We consider (generalized) Kolakoski sequences on an alphabet with two even numbers. They can be related to a primitive substitution rule of constant length l. Using this connection, we prove that they have pure point dynamical and pure point diffractive spectrum, where we make use of the strong interplay between these two concepts. Since these sequences can then be described as model sets with ...

Abstract This paper presents a general expression for a number-theoretic Hilbert transform (NHT). The transformations preserve the circulant nature of the discrete Hilbert transform (DHT) matrix together with alternating values in each row being zero and non-zero. Specific examples for 4point, 6-point, and 8-point NHT are provided. The NHT transformation can be used as a primitive to create cry...

We present a point-cloud compression algorithm that allows fast parallel decompression on the GPU for interactive applications. We achieve bitrates of less than four bits per normal-equipped point. Our method enables holefree level-of-detail point rendering. We also show that using only up to two bits per point, high-quality renderings can still be obtained if normals are estimated in image-spa...

We consider the problem of classifying all finite basis-transitive matroids and reduce it to the classification of the finite basis-transitive and point-primitive simple matroids (or geometric lattices, or dimensional linear spaces). Our main result shows how a basisand point-transitive simple matroid is decomposed into a so-called supersum. In particular each block of imprimitivity bears the s...

one of the most important characteristics of the eternal religion is the adaptation of its decrees with the changes of the human’s life in the transition of time. so, it is necessary for us to review the second decrees as the flexible dimensions of the decrees. according to the causes of some decrees’ change, altering the decree’s subject leads to the change of the primitive decrees into the se...

The smoothing estimation problem for the intensity process of a doubly stochastic multichannel Poisson process is investigated. Recursive procedures for the efficient computation of the fixed-point as well as the fixed-interval smoothing estimators of the intensity process are designed. The only hypothesis imposed is that the covariance function of the intensity process is finite-dimensional an...

The primitive equations of large-scale oceanic dynamics form a fundamental model in geophysical flows. It is well-known that the can be formally derived by hydrostatic approximation. In this paper, we rigorously derive full from mathematical point view. More precisely, prove scaled Boussinesq with rotation converge to strong sense, globally time, convergence rate $$O(\varepsilon )$$ , as aspect...

This paper describes a mathematical theory of “co-design”, in which the objects of investigation are “design problems”, defined as tuples of “functionality space”, “implementation space”, and “resources space”, together with a feasibility relation. “Monotone” design problems are those for which functionality and resources are partially ordered and related by an order-preserving map. This condit...