Abstract In evolutionary game theory, pair interactions are usually defined through so-called payoff matrices, which can be decomposed as linear combinations of basis matrices that represent just four different orthogonal interaction types. this paper, we take the first steps in exploring utility decomposition ecology. We introduce componental cosines irrelevant, external, coordination, and con...

Propus (which means twins) is a construction method for orthogonal ±1 matrices based on the propus array A B C D C D −A −B B −A −D C D −C B −A. This construction, based on circulant symmetric ±1 matrices, called propus matrices, is aimed to give aesthetically pleasing visual images (pictures) when converted using MATLAB. It gives symmetric Hadamard matrices. We give two constructions and note t...

IR-IR double-resonance experiments were used to study the state-to-state rotational relaxation of CO with Ne as a collision partner. Rotational levels in the range Ji=2-9 were excited and collisional energy transfer of population to the levels Jf=2-8 was monitored. The resulting data set was analyzed by fitting to numerical solutions of the master equation. State-to-state rate constant matrices...

The concepts of unitary evolution matrices and associative memory have boosted the field of Recurrent Neural Networks (RNN) to state-of-the-art performance in a variety of sequential tasks. However, RNN still have a limited capacity to manipulate long-term memory. To bypass this weakness the most successful applications of RNN use external techniques such as attention mechanisms. In this paper ...

We propose a new algorithm for the non-negative ICA problem, based on the rotational nature of optimization over a set of square orthogonal (orthonormal) matrices W, i.e. where W W = WW = In. Using a truncated Fourier expansion of J(t), we obtain a Newton-like update step along the steepest-descent geodesic, which automatically approximates to a usual (Taylor expansion) Newton update step near ...

In most robotic applications, tactile sensors are modeled as rigid matrices of adjacent pressure sensing elements so that the geometric deformations of their surfaces are neglected. This paper proposes to define these deformations as rotational and translational compliances that are later used as new tactile features for tactile servoing tasks. In fact, a novel two-layered inverse tactile Jacob...

The frequencies and line strengths of the 2 Π 3/2 J=5/2–3/2 rotational transition of 17 OH have been calculated from an analysis of its far-infrared laser magnetic resonance spectrum. These results have been used to make the first detection of a pure rotational transition of 17 OH in the ISM. Two resolved components of this transition appear in absorption towards the giant molecular cloud Sagit...

Space-configurational features of atactic poly(acrylic acid) in unperturbed and expanded states were analyzed in terms of the extending and coiling tendency of the backbone bond rotational states. Conformational energy calculations were performed for dyads using semi-empirical relations and the statistical analyses using statistical weight matrices U' and U" for respective dyad skeletal bond pa...

For a restricted class of potentials (harmonic+Gaussian potentials), we express the resolvent integral for the correlation functions of simple traces of powers of complex matrices of size N , in term of a determinant; this determinant is function of four kernels constructed from the orthogonal polynomials corresponding to the potential and from their Cauchy transform. The correlation functions ...