We revisit the problem of a triad of resonantly interacting nonlinear waves driven by an external force applied to the unstable mode of the triad. The equations are Hamiltonian, and can be reduced to a dynamical system for 5 real variables with 2 conservation laws. If the Hamiltonian, H, is zero we reduce this dynamical system to the motion of a particle in a one-dimensional time-independent po...

Background The Dark Triad literature examining pro-social behaviours is minimal, with mixed results. Participants and procedure This study investigates the relationships between altruistic based on self-report data from 286 adults. Altruism was assessed using two scales: a general measure as well more recent scale measur-ing compassionate altruism towards family, friends, strangers. Results Mac...

This paper concerns the shape theory for triads of spaces which was introduced by the author. More precisely, in the first part, the shape dimension for triads of spaces (X; X0,X1) is introduced, and its upper and lower bounds are given in terms of the shape dimensions of X0, X1, X0 ∩ X1 and X. In the second part, a Whitehead type theorem for triads of spaces and a Mayer-Vietoris type theorem c...