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Built-in Data Structures
Julia comes with many useful, built-in data structures that cover many requirements of general-purpose programming. In this chapter, the most...
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Data Structures for SMEM-Finding in the PBWT
The positional Burrows–Wheeler Transform (PBWT) was presented as a means to find set-maximal exact matches (SMEMs) in haplotype data via the...
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Syntactic Structures and the General Markov Models
We study phylogenetic signal present in syntactic information by considering the syntactic structures data from Longobardi (Linguist Anal 41:517–557,...
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Algebraic Structures and Social Processes
There has long been an interest among social scientists in the use of algebraic structures to analyze social data. Many popular approaches are...
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Data structures for speeding up Tabu Search when solving sparse quadratic unconstrained binary optimization problems
The quadratic unconstrained binary optimization (
QUBO ) problem belongs to the NP-hard complexity class of problems and has been the subject of...
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Languages, Structures, and Theories
We introduce the fundamental concepts of mathematical logic: languages, structures, satisfaction, theories, logical consequences, and definable sets.
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From complex contact structures to real almost contact 3-structures
We prove that every complex contact structure gives rise to a distinguished type of almost contact metric 3-structure. As an application, we provide...
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The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures
Right triangulated categories can be thought of as triangulated categories whose shift functor is not an equivalence. We give intrinsic...
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Poisson Structures on Trivial Extension Algebras
We present a class of Poisson structures on trivial extension algebras which generalizes some known structures induced by Poisson modules. We show...
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Information Structures in Decentralized Stochastic Control
In Chap. 2 , we introduced stochastic team decision problems with static and dynamic information...
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Classes of Algebraic Structures
This paper is a survey of some topics in computable structure theory, illustrating the power of certain infinitary sentences to describe mathematical...
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Comparison of Reproduction of Spatiotemporal Structures of Traffic Flows Using Various Ways of Averaging Data
AbstractThis study is devoted to the approbation of a two-dimensional microscopic model of vehicle traffic created by the authors based on the theory...
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Rigidity of geometric structures
Geometric structures on a manifold M arise from a covering of M by charts with values in a homogeneous space G / H , with chart transitions restrictions...
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Conelike radiant structures
Analogues of the classical affine-projective correspondence are developed in the context of statistical manifolds compatible with a radiant vector...
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Engineering Compact Data Structures for Rank and Select Queries on Bit Vectors
Bit vectors are fundamental building blocks of succinct data structures used in compressed text indices, e.g., in the form of the wavelet trees....
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Boundary Rigidity, and Non-Rigidity, of Projective Structures
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected smooth...
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Harmonic flow of geometric structures
We give a twistorial interpretation of geometric structures on a Riemannian manifold, as sections of homogeneous fibre bundles, following an original...
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User Defined Data Structures and the Type System
Data types defined by the programmer are indistinguishable from built-in types in Julia. In this chapter, it is first explained how variables and...
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Learning Families of Algebraic Structures from Text
We adapt the classical notion of learning from text to computable structure theory. Our main result is a model-theoretic characterization of the...
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Entropy Modeling of Network Structures
AbstractCurrently, entropy is quite often used to describe complex systems in various fields. The questions of using differential entropy for...
