Consider the real vector space P2 of all polynomials of degree at most 2. High-school students study the roots of the polynomials in P2, while linear algebra students study linear transformations on P2. Is it possible to bring these two groups together to do some joint research? For example, a linear algebra student chooses a specific linear transformation T : P2 → P2 and asks others to study t...

Corneal opacities can obstruct ophthalmology examination in patients before penetrating keratoplasty (PK).To assess the usefulness of visual evoked potentials (VEPs) in estimating postoperative visual acuity (VA) in patients eligible for (PK) with opaque cornea in 1 eye and good VA in the fellow eye.In this observational study, the mean age of 52 males and 48 females was 57.17 ± 15.99 (21-87 ye...

The DNA of helper-dependent coliphage P4 and the DNA of its helper-P2-show no detectable sequence homology as measured by DNA.DNA hybridization. The lack of cross-hybridization permits direct analysis of P4 as well as of P2 transcription in P4-infected P2 lysogens by RNA.DNA hybridization. P4-transactivated P2 transcription can be detected around 20 min after P4 infection of the P2 lysogen and ...

The recent report of P2–Na2/3Mg0.28Mn0.72O2 (P2-NMM) demonstrated the possibility utilizing oxygen redox couple in a layered oxide cathode without need for alkali ions or vacancies transition metal layer. In this work, we synthesis new P2-type compound, Na2/3Mg1/4Mn7/12Co1/6O2 (P2-NMMC), which exhibits reversible specific capacities as high 173 mAh g?1 and an improvement first cycle voltage hys...

The growth of blood vessels (a process known as angiogenesis) is essential for organ growth and repair. An imbalance in this process contributes to numerous malignant, inflammatory, ischaemic, infectious and immune disorders. Recently, the first anti-angiogenic agents have been approved for the treatment of cancer and blindness. Angiogenesis research will probably change the face of medicine in...

Phosphatidylinositol-4,5-bisphosphate [PI(4,5)P2] is essential for exocytosis. Classical ways of manipulating PI(4,5)P2 levels are slower than its metabolism, making it difficult to distinguish effects of PI(4,5)P2 from those of its metabolites. We developed a membrane-permeant, photoactivatable PI(4,5)P2, which is loaded into cells in an inactive form and activated by light, allowing sub-secon...

Activation of several inwardly rectifying K channels (Kir) requires the presence of phosphatidylinositol 4,5bisphosphate (PtdIns(4,5)P2). The constitutively active Kir2.1 (IRK1) channels interact with PtdIns(4,5)P2 strongly, whereas the G-protein activated Kir3.1/3.4 channels (GIRK1/GIRK4), show only weak interactions with PtdIns(4,5)P2. We investigated whether these inwardly rectifying K chann...

Transcription of the mouse parathyroid hormone (PTH)/PTH-related peptide (PTHrP) receptor (PTHR) gene is controlled by promoters P1 and P2. We performed transcript-specific in situ hybridization and found that P2 is the predominant promoter controlling PTHR gene expression in bone and cartilage. Treatment with 1alpha, 25-dihydroxyvitamin D3 (D3) in vivo specifically downregulated P2-specific tr...

The master differential equations in the external square momentum p2 for the master integrals of the two-loop sunrise graph, in n-continuous dimensions and for arbitrary values of the internal masses, are derived. The equations are then used for working out the values at p2 = 0 and the expansions in p2 at p2 = 0, in (n− 4) at n → 4 limit and in 1/p2 for large values of p2. ——————————PACS 11.10....

We determine the linear complexity of a family of p2-periodic binary threshold sequences derived fromFermat quotientsmodulo an odd prime p, where p satisfies 2p−1 ≡ 1 (mod p2). The linear complexity equals p2 − p or p2 − 1, depending whether p ≡ 1 or 3 (mod 4). Our research extends the results from previous work on the linear complexity of the corresponding binary threshold sequences when 2 is ...