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Solution of the Inverse Problem of Linear Optimal Control with Positiveness Conditions and Relation to Sensitivity
Linear Optimal Control Positiveness Conditions
2015/6/23
The property that the feedback control minimizes some performance index (1.3)
with Q ≥ 0 is of considerable interest because of its connection with the ability
of the control to reduce the sensitivi...
Symmetric chain decomposition for cyclic quotients of Boolean algebras and relation to cyclic crystals
Symmetric chain decomposition Boolean algebras cyclic crystals
2011/9/15
Abstract: The quotient of a Boolean algebra by a cyclic group is proven to have a symmetric chain decomposition. This generalizes earlier work of Griggs, Killian and Savage on the case of prime order,...
Formulae for the determination of the elements of the Eotvos matrix of the Earth's normal gravity field and a relation between normal and actual Gaussian curvature
Eotvos matrix normal gravity field equipotential surfaces Gauss curvature plumbline curvature
2011/9/1
Abstract: In this paper we form relations for the determination of the elements of the E\"otv\"os matrix of the Earth's normal gravity field. In addition a relation between the Gauss curvature of the ...
Note on a relation between Randic index and algebraic connectivity
Randi´ c index algebraic connectivity edge connectivity diameter
2011/2/24
A conjecture of AutoGraphiX on the relation between the Randi´c index R and the algebraic connectivity a of a connected graph G is:R a n − 3 + 2p2 2 ! / 2(1 − cos n ) with ...
Simple proof of the functional relation for the Lerch type Tornheim double zeta function
Functional relation Lerch type Tornheim double zeta function
2011/1/18
In this paper, we give a simple proof of the functional relation for the Lerch type Tornheim double zeta function. By using it, we obtain simple proofs of some explicit evaluation formulas for double ...
On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps
potential pluriharmonic map para-pluriharmonic map the loop group
2011/1/17
In this paper, we show that one can interrelate pluriharmonic maps with para-pluriharmonic maps by means of the loop group method. As an appendix, we give examples for the interrelation between plurih...
Ultradiscrete Plücker Relation Specialized for Soliton Solutions
Ultradiscrete Plücker Relation Specialized Soliton Solutions
2010/12/28
We propose an ultradiscrete analogue of Pl¨ucker relation specialized for soliton solutions.
It is expressed by an ultradiscrete permanent which is obtained by ultradiscretizing the per-
manent, tha...
A Note on a Characterization of Rényi Measures and its Relation to Composite Hypothesis Testing
Characterization of Rényi Measures Relation Composite Hypothesis Testing
2011/2/24
The R´enyi information measures are characterized in terms of their Shannon counterparts, and properties of the former are recovered from first principle via the associated properties of the lat...
Geometric interpretation of double shuffle relation for multiple L-values
Geometric interpretation of double shuffle multiple L-values
2011/2/25
This paper gives a geometric interpretation of the generalized (including the regularization relation) double shuffle relation for multiple L-values.
On a relation to four basic Hilbert-type integral inequalities
basic Hilbert-type integral inequality parameter
2010/9/21
In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to four bas...
The priority method of interval fuzzy preference relation
Interval fuzzy preference relation Consistency Additive transitivity
2010/9/25
The priority method of interval fuzzy preference is studied. One linear programming (LP) model based on additive transitivity is constructed to derive interval weights from consistent or inconsistent ...
The Clifford Algebra Approach to Quantum Mechanics B: The Dirac Particle and its relation to the Bohm Approach
The Clifford Algebra Quantum Mechanics
2010/11/23
In this paper we present for the first time a complete description of the Bohm model of the Dirac particle. This result demonstrates again that the common perception that it is not possible to constr...
On the relation of symplectic algebraic cobordism to hermitian K-theory
symplectic algebraic cobordism hermitian K-theory
2010/11/9
We reconstruct hermitian K-theory via algebraic symplectic cobordism. In the motivic stable homotopy category SH(S) there is a unique morphism g : MSp -> BO of commutative ring T- spectra which sends...
Recurrence relation for the 6j-symbol of su_q(2) from an eigenvalue problem
Racah-Wigner coefficients 6j-symbol quantum group eigenvalue problem
2010/12/3
A new, linear, three-term recurrence relation for the 6j-symbol of the quantum group suq(2) is derived. It is cast in the form of a symmetric eigenvalue problem, generalizing a result of Schulten and ...
Uncertainty relations give upper bounds on the accuracy by which the outcomes of two incompatible measurements can be predicted. While the established uncertainty relations apply to cases where the pr...