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arxiv.org/abs/1906.11690v1

Towards a taxonomy of atlases and of morphisms between them

Manifolds and fiber bundles, while superficially different, have strong parallels; in particular, they are both defined in terms of equivalence classes of atlases or in terms of maximal atlases, with the atlases treated as mere adjuncts. This paper p...

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arxiv.org/abs/1101.2964v1

Binary trees and number of states in buddy systems

In the paper are computed: the number of binary trees with n nodes and k leaves; the number of leaves in the set of all binary trees with n nodes. These are used to compute the number of states in the buddy system....

arxiv.org/abs/1307.1482v1

Towards Combining HTN Planning and Geometric Task Planning

In this paper we present an interface between a symbolic planner and a geometric task planner, which is different to a standard trajectory planner in that the former is able to perform geometric reasoning on abstract entities---tasks. We believe that...

arxiv.org/abs/1307.5540v2

On the Pricing of Storable Commodities

This paper introduces an information-based model for the pricing of storable commodities such as crude oil and natural gas. The model uses the concept of market information about future supply and demand as a basis for valuation. Physical ownership o...

arxiv.org/abs/1808.00391v1

Efficient Progressive Neural Architecture Search

This paper addresses the difficult problem of finding an optimal neural architecture design for a given image classification task. We propose a method that aggregates two main results of the previous state-of-the-art in neural architecture search. Th...

arxiv.org/abs/2309.11631v2

Regularity functions of powers of graded ideals

This paper studies the problem of which sequences of non-negative integers arise as the functions $\operatorname{reg} I^{n-1}/I^n$, $\operatorname{reg} R/I^n$, $\operatorname{reg} I^n$ for an ideal $I$ generated by forms of degree $d$ in a standard g...

arxiv.org/abs/math/0311300v1

Borel-fixed ideals and reduction number

The aim of this paper is to study the relationship between reduction numbers and Borel-fixed ideals in all characteristics. By definition, Borel-fixed ideals are closed under certain specializations which is similar to the strong stability. We will...

arxiv.org/abs/1408.0725v1

Hidden in snow, revealed in thaw: Cold boot attacks revisited

In this paper, we will provide an overview of the current state-of-the-art with regards to so-called cold boot attacks, their practical applicability and feasibility, potential counter-measures and their effectiveness....