Lupus vulgaris which is a mucocutaneous form of Tuberculosis is not an uncommon condi-tion. But the disease resulting in excessive destruction is rare today. We report a case of lupus vulgaris which almost completely destroyed the nose.

Abigail Tucker is a professor at King's College London, UK and her lab works on various aspects of craniofacial development - from basic, evolutionary and clinical biology perspectives. This year, Abigail will be awarded the first Cheryll Tickle Medal by the British Society for Developmental Biology (BSDB). We chatted with Abigail about her research, her commitment to public engagement and the ...

A very general optimization problem with a variational inequality constraint, inequality constraints, and an abstract constraint are studied. Fritz John type and Kuhn–Tucker type necessary optimality conditions involving Mordukhovich coderivatives are derived. Several constraint qualifications for the Kuhn–Tucker type necessary optimality conditions involving Mordukhovich coderivatives are intr...

In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent...

This paper investigates the existence and uniqueness of solutions to rst-order nonlinear boundary value problems (BVPs) involving fuzzy dif- ferential equations and two-point boundary conditions. Some sucient condi- tions are presented that guarantee the existence and uniqueness of solutions under the approach of Hukuhara dierentiability.

This work is concerned with approximating a trivariate function defined on tensor-product domain via evaluations. Combining tensorized Chebyshev interpolation Tucker decomposition of low multilinear rank yields approximations that can be computed and stored very efficiently. The existing Chebfun3 algorithm [Hashemi Trefethen, SIAM J. Sci. Comput., 39 (2017)]uses similar format but the construct...