In view of the result of Kontsevich, [5] now often called “the fundamental theorem of Vassiliev theory”, identifying the graded dual of the associated graded vector space to the space of Vassiliev invariants filtered by degree with the linear span of chord diagrams modulo the “4T-relation” (and in the unframed case, originally considered in [7], [5], and [1], the “1T-” or “isolated chord relati...

In the paper, the authors present an explicit form for a family of inhomogeneous linear ordinary differential equations, find a more significant expression for all derivatives of a function related to the solution to the family of inhomogeneous linear ordinary differential equations in terms of the Lerch transcendent, establish an explicit formula for computing all derivatives of the solution t...

A fully non-fused electron acceptor BO-4T with condensed π–π stacking and obvious face-on orientation was developed. The D:A pairing principles for NFREA-based OSCs were explored PM6 works the best BO-4T.

A moderately halophilic, Gram-positive and rod-shaped bacterium, strain m4-4T, was isolated from a Chihuahuan desert lagoon in Cuatro Ciénegas, Coahuila, Mexico. Strain m4-4T was found to grow optimally at 30-37 degrees C, pH 7.0-8.0 and 5 % NaCl and to tolerate from 0.5 % to 10 % NaCl. It was shown to be aerobic. The genomic DNA G+C content was about 37 mol%. Strain m4-4T exhibited minimal or ...

The objective of this work is to investigate the time discretization of two dimensional Navier-Stokes system with the slip boundary conditions. First, the existence of weak solutions for a fixed time step 4t > 0 is presented and then the limit passage as 4t → 0 is carried out. The proof is based on a new technique established for the steady Navier-Stokes equations by Mucha P. B. and Pokorný M. ...

We present a novel temperature/leakage sensor, developed for high-speed, low-power, monitoring of processors and complex VLSI chips. The innovative idea is the use of 4T SRAM cells to measure on-chip temperature and leakage.Using the dependence of leakage currents to temperature, we measure varying decay (discharge) times of the 4T cell at different temperatures. Thus, decaying 4T sensors provi...

We study orthogonal matrices whose elements have moduli ≤ 1. This paper shows that the existence of two such families of matrices is equivalent. Specifically we show that the existence of an Hadamard matrix of order 4t is equivalent to the existence of a 2-level Cretan-Mersenne matrix of order 4t − 1.

In this paper we are presenting preliminary results from 4T technology based CMOS image sensors with global shutter, i.e. all pixels in the active array integrate light simultaneously. The global shutter operation mode is particularly important for high-speed video applications, where the more commonly implemented rolling line shutter creates motion blur. Our chips were fabricated using a 0.18 ...