In the probability literature, backward stochastic differential equations (BSDE) received considerable attention after their introduction by E. Pardoux and S. Peng [5, 6] in 1990. During the past decade, interesting connections to partial differential equations (PDE) were obtained and the theory found wide applications in mathematical finance. The key property of the BSDE’s is the random termin...

In this paper we consider the nearness symmetric solution of the matrix equation AXB = C to a given matrix [Formula: see text] in the sense of the Frobenius norm. By discussing equivalent form of the considered problem, we derive some necessary and sufficient conditions for the matrix [Formula: see text] is a solution of the considered problem. Based on the idea of the alternating variable mini...

Eight apterous species of the paederine genus Lathrobium Gravenhorst, 1802 from the Chinese province Sichuan are described, illustrated, and distinguished from closely related and/or geographically close congeners: Lathrobium erlangense Peng & Li sp. n. (Erlang Shan), Lathrobium blandum Peng & Li sp. n. (Labahe N. R.), Lathrobium yelense Peng & Li sp. n. (Yele), Lathrobium obscurum Peng & Li sp...

We show that a cubic fourfold F that is apolar to a Veronese surface has the property that its variety of power sums V SP (F, 10) is singular along a K3 surface of genus 20 which is the variety of power sums of a sextic curve. This relates constructions of Mukai and Iliev and Ranestad. We also prove that these cubics form a divisor in the moduli space of cubic fourfolds and that this divisor is...

Tseng, Y.C.1, Ho, G.D.2, Chen, T.T.W.3, Huang, B.F.4, Cheng, P.C.5, Chen, J.L.6 and Peng, S.Y.7* 1Institute of Medicine and Biotechnology, College of Medicine, Tzu Chi University, Hualien, Taiwan 2Effpha Pharma Management Corp. Taipei Taiwan 3Institute of Medical Sciences, Tzu Chi University, Hualien, Taiwan 4Department of laboratory medicine, Buddhist Tzu-Chi General Hospital, Hualien, Taiwan ...

in this contribution, two approaches are followed to predict the saturated liquid density of liquefied natural gas (lng) mixtures. in one approach, 12 cubic equations of state (eoss), comprising the popular peng-robinson (pr) and redlich-kwong-soave (rks), are employed to predict the saturated liquid density of 20 lng mixtures. in the other approach, these eos are used in conjunction with a rec...

A class of solutions of the low energy string theory in four dimensions is studied. This class admits a geodesic, shear-free null congruence which is non-twisting but in general diverging and the corresponding solutions in Einstein’s theory form the Robinson-Trautman family together with a subset of the Kundt’s class. The Robinson-Trautman conditions are found to be frame invariant in string th...

High-pressure phase equilibrium and volumetric properties of highly asymmetric mixtures related to reservoir fluids are critical the development high-pressure high-temperature (HPHT) reservoirs. However, there is a lack relevant data accurate modeling tools. In this work, we prepared pseudo-binary methane (CH4) + stock tank oil (STO) systematically measured their densities at temperatures from ...

Six species of Lathrobium Gravenhorst, 1802 from the Emei Shan, Sichuan, are described and illustrated: Lathrobium iunctum Assing & Peng sp. n., Lathrobium coniunctum Assing & Peng sp. n., Lathrobium conexum Assing & Peng sp. n., Lathrobium ensigerum Assing & Peng sp. n., Lathrobium hastatum Assing & Peng sp. n., and Lathrobium bisinuatum Assing & Peng sp. n. Based on their primary and secondar...