysis employs elements of intertextuality theory and the notion of orders of indexicality. The study aims to contribute to the growing theoretical and methodological framework for multifactorial analyses of internet memes.

Some Observations on the Phenomena of Life and Mind

1868 ◽  
Vol 13 (64) ◽  
pp. 437-449
Author(s):  
Robert Dunn
Keyword(s):  
Nervous System ◽  
Present State ◽  
The Other ◽  
Mental Life ◽  
States Of Consciousness ◽  
Physical Forces ◽  
Material Conditions ◽  
Living Organisms ◽  
The One

Life and mind, in their abstract nature or essence alike inscrutable to us, are problems which belong to the same category; for, in this world, we know nothing of life apart from an organism, and we have no manifestations of mind independently of a brain and nervous system. Here living organisms are required for the display of the vital phenomena, and a brain and nervous system for the manifestations of mind. Life has accordingly been defined as “the collective expression for a series of phenomena which take place exclusively in bodies that are organized,” and “mind as the functional manifestations of the living brain.” But then, and at the outset, it is to be remembered that in affirming sensation, emotion, thought, and volition to be functions of the nervous system, what is really maintained is this, that the vesicular matter of the encephalic ganglia furnishes the material conditions—the medium through which these mental phenomena are made manifest in this life. It may indeed be asked, Are not the physical forces of external nature, which underlie all vital phenomena, and the changing states of consciousness which constitute our mental life, as inscrutable to us in their nature or essence as are life and mind ? and it must be conceded that they are. Matter and force are coexistent, and are correlative. Nor can we conceive of the one but in association with, by, and through the other, any more than we can conceive of life, in our present state of existence, apart from an organism, or of thought independently of a living brain.

scholarly journals Algebraic approach for the one-dimensional Dirac–Dunkl oscillator

2020 ◽  
Vol 35 (31) ◽  
pp. 2050255
Author(s):  
D. Ojeda-Guillén ◽  
R. D. Mota ◽  
M. Salazar-Ramírez ◽  
V. D. Granados
Keyword(s):  
Energy Spectrum ◽  
Irreducible Representation ◽  
Differential Equations ◽  
Representation Theory ◽  
Algebraic Approach ◽  
The Other ◽  
One Dimensional ◽  
The One

We extend the (1 + 1)-dimensional Dirac–Moshinsky oscillator by changing the standard derivative by the Dunkl derivative. We demonstrate in a general way that for the Dirac–Dunkl oscillator be parity invariant, one of the spinor component must be even, and the other spinor component must be odd, and vice versa. We decouple the differential equations for each of the spinor component and introduce an appropriate su(1, 1) algebraic realization for the cases when one of these functions is even and the other function is odd. The eigenfunctions and the energy spectrum are obtained by using the su(1, 1) irreducible representation theory. Finally, by setting the Dunkl parameter to vanish, we show that our results reduce to those of the standard Dirac-Moshinsky oscillator.

Exploring the electron density localization in MoS2 nanoparticles using a localized-electron detector: Unraveling the origin of the one-dimensional metallic sites on MoS2 catalysts

2018 ◽  
Vol 20 (31) ◽  
pp. 20417-20426 ◽  
Author(s):  
Yosslen Aray ◽  
Antonio Díaz Barrios
Keyword(s):  
Electron Density ◽  
The Other ◽  
Local Moment ◽  
Electron Detector ◽  
Moment Representation ◽  
One Dimensional ◽  
Mos2 Nanoparticles ◽  
Mos2 Catalysts ◽  
The One

The nature of the electron density localization in two MoS2 nanoclusters containing eight rows of Mo atoms, one with 100% sulphur coverage at the Mo edges (n8_100S) and the other with 50% coverage (n8_50S) was studied using a localized-electron detector function defined in the local moment representation.

scholarly journals Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model

1994 ◽  
Vol 49 (9) ◽  
pp. 856-860
Author(s):  
Barbara Drossel ◽  
Siegfried Clar ◽  
Franz Schwabl
Keyword(s):  
Size Distribution ◽  
Forest Fire ◽  
Nearest Neighbor ◽  
The Self ◽  
One Dimension ◽  
Fire Model ◽  
One Dimensional ◽  
Self Organized ◽  
Forest Fire Model ◽  
The One

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.

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