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Now, we present some useful mathematical relations for the shifted Legendre polynomials.

To develop mathematical relations for occupation time of vehicles with the conflicting flow of traffic at an uncontrolled intersection and a semicontrolled intersection.

Section 6 states mathematical relations for occupation time of vehicles for each vehicle type and turning movement at both intersections, followed by the conclusion section.

We present an efficient methodology for setting up MEMS macromodels which are based on a physical device description and lead to tractable mathematical relations for the device operation.

This paper describes a methodology for accident assessment in the frame of a judicial procedure and provide the formal mathematical relations for the fault tree application to the case.

Koiter's initial postbuckling analysis is applied in the framework of the FEM to deduce mathematical relations for the transition from imperfection sensitivity to insensitivity, which may be achieved by additional supports of the structure.

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The mathematical relation for specific acoustic impedance Z = V × d and adiabatic compressibility β = 1/V 2 × d shows that their behavior is opposite.

Uduak and Skalle (2012) used CFD modeling and experimental observations to find a mathematical relation for non-Newtonian fluid and turbulence flow in annulus.

These latter values were converted in cumulative steel thickness loss versus cumulative time in order to propose a mathematical relation for simulating corrosion in the propagation phase.

But now, Suzana Herculano-Houzel and Bruno Mota a neuroscientist and physicist, respectively, at the Federal University of Rio de Janeiro in Brazil have found a mathematical relation for folding in mammals' brains that appears to be universal.

Inspired by modern deeds of nanotechnology and nanoscience and their abundant applications in the field of science and engineering, we establish a mathematical relation for unsteady 3D forced convective flow of Carreau nanofluid over a bidirectional stretched surface.

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