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Variational principle and zero temperature limits of asymptotically (sub)-additive projection pressure
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作者 Qiuhong WANG Yun ZHAO 《Frontiers of Mathematics in China》 SCIE CSCD 2018年第5期1099-1120,共22页
Let {Si}li=l be an iterated function system (IFS) on Rd with an attractor K. Let (S,cr) denote the one-sided full shift over the finite alphabet {1,2,...,l}, and let π:∑ -K be the coding map. Given an asymptot... Let {Si}li=l be an iterated function system (IFS) on Rd with an attractor K. Let (S,cr) denote the one-sided full shift over the finite alphabet {1,2,...,l}, and let π:∑ -K be the coding map. Given an asymptotically (sub)-additive sequence of continuous functions{Si}n≥1, we define the asymptotically additive projection pressure Pπ and show the variational principle for Pπunder certain affine IFS. We also obtain variational principle for the asymptotically sub-additive projection pressure if the IFS satisfies asymptotically weak separation condition (AWSC). Furthermore, when the IFS satisfies AWSC, we investigate the zero temperature limits of the asymptotically sub-additive projection pressure Pπ(β) with positive parameter β. 展开更多
关键词 Projection pressure asymptotically (sub)-additive potentials variational principle zero temperature limits
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Design and Range of Application of Slot Bushings with Volumetric Orifice Fields
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作者 ULYBYSHEV V. V. VASEKIN V. V. PERELMAN S. L. 《贵金属》 CAS CSCD 北大核心 2012年第A01期124-126,共3页
A design of a slot bushing with a volumetric field has been developed, which allows to produce continuous fibers from melts with difficult processing characteristics in order to produce fibers with better operating ch... A design of a slot bushing with a volumetric field has been developed, which allows to produce continuous fibers from melts with difficult processing characteristics in order to produce fibers with better operating characteristics. The operability of the design was confirmed when solving two problems of special technological complexity. 1. 400 and 800 orifice bushings for production of continuous fibers from the basalt melt have been developed and recommended for manufacture. 2. The process of production of continuous fibers from standard glass using 2400 orifice bushing with perforated plates instead of orifice tips without air cooling, has been realized for the first time. 展开更多
关键词 slot bushing ORIFICE under-orifice zone basalt melt temperature of the upper limit of crystallization viscosity limiting wetting angle perforated plate flow rate formation force governing air flow
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