Given two functions f, g : {0, 1}n → {0, 1} a mapping ψ : {0, 1}n → {0, 1}n is said to be a mapping from f to g if it is a bijection and f(z) = g(ψ(z)) for every z ∈ {0, 1}n. In this paper we study Lipschitz mappings between boolean functions. Our first result gives a construction of a C-Lipschitz mapping from the Majority function to the Dictator function for some universal constant C. On the ...

Nomenclature A k , a k Fourier series coefficients, d mean difference between theoretical and experimental stress values, i square root of –1, m mapping function shape descriptor, r, θ polar coordinates in the mapping plane, s standard deviation in the difference between stress values, t distance from the crack tip, x, y Cartesian coordinates in the physical plane, z complex coordinate in the p...

Liquefaction is one of the most determinant factors in the collapse of transportation infrastructures. This is especially true for roads and railroads located on saturated, fine-sand substrates under seismic conditions. The damage and human casualties resulting from liquefaction highlight the importance of understanding and mapping this phenomenon. Soil liquefaction occurs as a natural hazard i...

In this research we have implemented the Random Vortex Method to calculate velocity fields of fluids inside open cavities in both turbulent and laminar flows. the Random Vortex Method is a CFD method (in both turbulent and laminar fields) which needs the Schwarz-Christoffel transformation formula to map the physical geometry into the upper half plane. In some complex geometries like the flow in...

I have developed expressions for calculating the ratios (mapping functions) of the "line of sight" hydrostatic and wet atmospheric path delays to their corresponding zenith delays at radio wavelengths for elevation angles down to 3o. The coefficients of the continued fraction representation of the hydrostatic mapping function depend on the latitude and height above sea level of the observing si...

An empirical tropospheric delay model, together with a mapping function, is commonly used to correct the tropospheric errors in global navigation satellite system (GNSS) processing. As is well-known, the accuracy of tropospheric delay models relies mainly on the correction efficiency for tropospheric wet delays. In this paper, we evaluate the accuracy of three tropospheric delay models, togethe...

In this paper we show some strange features of multidimensional data and their influence on classification. We introduce the probability distribution mapping function, and the distribution density mapping function which maps probability density distribution of points in n-dimensional space to a similar distribution in one-dimensional space of distances. The power approximation of the probabilit...

g20 world brain mapping initiative (neuroscience/n-20) is putting brain mapping on the top of global economic issues the society for brain mapping, therapeutics, and brain mapping foundation are propelling therapeutic advances in nano-neurosurgery, nano-bio-electronics, artificial intelligence, neuro-supercomputing and ‘cross-pollination’ among the bio-medical sciences and engineering worldwide...

the focus of this study is to analyze the text world of omar khayyam's poetry by a novel approach called cognitive poetics. to examine the author’s/reader's text world, the study has employed freeman’s model (1998). she believes that conceptual mapping in literary texts can operate at three different levels including “attribute mapping,” “relational mapping,” and “system mapping.” through readi...