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Transversals to Line Segments in Three-Dimensional Space
Structural section an infinity line transmission cross section form
2014/12/29
We completely describe the structure of the connected components of transversals to a collection of n line segments in R3. We show that n > 3 arbitrary line segments in R3 admit 0, 1, . . . , n or inf...
The spectral curve of a quaternionic holomorphic line bundle over a 2-torus
Riemann surface the spectral curve curve four yuan dirichlet energy
2014/12/24
A conformal immersion of a 2-torus into the 4-sphere is characterized by an auxiliary Riemann surface, its spectral curve. This complex curve encodes the monodromies of a certain Dirac type operator o...
On the arrangement of cells in planar STIT and Poisson line tessellations
Mark-correlation function neighbourhood of typical cell pair-correlation function Poisson line tessellation random tessellation spatial statistics STIT tessellation stochastic geometry
2011/6/21
It is well known that the distributions of the interiors of the typical cell of a
Poisson line tessellation and a STIT tessellation with the same parameters coincide.
In this paper, differences in t...
Classifying the typefaces of the Gutenberg 42-line bible
Classification cluster analysis outlier testing Johannes Gutenberg 42-line bible movable types
2010/3/10
We have measured the dissimilarities among several printed characters of a single page in the
Gutenberg 42-line bible and we prove statistically the existence of several different matrices from which...
Combining multiple maps of line features to infer true position
GIS linear features lines maps positional error
2009/9/22
Map positional error refers to the dierence between a feature coordinate pair on a map and the corresponding true, unknown coordinate pair. In a geographic information system (GIS), this error is pro...
Sparse partial least squares for on-line variable selection in multivariate data streams
Sparse partial least squares on-line variable selection multivariate data streams
2010/3/18
In this paper we propose a computationally efficient algorithm for on-line variable
selection in multivariate regression problems involving high dimensional data streams.
The algorithm recursively e...