This paper contains the generalization of the Feigin-Stoyanovsky construction to all integrable sl r+1-modules. We give formulas for the q-characters of any highest-weight integrable module of sl r+1 as a linear combination of the fermionic q-characters of the fusion products of a special set of integrable modules. The coefficients in the sum are the entries of the inverse matrix of generalized...

We investigate in this paper the combination of DBN (Dynamic Bayesian Network) classifiers, either independent or coupled, for the recognition of degraded characters. The independent classifiers are a vertical HMM and a horizontal HMM whose observable outputs are the image columns and the image rows respectively. The coupled classifiers, presented in a previous study,1 associate the vertical an...

Highly accurate optical character recognition (OCR) of handwritten characters is still a challenging task, especially for languages like Chinese and Japanese. To improve the accuracy, we developed four techniques for enhanced recognition: character recognition based on modified linear discriminant analysis (MLDA), subspace-based similar-character discrimination, multi-classifier combination, an...

I realize now that I am starting to be sloppy about notation for divisors and their corresponding invertible sheaves. For example, roman characters usually refer to divisors, e.g. D, and calligraphic characters usually refer to sheaves. The main cause of confusion is that we use additive notation for divisors, and multiplicative notation for sheaves. I’ll likely continue this confusion, so plea...

The Chinese language is based on characters which are syllabic in nature. Since languages have syllabotactic rules which govern the construction of syllables and their allowed sequences, Chinese character sequence models can be used as a first level approximation of allowed syllable sequences. N -gram character sequence models were trained on 4.3 billion characters. Characters are used as a fir...

As a kind of pictographic character, Naxi pictographs character has received little academic attention. Proposing dimension reduction method of Naxi pictographs characters on the basis of LDA (Linear Discriminant Analysis), this paper thus makes an in-depth study of feature dimension reduction, an important issue in the recognition of Naxi pictographs characters. By constructing a recognition s...

The popular Disney Princess line includes nine films (e.g., Snow White, Beauty and the Beast) and over 25,000 marketable products. Gender role depictions of the prince and princess characters were examined with a focus on their behavioral characteristics and climactic outcomes in the films. Results suggest that the prince and princess characters differ in their portrayal of traditionally mascul...

This paper concerns character sheaves of connected reductive algebraic groups defined over non-Archimedean local fields and their relation with characters of smooth representations. Although character sheaves were devised with characters of representations of finite groups of Lie type in mind, character sheaves are perfectly well defined for reductive algebraic groups over any algebraically clo...

In recent years, there are a considerable number of new immigrants in Taiwan. Although these people are in the good position to learn Chinese, the advantages are limited to speaking and listening. Recognizing Chinese characters is a tough task since one has to memorize the shape, meaning and pronunciation at the same time. Therefore, the cost of learning a single character is relatively high co...

One of the main advantages of computers or games consoles over other entertainment media is that they provide the user with a means to interact with the system. Video games as an entertainment medium provide an excellent opportunity to tell a truly interactive story in which the players actions and interactions with non-player characters affect the entire development and structure of the story....