Abstract: This paper provides a condition to determine the frequency response gain of sampled-data systems is less than a given positive number for its bisection computation. In contrast to existing conditions, there is no assumption on the norm of the related state space compression operators. The derived condition also unifies the computation of the frequency response gain of sampled-data sys...

The line-bisection task, adapted to utilise a wooden rod as the bisection stimulus, has revealed that patients with visuo-spatial neglect may be more accurate at bisection when asked to pick up the rod, compared to pointing to its centre. We recently reported that neurologically intact participants show a similar dissociation on this task-demonstrating a rightward bias when pointing to the cent...

We give a polynomial time algorithm that given a graph which admits a bisection cutting a fraction (1 − ε) of edges, finds a bisection cutting a (1 − g(ε)) fraction of edges where g(ε) → 0 as ε→ 0. One can take g(ε) = O( 3 √ ε log(1/ε)). Previously known algorithms for Max Bisection could only guarantee finding a bisection that cuts a fraction of edges bounded away from 1 (in fact less than 3/4...

Spatial localization was investigated for each eye of amblyopic observers using a bisection paradigm. The stimuli were comprised of a grating composed of bright lines, and a test line. The test line was either placed above the grating (bisection-no overlap) or within the row of lines comprising the grating (bisection-with overlap) and thresholds for each bisection task were measured as a functi...

The bisection method is the consecutive bisection of a triangle by the median of the longest side. In this paper we prove a subexponential asymptotic upper bound for the number of similarity classes of triangles generated on a mesh obtained by iterative bisection, which previously was known only to be finite. The relevant parameter is γ/σ, where γ is the biggest and σ is the smallest angle of t...

The effect of hemianopia on line bisection is not known. To study this, manual line bisection in 30 patients with unilateral cerebral hemispheric lesions was examined. The mean bisection point in a group of eight patients with left hemineglect was biased rightward (ipsilaterally), as expected. Among the remaining 22 patients, eight had right hemianopic visual defects, eight had left hemianopic ...

In the planted bisection model a random graph G(n, p+, p−) with n vertices is created by partitioning the vertices randomly into two classes of equal size (up to ±1). Any two vertices that belong to the same class are linked by an edge with probability p+ and any two that belong to different classes with probability p− < p+ independently. The planted bisection model has been used extensively to...