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Spectrum of the three dimensional fuzzy well  [PDF]
N Chandra,H W Groenewald,J N Kriel,F G Scholtz,S Vaidya
Physics , 2014, DOI: 10.1088/1751-8113/47/44/445203
Abstract: We develop the formalism of quantum mechanics on three dimensional fuzzy space and solve the Schr\"odinger equation for a free particle, finite and infinite fuzzy wells. We show that all results reduce to the appropriate commutative limits. A high energy cut-off is found for the free particle spectrum, which also results in the modification of the high energy dispersion relation. An ultra-violet/infra-red duality is manifest in the free particle spectrum. The finite well also has an upper bound on the possible energy eigenvalues. The phase shifts due to scattering around the finite fuzzy potential well have been calculated.
The influence of neuroticism and psychological symptoms on the assessment of images in three-dimensional emotion space  [cached]
Steffen Walter,Henrik Kessler,Sascha Gruss,Lucia Jerg-Bretzke
GMS Psycho-Social-Medicine , 2011,
Abstract: Objective: The present study investigated the influence of neuroticism (NEO Five-Factor Inventory (NEO-FFI)) and psychological symptoms (Brief Symptom Inventory (BSI)) on pleasure, arousal, and dominance (PAD) ratings of the International Affective Picture System (IAPS). Methods: The subjects (N=131) were presented with images from the IAPS (30 images) and new images (30 images). The influence of neuroticism and BSI (median split: high vs. low) on the assessment of pleasure, arousal and dominance of the images was examined. Correlations of pleasure, arousal and dominance were presented in a 3-D video animation. Results: Subjects with high scores (compared to subjects with low scores by median split) of neuroticism and psychological symptoms of the BSI rated the presented emotional images more negative in the valence dimension (pleasure), higher in arousal and less dominant. Conclusion: Neuroticism and psychological symptoms influence the subjective emotional evaluation of emotional images. Therefore the location in the three-dimensional emotion space depends on individual differences. Such differences must be kept in mind, if correlations between emotion ratings and other variables like psychobiological measures are analyzed.
An improved $\eps$ expansion for three-dimensional turbulence: summation of nearest dimensional singularities  [PDF]
L. Ts. Adzhemyan,J. Honkonen,M. V. Kompaniets,A. N. Vasil'ev
Physics , 2003, DOI: 10.1103/PhysRevE.68.055302
Abstract: An improved $\eps$ expansion in the $d$-dimensional ($d > 2$) stochastic theory of turbulence is constructed by taking into account pole singularities at $d \to 2$ in coefficients of the $\eps$ expansion of universal quantities. Effectiveness of the method is illustrated by a two-loop calculation of the Kolmogorov constant in three dimensions.
Dimensional emotion recognition in whispered speech signalbased on cognitive performance evaluation  [PDF]
Wu Chenjian, Huang Chengwei, Chen Hong
- , 2015, DOI: 10.3969/j.issn.1003-7985.2015.03.003
Abstract: The cognitive performance-based dimensional emotion recognition in whispered speech is studied. First, the whispered speech emotion databases and data collection methods are compared, and the character of emotion expression in whispered speech is studied, especially the basic types of emotions. Secondly, the emotion features for whispered speech is analyzed, and by reviewing the latest references, the related valence features and the arousal features are provided. The effectiveness of valence and arousal features in whispered speech emotion classification is studied. Finally, the Gaussian mixture model is studied and applied to whispered speech emotion recognition. The cognitive performance is also considered in emotion recognition so that the recognition errors of whispered speech emotion can be corrected. Based on the cognitive scores, the emotion recognition results can be improved. The results show that the formant features are not significantly related to arousal dimension, while the short-term energy features are related to the emotion changes in arousal dimension. Using the cognitive scores, the recognition results can be improved.E:\YW2015(3)\网刊\201503003.pdf
Improved convergence theorems for bubble clusters. II. The three-dimensional case  [PDF]
Gian Paolo Leonardi,Francesco Maggi
Mathematics , 2015,
Abstract: Given a sequence $\{\mathcal{E}_{k}\}_{k}$ of almost-minimizing clusters in $\mathbb{R}^3$ which converges in $L^{1}$ to a limit cluster $\mathcal{E}$ we prove the existence of $C^{1,\alpha}$-diffeomorphisms $f_k$ between $\partial\mathcal{E}$ and $\partial\mathcal{E}_k$ which converge in $C^1$ to the identity. Each of these boundaries is divided into $C^{1,\alpha}$-surfaces of regular points, $C^{1,\alpha}$-curves of points of type $Y$ (where the boundary blows-up to three half-spaces meeting along a line at 120 degree) and isolated points of type $T$ (where the boundary blows up to the two-dimensional cone over a one-dimensional regular tetrahedron). The diffeomorphisms $f_k$ are compatible with this decomposition, in the sense that they bring regular points into regular points and singular points of a kind into singular points of the same kind. They are almost-normal, meaning that at fixed distance from the set of singular points each $f_k$ is a normal deformation of $\partial\mathcal{E}$, and at fixed distance from the points of type $T$, $f_k$ is a normal deformation of the set of points of type $Y$. Finally, the tangential displacements are quantitatively controlled by the normal displacements. This improved convergence theorem is then used in the study of isoperimetric clusters in $\mathbb{R}^3$.
Improved percolation thresholds for rods in three-dimensional boxes  [PDF]
R. Florian,Z. Neda
Physics , 2001,
Abstract: We improve our previous results for the percolation thresholds of isotropically oriented rods in three dimensional boxes. We prove again the applicability of the excluded volume rule in the slender-rod limit (radius/length -> 0). Other limits for the rod sizes are discussed and important finite-size effects are revealed.
An improved $\eps$ expansion for three-dimensional turbulence: two-loop renormalization near two dimensions  [PDF]
L. Ts. Adzhemyan,J. Honkonen,M. V. Kompaniets,A. N. Vasil'ev
Physics , 2004, DOI: 10.1103/PhysRevE.71.036305
Abstract: An improved $\eps$ expansion in the $d$-dimensional ($d > 2$) stochastic theory of turbulence is constructed at two-loop order which incorporates the effect of pole singularities at $d \to 2$ in coefficients of the $\eps$ expansion of universal quantities. For a proper account of the effect of these singularities two different approaches to the renormalization of the powerlike correlation function of the random force are analyzed near two dimensions. By direct calculation it is shown that the approach based on the mere renormalization of the nonlocal correlation function leads to contradictions at two-loop order. On the other hand, a two-loop calculation in the renormalization scheme with the addition to the force correlation function of a local term to be renormalized instead of the nonlocal one yields consistent results in accordance with the UV renormalization theory. The latter renormalization prescription is used for the two-loop renormalization-group analysis amended with partial resummation of the pole singularities near two dimensions leading to a significant improvement of the agreement with experimental results for the Kolmogorov constant.
Numerical equation of state and other scaling functions from an improved three-dimensional Ising model  [PDF]
J. Engels,L. Fromme,M. Seniuch
Physics , 2002, DOI: 10.1016/S0550-3213(03)00085-3
Abstract: We study an improved three-dimensional Ising model with external magnetic field near the critical point by Monte Carlo simulations. From our data we determine numerically the universal scaling functions of the magnetization, that is the equation of state, of the susceptibility and of the correlation length. In order to normalize the scaling functions we calculate the critical amplitudes of the three observables on the critical line, the phase boundary and the critical isochore. These amplitudes lead to the universal ratios C^+/C^-=4.756(28), R_{chi}=1.723(13), Q_c=0.326(3) and Q_2=1.201(10). We find excellent agreement of the data with the parametric representation of the asymptotic equation of state as found by field theory methods. The comparison of the susceptibility data to the corresponding scaling function shows a marginal difference in the symmetric phase, which can be explained by the slightly different value for R_{chi} used in the parametrization. The shape of the correlation-length-scaling function is similar to the one of the susceptibility, as expected from earlier parametrizations. The peak positions of the two scaling functions are coinciding within the error bars.
Structure Analysis of Three-Dimensional Fuzzy Controller

Liu Xiangjie,Zhang Huanshui,Chai Tianyou,

自动化学报 , 1998,
Abstract: Based on Zadeh's linguistic control strategy and inference process, this paper presents an approach to the structure analysis of three-dimensional fuzzy controller. The authors analytically prove that a typical three-dimensional fuzzy controller with linear control rules is the sum of a global nonlinear controller and a local nonlinear PID-like controller. In such a way, the reasoning mechanism of three-dimensional fuzzy controller is presented and the nonlinear essence of it disclosed.
Fuzzy Logic of Speed and Steering Control System for Three Dimensional Line Following of an Autonomous Vehicle  [PDF]
Shailja Shukla,Mukesh Tiwari
Computer Science , 2010,
Abstract: ... This paper is to describe exploratory research on the design of a modular autonomous mobile robot controller. The controller incorporates a fuzzy logic [8] [9] approach for steering and speed control [37], a FL approach for ultrasound sensing and an overall expert system for guidance. The advantages of a modular system are related to portability and transportability, i.e. any vehicle can become autonomous with minimal modifications. A mobile robot test bed has been constructed in university of Cincinnati using a golf cart base. This cart has full speed control with guidance provided by a vision system and obstacle avoidance using ultrasonic sensors. The speed and steering fuzzy logic controller is supervised through a multi-axis motion controller. The obstacle avoidance system is based on a microcontroller interfaced with ultrasonic transducers. This micro-controller independently handles all timing and distance calculations and sends distance information back to the fuzzy logic controller via the serial line. This design yields a portable independent system in which high speed computer communication is not necessary. Vision guidance has been accomplished with the use of CCD cameras judging the current position of the robot.[34] [35][36] It will be generating a good image for reducing an uncertain wrong command from ground coordinate to tackle the parameter uncertainties of the system, and to obtain good WMR dynamic response.[1] Here we Apply 3D line following mythology. It transforms from 3D to 2D and also maps the image coordinates and vice versa, leading to the improved accuracy of the WMR position. ...
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