In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. The proof combined factorizations of SU(N) loops into products of constant SU(N) matrices and loops of the form eA(t) where A(t) are essentially su(2) loops preserving the Lipschitz smoothness, and the careful estimation of errors i...

Studies have found that shear moduli, having the dynamic range of several orders of magnitude for various biological tissues [1], are highly correlated with the pathological statues of human tissue such as livers [2, 3]. The shear moduli can be investigated by measuring the attenuation and velocity of the shear wave propagation in a tissue region. Many efforts have been made to measure shear wa...

We have found 100 X-ray jets in the database of full Sun images taken with the Soft X-ray Telescope (SXT) aboard Yohkoh during the period from 1991 November through 1992 April. A statistical study for these jets results in the following characteristics: 1) Most are associated with small flares (microflaressubflares) at their footpoints. 2) The lengths lie in the range of a few x 10-4 x 10 km. 3...

The analysis of chessboard pebbling by Andrew Odlyzko is strengthened and generalized, rst to higher dimension and then to arbitrary posets. 1 The pebbling game The pebbling game of Kontsevich is played on the grid points of the rst quadrant. One starts with a single pebble on the origin and a move consists of replacing any pebble with two pebbles, one above and one to the right of the vanishin...

The congruence subgroup ^{2, 4, 8) of the group Fi of 4 x 4 integral symplectic matrices is contained in T2(4) and contains T2(8), with Tiin) the principal congruence subgroup of level n . The Satake compactification of the quotient of the three-dimensional Siegel upper half space by T2(2, 4, 8) is shown to be a complete intersection of ten quadrics in P13 . We determine the space of global hol...

We present new recursion relations for tree amplitudes in gauge theory that give very compact formulas. Our relations give any tree amplitude as a sum over terms constructed from products of two amplitudes of fewer particles multiplied by a Feynman propagator. The two amplitudes in each term are physical, in the sense that all particles are on-shell and momentum conservation is preserved. This ...

We present a new version of a shear-wave splitting (SWS) database for the western and central United States (WCUS) using broadband seismic data recorded up to the end of 2014 to update a previous version that used data recorded prior to the end of 2012, when the USArray Transportable Array stations were still recording in the easternmost region of theWCUS. A total of 7452 pairs of additional me...

This paper analyzes the edge-reflection problem of obliquely incident guided waves in a plate. The generalized guided-wave theories in a plate, including the orthogonality of modes and the mode-decomposition method are summarized. The edge-reflection problem is solved on the basis of the mode-decomposition method. Some numerical results are presented and compared to experimental results. [doi:1...

We report research on gestural control of digital music, currently performed at the University of California Irvine. Experiments with various motion capture systems are performed, including single video camera systems and a 3D optical motion capture system (Vicon 8). We present a series of demos of various approaches for motion analysis and gesture-to-sound mapping.

tuned liquid dampers (tld) are among passive control devices that have been used to suppress the vibration of structures in recent years. these structures must be adequately presentable as an equivalent single degree of freedom system with long fundamental period. the tld, located at the top floors of the structure, can dissipate the external input energy into the system through the sloshing ef...