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A classification of Reifenberg properties
Reifenberg rectifiability Hausdorff measure Hausdorff dimension
2011/2/23
We define twelve variants of a Reifenberg’s affine approximation property, which are known to
be connected with the singular sets of minimal surfaces. With this motivation we investigate the regulari...
On flips of unitary buildings I: Classification of flips
building flip phan involution incidence geometry
2011/1/20
We classify flips of buildings arising from non-degenerate unitary spaces of dimen-sion at least 4 over finite fields of odd characteristic in terms of their action on the underlying vector space. We ...
Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity
non-degenerate projective varieties non-zero prolongation
2010/11/24
The prolongation g^{(k)} of a linear Lie algebra g \subset gl(V) plays an important role in the study of symmetries of G-structures. Cartan and Kobayashi-Nagano have given a complete classification o...
Classification of spatially homogeneous rotating space-times according to their conformal vector fields
Direct integration technique Conformal vector field
2010/9/13
Direct integration technique is used to study non conformally flat spatially homogeneous rotating space-times according to their conformal vector fields. It is shown that the above space-times do not ...
Frames and finite dimensionality: Frame transformation, classification and algorithms
frame inequality discrete expansion matrices
2010/9/14
In this paper we will look at the connection of frames and finite dimensionality. The focus is to present simple algorithms, which are available online. We will give basic algorithms to use with frame...
In this article we classi¯ed the points of the well-known fractal
set Sierpinski Gasket (SG) according to their addresses. We also gave a
characterization of points of SG that describes the rel...
Fuzzy classification of physiographic features extracted from multiscale DEMs
multiscale DEMs physiograhic features the lifting scheme
2010/9/15
Geomorphological landforms are generally viewed as Boolean objects. However, recent studies have shown that landforms are more suitable to be viewed as fuzzy objects,whereby a landform is defined as a...
Classification and generation of 3D discrete curves
3D Discrete curves chain coding curve classification
2010/9/16
We present a quantitative approach to the representation, classification,and generation of families of 3D (three-dimensional) particular discrete closed curves. Any 3D continuous curve can be digitali...
Classification of decision making units with interval data using SBM model
DEA Slacks SBM-efficiency Interval data
2010/9/15
In original data envelopment analysis (DEA) models, the data for all inputs and outputs are known exactly. When some inputs and outputs are unknown decision variables, such as interval data, ordinal d...