We compute both natural and smooth models for the SL2(C) character varieties of the two component double twist links, an infinite family of two-bridge links indexed as J(k, l). For each J(k, l), the component(s) of the character variety containing characters of irreducible representations are birational to a surface of the form C × C where C is a curve. The same is true of the canonical compone...

We investigate social networks of characters found in cultural works such as novels and films. These character networks exhibit many of the properties of complex networks such as skewed degree distribution and community structure, but may be of relatively small order with a high multiplicity of edges. Building on recent work of [4], we consider graph extraction, visualization, and network stati...

In this note, we establish a connection between the dynamical degree, or algebraic entropy of a certain class of polynomial automorphisms of R3, and the maximum topological entropy of the action when restricted to compact invariant subvarieties. Indeed, when there is no cancellation of leading terms in the successive iterates of the polynomial automorphism, the two quantities are equal. In gene...

Some statistical properties of a network of two-Chinese-character compound words in Japanese language are reported. In this network, a node represents a Chinese character and an edge represents a two-Chinese-character compound word. It is found that this network has properties of “small-world” and “scale-free.” A network formed by only Chinese characters for common use (joyo-kanji in Japanese),...

Psychological data suggest that internal representations such as mental images can be used as templates in visual pattern recognition. But computational studies suggest that traditional template matching is insufficient for high-accuracy recognition of real-life patterns such as handwritten characters. Here we explore a model for visual pattern recognition that combines a template-matching and ...

This paper introduces a new approach to solve the Chinese Pinyin-to-character (PTC) conversion problem. The conversion from Chinese Pinyin to Chinese character can be regarded as a transformation between two different languages (from the Latin writing system of Chinese Pinyin to the character form of Chinese,Hanzi), which can be naturally solved by machine translation framework. PTC problem is ...

Character sums over finite fields have been widely studied since Gauss. During the last decade, coding theorists initiated the study of a new type of sums, over points with coordinates in a p-adic field. Let O (u) m be the ring of integers of Q p(ζpm−1), the unramified extension of degree m of the field of p-adic numbers Q p obtained by adjoining the (p−1)-th roots of unity, Tm = T ∗ m∪{0}, whe...

Psychological data suggest that internal representations such as mental images can be used as templates in visual pattern recognition. But computational studies suggest that traditional template matching is insufficient for high-accuracy recognition of real-life patterns such as handwritten characters. Here we explore a model for visual pattern recognition that combines a template-matching and ...

abstract this study aims to examine the use of religion heritage and application of the prophet job’s character mask. one of the important masks that have been used by contemporary poets is the prophet’s masks, especially the job of which the story exists in the quran. this character is a symbol of patience. darvish and sayyab are the most important poets who used the mask of this character.  e...