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Involutive birational transformations of arbitrary complexity in Euclidean spaces
Abstract. A broad family of involutive birational transformations of an open dense subset of Rn onto itself is constructed explicitly. Examples with arbitrarily high complexity are presented. Construction of birational transformations
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Broadband Invisibility by Non-Euclidean Cloaking
Invisibility is an application of transformation optics where the material of a device performs a coordinate transformation for electromagnetic fields. The device for invisibility require materials with extreme properties. We show t...
BH - Optika, masery a lasery
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Moore-Penrose Biorthogonal Systems in Euclidean Spaces.
We present a simple approach to a transformation in a Euclidean space based on the Moore-Penrose generalized inverse.
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Approximation of Euclidean Distance between Point from Ellipse
Euclidean distance, we propose an approximation measure. We first find transformationEfficient computation of Euclidean distance between point and ellipse is needed in many computer vision problems. The true Euclidean<...
JD - Využití počítačů, robotika a její aplikace
- 2005 •
- O
Rok uplatnění
O - Ostatní výsledky
Invisibility cloaking without superluminal propagation
Conventional cloaking based on Euclidean transformation optics requires that the speed of light should tend to infinity on the inner surface of the cloak. Non-Euclidean cloaking still needs media with superluminal propagati...
BH - Optika, masery a lasery
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Low Degree Euclidean and Minkowski Pythagorean Hodograph Curves
) curves in the Euclidean and Minkowski planes. We analyze their control polygons. In the case of Euclidean cubics the conditions are known and we provide a new proof of planes. Moreover, we introduce the new notion of the preimage ...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Invisibility devices
Different types of optical cloaks were introduced. The non-Euclidean cloak was described in detail.
BH - Optika, masery a lasery
- 2009 •
- O
Rok uplatnění
O - Ostatní výsledky
Metric Embedding into the Hamming Space with the n-Simplex Projection
metric objects into a low-dimensional Euclidean space, and then transform this spaceTransformations of data objects into the Hamming space are often exploited. However, when searching in common Euclidean space, th...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Minimality in iterative systems of Mobius transformations
We study the parameter space of an iterative system consisting of two hyperbolic disc Mobius transformations. We identify several classes of parameters which yield discrete groups whose fundamental polygons have sides at the Euclidean
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The bivariate statistical analysis of environmental (compositional) data
analysis. Most classical statistical methods are based on the usual Euclidean geometry - compositional data, however, do not plot into Euclidean space because they have their own geometry which is not linear but curved in the E...
BB - Aplikovaná statistika, operační výzkum
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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