Displaying similar documents to “A Reconstruction of Digital Parabolas from Their Least Squares Fit Representation”

Data Enhancements in a Digital Mathematical Library

Růžička, Michal, Sojka, Petr

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The quality of digital mathematical library depends on the formats and quality of data it offers. We show several enhancements of (meta)data of the Czech Digital Mathematics Library DML-CZ. We discuss possible minimalist modification of regular LaTeX documents that would simplify generating basic metadata that describes the article in an XML/MathML format. We also show a proof of concept of a method that enables us to include LaTeX source code of mathematical expressions into pdfTeX-generated...

From Pixels and Minds to the Mathematical Knowledge in a Digital Library

Sojka, Petr, Rákosník, Jiří

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Experience in setting up a workflow from scanned images of mathematical papers into a fully fledged mathematical library is described on the example of the project Czech Digital Mathematics Library DML-CZ. An overview of the whole process is given, with description of all main production steps. DML-CZ has recently been launched to public with more than 100,000 digitized pages.

Consistency of the least weighted squares under heteroscedasticity

Jan Ámos Víšek (2011)

Kybernetika

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A robust version of the Ordinary Least Squares accommodating the idea of weighting the order statistics of the squared residuals (rather than directly the squares of residuals) is recalled and its properties are studied. The existence of solution of the corresponding extremal problem and the consistency under heteroscedasticity is proved.

PDF Enhancements Tools for a Digital Library

Hatlapatka, Radim, Sojka, Petr

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This paper describes several innovative PDF document enhancements and tools that can be used when building a digital library. The main result presented in this paper is the PDF re-compression tool, developed using the jbig2enc encoder called pdfJbIm. This re-compression tool enables the size of the original bitonal PDFs to be, on average, downsized by one third. Some modifications to the jbig2enc encoder that increase the compression ratio even further are also described here. Together...