scholarly journals Asymptotic Elias bound for Euclidean space codes over uniform signal sets

2003 ◽  
Author(s):  
B. Sundar Rajan ◽  
G. Viswanath
Keyword(s):  
Euclidean Space ◽  
Signal Sets

scholarly journals Gilbert-Varshamov bound for Euclidean space codes over distance-uniform signal sets

2002 ◽  
Vol 48 (2) ◽  
pp. 537-546 ◽  
Author(s):  
B.S. Rajan ◽  
L.V. Subramaniam ◽  
R. Bahl
Keyword(s):  
Euclidean Space ◽  
Signal Sets

CODING OF OUTPUT SIGNAL SETS IN THE COMBINED FSM CIRCUIT ON CPLD

2017 ◽  
Vol 2 (25) ◽  
pp. 5-11
Author(s):  
A.A. Barkalov ◽  
◽  
L.A. Titarenko ◽  
I.J. Zeleneva ◽  
S.S. Hrushko ◽  
...  
Keyword(s):  
Output Signal ◽  
Signal Sets

Symplectic capacities

2017 ◽  
Author(s):  
Dusa McDuff ◽  
Dietmar Salamon
Keyword(s):  
Euclidean Space ◽  
Generating Functions ◽  
Weinstein Conjecture ◽  
Finite Dimensional ◽  
Hofer Metric

This chapter returns to the problems which were formulated in Chapter 1, namely the Weinstein conjecture, the nonsqueezing theorem, and symplectic rigidity. These questions are all related to the existence and properties of symplectic capacities. The chapter begins by discussing some of the consequences which follow from the existence of capacities. In particular, it establishes symplectic rigidity and discusses the relation between capacities and the Hofer metric on the group of Hamiltonian symplectomorphisms. The chapter then introduces the Hofer–Zehnder capacity, and shows that its existence gives rise to a proof of the Weinstein conjecture for hypersurfaces of Euclidean space. The last section contains a proof that the Hofer–Zehnder capacity satisfies the required axioms. This proof translates the Hofer–Zehnder variational argument into the setting of (finite-dimensional) generating functions.

ANTI-SELF-DUAL SOLUTIONS OF THE YANG-MILLS EQUATIONS IN 4n DIMENSIONS

1992 ◽  
Vol 07 (23) ◽  
pp. 2077-2085 ◽  
Author(s):  
A. D. POPOV
Keyword(s):  
Scalar Field ◽  
Euclidean Space ◽  
Lie Algebra ◽  
Linear Equations ◽  
Dual Solutions ◽  
Gauge Fields ◽  
System Of Equations ◽  
Semisimple Lie Algebra ◽  
Yang Mills ◽  
Self Duality

The anti-self-duality equations for gauge fields in d = 4 and a generalization of these equations to dimension d = 4n are considered. For gauge fields with values in an arbitrary semisimple Lie algebra [Formula: see text] we introduce the ansatz which reduces the anti-self-duality equations in the Euclidean space ℝ4n to a system of equations breaking up into the well known Nahm's equations and some linear equations for scalar field φ.

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