Education to be a regional leader through " time of the regional exploration "

departmental bulletin pape

Generalization of “Division of Fractions with Pentagonal Cycle” Problem for Developing Teaching Materials : Proposals for Elementary, Jr. High, and High School Mathematics

The aims of this paper are generalizing the “Division of fractions with pentagonal cycle” problem and proposing this problem as a teaching material for school mathematics. “Division of fractions with pentagonal cycle” problem is a problem for students to find regularity of a sequence that can be expressed by a recursion formula of an+2 = (an+1 + 1) / an. Moreover, this number sequence is a circulating number sequence and has an interesting property of an+5 = an. First, we explored this problem mathematically, and found that mathematical value of this problem is “circulation of the sequence derived from the original title” and “it can generalize these sequences”. We also clarified that pedagogical value of this problem is “the debate derives from various recurrence formulas and questions”. Based on the above, we proposed the “Division of fractions with pentagonal cycle” as teaching materials in elementary, junior high, and high school mathematics by using the format of teaching units (TU) or Substantial Learning Environments (SLEs) by Wittmann (1984, 2001).textapplication/pdfdepartmental bulletin pape

Observation of the DsJ(2317) and DsJ(2457) in B Decays

journal articl

A NOTE ON CYCLIC COLORATIONS AND MINIMAL TRIANGULATIONS

application/pdfLet ＄M＄ be a closed 2-manifold. A face coloring of a triangulation ＄T＄ of ＄M＄ is called a cyclic coloration if, for any vertex, the incident faces have different colors. Let ＄V(T)＄ denote the vertex set of ＄T＄ . We conjecture that there will be found a constant ＄C(M)＄ so that ＄|V(T)|+C(M) colors are enough for cyclic coloration of any triangulation ＄T＄ of ＄M＄. When ＄M＄ is not the projective plane, we conjecture that ＄|V(T)|＄ colors will suffice, whenever ＄T＄ is minimal with respect to the number of vertices. If this conjecture is true, the formula for the minimum number of vertices in a triangulation of a given 2-manifold with boundary is determined to have at most one gap.departmental bulletin pape

The school network.

Nodes represent schools. Different colors correspond to administrative districts of Saint Petersburg. Two schools are connected if there is a friendship tie between their students. For visual clarity, only strong connections (at least three friendship ties) are shown.</p

Probability of a friendship tie between two schools as a function of distance between these schools.

For close schools, the probability is 0.75 and it then declines with distance following the power law (inset).</p

Correlation between educational outcomes of schools and their 20 closest geographical (a) and digital neighbors (b).

While there is no correlation for physical neighbors, there is a relatively strong correlation for digital neighbors. These results hold true regardless of the number of neighbors used in the analysis.</p

DNA hypermethylation in arsenic-induced malignancies: a casuallink or a molecular paradigm

Arsenic is recognized as a toxicant and a poor mutagenic carcinogen. Non-occupational exposure to low or high concentrations of arsenic affects millions of people throughout the world including India. Although arsenic is a poor mutagen, it is known to cause various types of malignancies notably melanoma, oropharyngeal squamous cell carcinoma, cervical cancer, and esophageal cancer. Arsenic induced tumors show increased DNA methylation at the promoter regions of important tumor suppressor genes such as p16 and p53, suggesting an epigenetic mechanism of gene silencing in these kinds of tumors. The extent of DNA hypermethylation in such genes upon exposure to various levels of arsenic can be studied by performing simple methylation specific PCR using primers that can specifically target methylated DNA. Sequencing can also be done to validate the results of PCR. Further, the expression of p1 6 protein can be studied to confirm the results. The results obtained from the study would be helpful in early detection of DNA hypennethylation, which could be useful in predicting the risk of cancer in arsenic contaminated regions. In addition, studies on pharmacological reversal of DNA hypermethylation of tumor suppressor genes may offer therapeutic options to individuals exposed to arsenic.othe

First slices of N-HSQC NMR experiments on complexes of UN-labeled SL1-es kissing dimer and NCp7 in the 2:0, 2:1, 2:2 and 2:4 RNA strand-to-protein ratios at 15°C

<p><b>Copyright information:</b></p><p>Taken from "Nucleocapsid protein-mediated maturation of dimer initiation complex of full-length SL1 stemloop of HIV-1: sequence effects and mechanism of RNA refolding"</p><p></p><p>Nucleic Acids Research 2007;35(6):2026-2034.</p><p>Published online 6 Mar 2007</p><p>PMCID:PMC1874624.</p><p>© 2007 The Author(s)</p> Only signals from imino protons of uridines are observed in this experiment

Electrophoretic behavior of various SL1 constructs; ‘M’ and ‘D’ indicate the position of monomers and dimers, respectively

<p><b>Copyright information:</b></p><p>Taken from "Nucleocapsid protein-mediated maturation of dimer initiation complex of full-length SL1 stemloop of HIV-1: sequence effects and mechanism of RNA refolding"</p><p></p><p>Nucleic Acids Research 2007;35(6):2026-2034.</p><p>Published online 6 Mar 2007</p><p>PMCID:PMC1874624.</p><p>© 2007 The Author(s)</p> SL1 RNA was run in native 10% polyacrylamide gels at 100 V in either TBE or TBM buffer. () Kissing dimers (KDs) of SL1 in TBE buffer. () KDs of SL1 in TBM buffer. () KDs of SL1 constructs were incubated for 1 h at either 25 or 55°C as indicated and separated in PAGE run in TBE buffer. Only linear dimers of SL1 migrate as dimers in TBE buffer