We analyse the renormalizability of the sine–Gordon model by the example of the two–point causal Green function up to second order in αr(M 2), the dimensional coupling constant defined at the normalization scale M , and to all orders in β2, the dimensionless coupling constant. We show that all divergences can be removed by the renormalization of the dimensional coupling constant using the renor...

Certain supersymmetric elementary string states with spin can be viewed as small black rings whose horizon has the topology of S 1 × S d−3 in a d-dimensional string theory. By analyzing the singular black ring solution in the supergravity approximation, and using various symmetries of the α ′ corrected effective action we argue that the Bekenstein-Hawking-Wald entropy of the black string soluti...

We describe constraints on the " standard " 9 parameter open cold dark matter (CDM) model from the most recent CMB and SN1a data. Our parameters are the densities of CDM, baryons, vacuum energy and curvature, the reionization optical depth, and the normalization and tilt for both scalar and tensor fluctuations. We find that although the possibility of reionization and gravity waves substantiall...

Every day, Twitter users generate vast quantities of potentially useful information in the form of written language. Due to Twitter’s frequently informal tone, text normalization can be a crucial element for exploiting that information. This paper outlines our approach to text normalization used in the WNUT shared task. We show that a very simple solution, powered by a modestly sized, partially...

We show that the cut-elimination for LKT, as presented in Danos et al.(1993), simulates the normalization for classical natural deduction(CND). Particularly, the denotation for CND inherits the one for LKT. Moreover the transform from CND proof (i.e., Parigot's -term) to LKT proof can be considered as a classical extension to call-by-name (CBN) CPS-transform.

In this study, we provide mathematical and practice-driven justification for using [0,1] normalization of inconsistency indicators in pairwise comparisons. The need for normalization, as well as problems with the lack of normalization, are presented. A new type of paradox of infinity is described.

In image registration or matching, the feature extracted by using traditional methods does not include depth information which may lead to a mismatch of keypoints. this paper, we prove that when camera moves, ratio difference keypoint and its neighbor pixel before after movement approximates constant. That means normalization is invariant movement. Based on property, all differences pixels cons...

Brouwer GJ, Arnedo V, Offen S, Heeger DJ, Grant AC. Normalization in human somatosensory cortex. J Neurophysiol 114: 2588–2599, 2015. First published August 26, 2015; doi:10.1152/jn.00939.2014.— Functional magnetic resonance imaging (fMRI) was used to measure activity in human somatosensory cortex and to test for cross-digit suppression. Subjects received stimulation (vibration of varying ampli...

We analyse a randomly growing graph model in which the average degree is asymptotically equal to constant times square root of number vertices, and clustering coefficient rather small. In every step, we choose two vertices uniformly at random, check whether they are connected or not, either add new edge delete one vertex graph. This dependence on status connection chosen makes total random afte...