Let D be a negative discriminant, and let Θ(D) be the complex vector space generated by the binary theta series θf attached to the positive definite binary quadratic forms f(x, y) = ax + bxy + cy whose discriminant D(f) = b − 4ac equals D/t, for some integer t. It is a well-known classical fact that Θ(D) is a subspace of the space M1(|D|, ψD) of modular forms of weight 1, level |D| and Nebentyp...

Text prediction is an application of language models to mobile devices. Currently, the state of the art models use neural networks. Unfortunately, mobile devices are constrainted in both computing power and space and are thus unable to run most (if not all) neural networks. Recently, however, character-level architectures have appeared that have outperformed previous architectures for machine t...

We present an efficient implementation of a write-only topdown construction for suffix trees. Our implementation is based on a new, space-efficient representation of suffix trees which requires only 12 bytes per input character in the worst case, and 8.5 bytes per input character on average for a collection of files of different type. We show how to efficiently implement the lazy evaluation of ...

We assess the Latent Semantic Indexing (LSI) approach to Chinese information filtering. In particular, the approach is for Chinese news filtering agents that use a character-based and hierarchical filtering scheme. The traditional vector space model is employed as an information filtering model, and each document is converted into a vector of weights of terms. Instead of using words as terms in...

Any discrete (closed) binary, or Boolean, space is recursive. That is, if the outputs of functions are repeatedly forward-fed into those functions, those outputs will present themselves again for processing. That is, the full functionality of an operator reproduces itself. Each of the 16 operators, or functions, in a two variable system is a selfmaintaining (homeostatic) automaton in logical sp...

We describe a new, publicly accessible Chinese character recognition system based on a nearest neighbor classifier that utilizes a number of sophisticated techniques to improve its performance. To increase throughput, a 400dimensional feature space is compressed through multiple discriminant analysis techniques to 100 dimensions. Recognition accuracy is improved by scaling these dimensions to a...

A soil’s porosity and pore size distribution characterize its pore space, that portion of the soil’s volume that is not occupied by or isolated by solid material. The basic character of the pore space affects and is affected by critical aspects of almost everything that occurs in the soil: the movement of water, air, and other fluids; the transport and the reaction of chemicals; and the residen...

This paper presents a pilot study on students' images of the concept of vector space. Three students have been asked to model a real world situation with the mathematical tool of a vector space in interviews and have revealed two very different priorities of looking at a vector space. The part of the interviews this paper deals with is concerned with the students' general notions of the charact...

Charge transport properties of metal-molecule interfaces depend strongly on the character of molecule-electrode interactions. Although through-bond coupled systems have attracted the most attention, through-space coupling is important in molecular systems when, for example, through-bond coupling is suppressed due to quantum interference effects. To date, a probe that clearly distinguishes these...