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We calculate the mean number of subjets in quark and gluon jets in the final state of e^+e^- annihilation. Since `quark' and `gluon' jets are scheme-dependent objects, we stress the importance of using the same definition as in experimental…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael H. Seymour

In some recent work, fractal curvatures C^f_k(F) and fractal curvature measures C^f_k(F, .), k = 0, ..., d, have been determined for all self-similar sets F in R^d, for which the parallel neighborhoods satisfy a certain regularity condition…

Metric Geometry · Mathematics 2010-10-12 Steffen Winter

Necessary and sufficient conditions for when every non-zero ideal in a relative Cuntz-Pimsner ring contains a non-zero graded ideal, when a relative Cuntz-Pimsner ring is simple, and when every ideal in a relative Cuntz-Pimsner ring is…

Rings and Algebras · Mathematics 2014-10-13 Toke Meier Carlsen , Eduard Ortega , Enrique Pardo

In Butler, J.Differential Geom. 39 (1):1--34,1994, the author gives a sufficient condition for a line bundle associated with a divisor D to be normally generated on $X=P(E)$ where E is a vector bundle over a smooth curve C. A line bundle…

alg-geom · Mathematics 2019-08-17 Alberto Alzati , Marina Bertolini , Gian Mario Besana

We deal with initial-boundary value problems for systems of conservation laws in one space dimension and we focus on the boundary Riemann problem. It is known that, in general, different viscous approximations provide different limits. In…

Analysis of PDEs · Mathematics 2010-07-23 Cleopatra Christoforou , Laura V. Spinolo

We give a list of equivalent conditions for reversibility of the adjoint of a unital Schwarz map with respect to a set of quantum states. A large class of such conditions is given by preservation of distinguishability measures:…

Quantum Physics · Physics 2015-05-28 Anna Jencova

Having pure samples of quark and gluon jets would greatly facilitate the study of jet properties and substructure, with many potential standard model and new physics applications. To this end, we consider multijet and jets+X samples, to…

High Energy Physics - Phenomenology · Physics 2015-05-27 Jason Gallicchio , Matthew D. Schwartz

Although the explicit commutativitiy conditions for second-order linear time-varying systems have been appeared in some literature, these are all for initially relaxed systems. This paper presents explicit necessary and sufficient…

Systems and Control · Computer Science 2020-08-13 Mehmet Emir Koksal

High-resolution Very-Long-Baseline Interferometry observations of NGC 1052 show a two sided jet with several regions of enhanced emission and a clear emission gap between the two jets.This gap shrinks with increasing frequency and vanishes…

High Energy Astrophysical Phenomena · Physics 2019-08-28 C. M. Fromm , Z. Younsi , A. Bazcko , Y. Mizuno , O. Porth , M. Perucho , H. Olivares , A. Nathanail , E. Angelakis , E. Ros , J. A. Zensus , L. Rezzolla

As most target final states for searches and measurements at the Large Hadron Collider have a particular quark/gluon composition, tools for distinguishing quark- from gluon-initiated jets can be very powerful. In addition to the difficulty…

High Energy Physics - Phenomenology · Physics 2019-04-16 Samuel Bright-Thonney , Benjamin Nachman

Let $X$ be a set and $2^X$ be a set of all subsets of $X$. The necessary and sufficient conditions under which a mapping $X \to 2^X$ is a closure of one-point sets in some $T_0$-space $(X, \tau)$ are described. It is proved that every…

General Topology · Mathematics 2025-12-02 Oleksiy Dovgoshey , Ruslan Shanin

We catalog some simple conditions which are sufficient to guarantee that R-parity survives as an unbroken gauged discrete subgroup of the continuous gauge symmetry in certain supersymmetric extensions of the standard model.

High Energy Physics - Phenomenology · Physics 2009-12-30 Stephen P. Martin

We give sufficient conditions for the essential self-adjointness of perturbed biharmonic operators acting on sections of a Hermitian vector bundle over a Riemannian manifold with additional assumptions, such as lower semi-bounded Ricci…

Analysis of PDEs · Mathematics 2020-03-18 Ognjen Milatovic , Hemanth Saratchandran

The paper concerns a new method to obtain a direct proof of the openness at linear rate/metric regularity of composite set-valued maps on metric spaces by the unification and refinement of several methods developed somehow separately in…

Functional Analysis · Mathematics 2012-10-16 Marius Durea , Van Ngai Huynh , Huu Tron Nguyen , Radu Strugariu

We construct topological recursion relations (TRR's) at higher genera $g\ge2$ for general 2-dimensional topological field theories coupled to gravity. These TRR's when combined with Virasoro conditions enable one to determine the number of…

High Energy Physics - Theory · Physics 2008-11-26 Tohru Eguchi , Chuan-Sheng Xiong

We establish two conditions equivalent to coamenability for type I locally compact quantum groups. The first condition is concerned with the spectra of certain convolution operators on the space…

Operator Algebras · Mathematics 2020-02-12 Jacek Krajczok

In this paper, we study the uniqueness of type II Yamabe metrics in conformal classes on a compact connected manifold with boundary, and we investigate Obata-type theorems for type II Yamabe metrics. In particular, we establish a theorem…

Differential Geometry · Mathematics 2025-06-24 Shota Hamanaka , Pak Tung Ho

We prove new sufficient bump conditions for general iterated commutators of Calder\'on-Zygmund operators and fractional integral operators. As an application of our results we derive two weight compactness theorems for higher order iterated…

Classical Analysis and ODEs · Mathematics 2022-10-25 Adam Mair , Kabe Moen , Yongming Wen

It is shown that the two-sided jet proper motions observed from the galactic microquasars GRS 1915+105 and GRO J1655-40 in practice only allow us to place lower limits on the Lorentz factors of the outflows. As a consequence, it is not…

Astrophysics · Physics 2009-11-07 R. P. Fender

We discuss the (first- and second-order) optimality conditions for nonlinear programming under the relaxed constant rank constraint qualification. This condition generalizes the so-called linear independence constraint qualification.…

Optimization and Control · Mathematics 2022-04-28 Ademir Alves Ribeiro , Mael Sachine