The linkage level of a pollinator is described by a sum of geometric (new links) and binomial (removal of links) variables.
The geometric transformation linking both homodimers requires a simple translation without any rotational component.
To prove Theorem 1.5, we try to find a critical point of the functional Φ (see (2.5)) in E. We prove that Φ has a linking geometric structure and use a linking theorem under (C) c condition (see Theorem 2.1 in [11]) to get a (C) c -sequence { z n } ⊂ E of Φ.
The first robotics vision programs, pursued into the early 1970s, used statistical formulas to detect linear boundaries in robot camera images and clever geometric reasoning to link these lines into boundaries of probable objects, providing an internal model of their world.
Previous theoretical work on single-stream jet noise conducted at Lockheed is used to developed an analytical model, based on geometric acoustics, to link the acoustic and flow characteristics of coannular jets.
Three strategies have been proposed to define the Orthoglide geometric parameters (manipulator link lengths and actuated joint limits) as functions of a cubic workspace size and dextrous properties expressed by bounds on the velocity transmission factors, manipulability or the Jacobian condition number.
The β coefficient for "Died-in-ICU", as a main effect, ranged from +29.7% (treatment effects regression, log scale) to +300% (OLS, raw scale), consistent with the β estimates for the factor "Death" of +0.536 (age < 65 years) and +0.439 (age ≥ 65 years) reported by Angus et al. [ 5], using a GLM (geometric family, identity link).
By generating proper active motion that maintains the contact, the geometric information of the contact link is collected to estimate the edge of the contact terrain.
So, the functional possesses no mountain-pass structure but the linking geometric structure, which is more complicated to handle.
With the increasing scale of project size, geometric detail and linked information, the complexity of such models has also been steadily increasing.
