For an abelian variety A over a function field K of characteristic zero equipped with a derivation δ : K → K Manin defined in [Man1], [Man2] a remarkable additive map A(K) → V , where V is a vector space over K, which plays an important role in diophantine geometry over function fields. (Cf. [Co] for a “modern” exposition of Manin’s work. Cf. also [B1], [B2] for a different way of introducing t...

Let A be a factor von Neumann algebra with dimA ? 2. In this paper, it is proved that map : nonlinear mixed Jordan triple ?-derivation if and only an additive ?-derivation.

Abstract: In this article a continuous distribution, the so-called transmuted additive Weibull distribution, that extends the additive Weibull distribution and some other distributions is proposed and studied. Wewill use the quadratic rank transmutation map proposed by Shaw and Buckley (2009) in order to generate the transmuted additiveWeibull distribution. Various structural properties of the ...

A code C is said to be Z2Z4-additive if its coordinates can be partitioned into two subsets X and Y , in such a way that the punctured code of C obtained by removing the coordinates outside X (or, respectively, Y ) is a binary linear code (respectively, a quaternary linear code). The binary image of a Z2Z4-additive code, through the Gray map, is a Z2Z4-linear code, which is not always linear. G...

In phylogenetic analysis, a standard problem is to approximate a given metric by an additive metric. Here it is shown that, given a metric D defined on some finite set X and a non-expansive map f : X → R, the one-parameter family of the Gromov transforms D of D relative to f and ∆ that starts with D for large values of ∆ and ends with an additive metric for ∆ = 0 consists exclusively of metrics...

Neural and cardiovascular responses to mental stress and acute 6 degrees head-down tilt (HDT) were examined separately and combined. We hypothesized sympathoexcitation during mental stress, sympathoinhibition during HDT, and an additive neural interaction during combined mental stress and HDT. Muscle sympathetic nerve activity (MSNA), mean arterial pressure (MAP), and heart rate (HR) were recor...

Let U = Tri(A,M,B) be a triangular algebra, where A, B are unital algebras over a field F and M is a faithful (A,B)-bimodule. Assume that ξ ∈ F and L : U → U is a map. It is shown that, under some mild conditions, L is linear and satisfies L([X, Y ]) = [L(X), Y ] + [X,L(Y )] for any X,Y ∈ U with [X, Y ] = XY − Y X = 0 if and only if L(X) = φ(X) + ZX + f(X) for all A, where φ is a linear derivat...

Let U = Tri(A,M,B) be a triangular algebra, where A, B are unital algebras over a field F and M is a faithful (A,B)-bimodule. Assume that ξ ∈ F and L : U → U is a map. It is shown that, under some mild conditions, L is linear and satisfies L([X, Y ]) = [L(X), Y ] + [X,L(Y )] for any X,Y ∈ U with [X, Y ] = XY − Y X = 0 if and only if L(X) = φ(X) + ZX + f(X) for all A, where φ is a linear derivat...