Spatial scaling – the ability to transform distance information from one space to another space of different size – constitutes an integral aspect of many spatial tasks that involve different representational systems or symbol-to-referent correspondences (e.g., map reading, navigation, drawing, etc.). It potentially also bears relevance to physical, geometrical or mathematical reasoning, which ...

In [7], a notion of noncommutative tangent space is associated with a conical pseudomanifold and the Poincaré duality in K-theory is proved between this space and the pseudomanifold. The present paper continues this work. We show that an appropriate presentation of the notion of symbols on a manifold generalizes right away to conical pseudomanifolds and that it enables us to interpret the Poinc...

We prove that the property of excision in algebraic K-theory is for a Q-algebra A equivalent to the H-unitality of the latter. Our excision theorem, in particular, implies Karoubi's conjecture on the equality of algebraic and topological K-theory groups of stable C*-algebras. It also allows us to identify the algebraic K-theory of the symbol map in the theory of pseudodifferential operators.

In this paper, two novel maximum a posteriori (MAP) estimators for the decoding of arithmetic codes in the presence of transmission errors are presented. Trellis search techniques and a forbidden symbol are employed to obtain forward error correction. The proposed system is applied to lossless image compression and transmission across the BSC; the results are compared in terms of both performan...

Abstract. The goal of this paper is to construct the p-adic analytic family of overconvergent half-integral weight modular forms using Hecke-equivariant overconvergent Shintani lifting. The classical Shintani map(see [Shn]) is the Hecke-equivariant map from the space of cusp forms of integral weight to the space of cusp forms of half-integral weight. Glenn Stevens proved in [St1] that there is ...

In this paper, a new method to estimate the parameter for turbo decoding using the maximum a posteriori probability (MAP) algorithm is proposed for a turbo code in a Rayleigh fading channel with imperfect channel estimation. This parameter is called the channel reliability factor and is related with the channel SNR. For channel estimation, pilot symbol assisted modulation (PSAM) is used and the...

This study is oriented towards machine autonomous mapping and the need to improve efficiency of map point symbol recognition configuration. Therefore, an intelligent method for symbols was developed using You Only Look Once Version 3 (YOLOv3) algorithm along with Convolutional Block Attention Module (CBAM). Then, results were associated interest (POI) achieve automatic To quantitatively analyze...

Humans create internal models of an environment (i.e. cognitive maps) through subjective sensorimotor experiences and can also understand spatial locations by looking at external map as a symbol environment. We simulate the development from grounding in single deep neural network model. Our proposed has shared module that processes features multiple modalities vision, hearing, touch) even maps ...

The Atiyah-Singer index theorem gives a topological formula for the index of an elliptic differential operator. The topological index depends on a cohomology class that is constructed from the principal symbol of the operator. On contact manifolds, the important Fredholm operators are not elliptic, but hypoelliptic. Their symbolic calculus is noncommutative, and is closely related to analysis o...

Substitution ciphers are among the earliest methods of encryption. Examples of classic substitution ciphers include the well-known simple substitution and the less well-known homophonic substitution. Simple substitution ciphers are indeed simple, both in terms of their use and their cryptanalysis. Homophonic substitutions—in which a plaintext symbol can map to more than one ciphertext symbol—ar...