PROJECT EVALUATION: FROM THEORY TO APPLICATIONS

Optical Elastography: From Theory to Clinical Applications

Flexural Toppling Failure in Rock Slopes: From Theory to Applications

Toppling failure is one of the most common modes of failure of rock slopes in layered rock strata. Flexural toppling is one of the well-known modes of the failure. This type of failure occurs due to bending stress. In this article, a brief yet comprehensive review of toppling failure is presented. Firstly, the conditions and general mechanism of the failure are described. Then, experimental, th...

Applications of subordination theory to starlike functions

Let $p$ be an analytic function defined on the open unit disc $mathbb{D}$ with $p(0)=1.$ The conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{C}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. Similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of Bernoulli $|w^{2}-1|=1$ ...

flexural toppling failure in rock slopes: from theory to applications

toppling failure is one of the most common modes of failure of rock slopes in layered rock strata. flexural toppling is one of the well-known modes of the failure. this type of failure occurs due to bending stress. in this article, a brief yet comprehensive review of toppling failure is presented. firstly, the conditions and general mechanism of the failure are described. then, experimental, th...

Project Application: Lie Theory and Applications

be a polynomial with all roots real, smoothly parametrized by t near 0 in R. Can we find n smooth functions x1(t), . . . , xn(t) of the parameter t defined near 0, which are the roots of P (t) for each t? We showed that this is possible under quite general conditions: real analyticity or no two roots should meet of infinite order. Some applications to perturbations of unbounded operators in Hil...