A sharp Rogers and Shephard inequality for the p-difference body of planar convex bodies
C Bianchini, A Colesanti - Proceedings of the American Mathematical …, 2008 - JSTOR
… MR2213713 (2007a:52010) [5] _, Volume inequalities for Lp-zonotopes, Mathematika 53
(2006), 71-80. MR2304053 (2007m:52011) …
(2006), 71-80. MR2304053 (2007m:52011) …
The Tutte Polynomial of a Morphism of Matroids 6. A Multi-Faceted Counting Formula for Hyperplane Regions and Acyclic Orientations
ML Vergnas - arXiv preprint arXiv:1205.5424, 2012 - arxiv.org
We show that the 4-variable generating function of certain orientation related parameters of
an ordered oriented matroid is the evaluation at (x + u, y+v) of its Tutte polynomial. This …
an ordered oriented matroid is the evaluation at (x + u, y+v) of its Tutte polynomial. This …
Subspace embeddings for the L1-norm with applications
C Sohler, DP Woodruff - Proceedings of the forty-third annual ACM …, 2011 - dl.acm.org
We show there is a distribution over linear mappings R: l 1 n-> l 1 O (d log d), such that with
arbitrarily large constant probability, for any fixed d-dimensional subspace L, for all x∈ L we …
arbitrarily large constant probability, for any fixed d-dimensional subspace L, for all x∈ L we …
Extensible multi‐primary control sequences
P Centore, MH Brill - Journal of the Society for Information …, 2012 - Wiley Online Library
In a display with more than three primaries (called a multi‐primary display), a color can be
expressed as multiple combinations (called control sequences) of primaries. This paper …
expressed as multiple combinations (called control sequences) of primaries. This paper …
Sampling-based falsification and verification of controllers for continuous dynamic systems
P Cheng, V Kumar - The International Journal of Robotics …, 2008 - journals.sagepub.com
In this paper, we present a sampling-based verification algorithm for embedded robotic
systems with continuous dynamics and uncertainty due to adversaries, unmodeled disturbance …
systems with continuous dynamics and uncertainty due to adversaries, unmodeled disturbance …
Properties of faces of parallelohedra
NP Dolbilin - Proceedings of the Steklov Institute of Mathematics, 2009 - Springer
We consider an important class of polytopes, called parallelohedra, that tile the Euclidean
space. The concepts of a standard face of a parallelohedron and of the index of a face are …
space. The concepts of a standard face of a parallelohedron and of the index of a face are …
[HTML][HTML] Separating theorem of samples in Banach space for support vector machine learning
Q He, C Wu - International Journal of Machine Learning and …, 2011 - Springer
The theory of machine learning in Banach space is a new research topic and has drawn
much attention in recent years. The theoretical foundation of this topic is that under what …
much attention in recent years. The theoretical foundation of this topic is that under what …
Random embedding of into
O Friedland, O Guédon - Mathematische Annalen, 2011 - Springer
For any 0 < p < 2 and any natural numbers N > n, we give an explicit definition of a random
operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \…
operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \…
[HTML][HTML] Set membership experimental design for biological systems
SW Marvel, CM Williams - BMC systems biology, 2012 - bmcsystbiol.biomedcentral.com
Experimental design approaches for biological systems are needed to help conserve the
limited resources that are allocated for performing experiments. The assumptions used when …
limited resources that are allocated for performing experiments. The assumptions used when …
Spherical basis functions and uniform distribution of points on spheres
X Sun, Z Chen - Journal of approximation theory, 2008 - Elsevier
The main purpose of the present paper is to employ spherical basis functions (SBFs) to study
uniform distribution of points on spheres. We extend Weyl's criterion for uniform distribution …
uniform distribution of points on spheres. We extend Weyl's criterion for uniform distribution …