1 Acknowledgments First, I would like to thank my advisors: Nati Linial and Tali Tishby of the computer science department and Michal Linial of the life science department at the Hebrew University. Within the last ve years we have come a long way together, and I'm grateful for their guidance, support, warmth and generous help all these years. I would like to thank my colleagues and friends in t...

Abstract To meet the increasing desire for a means of powering wearable and portable devices, development high‐performance flexible aqueous rechargeable lithium‐ion batteries (FARLIBs) would be greatly desirable. The design binder‐free cathode materials with 3D architectures is key to develop FARLIBs. Herein, self‐standing Ni‐doped LiMn 2 O 4 (NLMO) nanosheets are successfully prepared assemble...

Consider a vector space V (which can be of finite dimension). From linear algebra we know that at least in the finite-dimension case V has a basis. Moreover, there are more than one basis and in general different bases are the same. However, in some cases when the vector space has some additional structure, some basis might be preferable over others. To give a more concrete example consider the...

Let PG(q) denote the number of proper q-colorings of a graph G. This function, called the chromatic polynomial of G, was introduced by Birkhoff in 1912, who sought to attack the famous four-color problem by minimizing PG(4) over all planar graphs G. Since then, motivated by a variety of applications, much research was done on minimizing or maximizing PG(q) over various families of graphs. In th...

''~'H¡ is a radioisotope that emits highly cytotoxic a-particles. aparticles have a high linear energy transfer over a short path length. These properties and the l-li half-life make this isotope suitable for radioimmunotherapy of peritoneal tumors. Therefore, we wanted to test whether monoclonal antibodies labeled with 2UBi would be effective in treating such tumors. We conjugated the antibod...

In this paper we extend the lower bound technique by Linial for local coloring and maximal independent sets. We show that constant approximations to maximum independent sets on a ring require at least log-star time. More generally, the product of approximation quality and running time cannot be less than log-star. Using a generalized ring topology, we gain identical lower bounds for approximati...

7] A. Orlitsky. Worst-case interactive communication II: Two messages are not optimal. 11] H. Witsenhausen. The zero-error side information problem and chromatic numbers. 14] J. Friedman. Constructing o(n log n) size monotone formula for the kth threshold function on n variables. A m be determined for m 3? For one-way amortized complexity, let (k) be the chromatic number of G (k) , then ^ A 1 =...

Prolactin reverses the inhibitory effects of phammacologi cal doses of androgen on 7,12-dimethylbenz(a)anthracene induced mammary tumor growth (Quadri, S. K. , Kledzik, G. S., and Meites, J. J. NatI. Cancer Inst., 52: 875-878, 1974). To determine whether this effect is due to an alteration in the ability of the tumor cell to bind prolactin, we have quantitated prolactin receptors in androgen-me...

Derrick Tilton Vail was born in Cincin­ nati, Ohio, May 15, 1898, the son of Der­ rick and Delia Harriss Vail and the middle of five children. During his adolescent years he resented this position as his two older brothers continually ganged up to make him babysit for the two younger sisters (fig. 1). He went to a very small private school where he was a member of every athletic team—an accompl...