Sets and C^n; Quivers and A-D-E; Triality; Generalized Supersymmetry; and D4-D5-E6
The relation between Geisteswissenschaft and Naturwissenschaft has been discussed by Munster in hep-th/9305104. The plan of this paper is to
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About Brill Initial Data Sets and HPC
The goal of this paper is to present the physics behind Brill initial data sets as an excellent tool for
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Algebraic duality for partially ordered sets
For an arbitrary partially ordered set $P$ its {\em dual} $P^*$ is built as the collection of all monotone mappings
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All Pairs Shortest Paths using Bridging Sets and Rectangular Matrix Multiplication
We present two new algorithms for solving the {\em All Pairs Shortest Paths} (APSP) problem for weighted directed graphs. Both
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A Moment of Perfect Clarity II: Consequences of Sparse Sets Hard for NP with Respect to Weak Reductions
This paper discusses advances, due to the work of Cai, Naik, and Sivakumar and Glasser, in the complexity class collapses
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An Algebraic Quantization of Causal Sets
A scheme for an algebraic quantization of the causal sets of Sorkin et al. is presented. The suggested scenario is
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Analysis Issues for Large CMB Data Sets
Multi-frequency, high resolution, full sky measurements of the anisotropy in both temperature and polarisation of the cosmic microwave background radiation
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Analysis of approximate nearest neighbor searching with clustered point sets
We present an empirical analysis of data structures for approximate nearest neighbor searching. We compare the well-known optimized kd-tree splitting
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A New Approach to Quantising Space-Time: II. Quantising on a Category of Sets
In a recent paper by the author, a new approach was suggested for quantising space-time, or space. This involved developing
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Answer Sets for Consistent Query Answering in Inconsistent Databases
A relational database is inconsistent if it does not satisfy a given set of integrity constraints. Nevertheless, it is likely
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A simple C++ library for manipulating scientific data sets as structured data
Representing scientific data sets efficiently on external storage usually involves converting them to a byte string representation using specialized reader/writer
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A uniform approach to constraint-solving for lists, multisets, compact lists, and sets
Lists, multisets, and sets are well-known data structures whose usefulness is widely recognized in various areas of Computer Science. These
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Causal Sets, a Possible Interpretation for the Black Hole Entropy,and Related Topics
The Causal Set hypothesis asserts that spacetime, ultimately, is discrete and its underlying structure is that of a locally finite
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Causal Sets: Discrete Gravity (Notes for the Valdivia Summer School)
These are lecture notes on causal set theory prepared in Jan. 2002 for a Summer School in Valdivia, Chile. In
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CLAIRE: Combining Sets, Search And Rules To Better Express Algorithms
This paper presents a programming language which includes paradigms that are usually associated with declarative languages, such as sets, rules
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Compact, orthogonal, and complete basis sets for solving the Schrodinger equation
We present a new type of basis set which is local, compact, and orthogonal. The basis functions, called orthlets, are
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Computing largest circles separating two sets of segments
A circle $C$ separates two planar sets if it encloses one of the sets and its open interior disk does
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Computing minimal models, stable models and answer sets
We propose and study algorithms to compute minimal models, stable models and answer sets of t-CNF theories, and normal and
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Continuous images of sets of reals
We will show that, consistently, every uncountable set can be continuously mapped onto a non measure zero set, while there
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Cover Schemes, Frame-Valued Sets and Their Potential Uses in Spacetime Physics
The immensely fruitful concept of Grothendieck topology or covering issued from the efforts of algebraic geometers to study "sheaf-like" objects
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Defining Rough Sets by Extended Logic Programs
We show how definite extended logic programs can be used for defining and reasoning with rough sets. Moreover, a rough-set-specific
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Dense point sets have sparse Delaunay triangulations
The spread of a finite set of points is the ratio between the longest and shortest pairwise distances. We prove
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Dynamic Ordered Sets with Exponential Search Trees
We introduce exponential search trees as a novel technique for converting static polynomial space search structures for ordered sets into
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Dynamics of Causal Sets
The Causal Set approach to quantum gravity asserts that spacetime, at its smallest length scale, has a discrete structure. This
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