The Experts below are selected from a list of 19938 Experts worldwide ranked by ideXlab platform
Daniel Cibotaru - One of the best experts on this subject based on the ideXlab platform.
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Non-tame Morse-Smale flows and odd Chern-Weil theory
arXiv: Differential Geometry, 2020Co-Authors: Daniel Cibotaru, Wanderley PereiraAbstract:Using a certain well-posed ODE problem introduced by Shilnikov in the sixties, G. Minervini proved in his PhD thesis [17], among other things, the Harvey-Lawson Diagonal Theorem but without the restrictive tameness condition for Morse flows. Here we combine the same techniques with the ideas of Latschev in order to construct local resolutions for the flow of the graph of a section of a fiber bundle. This is endowed with a Vertical Vector field which is horizontally constant and Morse-Smale in every fiber. The resolution allows the removal of the tameness hypothesis from the homotopy formula in [3]. We give one finite and one infinite dimensional application. For that end, we introduce closed smooth forms of odd degree associated to any triple (E;U;\nabla) composed of a hermitian Vector bundle, unitary endomorphism and metric compatible connection.
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Vertical flows and a general currential homotopy formula
arXiv: Differential Geometry, 2014Co-Authors: Daniel CibotaruAbstract:We generalize some of the results of Harvey, Lawson and Latschev about transgression formulas. The focus here is on flowing forms via Vertical Vector fields, especially Morse-Bott-Smale Vector fields. We prove a very general transgression formula including also a version covering non-compact situations. Among applications, we completely answer a question of Quillen, construct the Maslov spark, give a very short proof of a refined Chern- Gauss-Bonnet theorem, and reprove some theorems of Nicolaescu and Getzler. A discussion about odd Chern-Weil theory is also included.
Alexis Verpaele - One of the best experts on this subject based on the ideXlab platform.
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The MACS-lift short scar rhytidectomy.
Aesthetic surgery journal, 2007Co-Authors: Patrick Tonnard, Alexis VerpaeleAbstract:The minimal access cranial suspension (MACS) lift, a short scar face lift for the lower and middle third of the face, uses a pure Vertical Vector, involves no lateral tension, and may be performed with the patient under local anesthesia in 2 to 2.5 hours. According to the authors, the procedure reduces recovery time and morbidity, and results are as stable as more classic, extended face lift techniques.
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Optimising Results from Minimal Access Cranial Suspension Lifting (MACS-Lift)
Aesthetic Plastic Surgery, 2005Co-Authors: Patrick L. Tonnard, Alexis Verpaele, Sibila GaiaAbstract:Between November 1999 and February 2005, 450 minimal access cranial suspension (MACS) lifts were performed. Starting with the idea of suspension for sagging soft tissues using permanent purse-string sutures, a new comprehensive approach to facial rejuvenation was developed in which the Vertical Vector appeared to be essential. The neck is corrected by extended submental liposuction and strong Vertical traction on the lateral part of the platysma by means of a first Vertical purse-string suture. The volume of the jowls and the cheeks is repositioned in a cranial direction with a second, slightly oblique purse-string suture. The descent of the midface is corrected by suspending the malar fat pad in a nearly Vertical direction. In 23 cases (5.1%), the result in the neck was unsatisfactory, and additional work had to be done secondarily, or in later cases, primarily. The problem that appeared was unsatisfactory correction of platysmal bands (resolved with an additional anterior cervicoplasty) or Vertical skin folds that appeared in the infralobular region (corrected with an additional posterior cervicoplasty). This article describes two ancillary procedures that, although not frequently necessary, can optimise the result of MACS lifting.
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300 MACS-lift short scar rhytidectomies: analysis of results and complications
European Journal of Plastic Surgery, 2005Co-Authors: Patrick Tonnard, Alexis VerpaeleAbstract:Between November 1999 and April 2004, 300 MACS-lifts (Minimal Access Cranial Suspension–lifts) were performed. Starting from the idea of suspension of sagged soft tissues with permanent purse-string sutures, a new comprehensive approach to facial rejuvenation was developed, in which the Vertical Vector appeared to be essential.The neck is corrected by extended submental liposuction and strong Vertical traction on the lateral part of the platysma by means of a first Vertical purse-string suture. The volume of the jowls and the cheeks is repositioned in a cranial direction with a second, slightly-oblique purse-string suture. The descent of the midface is corrected by suspending the malar fat pad in a nearly Vertical direction.The skin excess generated by these actions is redraped in a pure Vertical direction and excised at the temporal hairline and the paracanthal region. As no horizontal pull on the skin is exerted, a retro-auricular incision becomes obsolete. The result is a pure antigravitational lifting procedure, which produces a natural facial rejuvenation through a short scar.
G. N. Kuznetsov - One of the best experts on this subject based on the ideXlab platform.
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Direction finding and suppression of Vector-scalar sound signals in shallow water taking into account their correlation and mode structure
Acoustical Physics, 2016Co-Authors: A. I. Belov, G. N. KuznetsovAbstract:The correlation of low-frequency sound signals from towed tonal low-frequency sources at the output of the scalar and Vector channels is studied in shallow water. The correlation of the scalar field and signal received by a horizontally oriented Vector receiver on average is 0.92–0.99; correlation with the signal received by a Vertical Vector receiver decreases to 0.66–85. When scalar fields or horizontal projections of the vibration velocity Vector with application of the aperture synthesis algorithm are used, 3–5 normal waves are isolated; when the Vertical component is used, 7–9 modes. It is demonstrated that the high signal correlation ensures direction-finding accuracy and suppression of strongly noise-emitting moving sources by 20–30 dB or more if the cardioid is directed at the source according to the zone of the minimum.
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Estimating the acoustic characteristics of surface layers of the sea bottom using four-component Vector-scalar receivers
Acoustical Physics, 2016Co-Authors: A. I. Belov, G. N. KuznetsovAbstract:It is shown that scalar, horizontal, and Vertical Vector receivers efficiently split modes of different numbers, which makes it possible to analyze the mode structure and estimate the characteristics of surface layers of a shallow sea bottom. To analyze the mode structure of propagating pulses from a towed pneumatic source, Winger transform was applied, with which seven modes were isolated by Vertical Vector receivers, whereas the scalar receivers and horizontal Vector receivers isolated only three modes. It is established that the use of four-component Vector-scalar receivers makes it possible to increase the accuracy in estimating the parameters of a layered bottom model.
Wang Jun-lin - One of the best experts on this subject based on the ideXlab platform.
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Direction-of-Arrival Estimation Algorithm for Coherent Sources Based on a Vertical Vector Sensor Array
2012Co-Authors: Wang Jun-linAbstract:In order to get the spatial direction-of-arrival estimation of coherent sources,computed angle-of-arrival transient imaging(CAATI) algorithm was introduced in the Vector sensor array,and CAATI algorithm using a Vertical Vector sensor array was proposed.It not only has the advantages of small number of snapshots,less computation and high estimation accuracy,but also has the capability of a Vector sensor which can measure the acoustic pressure and particle velocity simultaneously and colocately,so the spatial direction-of-arrival of the target can be achieved with one dimension line array.The algorithm has better real time capability and lower hardware requirement in the practical application.The performance of the direction-of-arrival estimation was simulated and analyzed.The simulation results show that the proposed method is feasible.
Wu Xiaojuan - One of the best experts on this subject based on the ideXlab platform.
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a sins cns deep integrated navigation method based on mathematical horizon reference
Aircraft Engineering and Aerospace Technology, 2011Co-Authors: Wu Xiaojuan, Wang XinlongAbstract:Purpose – The purpose of this paper is to overcome the limitations of existing celestial horizon references, and improve the navigation accuracy of the strap‐down inertial navigation system/celestial navigation system (SINS/CNS) integrated system with an innovative scheme of deep integration.Design/methodology/approach – First, a novel conception of mathematical horizon reference (MHR) provided by the strap‐down matrix of SINS is proposed. Then, the realization mechanism of the MHR‐based Vertical Vector is introduced from the viewpoint of Vector rotation. Moreover, the MHR implementation scheme of high precision and reliability is presented, and on this basis, the method which utilizes Vertical Vector to achieve celestial navigation is introduced. In addition, with considering the characteristics of SINS and the MHR‐based CNS, the SINS/CNS deep integrated navigation system and its specific realization are proposed. Finally, simulation tests are implemented to validate this SINS/CNS deep integrated navigat...
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A SINS/CNS deep integrated navigation method based on mathematical horizon reference
Aircraft Engineering and Aerospace Technology, 2011Co-Authors: Wu Xiaojuan, Wang Xin-longAbstract:Purpose – The purpose of this paper is to overcome the limitations of existing celestial horizon references, and improve the navigation accuracy of the strap‐down inertial navigation system/celestial navigation system (SINS/CNS) integrated system with an innovative scheme of deep integration.Design/methodology/approach – First, a novel conception of mathematical horizon reference (MHR) provided by the strap‐down matrix of SINS is proposed. Then, the realization mechanism of the MHR‐based Vertical Vector is introduced from the viewpoint of Vector rotation. Moreover, the MHR implementation scheme of high precision and reliability is presented, and on this basis, the method which utilizes Vertical Vector to achieve celestial navigation is introduced. In addition, with considering the characteristics of SINS and the MHR‐based CNS, the SINS/CNS deep integrated navigation system and its specific realization are proposed. Finally, simulation tests are implemented to validate this SINS/CNS deep integrated navigat...
