i. Union, intersection, set concatenation, Kleene-star, set subtraction, complement Answer: Union: S ∪ T = { x | x ∈ S or x ∈ T} Intersection: S ∩ T = { x | x ∈ S and x ∈ T} Concatenation: S ◦ T = { xy | x ∈ S, y ∈ T} Kleene-star: S = { w1w2 · · ·wk | k ≥ 0, wi ∈ S ∀ i = 1, 2, . . . , k} Subtraction: S − T = { x | x ∈ S, x 6∈ T} Complement: S = { x ∈ Ω | x 6∈ S} = Ω− S, where Ω is the universe ...

The homoleptic, square pyramidal organochromium(III) compound [NBu(4)](2)[Cr(C(6)F(5))(5)] (1) reacts with excess organic isocyanides, CNR [R = (t)Bu, 2,6-dimethylphenyl (Xy)], under dissociation of the apical C(6)F(5) ligand to give the more saturated, singly charged complexes [NBu(4)][trans-Cr(C(6)F(5))(4)(CNR)(2)] [R = (t)Bu (2), Xy (3)], containing six monodentate C-donor ligands. These com...

Although it is known that parental carriers of structural chromosomal rearrangements are associated with recurrent pregnancy loss, subsequent natural pregnancies remain possible. We examined the reproductive outcome of a familial balanced translocation with t(3;6)(q12;q27). Karyotyping of the proband revealed 46,XY chromosomes with the balanced translocation t(3;6). The first 2 pregnancies resu...

We report a phenotypically normal woman with an apparently balanced reciprocal translocation between chromosomes 9 and 18 [46,XX,t(9;18)(p22;p11.2)], giving rise to unbalanced chromosome complements in two of her children, each of whom received a different derivative chromosome. The proband's karyotype is 46,XY,-18,+der(18), t(9;18)(p22;p11.2)mat, which results in a duplication of the distal po...

– The karyotypes of eight species of Geotrupidae are reported and illustrated. Ceratophyus hoffmannseggi Fairmaire has seven pairs of autosomes and sex chromosomes which are Xy (!), XX ("), while Anoplotrupes stercorosus (Scriba), Geotrupes spiniger Marsham, Sericotrupes niger (Marsham), Thorectes geminatus (Gené), T. intermedius (Costa), T. lusitanicus (Jekel) and Trypocopris vernalis (L.) all...

4He confined in nanoporous Gelsil glass is a unique, strongly correlated Bose system exhibiting quantum phase transition (QPT) by controlling pressure. Previous studies revealed that the QPT occurs with four-dimensional (4D) XY criticality, which appears zero-temperature limit of superfluid density. However, P–T diagram also suggested 4D nature at finite temperatures. Here, we have determined c...

Given a vertex-weighted tree T , the split of an edge xy in T is min{sx(xy), sy(xy)} where su(uv) is the sum of all weights of vertices that are closer to u than to v in T . Given a set of weighted vertices V and a multiset of splits S, we consider the problem of constructing a tree on V whose splits correspond to S. The problem is known to be NP-complete, even when all vertices have unit weigh...

We study the time evolution of spin squeezing in one-dimensional spin-1/2 XY model subject to a sudden quantum quench transverse magnetic field. The initial state is selected from ground phase diagram model, consisting ferro- and paramagnetic phases separated by critical value Our analysis, based on exact results for reveals that proper choice protocol, an unsqueezed can create squeezed nonequi...

Derivative 22 [der(22)] syndrome is a rare disorder associated with multiple congenital anomalies including pre-auricular skin tags or pits, conotruncal heart defects, and profound mental retardation. Der(22)t(11;22) is one of the causes of supernumerary chromosome markers (mar) in humans. We present a boy with developmental delay and multiple anomalies consistent with the supernumerary der(22)...

Malignancies in patients with fragile X syndrome are rarely reported. A 42-year-old man with fragile X syndrome presented with precursor B-cell acute lymphoblastic leukemia (ALL). Cytogenetic analysis showed a stemline 46, XY,t(9;22)(q34;qll) and a sideline 46,XY, t(8;14)(q24;qll), t(9;22)(q34;qll). Molecular analysis of the FMR1 gene showed a neoplastic leukemic clone possessing a full expansi...