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Insulin sensitivity is a Rubik’s Cube
Insulin sensitivity complex metabolic exercise diet
2018/11/30
Insulin sensitivity is determined by complex metabolic interactions dictated by a multitude of inputs that include inherited genetic and epigenetic determinants as well as many varying modifiers such ...
There are many interesting questions one can ask about a highly symmetric graph.
A graph with a transitive automorphism group can be obtained starting with a group
G and a small set S of generators....
Degree bounds for polynomial verification of the matrix cube
matrix cube polynomial verification
2015/6/19
In this paper we consider the problem of how to computationally test whether a matrix inequality is positive semidefinite on a semialgebraic set. We propose a family of sufficient conditions using the...
Restricted Invertibility and the Banach-Mazur distance to the cube
Restricted Invertibility the Banach-Mazur distance cube Functional Analysis
2012/6/19
We prove a normalized version of the restricted invertibility principle obtained by Spielman-Srivastava. Applying this result, we get a new proof of the proportional Dvoretzky-Rogers factorization the...
Functor of continuation in Hilbert cube and Hilbert space
Hilbert cube Hilbert space Functor of continuation General Topology
2011/8/29
Abstract: A $Z$-set in a metric space $X$ is a closed subset $K$ of $X$ such that each map of the Hilbert cube $Q$ into $X$ can uniformly be approximated by maps of $Q$ into $X \setminus K$. The aim o...
On non-multiaffine consistent around the cube lattice equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/5
We show that integrable involutive maps, due to the fact they admit three integrals in separated
form, can give rise to equations which are consistent around the cube and which are not in the multiaf...
On non-multiaffine consistent around the cube lattice equations
Integrable lattice equations Yang-Baxter maps Consistency around the cube
2011/7/27
Abstract: We show that integrable involutive maps, due to the fact they admit three integrals in separated form, can give rise to equations which are consistent around the cube and which are not in th...
Random groups have fixed points on CAT(0) cube complexes
Random groups fixed points on CAT(0) cube complexes
2011/2/22
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
An infinite family of Legendrian torus knots distinguished by cube number
infinite family of Legendrian torus knots cube number
2011/2/24
For a knot K the cube number is a knot invariant de ned to be the smallest n for which
there is a cube diagram of size n for K.
Applications of operational calculus: Trigonometric interpolating equation for the eight-point cube
interpolation operational equations prismatic array
2010/9/21
A general method for obtaining a trigonometric-type interpolating equation for the eight-point cubical array is illustrated. It can often be used to reproduce a ninth datum at an arbitrary point near ...
A triangulation of $\CC P^3$ as symmetric cube of $S^2$
Triangulated manifolds Complex projective space Symmetric power Product of 2-spheres
2011/2/21
The symmetric group S3 acts on S 2 × S 2 × S 2 by coordinate permutation, and the quotient space (S 2×S 2×S 2)/S3 is homeomorphic to the complex projective space CP 3.In this paper.
A 2-coloring of the n-cube in the n-dimensional Euclidean space can be considered as an assignment of weights of 1 or 0 to the vertices. Such a colored n-cube is said to be balanced if its center of m...
Right now, 10 to 15 Rubik’s Cube-sized satellites are orbiting high above Earth. Known as cube satellites, or “CubeSats,” the devices help researchers conduct simple space observations and measure cha...