For assembly tasks parts often have to be oriented before they can be put in an assembly. The results presented in this paper are a component of the automated design of parts orienting devices. The focus is on orienting parts with minimal sensing and manipulation. We present a new approach to parts orienting through the manipulation of pose distributions. Through dynamic simulation we can deter...

In this paper we establish three results on small-height zeros of quadratic polynomials over Q. For a single quadratic form in N ≥ 2 variables on a subspace of Q , we prove an upper bound on the height of a smallest nontrivial zero outside of an algebraic set under the assumption that such a zero exists. For a system of k quadratic forms on an L-dimensional subspace of Q , N ≥ L ≥ k(k+1) 2 + 1,...

Background: Short children face many problems throughout their lives. Consumption of growth hormone and the drugs such as Letrozole, Oxandrolone, and Anastrozole can increase the growth of children and adolescents. There is not an overall estimate of the effects of Letrozole, Oxandrolone, and Anastrozole on the growth of children and adolescents with Idiopathic Short Stature (ISS). There are di...

For assembly tasks parts often have to be oriented before they can be put in an assembly. The results presented in this paper are a component of the automated design of parts orienting devices. The focus is on orienting parts with minimal sensing and manipulation. We present a new approach to parts orienting through the manipulation of pose distributions. Through dynamic simulation we can deter...

In sparse Cholesky factorization, nding elimination orderings that produce small ll-in is very important and various heuristics have been proposed. For parallel computations, good orderings should produce elimination trees of low height. Finding optimal ll-in orderings and nding optimal height orderings are NP-hard problems. A class of Nested Dissection orderings with minimal separators, has be...

In hierarchical clustering, clusters are defined as branches of a cluster tree. The constant height branch cut, a commonly used method to identify branches of a cluster tree, is not ideal for cluster identification in complicated dendrograms. We describe a new dynamic branch cutting approach for detecting clusters in a cluster tree based on their shape. Compared to the constant height cutoff, o...

Dynamic behavior of ground supported cylindrical storage tanks (CST) is of crucial importance because of its applications in industrial complexes. Seismic behavior of tanks is greatly affected by the height to diameter ratio, fluid height and fluid type. Five CSTs with different height to diameter ratios, three CSTs with the same height and diameters but various fluid heights and one CST with t...

A suitable measure for the similarity of shapes represented by parameterized curves or surfaces is the Fr echet distance. Whereas e cient algorithms are known for computing the Fr echet distance of polygonal curves, the same problem for triangulated surfaces is NP-hard. Furthermore, it remained open whether it is computable at all. Using a discrete approximation we show that it is upper semi-co...

We present a novel fabrication method for patterning PDMS thin films on solid surfaces. The method allows microstructures with precise lateral dimensions and heights to be formed using PDMS. We have applied this technology to form microfluidic channel units, reaction chambers, and micro elastic gaskets. This new fabrication method could potentially give rise to an efficient and reliable approac...