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A Simple Manifold-Based Construction of Surfaces of Arbitrary Smoothness
Geometric modeling manifolds
2015/7/14
We present a smooth surface construction based on the manifold approach of Grimm and Hughes. We demonstrate how this approach can relatively easily produce a number of desirable properties which are h...
Construction of fractional factorial split-plot designs with weak minimum aberration
Factorial design Split-plot Weak minimum aberration
2015/3/18
Fractional factorial split-plot (FFSP) designs with minimum aberration have received
much attention in industrial experiments. But they are not so easy to be constructed for the
cases when there are...
On the construction of normal mixed difference matrices
Normal mixed difference matrix Kronecker sum
2015/3/18
By exploring the relationship between difference matrices and orthogonal decomposition of projection matrices, this paper presents a general method
for constructing smaller normal mixed difference ma...
General construction of symmetric parabolic structures
parabolic geometries contact geometries symmetric spaces extension functors
2012/7/11
First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regu...
Construction of minimal surfaces with special type ends
minimal surface total curvature end winding order
2011/9/28
We proved that there exists a family of complete oriented minimal surfaces in $R^3$ with finite total curvature $-4n\\pi$, each of which has 0 genus and two ends, and both of the ends have winding ord...
A generalization of The Dress construction for a Tambara functor, and polynomial Tambara functors
A generalization Dress construction Tambara functor polynomial Tambara functors
2011/1/19
For a finite group G, (semi-)Mackey functors and (semi-)Tambara functors are regarded as G-bivariant analogs of (semi-)groups and (semi-)rings respectively. In fact if G is trivial, they agree with th...
A geometric construction for invariant jet differentials
De Bruijn Sequence Ford sequence preference function
2011/1/19
A nonbinary Ford sequence is a de Bruijn sequence generated by sim-ple rules that determine the priorities of what symbols are to be tried first, given an initial word of size n which is the order of ...
Line bundles and the Thom construction in noncommutative geometry
Line bundles Thom construction noncommutative geometry
2011/1/19
The idea of a line bundle in classical geometry is transferred to noncommutative geometry by the idea of a Morita context. From this we can construct Z and N graded algebras, the Z graded algebra bein...
Direct Construction of Grassmann, Clifford and Geometric Algebras
Direct Construction of Grassmann Clifford and Geometric Algebras
2010/11/22
This is a simple way rigorously to construct Grassmann, Clifford and Geometric Algebras, allowing degenerate bilinear forms, infinite dimension, using fields or certain modules (characteristic 2 with ...
Note on a Differential-Geometrical Construction of Optimal Directions in Linearly-Constrained Systems
Linear programming Linear algebra Differential forms
2010/11/30
This note presents an analytic construction of the optimal unit-norm direction bx = x/||x|| that maximizes or minimizes the objective linear expression, B · bx, subject to a system of linear constrain...
Toward Berenstein-Zelevinsky data in affine type $A$, I: Construction of affine analogs
Berenstein-Zelevinsky data affine type $A$
2010/12/10
We give (conjectural) analogs of Berenstein-Zelevinsky data for affine type A. Moreover,by using these affine analogs of Berenstein-Zelevinsky data, we realize the crystal basis of the negative part o...
Construction of Frequency Hopping Sequence Set Based upon Generalized Cyclotomy
Construction Frequency Hopping Sequence Generalized Cyclotomy
2010/12/8
Frequency hopping (FH) sequences play a key role in frequency hopping spread spectrum ommunication systems. It is important to find FH sequences which have simultaneously good Hamming correlation，larg...
On the Construction of $p$-harmonic Morphisms and Conformal Actions
$p$-harmonic morphism Clifford system homogeneous function conformal field
2007/12/11
We produce $p$-harmonic morphisms by conformal foliations and Clifford systems. First, we give a useful criterion for a foliation on an $m$-dimensional Riemannian manifold locally generated by conform...
The Geometric Construction of WZW Effective Action in
Noncommutative Manifold
noncommutative space WZW effective action close cochain
consistent anomaly
2007/8/15
2002Vol.37No.3pp.349-352DOI:
The Geometric Construction of WZW Effective Action in
Noncommutative Manifold
HOU Bo-Yu, WANG Yong-Qiang, YANG Zhan-Ying and YUE Rui-Hong
In...