高速・高精度なマルコフ確率場の最適化計算手法に関する研究

Tohoku University岡谷貴之課

Defining relations of 3-dimensional cubic AS-regular algebras of Type P, S and T

Classification of AS-regular algebras is one of the most important projects in noncommutative algebraic geometry. Recently, Itaba and the first author gave a complete list of defining relations of $3$-dimensional quadratic AS-regular algebras by using the notion of geometric algebra and twisted superpotential. In this paper, we extend the notion of geometric algebra to cubic algebras, and give a geometric condition for isomorphism and graded Morita equivalence. One of the main results is a complete list of defining relations of $3$-dimensional cubic AS-regular algebras corresponding to $\mathbb{P}^1 \times \mathbb{P}^1$ or a union of irreducible divisors of bidegree $(1,1)$ in $\mathbb{P}^1 \times \mathbb{P}^1$. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their defining relations.Comment: 20 pages, 2 table

Single Crystal Growth at High Pressure (SOLID STATE CHEMISTRY-Multicomponent Materials)

Single crystals of a spin-1/2 Heisenberg alternating chain compound, high pressure phase of (VO)2P2O7 , was grown by slowly cooling the melt at 3 GPa. Powder XRD study at high pressure using synchrotron radiation was performed in advance to observe the formation and the melting of this compound

Plasma lipid profiling of different types of hepatic fibrosis induced by carbon tetrachloride and lomustine in rats

Supplementary tables. Table S1. Class, m/z, retention time, ion of detected and identified lipid molecules, and determined their fatty side chains. Table S2. Normalized levels of lipid molecules in individual samples. Table S3. Fold change and p-value of the levels of lipid molecules. (XLSX 317 kb