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Spinoza's magnum opus, the Ethics, borrowed much from Descartes: the goal of a rational understanding of principles, the terminology of "substance" and "clear and distinct ideas," and the expression of philosophical knowledge in a complete deductive system using the geometric model of the Elements of Euclid (flourished c. 300 bc).
This method supports a designer in determining the location of split-lines by using the geometric model of the product.
Parallel processing using the library of subroutines OpenFoam v2.11 was performed using the geometric model and boundary conditions from experimental measurements performed by Roback and Johnson [13], see a review in Table 1.
This study focuses on development of an analytical model which is an extension to the Bekker theory to predict the tractive performance for a metal flexible wheel by using the geometric model of the wheel in deformation.
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The simulated yarn architecture using the geometric modeling can be used as a starting point for different calculations.
Figure 4 shows the geometric shape of the different types of images when they are subjected to a horizontal set. Figure 5 is the stable edge contour by using the geometric contour model iteration when 512 × 512 Lena images are subject to rotation of 10°, 30°, and 45° and a variety of shear attacks.
Vertical profiles of LAI were derived at 0.3 m height intervals from the Laser Vegetation Imaging Sensor (LVIS) data using the Geometric Optical and Radiative Transfer (GORT) model.
Numerical simulations were carried out using Abaqus, with C3D8I element used to mesh the geometric model.
The results of forward modeling BRFs for a 5.25 km2 area in the USDA, ARS Jornada Experimental Range using the Simple Geometric Model (SGM) with this background showed good agreement with the MISR data in both shape and magnitude, with only minor spatial discrepancies.
Thus, curve skeleton becomes convenient to define and process objects used in the geometric modeling.
In both cases, the best results were achieved using the inverse geometric model, possibly due to the large number of bicliques it inherently contains.
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