In modern computer architecture the use of memory hierarchies causes a program's data locality to directly aaect performance. Data locality occurs when a piece of data is still in a cache upon reuse. For dense matrix computations, loop transformations can be used to improve data locality. However, sparse matrix computations have non-aane loop bounds and indirect memory references which prohibit...

In AdS/CFT correspondence, an AdS2×S D3-brane with electric flux in AdS5× S5 spacetime corresponds to a circular Wilson loop of symmetric representation or a multiply wound one in N = 4 super Yang-Mills theory. In order to distinguish the symmetric loop and the multiply wound loop, one should see an exponentially small correction in large ’t Hooft coupling. We study semi-classically the disk op...

For a linear time-invariant system with a feedback controller, the closed-loop eigenvalues perturb due to system uncertainties. Given an allowable tolerance for the closed-loop eigenvalue perturbation, an algorithm is developed to obtain a state feedback controller that maximizes the uncertainty tolerance of the open-loop system matrix. The design procedure is based on an existing eigenvalue as...

Background: Recently, the surgical methods are used in patients with anterior cruciate ligament rupture and have been associated with successful results. There are different results in the term of using of the surgical methods for anterior cruciate ligament that often is associated with some complications such as infection, static laxity, remaining the pain, need to recurrence surgery, and limi...

The B-B̄ mixing, B-meson lifetimes, the Bs-B̄s lifetime difference and SUSY FCNC effects in ∆B = 2 processes are very important measurable quantities in B-meson phenomenology whose theoretical predictions depend on unknown matrix elements of several four–fermion operators. We present preliminary results for the matrix elements of the relevant four–fermion operators computed on a sample of 600 lat...

Tissue inhibitors of metalloproteinases (TIMPs), the endogenous inhibitors of matrix metalloproteinases, have been shown to possess biological functions that are independent of their ability to inhibit matrix metalloproteinases. We have previously shown that the C-terminal domain of TIMP-2 and, in particular, Loop 6 inhibit capillary endothelial cell proliferation and angiogenesis both in vitro...

The development of controller usually involves two major steps: A design step in which a generalised plant is constructed, followed by a synthesis step in which an optimisation problem is solved for the generalised plant. Frequency-Domain analysis methods are commonly used in the design step; for example loop-shaping. In this paper we develop a new frequency-domain analysis method for periodic ...

Loop analysis is a powerful tool for analyzing matrix population models. This note shows that the results of loop analysis, which have been proved for constant matrices only, apply to stochastic matrices as well if elasticity is defined as the effect of a proportional perturbation of both mean and variance. Using the ideas of loop analysis, it is shown that the structure of the stochastic matri...