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Rational Tracer (Ratracer) is a tool to simplify complicated arithmetic expressions using modular arithmetics and rational function reconstruction, with the main idea of separating the construction of expressions (via tracing, i.e.…

Data Analysis, Statistics and Probability · Physics 2022-11-08 Vitaly Magerya

This paper presents a novel approach to visual tracking: Similarity Matching Ratio (SMR). The traditional approach of tracking is minimizing some measures of the difference between the template and a patch from the frame. This approach is…

Computer Vision and Pattern Recognition · Computer Science 2012-09-13 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello

In this paper, we present and analyze methods for solving a system of linear equations over idempotent semifields. The first method is based on the pseudo-inverse of the system matrix. We then present a specific version of Cramer's rule…

Commutative Algebra · Mathematics 2019-06-25 Fateme Olia , Shaban Ghalandarzadeh , Amirhossein Amiraslani , Sedighe Jamshidvand

The stability of scalar quintessence potentials under quantum fluctuations is investigated both for uncoupled models and models with a coupling to fermions. We find that uncoupled models are usually stable in the late universe. However, a…

Astrophysics · Physics 2007-05-23 Michael Doran , Joerg Jaeckel

The paper focuses on a classical tracking model, subspace learning, grounded on the fact that the targets in successive frames are considered to reside in a low-dimensional subspace or manifold due to the similarity in their appearances. In…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Yao Sui , Guanghui Wang , Li Zhang

The equivalence between $f(R)$ and scalar-tensor theories is revisited, we consequently explored different $f(R)$ models. After consideration of specific definition of the scalar field, we derived the potentials $V(\phi)$ for each $f(R)$…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Beatrice Murorunkwere , Fidele Twagirayezu , Albert Munyeshyaka , Joseph Ntahompagaze , Abraham Ayirwanda

The stability of scalar quintessence potentials under quantum fluctuations is investigated for both uncoupled models and models with a coupling to fermions. We find that uncoupled models are usually stable in the late universe. However, the…

Astrophysics · Physics 2009-11-07 M. Doran , J. Jaeckel

We analyze the dynamics of a single scalar field in Friedmann-Robertson-Walker universes with spatial curvature. We obtain the fixed point solutions which are shown to be late time attractors. In particular, we determine the corresponding…

Cosmology and Nongalactic Astrophysics · Physics 2009-07-30 Edmund J. Copeland , Shuntaro Mizuno , Maryam Shaeri

Recent works in multiple object tracking use sequence model to calculate the similarity score between the detections and the previous tracklets. However, the forced exposure to ground-truth in the training stage leads to the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Tao Hu , Lichao Huang , Han Shen

The minimal supergravity model (SUGRA), with gauge coupling unification and radiative electroweak symmetry breaking, is a well-motivated paradigm for physics Beyond the Standard Model. In this talk, I review the capabilities of various…

High Energy Physics - Phenomenology · Physics 2016-09-01 Howard Baer

A unified approach to quintessence and inflation is investigated with the use of a single scalar field. It is argued that successful potentials have to approximate a combination of exponential and inverse power-law decline in the limit of…

Astrophysics · Physics 2007-05-23 Konstantinos Dimopoulos

We simulate the electrical response of multiple disjoint biological 3D cells undergoing an electropermeabilization process. Instead of solving the boundary value problem in the unbounded volume, we reduce it to a system of boundary…

Computational Engineering, Finance, and Science · Computer Science 2024-09-04 Isabel A. Martínez Ávila , Carlos Jerez-Hanckes , Irina Pettersson

The post-Newtonian parameter $\gamma$ resulting from a universal scalar/matter coupling is investigated in Brans-Dicke-like Scalar-Tensor theories where the scalar potential is assumed to be negligible. Conversely to previous studies, we…

General Relativity and Quantum Cosmology · Physics 2013-05-09 Olivier Minazzoli

We compute the spectra of the adjacency matrices of the semi-regular polytopes. A few different techniques are employed: the most sophisticated, which relates the 1-skeleton of the polytope to a Cayley graph, is based on methods akin to…

Combinatorics · Mathematics 2007-05-23 Nicolau C. Saldanha , Carlos Tomei

We present a dark energy model with a double exponential potential for a minimally coupled scalar field, which allows general exact integration of the cosmological equations. The solution can perfectly emulate a $\Lambda$-term model at…

Astrophysics · Physics 2008-11-26 C. Rubano , P. Scudellaro , E. Piedipalumbo , S. Capozziello

The classical gravitational theory of a scalar field with a gradient coupling to the Ricci tensor is examined. This is a scalar-vector-tensor gravitational theory, but in the case that the coupling is weak and the scalar evolves like a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Scott F. Daniel , Robert R. Caldwell

We consider a tracer particle coupled to a Bose scalar field and study the regime where the field's propagation speed approaches infinity. For initial states devoid of field excitations, we introduce an effective approximation of the…

Mathematical Physics · Physics 2024-07-02 Esteban Cárdenas , David Mitrouskas

The separability and Runge-Lenz-type dynamical symmetry of the internal dynamics of certain two-electron Quantum Dots, found by Simonovi\'c et al. [1], is traced back to that of the perturbed Kepler problem. A large class of axially…

High Energy Physics - Theory · Physics 2015-06-16 P. -M. Zhang , L. -P. Zou , P. A. Horvathy , G. W. Gibbons

This pedagogical review is devoted to quintessential inflation, which refers to unification of inflation and dark energy using a single scalar field. We present a brief but concise description of the concepts needed to join the two ends,…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Md. Wali Hossain , R. Myrzakulov , M. Sami , Emmanuel N. Saridakis

We explore the scalar field quintessence freezing model of dark energy with the inverse Ratra-Peebles potential. We study the cosmic expansion and the large scale structure growth rate. We use recent measurements of the growth rate and the…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-19 Olga Avsajanishvili , Lado Samushia , Natalia A. Arkhipova , Tina Kahniashvili
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