This paper aims to estimate the joint default probability under the structuralform model with a random environment; namely stochastic correlation. By means of a singular perturbation method, we obtain an asymptotic expansion of a two-name joint default probability under a fast mean-reverting stochastic correlation model. The leading order term in the expansion is a joint default probability wit...

large amounts of hydrocarbon reserves are trapped in naturally fractured reservoirs which arechallenging in terms of accurate recovery prediction because of their joint fabric complexity andlithological heterogeneity. canada, for example, has over 400 billion barrels of crude oil in fracturedcarbonates in alberta, most of this being bitumen of viscosity greater than 106 cp in the grosmontformat...

Highway bridges are frequently constructed as simple span structures with steel or concrete girders and a cast-in-place concrete deck, spanning from one pier to another. At each end of the simple span deck, a joint is provided for deck movement due to temperature, shrinkage, and creep. Bridge deck joints are expensive and pose many problems with regard to bridge maintenance. Elimination of deck...

The central topic of this paper is the alternating greedy expansion of integers, which is defined to be a binary expansion with digits {0,±1} with the property that the nonzero digits have alternating signs. We collect known results about this alternating greedy expansion and complement it with other useful properties and algorithms. In the second part, we apply it to give an algorithm for comp...

The measurements of expansion rate H(z) and the growth fσ8(z) describe evolution universe, both them can constrain cosmological models through data analysis. Due to lack points, these datasets are combined by traditional method (χ2 method) select a best-fitting model. In 2017, Linder proposed joint method, which describes universe H(z)−fσ8 diagram instead redshift z. Compared individual dataset...

Articular cartilage, the load-bearing tissue of the joint, has limited repair and regeneration ability. The scarcity of treatment modalities for large chondral defects has motivated researchers to engineer cartilage tissue constructs that can meet the functional demands of this tissue in vivo. Cartilage tissue engineering requires 3 components: cells, scaffold, and environment. ...

INTRODUCTION The lower ratio of dead load to live load than existing multi-girder bridges, wide girder spacing and simplified structural system of the twin-girder bridges can give rise to change of dynamic characteristics of the bridges. Wider girder spacing and changing of dynamic features will also effect on a vibration serviceability of the bridges. What is worse, according to running vehicl...