Corrections to Rigid Local Systems Manuscript
نویسندگان
چکیده
Corrections to Introduction, local page numbers page 6, line-3: should read λ(1 − λ)(d/dλ) 2 f + (c − (a + b + 1)λ)(d/dλ)f − abf = 0 Corrections to Chapter 2, local page numbers page 32, line 1 of Remarks 2.10.4: should begin 1) Here is a slightly variant... page 48, lines 2-3 of Corollary 2.13.3 should end/begin Then K = L χ(x−1) [1] satisfies K mid× D(inv K) = δ 1. Corrections to Chapter 8, local page numbers page 4, lines 10-11 of the proof of 2) of Lemma 8.2.2 should end/begin By proper base change page 14, line 11 of 8.5.
منابع مشابه
Global Stabilization of Attitude Dynamics: SDRE-based Control Laws
The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order greater than two such as the attitude dynamics of a general rigid body have been extended in literature; however, it is still difficult to show global stability properties of...
متن کاملAnalyzing human decisions in IGRT of head-and-neck cancer patients to teach image registration algorithms what experts know
BACKGROUND In IGRT of deformable head-and-neck anatomy, patient setup corrections are derived by rigid registration methods. In practice, experienced radiation therapists often correct the resulting vectors, thus indicating a different prioritization of alignment of local structures. Purpose of this study is to transfer the knowledge experts apply when correcting the automatically generated res...
متن کاملDynamical Behavior of a Rigid Body with One Fixed Point (Gyroscope). Basic Concepts and Results. Open Problems: a Review
The study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. A number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement (behavior) – stable, periodic, quasi-periodic or chaotic. The main objectives of this review are: 1) to outline the characteristic features of...
متن کاملDirect observation of the ice rule in an artificial kagome spin ice
Recently, significant interest has emerged in fabricated systems that mimic the behavior of geometrically frustrated materials. We present the full realization of such an artificial spin ice system on a two-dimensional kagome lattice and we demonstrate rigid adherence to the local ice rule by directly counting individual pseudospins. The resulting spin configurations show not only local ice rul...
متن کامل