We prove a BV estimate for scalar conservation laws that generalizes the classical Total Variation Diminishing property. In fact, for any Lipschitz continuous monotone Φ : R→ R, we have that |Φ(u)|TV (R) is nonincreasing in time. We call this property Total Oscillation Diminishing because it is in contradiction with the oscillations observed recently on some numerical computations based on TVD ...

In this paper we describe a process used for conceiving new products for the Brazilian interactive TV platform. Considering all the restrictions and many aspects of context and usage, we proposed and refined an interaction design process. This process was applied to design three new interactive products. To capture details from context, the process started with intensive qualitative research in...

The tail probabilities of two weighted sums of independent gamma random variables are compared when the first vector of weights majorizes the second vector of weights. The conjecture that the two cumulative distribution .functions cross exactly once is established in four special cases by means of the variation-diminishing property of totally positive kernels. Bounds are obtained for the locati...

Wild chimpanzees routinely share high-value resources such as meat obtained through hunting and fruit procured from raiding crops. Although it is predicted that the proximate mechanisms for sharing behaviour are the result of reciprocity, interchange and mutualism, examinations of these factors in captivity have not mirrored the degree to which they are found in the wild. The goal of the curren...

We prove that isentropic gas flow does not admit non-degenerate TVD fields on any invariant set M(r0, s0) = {r0 < r < s < s0}, where r, s are Riemann coordinates. A TVD field refers to a scalar field whose spatial variation VarX(φ(τ(t,X), u(t,X))) is nonincreasing in time along entropic solutions. The result is established under the assumption that the Riemann problem defined by an overtaking s...

The one–dimensional differential equations for the conservation mixture mass and mixture momentum coupled by a relative velocity conservation equation have been solved for an isentropic mixture of gas and liquid two–phase flow. Under certain restrictions the resulting system of partial differential equations is hyperbolic and allow discontinuous solutions. These equations have been solved by th...