Nevus lipomatosus superficialis is a rare hamartomatous malformation which is composed of ectopic adipocytes in the dermis. It was first reported in 1921 by Hoffmann and Zurhelle. Two clinical forms of nevus lipomatosus superficialis have been described: classical (multiple) and solitary. Classical form of nevus lipomatosus superficialis is usually found on pelvic girdle, trunk, buttocks and thighs as soft, skin colored papules or nodules. It is usually present at birth or it appears in the first two decades of life. The solitary form of lipomatosus superficialis appears as a solitary papule or nodule on the back, scalp and arms of the patients with late onset. The lesions are usually asymptomatic, however some patients may complain about pain and itching. Malignant transformation of nevus lipomatosis superficialis has not been reported yet. Therefore, surgical intervention is only necessary for the patients who have cosmetic concerns. Recurrence after surgical removal is very rare. Perineum is an uncommon localization for nevus lipomatosus superficialis. Hereby, we report a 55-year-old Caucasian female with a 6x5,5x4 cm mass in the perineal region. The patient had cosmetic concerns, therefore she wanted the lesion to be removed surgically. The lesion was surgically removed. The histopathological evaluation of the specimen revealed nevus lipomatosus superficialis. A solitary type of giant nevus lipomatosus superficialis in the perineal region of a patient over the age of 50 is a very rare condition. Even rarely seen, nevus lipomatosus superficialis should be kept in mind in the differential diagnosis of perineal masses., Funda Tamer, Mehmet Eren Yuksel, and Literatura
Let $\Omega$ be a bounded open subset of $\mathbb{R}^{n}$, $n>2$. In $\Omega$ we deduce the global differentiability result \[u \in H^{2}(\Omega, \mathbb{R}^{N}) \] for the solutions $u \in H^{1}(\Omega, \mathbb{R}^{n})$ of the Dirichlet problem \[ u-g \in H^{1}_{0}(\Omega, \mathbb{R}^{N}), -\sum _{i}D_{i}a^{i}(x,u,Du)=B_{0}(x,u,Du) \] with controlled growth and nonlinearity $q=2$. The result was obtained by first extending the interior differentiability result near the boundary and then proving the global differentiability result making use of a covering procedure.
This paper introduces a neurodynamics optimization model to compute the solution of mathematical programming with equilibrium constraints (MPEC). A smoothing method based on NPC-function is used to obtain a relaxed optimization problem. The optimal solution of the global optimization problem is estimated using a new neurodynamic system, which, in finite time, is convergent with its equilibrium point. Compared to existing models, the proposed model has a simple structure, with low complexity. The new dynamical system is investigated theoretically, and it is proved that the steady state of the proposed neural network is asymptotic stable and global convergence to the optimal solution of MPEC. Numerical simulations of several examples of MPEC are presented, all of which confirm the agreement between the theoretical and numerical aspects of the problem and show the effectiveness of the proposed model. Moreover, an application to resource allocation problem shows that the new method is a simple, but efficient, and practical algorithm for the solution of real-world MPEC problems.
A Gold Standard Word Alignment for English-Swedish (GES) is a resource containing 1164 manually word aligned sentences pairs from English and Swedish versions of Europarl v. 2.
The data can be found here: https://www.ida.liu.se/labs/nlplab/ges/
A Gold Standard Word Alignment for English-Swedish (GES) is a resource containing 1164 manually word aligned sentences pairs from English and Swedish versions of Europarl v. 2.