1,721,012 research outputs found
2-norm effective isotropic Hookean solids
No full textWe discuss effective isotropic Hoekean solids with distance measured in the 2-nrom
Some Remarks on the Fejer Problem for Lagrange Interpolation in Several Variables
No full textWe discuss when the sum of the squares of the Lagrange polynomials can be bounded by 1
On Certain Configurations of Points which are Univsolvent for Polynomial Interpolation
No full textWe give configurations of points which are proven to be univsolvent for polynomial interpolation
Bounding the Lebesgue function for Lagrange interpolation in a simplex
No full textWe give bounds for the Lebesgue function for polynomial interpolation at points in a simplex
LIMITS OF WEIGHTED SPLINES BASED ON PIECEWISE-CONSTANT WEIGHT-FUNCTIONS
No full textWe study limits of weighted splines when the weight function is piecewise constant
Weighted Splines as Optimal Interpolants
No full textWe give optimality properties for weighted splines
Sobolev-Gagliardo-Nirenberg and Markov Type Inequalities on Subanalytic Domains
No full textWe show existence and give equivalences for various types of calssical inequalities
SICs and the elements of order three in the Clifford group
No full textFor over a decade, there has been intensive work on the numerical and analytic construction of SICs (d(2) equiangular lines in C-d) as an orbit of the Heisenberg group. The Clifford group, which consists of the unitary matrices which normalise the Heisenberg group, plays a key role in these constructions. All of the known fiducial (generating) vectors for such SICs are eigenvectors of symplectic operations in the Clifford group with canonical order 3. Here we describe the Clifford group and the subgroup of symplectic operations in terms of a natural set of generators. From this, we classify all its elements of canonical order three. In particular, we show (contrary to prior claims) that there are symplectic operations of canonical order 3 for d 6 mod 9, which are not conjugate to the Zauner matrix. It is as yet unknown whether these give rise to SICs
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