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The dead-end depth of an element g of a group G with generating set A is the distance from g to the complement of the radius d(1,g) closed ball, in the word metric d defined with respect to A. We exhi...
The filling radius function R of Gromov measures the minimal radii of van Kampen diagrams filling edge-circuits w in the Cayley 2-complex of a finite presentation P. It is known that the Dehn function...
Effects of Cooking End-point Temperature and Muscle Part on Sensory ‘Hardness’ and ‘Chewiness’ Assessed Using Scales Presented in ISO11036:1994
Beef Texture Sensory Evaluation ISO11036:1994 Cooking End-point Temperature
2016/5/12
Texture and ‘tenderness’ in particular, is an important sensory characteristic for consumers’ satisfaction of beef. Objective and detailed sensory measurements of beef texture have been needed for the...
Some Examples to Show that Objects be Presented by Mathematical Equations
Graph, Equation Visible and Invisible Object
2013/1/30
We have often heard remarks such as “We can plot graphs from the mathematical equations”, including equations of lines, equations of curves, and equations of invisible and visible objects. Actually, w...
Alexander varieties and largeness of finitely presented groups
Alexander varieties largeness of finitely presented groups Group Theory
2012/5/9
Let X be a finite CW complex. We show that the fundamental group of X is large if and only if there is a finite cover Y of X and a sequence of finite abelian covers \{Y_N\} of Y which satisfy b_1(Y_N)...
A Note on Invariantly Finitely $L$-Presented Groups
Tietze transformations infinite presentations recursive presentations selfsimilar groups
2012/5/9
In the first part of this note, we introduce Tietze transformations for $L$-presentations. These transformations enable us to generalize Tietze's theorem for finitely presented groups to invariantly f...
The computational complexity of recognising embeddings in finitely presented groups
Finitely presented groups embeddings Kleene’s arithmetical hierarchy decidability universal finitely presented group
2011/8/29
Abstract: We extend a result by Lempp that recognising torsion-freeness for finitely presented groups is $\Pi^{0}_{2}$-complete; we show that the problem of recognising embeddings of finitely presente...
Some Properties of Finitely Presented Groups with Topological Viewpoints
Finitely presented group Fundamental group Homotopy group
2011/1/19
In this paper, using some properties of fundamental groups and covering spaces of connected polyhedra and CW-complexes, we present topological proof for some famous theorems about finitely presented g...
Spectral triples for finitely presented groups, index 1
Spectral triples finitely presented groups
2010/11/23
Using generalized Cayley graphs and Clifford algebras, we are able to give, for a large class of finitely presented groups, a uniform construction of spectral triples with $D_{+}$ of index $1$.
Analyzing Weighted $\ell_1$ Minimization for Sparse Recovery with Nonuniform Sparse Models\footnote{The results of this paper were presented in part at the International Symposium on Information Theory, ISIT 2009}
Analyzing Weighted $\ell_1$ Minimization Sparse Recovery International Symposium Information Theory
2010/12/8
In this paper we introduce a nonuniform sparsity model and analyze the performance of an optimized weighted ℓ1 minimization over that sparsity model. In particular, we focus on a model where the...
Is a low EPA growth saturation threshold supported by the data presented inBecker and Boersma (2005)?
a low EPA growth saturation threshold the data presented in Becker Boersma
2014/4/16
Becker and Boersma (2005) report on the effect of essential fatty acid and phosphorus limitation onDaphnia growth and reproduction. Their study reaches several novel and provocative conclusions includ...
Africa Takes the Nuclear Safety Stage--Newly-formed African Regulatory Body Presented at Cape Town Conference（图）
the Nuclear Safety Stage African Regulatory Body Cape Town Conference
2009/12/22
In a continent that is witnessing the increasing use of radioactive sources in applications ranging from health and agriculture to industrial activities and, possibly, nuclear power generation, a newl...
Optical Precipitation Gauge-Determination of Precipitation Type and Intensity by Ligth Attenuation Technique-Paper presented at POLARTECH '94
Optical Precipitation Gauge-Determination Precipitation Type Ligth Attenuation Technique-Paper
2009/10/26
There exists a great need for automatic precipitation gauges for effective road
maintenance during the winter period. These gauges should be inexpensive,
not require mains supply, need little attend...