Trick: Deal 27 cards, face up onto a table in three columns with 9 cards in each. Ask your victim to choose a card but not to tell you what it is. Three times, ask in which column the card lies, and each time, collect the cards, putting the selected column between the cards in the other two columns, leaving the columns in order, and then deal the cards again by rows to make the next set of colu...

Given a matrix A ∈ Rm×n (n vectors in m dimensions), we consider the problem of selecting a submatrix (subset of the columns) with maximum volume. The motivation to study such a problem is that if A can be approximately reconstructed from a small number k of its columns (A has “numerical” rank k), then any set of k independent columns of A should suffice to reconstruct A. However, numerical sta...

An algorithm is presented and analyzed that, when given as input a d-mode tensor A, computes an approximation Ã. The approximation à is computed by performing the following for each of the d modes: first, form (implicitly) a matrix by “unfolding” the tensor along that mode; then, choose columns from the matrices thus generated; and finally, project the tensor along that mode onto the span of th...

We present measurements of the oxygen abundance of the Milky Way’s ISM by observing the K-shell X-ray photoionization edge towards galaxy clusters. This effect is most easily observed towards objects with galactic columns (nH) of a few times 1021 cm−2. We measure X-ray column densities towards 11 clusters and find that at high galactic columns above approximately 1021 cm−2 the X-ray columns are...

In rodents, each mystacial whisker is represented in the granular layer of primary somatosensory (SI) cortex by a compact cluster of cells known as a barrel, and barrels are separated from each other by domains that are called septa. Vertical columns of neurons aligned with each barrel act as a functional assembly to process information from a "principal" whisker, but a functional role has not ...

This paper describes sixteen fire tests conducted on slender circular hollow section columns filled with normal and high strength concrete, subjected to concentric axial loads. The test parameters were the nominal strength of concrete (30 and 80 MPa), the infilling type (plain concrete, reinforced concrete and steel fiber reinforced concrete) and the axial load level (20% and 40%). The columns ...

We investigate the errors associated with the use of circular cylinders as surrogates for hexagonal columns in computing the optical properties of pristine ice crystals at infrared (8-12-microm) wavelengths. The equivalent circular cylinders are specified in terms of volume (V), projected area (A), and volume-to-area ratio that are equal to those of the hexagonal columns. We use the T-matrix me...

A double column procedure was devised for simultaneous estimation of norepinephrine, normetanephrine, dopamine, 3-methoxytyramine, and 5-hydroxytryptamine in brain tissue. Columns of aluminum oxide were placed on columns of Amberlite CG-50 by use of a specially devised column holder so that the effluent from the upper columns could flow directly into the lower ones. Perchloric acid extracts of ...

Abstract Dividing-wall columns(DWC) are intensified distillation systems for multicomponent separations. They have the potential to save both energy and capital costs significantly than conventional simple column configurations. The several DWC columns for ternary distillations have been figured out by some creative activities from different inventors. Recently they have gained the momentum to ...

Current design practice of concrete-filled steel tube (CFST) columns uses different formulas for different section profiles to predict the axial load bearing capacity. It has always been a challenge and practically important issue for researchers and design engineers who want to find a unified formula that can be used in the design of the columns with various sections, including solid, hollow, ...