A link L in S has a 2n-plat projection for some n, as shown in Figure 1, where a box on the i-th row and j-th column consists of 2 vertical strings with aij left-hand half twist; in other words, it is a rational tangle of slope 1/aij. See for example [BZ]. Let n be the number of boxes in the even rows, so there are n − 1 boxes in the odd rows. Let m be the number of rows in the diagram. It was ...

Let A = (aij) n i,j=1 be a Hermitian matrix of size n ≥ 2, and set

Carum copticum is a grassy and annual plant which is believed to have several therapeutic effects, including anti-asthmatic properties. We have therefore studied the bronchodilatory and anticholinergic effects of 4 rnL aqueous extract (AE), 0.0 5 mL ethanol extract (EE), and 0.0 0 5 mL essential oil (EO) of Carum copticum and 1 rnL of a 5 mM solution of its main ingredient, thymol (T), in ...

In this paper we prove a new result in graph theory that was motivated by considerations in mathematical economics; more precisely by the problem of price formation in an exchange economy [3]. The aggregate demand/supply in the economy is described by an n × n matrix A = (aij) where aij is the amount of commodity j that is on offer for commodity i. In this context one defines a market-clearing ...

in the exterior domain Ω(1) := {x ∈ RN : ‖x‖ > 1}, where p > 1, x = (x1, . . . ,xN ) ∈ RN , N ≥ 2, Du= (∂u/∂x1, . . . ,∂u/∂xN ), ‖x‖ is usual Euclidean norm in RN . Throughout this paper we will assume that (A1) p ∈ C loc(Ω(1)), 0 < μ < 1, and p > 1 constant, (A2) A = (Aij(x))N×N is a real symmetric positive define matrix function with Aij ∈ C 1+μ loc (Ω(1)), i, j = 1, . . . ,N , and 0 < μ < 1....