Graham-Little syndrome, also know as Graham-Little-Piccardi-Lassueur syndrome, is an unusual form of lichen planopilaris, characterized by the presence of cicatricial alopecia on the scalp, keratosis pilaris of the trunk and extremities, and non-cicatricial hair loss of the pubis and axillae. We present the case of a 47-year-old woman whose condition was unusual in that there was a prominence o...

Imiquimod is an immunomodulator with both antitumor and antiviral properties. It is currently available in two cream formulations as Aldara (imiquimod 5%) and the newly approved Zyclara (imiquimod 3.75%). Imiquimod has been associated with localized erythema, crusting, and scaling at the site of application. However, more severe generalized skin eruptions including erythema multiforme, psoriasi...

Sir, Abnormal keratinization of the distal part of the hair follicle can prevent emergence of the growing hair from the follicle and lead to spiral growth within a hyperkeratotic papule, socalled ``rolled hairs'' (1). Rolled hairs have been reported in patients with keratosis pilaris (1), neurodermatitis (1), palmoplantar keratoderma (2), and hypertrichosis (3). The disorder has also been assoc...

1. Let G be a group of finite order g and let U be a subgroup of order g. If f is a complex-valued class function defined on G, i.e. a function whose value remains constant on each of the conjugate classes K1, K2, . . . K, of G, then f can be expressed by the values of the irreducible characters xi, X2, . . *, Xk of G. If we can find a class function f on G, a class function f on G, and an elem...

A noncommutative version of the modified KP equation and a family of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of Darboux transformations and the solutions are verified directly. Furthermore, we present a noncommutative Miura transformation mapping solutions of the noncommutative mKP equation to solutions of the noncommutativ...

We study the additional symmetries associated with the q-deformed Kadomtsev-Petviashvili (q-KP) hierarchy. After identifying the resolvent operator as the generator of the additional symmetries, the q-KP hierarchy can be consistently reduced to the so-called q-deformed constrained KP (q-cKP) hierarchy. We then show that the additional symmetries acting on the wave function can be viewed as infi...

We discuss Lie algebras of the Lie symmetry groups of two generically nonintegrable equations in one temporal and two space dimensions arising in different contexts. The first is a generalization of the KP equation and contains 9 arbitrary functions of one and two arguments. The second one is a system of PDEs that depend on some physical parameters. We require that these PDEs are invariant unde...

The iterated Darboux transformations of an ordinary differential operator are constructively parametrized by an infinite dimensional grassmannian of finitely supported distributions. In the case that the operator depends on time parameters so that it is a solution to the n-KdV hierarchy, it is shown that the transformation produces a solution of the KP hierarchy. The standard definitions of the...

CONTEXT The treatment of edema after a knee injury is usually 1 of the main objectives during rehabilitation. To assess the success of treatment, 2 methods are commonly used in clinical practice: volumetry and perimetry. OBJECTIVE To investigate the intra- and interassessor reliability of volumetry and perimetry to assess knee volume. DESIGN Cross-sectional. SETTING Laboratory. PARTICIP...

We propose a hamiltonian formulation of the N = 2 supersymmetric KP type hierarchy recently studied by Krivonos and Sorin. We obtain a quadratic hamiltonian structure which allows for several reductions of the KP type hierarchy. In particular , the third family of N = 2 KdV hierarchies is recovered. We also give an easy construction of Wronskian solutions of the KP and KdV type equations.