393 research outputs found
ANCILLARY PROGRAMS OF A NUCLEAR SPECTROMETRIC PROGRAM PACKAGE CLOSELY RELATED TO EXPERIMENTAL ANALYSIS
Distances sets that are a shift of the integers and Fourier basis for planar convex sets
The aim of this paper is to prove that if a planar set has a difference
set satisfying for suitable than
has at most 3 elements. This result is motivated by the conjecture that the
disk has not more than 3 orthogonal exponentials. Further, we prove that if
is a set of exponentials mutually orthogonal with respect to any symmetric
convex set in the plane with a smooth boundary and everywhere non-vanishing
curvature, then # (A \cap {[-q,q]}^2) \leq C(K) q where is a constant
depending only on . This extends and clarifies in the plane the result of
Iosevich and Rudnev. As a corollary, we obtain the result from \cite{IKP01} and
\cite{IKT01} that if is a centrally symmetric convex body with a smooth
boundary and non-vanishing curvature, then does not possess an
orthogonal basis of exponentials
On the directions determined by a Cartesian product in an affine Galois plane
We prove that the number of directions contained in a set of the form , where is prime, is at least . Here and are subsets of each with at
least two elements and . This bound is tight for an infinite class
of examples. Our main tool is the use of the R\'edei polynomial with
Sz\H{o}nyi's extension. As an application of our main result, we obtain an
upper bound on the clique number of a Paley graph, matching the current best
bound obtained recently by Hanson and Petridis.Comment: 8 page
Matching structure and bargaining outcomes in buyerâseller networks
We examine the relationship between the matching structure of a bipartite (buyer-seller) network and the (expected) shares of the unit surplus that each connected pair in this network can create. We show that in different bargaining environments, these shares are closely related to the Gallai-Edmonds Structure Theorem. This theorem characterizes the structure of maximum matchings in an undirected graph. We show that the relationship between the (expected) shares and the tructure Theorem is not an artefact of a particular bargaining mechanism or trade centralization. However, this relationship does not necessarily generalize to non-bipartite networks or to networks with heterogeneous link values
EXPERIENCES IN THE RADIOCHEMICAL ANALYSIS OF THE PRIMARY COOLANT OF WWER TYPE NPPs USING INORGANIC ION EXCHANGERS
Citizen surveil-labour: Analysing Crime Stoppers and its alliance of police, media, and publics
The Szemeredi-Trotter Theorem in the Complex Plane
It is shown that points and lines in the complex Euclidean plane
determine point-line incidences. This
bound is the best possible, and it generalizes the celebrated theorem by
Szemer\'edi and Trotter about point-line incidences in the real Euclidean plane
.Comment: 24 pages, 5 figures, to appear in Combinatoric
- âŠ