The three bases of comparison are the time domain, the frequency domain, and the probability density functions. Using the mathematical description of narrow-band noise, the complex demodulation technique for the detection of the alpha-wave envelope is developed and an analog computer circuit for its...
There is a description of developed mathematical models of fractures, which can be used for numerical solution of exploration seismology problems. The base of developed models is the concept of infinitely thin fracture, which aperture does not influence on wave processes in fracture area. These ...
Prior to the seventeenth century, the description of alchemical investigations was carried out in an obscure language full of allegory and metaphor and deliberately lacking in the clear, well-defined concepts which we take to be essential in scientific work. Such texts could only be comprehended by...
The forty vertically arranged circles forming Cusanus's figure U represent the same world structure. Kircher's description almost literally repeats Cusanus's text but without mentioning his source. On conjectures,§67 corresponds to page 451 of Kircher's Universal mathematical art, volume II. This ...
Karl Fulves Q & A a deck is given a known sequence of faro shuffles (e.g. IOIIOOOIOIIOOIO), problem: how to recycle to get original order with faro shuffling Mar. 1968 Epilogue (Issue 2) 15 Cards / Sleights / Shuffles (non-riffle) / Faro Shuffle / Mathematical Facts & ...
Description of the general layout of the computational model. On the top, computational domains: the left heart solid domain\(\widehat{\Omega }^{\textrm{s}}\)in green, the left heart fluid domain\(\Omega ^{\textrm{f}}\)in blue, and the biventricular geometry\(\Omega ^{\textrm{p}}...
This study retrieves some novel exact solutions to the family of 3D space–time fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the context of diverse nonlinear physical phenomena resulting from water wave mechanics. The family of WBBM equations is transformed for this purpose using a...
The description of a system in a finite region Λ ⋐ L is given, thus, by a probability kernel πλ(· | ·), where πΛ(f | ω) represents the equilibrium value of f when the configuration outside Λ is ω. To emphasize this last fact, and for further mathematical convenience,π...
Both the theoretical approach of the mathematical model of Social Gestalts presented in Section 2 and the methods (analysis) in Section 3 of this paper, are an essentially improved description and interpretation of the original model and analysis published in the open access paper by Kretschmer and...
temperature rise and the extent of thermal damage. the following sections describe the manner in which each stage has been implemented in our calculations. geometrical description of the model the geometry used to simulate was based on a 3d model consisting of a volume of tissue with two differen...