We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (u...

In this note we provide proofs of various expressions for expectation values symmetric polynomials in \beta ? -deformed eigenvalue models with quadratic, linear, and logarithmic potentials. The relations derive are also referred to as superintegrability. Our work completes superintegrability st...

In these Lectures a method is described to analyze the effect of quantum fluctuations on topological defect backgrounds up to the one-loop level. The method is based on the spectral heat kernel/zeta function regularization procedure, and it is first applied to various types of kinks arising in several deformed linear and non-linear sigma models with different numbers of scalar fields. In the se...

Non-linear elasticity theory may be used to calculate the coordinates of a deformed body when the coordinates of the undeformed, stress-free body are known. In some situations, such as one of the steps in the location of tumours in a breast, the coordinates of the deformed body are known and the coordinates of the undeformed body are to be calculated, i.e. we require the solution of the inverse...

* Corresponding Author i Authors are with the Control and Intelligent Processing Center of Excellence, School of Electrical and Computer Engineering, University of Tehran, P.O. Box 14395/515, Tehran 14395, Iran. tel: 0098-21-82084904, fax: 0098-21-88778690, (emails: [email protected], [email protected], lucas@ ut.ac.ir) Babak N. Araabi and Caro Lucas are also with the School of Cognitive Sciences,...

BACKGROUND Pre-operative imaging devices generate high-resolution images but intra-operative imaging devices generate low-resolution images. To use high-resolution pre-operative images during surgery, they must be deformed to reflect intra-operative geometry of brain. METHODS We employ biomechanical models, guided by low resolution intra-operative images, to determine location of normal and a...

We describe, in an algebraic way, the $\kappa$-deformed extended Snyder models, that depend on three parameters $\beta, \kappa$ and $\lambda$, which a suitable algebra basis are described by de Sitter algebras ${o}(1,N)$. The commutation relations of contain parameter is used for calculations perturbative expansions. For such models we consider Heisenberg double with dual generalized momenta se...

The data presented in this article relates to the research article, "Evidence of Varroa-mediated Deformed Wing virus spillover in Hawaii" (Santamaria et al., 2017) [3]. The article presents data collected throughout August 2014 to November 2015, on the two Hawaiian Islands of Oahu and Maui. Apis and non-Apis specimens - a total of four species - were collected and tested for Deformed Wing virus...