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The geometry of the redesigned gas channel is generated using a B-spline curve method, which enables the shape of the fuel channel to be completely specified using only a small number of control points, thus applying the technique of parameter estimation for the inverse design problem.
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Limb accuracies of approaching 0.1 pixel accuracy enabled the shape of Ceres to be determined to be rotationally symmetric with a short axis of 909 km and a long axis of 975 km.
Osteoclasts enable the shaping of bone architecture in early life, remodel the skeleton during adulthood and pave the way to bone loss during old age.
Although such techniques are limited by an inherent developability constraint, the rational design of the crease and cut patterns enables the shape-shifting of (nearly) inextensible sheets into geometries with apparent intrinsic curvature.
These ancillary data will enable the shape and scale of environmental exposure to be defined in considerable detail.
To overcome the mathematical challenges imposed by the complex geometries of inclusion-matrix interface and matrix boundary, the inclusion is replaced with an arbitrarily-sided polygon, which enables 1) the shape of inclusion to be closely approximated and 2) the gap function on the inclusion-matrix interface to be evaluated by Cauchy integrals performed on the straight edges.
The image analysis method enabled characterizing the shape of droplets, by determining the droplet minor and major axis lengths.
Consideration of continuity of deflection and of slope and compatibility of bending moment and shearing force at the first step enabled the mode shape of the second portion to be expressed as the superposition of two functions but multiplied by the same constants as in the first portion.
It enables finding out the shape of region around the target pixel and the proper weight coefficients.
This is guaranteed by using the boundary optimization in Step (ii) which enables to preserve the shape of cylinders/cones.
This provides a global representation of shape rather than reducing shape to a series of linear measurements which enables the analysis of shape variation across datasets.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com