We are going to discuss in brief and without proof the equality case in Theorem 1.1. Before we can do this, we need to establish a notation: The notation (a1; a2; :::; an) (b1; b2; :::; bn) is going to mean that for every two numbers i and j from the set f1; 2; :::; ng ; we have aibj = biaj: Note that if all numbers b1; b2; :::; bn are nonzero, then (a1; a2; :::; an) (b1; b2; :::; bn) is equiva...

The cytochrome domain of flavocytochrome b2 (L-lactate dehydrogenase) was expressed in the bacterium Escherichia coli and a purification procedure was developed. When expressed in E. coli, the b2-cytochrome domain contains protohaem IX and has an electronic absorption spectrum identical with that of the cytochrome b2 'core' produced by proteolytic cleavage of the enzyme isolated from yeast. The...

Recent studies have shown that ephrin-B2 on sensory afferent fibers from the dorsal root ganglia (DRG) controls transmission of pain sensation to the spinal cord. We examined ephrin-B2 expression in mouse DRG and spinal cord using an ephrin-B2/ß-galactosidase chimeric allele. We found that ephrin-B2 is expressed exclusively in proprioceptive neurons and fibers in neonates, while expression in l...

Let X be an n–element finite set, 0 < k < n/2 an integer. Suppose that {A1, B1} and {A2, B2} are pairs of disjoint k-element subsets of X (that is, |A1| = |B1| = |A2| = |B2| = k,A1 ∩ B1 = ∅, A2 ∩ B2 = ∅). Define the distance of these pairs by d({A1, B1}, {A2, B2}) = min{|A1−A2|+ |B1−B2|, |A1−B2|+ |B1−A2|}. It is known ([2]) that this is really a distance on the space of such pairs and that the ...

More than 98% of the mammalian genome is noncoding, and interspersed transposable elements account for ∼50% of noncoding space. Here, we demonstrate that a specific interaction between the polycomb protein EZH2 and RNA made from B2 SINE retrotransposons controls stress-responsive genes in mouse cells. In the heat-shock model, B2 RNA binds stress genes and suppresses their transcription. Upon st...

Proof: We proved in class (Proposition 2.4.1) that there is at least one triangle-or-anti-triangle, call its vertices {a1, a2, a3}. There are at least three additional distinct vertices, b1, b2, and b3. If all of b1, b2, and b3 are adjacent to each other, then {b1, b2, b3} is a triangle. If none of b1, b2, and b3 is adjacent to any other, then {b1, b2, b3} is an anti-triangle. Assume without lo...

First-principles calculations are presented for parent B2 phase and martensitic B19 and B190 phases in NiTi. The results indicate that both B19 and B190 are energetically more stable than the parent B2 phase. By means of ab initio density functional theory, the complete distortion–shuffle energy landscape associated with B2? B19 transformation in NiTi is then determined. In addition to accounti...

We use ab-initio Quantum Mechanics to study the zero temperature phase diagram of BaO. We calculate zero temperature Equations of State of different crystalline phases [B1 (NaCl), B8(NiAs), B2(CsCl), and distorted B2] using Density Functional Theory (DFT) with the generalized gradient approximation (GGA). We find the B1 structure to be the thermodynamically stable one at zero pressure; followed...

The functions of the Ndc80/Hec1 subunit of the highly conserved Ndc80 kinetochore complex are normally restricted to M phase when it exerts a pivotal kinetochore-based role. Here, we find that in mouse oocytes, depletion of Hec1 severely compromises the G2-M transition because of impaired activation of cyclin-dependent kinase 1 (Cdk1). Unexpectedly, impaired M phase entry is due to instability ...