As they design, plan, and execute AEC projects, engineers today construct task-specific geometric views based on information contained in other engineers’ geometric views. Traditionally, engineers have constructed these views manually, using pencils and more recently CAD. Manually constructing views is often difficult, time-consuming, and error-prone. Newer approaches develop central project mo...

We show that two families of equations, the generalized inviscid Proudman–Johnson equation and r-Hunter–Saxton (recently introduced by Cotter et al.), coincide for a certain range parameters. This gives new geometric interpretation these equations as geodesic right invariant homogeneous $$W^{1,r}$$ -Finsler metrics on diffeomorphism group. Generalizing construction Lenells Hunter–Saxton equatio...

We introduce the notion of quadratic hull a linear code, and give some its properties. then show that any symmetric bilinear multiplication algorithm for finite-dimensional algebra over field can be obtained by evaluation-interpolation at simple points (i.e. degree multiplicity 1) on naturally associated space, namely corresponding code. This also provides geometric answer to questions such as:...

We present a formal geometric framework for the study of adiabatic quantum mechanics arbitrary finite-dimensional non-degenerate Hamiltonians. This generalizes earlier holonomy interpretations phase to non-cyclic states appearing non-Hermitian start with an investigation space operators on state space. then show how energy bands Hamiltonian family form covering Likewise, we that eigenrays bundl...

Several techniques exist to select and materialize a proper set of data in a suitable structure that manage the queries submitted to the online analytical processing systems. These techniques are called view management techniques, which consist of three research areas: 1) view selection to materialize, 2) query processing and rewriting using the materialized views, and 3) maintaining materializ...

Guided by the principles of geometric independent component analysis (ICA), we present a new approach (SOMICA) to linear geometric ICA using a self-organizing map (SOM). We observe a considerable improvement in separation quality of different distributions, albeit at high computational costs. The SOMICA algorithm is therefore primarily interesting from a theoretical point of view bringing toget...

 Analysis and management of geometric distortions on multi-view displays with only horizontal parallax Amir Said, Bruce Culbertson HP Laboratories HPL-2012-2 Light field display; multi-view display parallax Light field (multi-view) displays are often designed to support horizontal parallax only (HPO) since this significantly reduces complexity compared to full parallax, and is commonly assumed...