Axis is a term for many things: the axis of cart, rotation, coordinates, symmetry... Originally, was part cart to which wheels are attached. In it visible and material, but more often understood as an imaginary straight line, gives idea peculiarities formation object ways its ordering. It naive think that order forming-up architectural subject only architect’s own will, architects draw they wis...

We consider the family of relative Thue equations x − (t− 1)xy − (t+ 2)xy − y = μ, where the parameter t, the root of unity μ and the solutions x and y are integers in the same imaginary quadratic number field. We prove that there are only trivial solutions (with |x|, |y| ≤ 1), if |t| is large enough or if the discriminant of the quadratic number field is large enough or if Re t = −1/2 (there a...

the symbolic cultural order becomes manifest through language in the case of texts and narratives and through images in the case of art. knowledge of the elements that compose the symbolic order is an essential analytical tool, above all for comparative studies of art, literature and religion. in this way, many of the symbolic references that exist in each culture can be illuminated by examples...

The Dirac equation is not semisimple. We therefore construct it as a contraction of a simple theory. The underlying simple structure is necessarily purely algebraic and non-local. It consists of many isomorphic distinguishable qubits with Clifford-Wilczek statistics and spin h̄/2, having a Clifford algebra with 6N generators as algebra of observables. The quantum imaginary ih̄ arises as the vacuu...

Here we develop simple numerical algorithms for both stationary and non-stationary solutions of the timedependent Gross-Pitaevskii (GP) equation describing the properties of Bose-Einstein condensates at ultra low temperatures. In particular, we consider algorithms involving realand imaginary-time propagation based on a split-step Crank-Nicholson method. In a one-space-variable form of the GP eq...

Decision-tree algorithms provide one of the most popular methodologies for symbolic knowledge acquisition. The resulting knowledge, a symbolic decision tree along with a simple inference mechanism, has been praised for comprehensibility. The most comprehensible decision trees have been designed for perfect symbolic data. Classical crisp decision trees (DT) are widely applied to classification t...

Unlike the Metelli monochrome transparencies, when overlays and their backgrounds have chromatic content, the inferred surface colors may not always be physically realizable, and are in some sense "imaginary." In these cases, the inferred chromatic transmittance or reflectance of the overlay lies outside the RGB spectral boundaries. Using the classical Metelli configuration, we demonstrate this...