Given the problems in intelligent diagnosis methods for automotive transmission, it is difficult to obtain the fault signal features and a large enough sample size to study. To solve these problems, a method integrating order tracking, cepstrum, support vector machine (SVM) and extremal curve is proposed in this paper. Order tracking and cepstrum are combined for processing the non-stationary v...

A method for the automatic detection and recognition of text and symbols painted on the road surface is presented. Candidate regions are detected as maximally stable extremal regions (MSER) in a frame which has been transformed into an inverse perspective mapping (IPM) image, showing the road surface with the effects of perspective distortion removed. Detected candidates are then sorted into wo...

The topic of this paper is a convergence analysis of preconditioned inverse iteration (PINVIT). A sharp estimate for the eigenvalue approximations is derived; the eigenvector approximations are controlled by an upper bound for the residual vector. The analysis is mainly based on extremal properties of various quantities which define the geometry of PINVIT.

We report on recent advances in the study of critical points of the “black hole effective potential” VBH (usually named attractors) of N = 2, d = 4 supergravity coupled to nV Abelian vector multiplets, in an asymptotically flat extremal black hole background described by 2nV + 2 dyonic charges and (complex) scalar fields which are coordinates of an nV -dimensional Special Kähler manifold.

A nonzero element x of a Lie algebra L over a field F is called extremal if [x, [x,L]] ⊆ Fx. Extremal elements are a well-studied class of elements in simple finite-dimensional Lie algebras of Chevalley type: they are the long root elements. In [CSUW01], Cohen, Steinbach, Ushirobira and Wales have studied Lie algebras generated by extremal elements, in particular those of Chevalley type. The au...

A nonzero element x of a Lie algebra L over a field F is called extremal if [x, [x,L]] ⊆ Fx. Extremal elements are a well-studied class of elements in simple finite-dimensional Lie algebras of Chevalley type: they are the long root elements. In [CSUW01], Cohen, Steinbach, Ushirobira and Wales have studied Lie algebras generated by extremal elements, in particular those of Chevalley type. The au...

We discuss the existence and non-existence of constant scalar curvature, as well extremal, Sasaki metrics. prove that natural Sasaki–Boothby–Wang manifold over admissible projective bundles local products non-negative CSC Kähler metrics, described in [3], always has a curvature (CSC) metric its Sasaki-Reeb cone. Moreover, we give examples show extremal Sasaki–Reeb cone, defined set vector field...