This paper studies non-proper negative imaginary systems. First, the concept of negative imaginary transfer functions thatmayhavepoles at the origin and infinity is introduced. Then, a generalized lemma is presented to provide a sufficient condition to characterize the non-proper negative imaginary properties of systems. The generalized lemma is given in terms of complex variable s in the quart...

Abstract Let G be a finite group, N normal subgroup of and K conjugacy class . We prove that if $$K\cup K^{-1}$$ K ∪ - 1 is union cosets , then soluble, real-imaginary class, is, every irreducible character takes ...

Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and center at 0, where = 0 is the imaginary axis, and that the imaginary parts of these eigenvalues are bounded from up and below by two lines parallel to the real axis.

Davenport and Heilbronn defined a bijection between classes of binary cubic forms and classes of cubic fields, which has been used to tabulate the latter. We give a simpler proof of their theorem then analyze and improve the table-building algorithm. It computes the multiplicities of the O(X) general cubic discriminants (real or imaginary) up to X in time O(X) and space O(X3/4), or more general...

risalat risalat al-ghofran is the letter that abu ala marri (363-449 ah) writes in response to a letter from ali ben mansour halabi. inspired by the story of his ascension and the quran makes for a very long introduction to this thesis imaginary journey to heaven and hell are brought into the picture and verses and poems, and news and conflict in many lexical and syntactic text instead gives it...

OBJECTIVE To determine the most discriminative features for a brain-computer interface (BCI) system based on statistically significant differences between two energy density maps calculated from EEG signals during two different motor tasks. METHODS EEG was recorded in ten healthy volunteers while performing different cue based, 3s sustained, real and imaginary right hand movements. Energy den...

In this study we investigated the vestibular system by recording eye movements in response to voluntary high-frequency head-only movements using the Vestibular Autorotation Test (VAT; Western System Research Inc., Los Angeles, California). Our objective was to evaluate if the VAT could be implemented as one of the screening tests for vestibular integrity in aircrews and potential pilots. We att...

From ultracold atoms to quantum chromodynamics, reliable ab initio studies of strongly interacting fermions require numerical methods, typically in some form of quantum Monte Carlo calculation. Unfortunately, (non)relativistic systems at finite density (spin polarization) generally have a sign problem, such that those ab initio calculations are impractical. It is well-known, however, that in th...

We analyze the eigenvalue problem for semiclassical Dirac (or Zakharov-Shabat) operator on real line with general analytic potential. provide Bohr-Sommerfeld quantization conditions near energy levels where potential exhibits characteristics of a single or double bump function. From these we infer that rather its square) looks like function, all eigenvalues are purely imaginary. For even odd po...