We investigate the asymptotic behavior of the entropy numbers of the compact embedding B1 p1,q1(R d , α) ↪→ B2 p2,q2(R ). Here Bs p,q (R d , α) denotes a weighted Besov space, where the weight is given by wα(x) = (1 + |x |2)α/2, and B2 p2,q2 (Rd ) denotes the unweighted Besov space, respectively. We shall concentrate on the so-called limiting situation given by the following constellation of pa...

Matrix metalloproteinases (MMPs) regulate a wide range of biological functions; hence, they have invited great attention for the studies on their structures and functions, and since their overactivation leads to several diseases, the design and discovery of their potent inhibitors have become the need of the day. Since there have been so far discovered 28 different types of human MMPs, the spec...

We have investigated the S0 → S1 UV vibronic spectrum and time-resolved S1 state dynamics of jet-cooled amino-keto 1-methylcytosine (1MCyt) using two-color resonant two-photon ionization, UV/UV holeburning and depletion spectroscopies, as well as nanosecond and picosecond time-resolved pump/delayed ionization measurements. The experimental study is complemented with spin-component-scaled second...

We consider the problem MAX CSP over multi-valued domains with variables ranging over sets of size si s and constraints involving kj k variables. We study two algorithms with approximation ratios A and B, respectively, so we obtain a solution with approximation ratio max(A,B). The first algorithm is based on the linear programming algorithm of Serna, Trevisan, and Xhafa [Proc. 15th Annual Symp....

Let S1 be the unit circle realized as R/Z. Then a regular closed curve in Rn is a smooth mapping c : S1 → Rn so that the velocity vector c′(t) never vanishes. The tantrix of such a curve is the map t : S1 → Sn−1 given by t(t) = c′(t)/‖c′(t)‖, that is the unit tangent to c parallel translated to the origin. Our goal is to understand which curves t : S1 → Sn−1 can be realized as the tantrix to a ...

An important open problem in operator theory is the invariant subspace problem. Since the problem is solved for all finite dimensional complex vector spaces of dimension at least 2, H denotes a separable Hilbert space whose dimension is infinite. It is enough to think for a contraction T , that is, ‖T‖ ≤ 1 on H . Thus, T ( 6= 0) denotes a contraction in L(H). Let λ always denote an element of t...

Deger C1, Ozdemir O2, Eldem B3, Unlu N4, Alp MN5, Saatci AO6, Ozmert E7, Altintas KA8, Sermet F7, Erdal E1, Sar C1, Asan S1, Sumer F1, Parali E1, Ozel O1 1 Bayer Turk Kimya San. Ltd. Sti., Istanbul, Turkey, 2 Yorum Consultancy Ltd., Istanbul, Turkey, 3 Hacettepe University Faculty of Medicine, Ankara, Turkey, 4 Ankara Training & Research Hospital, Ankara, Turkey, 5 Ankara Numune Training & Rese...

Reduction of virginiamycin S with sodium borohydride produces allo- and normal-dihydro-virginiamycin S. Reduction of the tosylhydrazone of virginiamycin S with sodium cyanoborohydride affords deoxyvirginiamycin S. These compounds are less active than virginiamycin S. Like virginiamycin S they enhance the activity of virginiamycin M1.

Whereas the links between eye movements and the shifts in visual attention are well established, less is known about how eye position affects the prioritization of visual space. It was recently observed that visual sensitivity varies with the direction of gaze and the level of excitability in the eye proprioceptive representation in human left somatosensory cortex (S1(EYE)), so that after 1Hz r...

or respectively 2 m−e 2e )d + 1, 2 m−3e 2e )d + 1, · · · , 2 m+3e 2e −k)d + 1. Then s1, · · · , sk−1 are maximum-length binary sequences of length 2 m − 1. Let C be the F2-vector space generated by all circular shifts of s, s1, · · · , sk−1. Then C has an F2m-vector space structure, and is of dimension k over F2m . When k = 2, C is the Gold code. So we regard C as a Gold type code of relative d...