We have observed the pure rotational spectra of HBr isotopomers in their v = 0 and v = 1 states between 0.97 and 1.02 THz. i. e. the HBr .7 = 2—1 and the DBr .7 = 4 — 3 transitions, respectively. In the analysis, all presently available rotational transitions of all isotopomers have been fitted to a Dunham-type Hamiltonian to obtain the isotopically invariant parameters, including vibrational a...

In this paper we analyze the effect of rotational invariant operators for texture recognition using cross-validation experiments with different sample sizes. This work presents three main contributions. First, invariant operators for steerable filter banks are derived analytically using the Lie group approach. Second, the use of “randomized invariants” for steerable texture analysis is introduc...

The homogeneity of binary functions on the unit interval [0, 1] is a very useful property in many real practical applications. This paper studies circle complex plane. generalization both rotational invariance and ratio scale for fuzzy operations. We show that function homogeneous if only it rotationally invariant invariant. Moreover, we consider simplification operators.

In this paper, a plane quadrilateral element with rotational degrees of freedom is developed. Present formulation is based on a hybrid functional with independent boundary displacement and internal optimum strain field. All the optimality constraints, including being rotational invariant, omitting the parasitic shear error and satisfying Fliepa’s pure bending test, are considered. Moreover, the...

Front form dynamics is not a manifestly rotational invariant formalism. In particular, the requirement of an invariance under rotations around the transverse axes is difficult to fulfill since the corresponding operators are complicated and involve the interaction. All approximations in solving Quantum Field Theories using front form dynamics, as inevitable as they are, are destined to destroy ...

In array signal processing systems, the direction of arrival (DOA) and polarization of signals based on uniform linear or rectangular sensor arrays are generally obtained by rotational invariance techniques (ESPRIT). However, since the ESPRIT algorithm relies on the rotational invariant structure of the received data, it cannot be applied to electromagnetic vector sensor arrays (EVSAs) featurin...