With this analytic approximation contact height and width can be readily estimated and could be incorporated into an algorithm to adjust the tool path.
In the elderly, a convenient approximation of height is arm span (Patterson 1994).
We thus defined as a feature the correlation of the measured z-positions of RNAs and the background intensity (approximation for cell height).
Calculated settling velocities and heat transfer rates give an overall column height approximation.
The simulated measurements are inverted using an iterative, sometimes weighted, least-squares method to give an approximation to the height of the conductor as a function of position.
d After lip approximation, symmetric lip height was attained.
As a first approximation, ignoring the height variability gives L ¯ ≈ b ( πN ) a / 2 + d. (15) A second order approximation can be obtained applying the delta method (a 2nd order Taylor expansion around L ¯ ) on the left-hand side of (11), leading to L ¯ ≈ b [ 1 + ( 2 − a ) C 2 / a 2 ] a / 2 1 ( πN ) a / 2 + d, (16).
The implications for prosthetic design are as follows: stem design and insertion should respect the insertion facet of the supraspinatus, a constant head inclination is an adequate approximation, only one head height per radius is required, and the capability for adjustment of medial offset is mandatory.
Let (tilde{u}=(a_u,b_u,c_u,d_u;h_u)) be an arbitrary known non-positive trapezoidal fuzzy semi-number, for the consistent nearest approximation via (hbox{HSD}_s), with height (h_v), where (tilde{v}=(a_v,b_v,c_v,d_v;h_v) in F_{h_v}({mathbb{R}})), Lemmas 22 and 23 are obtained.
Let (tilde{u}=(a_u,b_u,c_u,d_u;h_u)) be an arbitrary non-negative trapezoidal fuzzy semi-number, for the consistent nearest approximation via (hbox{HSD}_s), with height (h_v), where (tilde{v}=(a_v,b_v,c_v,d_v;h_v) in TF_{h_v}({mathbb{R}})), the Lemmas 17 and 18 can be derived.
