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111.
Tetsuya Abe 《Graphs and Combinatorics》2002,18(3):395-402
A pair (x,y) of elements in a lattice is mismatching if x is join-irreducible, y is meet-irreducible, and xy. The excess of a lattice L is defined by ex(L):=|L|− min{|V
x
|+|I
y
|:(x,y) is mismatching}, where V
x
(I
y
) is the principal filter (ideal) generated by x(y), respectively. In the first half of this paper, it is shown that a lattice has excess zero (one) if and only if it is isomorphic
to a Boolean lattice (one of a chain of length two, a diamond, and a pentagon), respectively. In the second half, we show
that for each relatively complemented lattice which is not Boolean, its size is at most five times its excess. Moreover we
determine extremal configurations.
Received: September 2, 1999 Final version received: July 25, 2000
Acknowledgments. The author thanks the referee for constructive comments.
Present address: Bureau of Human Resources, National Personnel Authority, 1-2-3 Kasumigaseki, Chiyoda-ku, Tokyo 100-8913, Japan. e-mail: abetet@jinji.go.jp 相似文献
112.
Tetsuya Momotani 《Proceedings of the American Mathematical Society》2006,134(9):2541-2548
As a generalization of recent work by Kurokawa, Matsuda, and Wakayama (2004) we introduce a higher Riemann zeta function for an abstract sequence. Then we explicitly determine its regularized product expression.
113.
114.
Iwao Okamoto Mayumi Nabeta Misaki Yamamoto Maiko Mikami Tetsuya Takeya Osamu Tamura 《Tetrahedron letters》2006,47(40):7143-7146
An aromatic N-methyl amide containing N-(2-pyridyl) and 2,6-pyridinedicarboxamide moieties switches its conformation from cis to trans depending upon the acceptor number of solvents. 相似文献
115.
Tetsuya Hattori 《Journal of statistical physics》2007,127(3):609-627
Let W(x,y) = ax
3+ bx
4+ f
5
x
5+ f
6
x
6+ (3 ax
2)2
y+ g
5
x
5
y + h
3
x
3
y
2 + h
4
x
4
y
2 + n
3
x
3
y
3+a
24
x
2
y
4+a
05
y
5+a
15
xy
5+a
06
y
6, and X = , , where the coefficients are non-negative constants, with a > 0, such that X
2(x,x
2)−Y(x,x
2) is a polynomial of x with non-negative coefficients.
Examples of the 2 dimensional map Φ: (x,y)↦ (X(x,y),Y(x,y)) satisfying the conditions are the renormalization group (RG) maps (modulo change of variables) for the restricted self-avoiding
paths on the 3 and 4 dimensional pre-gaskets.
We prove that there exists a unique fixed point (x
f
,y
f
) of Φ in the invariant set .
2000 Mathematics Subject Classification Numbers: 82B28; 60G99; 81T17; 82C41. 相似文献
116.
Ryosuke Sakae Dr. Koji Hirano Prof. Dr. Tetsuya Satoh Prof. Dr. Masahiro Miura 《Angewandte Chemie (International ed. in English)》2015,54(2):613-617
A copper‐catalyzed aminoboration of bicyclic alkenes, including oxa‐ and azabenzonorbornadienes, has been developed. With this method, amine and boron moieties are simultaneously introduced at an olefin with exo selectivity. Subsequent stereospecific transformations of the boryl group can provide oxygen‐ and nitrogen‐rich cyclic molecules with motifs that may be found in natural products or pharmaceutically active compounds. Moreover, a catalytic asymmetric variant of this transformation was realized by using a copper complex with a chiral bisphosphine ligand, namely (R,R)‐Ph‐BPE. 相似文献
117.
Tetsuya Uematsu 《Mathematische Zeitschrift》2015,279(3-4):1047-1066
118.
Masafumi UedaYuki Ikeda Aoi SatoYuta Ito Maiko KakiuchiHiroko Shono Tetsuya MiyoshiTakeaki Naito Okiko Miyata 《Tetrahedron》2011,67(25):4612-4615
A facile and practical synthesis of 3,5-disubstituted isoxazoles via a silver-catalyzed cyclization and subsequent protonation of alkynyl oxime ethers has been developed. The methodology was successfully applied to the synthesis of a biologically active isoxazolecarboxylic acid. 相似文献
119.
Tetsuya Shimizu Yasuka Komatsu Hidenobu Kamihata Young Hoon Lee Akira Fuyuhiro Seiichiro Iijima Shinya Hayami 《Journal of inclusion phenomena and macrocyclic chemistry》2011,71(3-4):363-369
Iron(III) spin-crossover compounds, [Fe(qnal)2]CF3SO3·MeOH (1·MeOH) and [Fe(qnal)2]CF3SO3·acetone (1·acetone) were prepared and their spin transition properties were characterized by magnetic susceptibility measurement, Mössbauer spectroscopy and single crystal analysis. Two iron(III) compounds exhibited abrupt spin transition with thermal hysteresis loop (T 1/2?? = 115 K and T 1/2?? = 104 K for 1·MeOH, and T 1/2?? = 133 K and T 1/2?? = 130 K for 1·acetone). Single crystal analysis revealed both of the structures in high-spin (HS) and low-spin (LS) states for 1·acetone. The difference of bond length between the HS and LS states for 1·acetone was ~0.10 Å, which was corresponding to that of typical iron(III) SCO compounds. Specially, it showed strong intermolecular interactions by ???C?? stacking formed between the neighbor complexes leading to 2-D sheet. Both 1·MeOH and 1·acetone exhibited LIESST effect when it was illuminated at 1000 nm. We also confirmed that the introduction of strong intermolecular interactions, such as ???C?? stacking, can play an important role in LIESST effect. 相似文献
120.
Iwanaga A Asakawa H Fukuma T Nakamichi M Shigematsu S Linder MB Haruyama T 《Colloids and surfaces. B, Biointerfaces》2011,84(2):3020-399
A groundbreaking method for ordered molecular layer preparation on a solid surface employing the drop-stamp method has been developed by us taking advantage of the characteristics of the HFB molecule as a self-organizer/adsorption carrier. It is a smart method which can be used to prepare a self-organized protein layer on a solid surface without unspecific adsorption or defects. In our previous report, we clarified the self-organizing nature of HFB-tagged protein molecules on a surface of a solution droplet. In this report, a protein layer was prepared on a HOPG surface by using the drop-stamp method with a maltose binding protein (MBP)-tagged HFBII molecule. The structure of the stamped protein layer was investigated using frequency modulation atomic force microscopy (FM-AFM) in a liquid condition. The FM-AFM images show that the drop-stamp method can prepare an ordered protein layer on a solid surface smartly. The drop-stamp method using a HFB carrier is a practical method which can be used to prepare an ordered protein layer on a solid substrate surface without unspecific adsorption defects. 相似文献