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Amarts on riesz Spaces

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Acta Mathematica Sinica,English Series 2008年第2期24卷 329-342页

作者： Coenraad C.A. LABUSCHAGNE bruce A.WATSON School of Mathematics University of the Witwatersrand Private Bag 3 P O WITS 2050 South Africa

The concepts of conditional expectations, martingales and stopping times were extended to the riesz space context by Kuo, Labuschagne and Watson （Discrete time stochastic processes on riesz spaces, Indag. Math.,15（2004）, 435-451）. Here we extend the definition of an asymptotic martingale （amart） to the riesz spaces context, and prove that riesz space amarts can be decomposed into the sum of a martingale and an adapted sequence convergent to zero. Consequently an amart convergence theorem is deduced.

关键词： amart martingale riesz space Banach lattice

Partition Identities Arising from Theta Function Identities

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Acta Mathematica Sinica,English Series 2008年第6期24卷 955-970页

作者： Nayandeep Deka BArUAH bruce C.BErNDT Department of Mathematical Sciences Tezpur UniversityNapaam-784028SonitpurAssamIndia Department of Mathematics University of Illinois at Urbana-Champaign1409 West Green St.UrbanaIL 61801USA

The authors show that certain theta function identities of Schroeter and ramanujan imply elegant partition identities.

关键词： partitions colored partitions partition identities theta function identities modular equations

Activation of mitochondrial ATP-sensitive potassium channels delays ischemia-induced cellular uncoupling in rat heart

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Acta Pharmacologica Sinica 2004年第1期 24-30页

作者： Iain C bruce China Department of Physiology Faculty of Medicine The University of Hong Kong

AIM: To test the hypothesis that cellular uncoupling induced by myocardial ischemia is mediated by activation of cmitochondrial ATP-sensitive potassium channels (mitoKATP). METHODS: rat hearts were perfused on a Langendorff apparatus and subjected to 40-min ischemia followed by 30-min reperfusion (I/r). Changes in cellular coupling were monitored by measuring whole-tissue resistance. rESULTS: (1) In hearts subjected to I/r, the onset of uncoupling started at (13.3±1.0) mm of ischemia; (2) Ischemic preconditioning (IPC) delayed the onset of uncoupling until (22.7±1.3) min. Blocking mitoKATP channels with 5-

关键词： heart mitochondria potassium channels adenosine ttiphosphate ischemic preconditioning uncoupling

Assessment of energy release mechanisms contributing to coal burst

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International Journal of Mining Science and Technology 2017年第1期27卷 43-47页

作者： Zhang Chengguo Canbulat Ismet Tahmasebinia Faham Hebblewhite bruce School of Mining Engineering UNSW Sydney 2052Australia

Coal burst is a dynamic release of energy within the rock （or coal） mass leading to high velocity expulsion of the broken/failed material into mine openings. This phenomenon has been recognised as one of the most catastrophic failures associated with the coal mining industry, which can often lead to injuries and fatalities of miners as well as significant production losses. This paper aims to examine the mecha- nisms contributing to coal burst occurrence, with an emphasis on the energy release concept. In this study, a numerical modelling study has been conducted to evaluate the roles and contributions of differ- ence energy components. The energy analysis presented in this paper can help to improve the under- standing of energy release mechanisms esoeciallv under Australian conditions.

关键词： Coal burstCoal burst mechanismsEnergy releaseNumerical modellingMine geomechanics

Phase Transitions of Ferromagnetic Potts Models on the Simple Cubic Lattice

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Chinese Physics Letters 2014年第7期31卷 41-45页

作者：王顺谢志远陈靖 bruce Normand 向涛 Institute of Physics Chinese Academy of Sciences Beijing 100190 Department of Physics Renmin University of China Beijing 100872

We investigate the 2- and 3-state ferromagnetic Ports models on the simple cubic lattice using the tensor renorrealization group method with higher-order singular value decomposition （FIOTrG）. HOTrG works in the thermodynamic limit, where we use the Zq symmetry of the model, combined with a new measure for detecting the transition, to improve the accuracy of the critical point for the 2-state model by two orders of magnitude, obtaining Tc = 4.51152469（1）. The 3-state model is far more complex, and we improve the overall understanding of this case by calculating its thermodynamic quantities with high accuracy. Our results verify that the first-order nature of the phase transition and the HOTrG transition temperature benchmarks the most recent Monte Carlo result.

关键词： PHASE transformations (Physics) FErrOMAGNETIC materials CUBIC crystal system CrYSTAL lattices SINGULAr value decomposition

Spinal intradural electrodes: opportunities, challenges and translation to the clinic

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Neural regeneration research 2024年第3期19卷 503-504页

作者： bruce Harland Chien Yew Kow Darren Svirskis School of Pharmacy University of AucklandAucklandNew Zealand Department of Neurosurgery Auckland City HospitalAucklandNew Zealand

Damage to the spinal cord disrupts the electrically active nerve cells which normally transmit afferent and efferent signals,resulting in loss of motor,sensory,and autonomic *** treatments for spinal cord injury utilizing implanted spinal electrodes can be broadly classified into three different *** first of these approaches is“spinal stimulation”where electrodes,usually positioned above the level of injury,provide electrical stimulation to target and disrupt pain signals before they reach the *** second approach uses“activity-dependent neuro-technologies”,in which electrodes positioned below the level of injury initiate a complex spatiotemporal pattern of stimulation at the lumbar spinal cord to generate a walking gait in the limbs(Minev et al.,2015;Wagner et al.,2018).

关键词： stimulation electrodes utilizing

Propulsive matrix of a helical flagellum

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Chinese Physics B 2014年第11期23卷 51-56页

作者：张何朋刘斌 bruce rodenborn Harry L.Swinney Department of Physics and Astronomy and Institute of Natural Sciences School of Natural Sciences University of California Department of Physics and Center for Nonlinear Dynamics University of Texas at Austin

We study the propulsion matrix of bacterial flagella numerically using slender body theory and the regularized Stokeslet method in a biologically relevant parameter regime. All three independent elements of the matrix are measured by computing propulsive force and torque generated by a rotating flagellum, and the drag force on a translating flagellum. Nu- merical results are compared with the predictions of resistive force theory, which is often used to interpret micro-organism propulsion. Neglecting hydrodynamic interactions between different parts of a flagellum in resistive force theory leads to both qualitative and quantitative discrepancies between the theoretical prediction of resistive force theory and the numerical results. We improve the original theory by empirically incorporating the effects of hydrodynamic interactions and propose new expressions for propulsive matrix elements that are accurate over the parameter regime explored.

关键词： low-reynolds-number flows micro-organism dynamics bacterial swimming

A review of cavability evaluation in longwall top coal caving

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International Journal of Mining Science and Technology 2017年第6期27卷 907-915页

作者： Tien Dung Le rudrajit Mitra Joung Oh bruce Hebblewhite School of Mining Engineering The University of New South Wales Sydney NSW 2052 Australia

Longwall Top Coal Caving has been considered as one of the most effective technologies for the extraction of underground thick coal seams. A large number of studies on the applicability of Longwall Top Coal Caving into new mine sites have linked the success of its application to the geo mechanical understanding of the cavability of the top coal. The paper aims to improve the knowledge of the top coal cavability evaluation. A range of parameters that affect the top coal cavability were first identified. Afterward, a number of cavability assessment methods and classifications were reviewed. The result is important in that it assists researchers in developing an advanced and reliable tool for the top coal cavability evaluation.

关键词： Longwall top coal caving Cavability Numerical modelling Caving mechanism Caving classification

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