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The canal area at each level was calculated using a geometric formula.
After the measurements had been taken, the area at each level was calculated using a standardized geometric formula (Fig. 5).
We prove a geometric formula of Poincaré-type for stable solutions, from which we derive a symmetry result in the spirit of a conjecture of De Giorgi.
Since along-strike stresses are not regarded in the critical taper model, the following simple geometric formula and key equation of the critical taper model can be applied: α + β = ψ b − ψ 0. where ψb is the angle between σ1 and the basal surface.
Joint circumference was calculated using the geometric formula of ellipse circumference (2π × v a2 + b /2) as previously described [ 32].
Ankle circumference was determined by using the geometric formula: circumference = 2 π (√(a2 + b/2)), where a is the laterolateral diameter, and b is the anteroposterior diameter.
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To determine an image's authenticity, the software uses geometric formulas to analyze shadows to determine if they are all physically consistent with a light source.
Further geometric formulas related object positions to the necessary joint angles needed to allow a robot arm to grasp them, or the steering and drive motions to get a mobile robot around (or to) the object.
Brunelleschi used mathematical modules and geometric formulas for the plan and elevation of the Pazzi Chapel, as he had in San Lorenzo, but he arranged the space in a more complex and sophisticated manner in the later building.
In this paper we derive some geometric formulas for the quotient of the zeta functional determinants for certain elliptic boundary value problems on Riemannian 3 and 4-manifolds with smooth boundary.
Volumetry (water displacement) was considered the gold standard until fairly recently but was not practical clinically, and instead, circumferential measurement of limb segments was used, alongside geometric formulae to enable estimation of volume.
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