THE INTEGRAL TABLES OF THE ELLIPTIC FUNCTIONS BY LEGENDRE AND ITS APPLICATION BY POISSONN (Mathematical aspects of nonlinear waves and their applications)

We introduce Legendre's elliptic functions with his theory and construction of the Tables in origin of 1825-26 [1]. Legendre emphasizes his theory's superiority to Euler's integral theory, (as you know, this is entitled with'Eulerlian integral'on the total title, of theses huge volumes 1-3 of books), above all, the concept of echelon and the complete functions on which we discuss specially. Succedingly, we introduce Poisson's applications of Legendre's elliptic functions to the capillary model owing to the theory and table by Legendre, which Poisson gives up the self made theories based on the same elliptic functions including tables. Poisson discusses the heat problems, in which he also applies the elliptic functions and tables in the Earth's science, ln 1835. Both application may be the first orthodox applications of Legendre's theory to the nonlinear differential equations. Hence, all these topics are the translations from the original by me

HEAT EQUATIONS BY FOURIER AND POISSON (Mathematical Aspects and Applications of Nonlinear Wave Phenomena)

We discuss the historical wave theories including the fluid dynamics, the heat theory, in particular, that of Fourier and Poisson. We think, from the heat theories, we have had the many mathematically fruitful productions of derivatives from the heat theories, such as the trigonometric series, the eigenvalue problems and the rapidly decreasing function

Increasing vegetable intake 400 g/day can control body weight and lipid profile in overweight hyperlipidemia menopausal women

Background: Indonesia suffers growing health problems like obesity, diabetes, and other metabolic syndromes with dietary habit as one of risk factors. To control the lipid and glycaemic profile, high fibre intake has been recommended. This study administered 400g/day vegetable intake with its fiber contents and observed the effects in lipid profile and glycaemic control.Design: A parallel study of 30 pairs of menopausal women match paired in overweight, menopause, hyperlipidaemia, age, etc randomly divided into two groups (vegetable and control). The baseline data obtained from questionnaire and preliminary blood-withdrawn of consented participants, then matched the characteristics included the results of lipid profile and glycated albumin. The administration was conducted for 21days by providing 400g/day of vegetable to the vegetable group subjects. Nutrition assessments were conducted at the baseline, middle, and final period. The data were analysed by using the unpaired and paired t-test.Results: Significant results (p<0.05) were seen in biochemical variables in the lipid profile of total cholesterol, LDL cholesterol, and HDL cholesterol and body weight and BMI within the vegetable group. Significant results for the same variables were shown between vegetable and control group at the final data (p<0.05). The nutrition assessments result showed significances (p<0.05) within vegetable group and between two groups on the final data. After 21 days, significant decreases were found on the intakes of energy, lipids, carbohydrates (p<0.05), while vegetable intake and fiber intake showed significant increases (p<0.05).Conclusion: These data suggest that maintaining a healthy diet of 400 g/d vegetable can be effective in weight management and lipid profile control

Substellar Companions to Evolved Intermediate-Mass Stars: HD 145457 and HD 180314

We report the detections of two substellar companions orbiting around evolved intermediate-mass stars from precise Doppler measurements at Subaru Telescope and Okayama Astrophysical Observatory. HD 145457 is a K0 giant with a mass of 1.9 M_sun and has a planet of minimum mass m_2sini=2.9 M_J orbiting with period of P=176 d and eccentricity of e=0.11. HD 180314 is also a K0 giant with 2.6 M_sun and hosts a substellar companion of m_2sin i=22 M_J, which falls in brown-dwarf mass regime, in an orbit with P=396 d and e=0.26. HD 145457 b is one of the innermost planets and HD 180314 b is the seventh candidate of brown-dwarf-mass companion found around intermediate-mass evolved stars.Comment: 16 pages, 4 figures, accepted for publication in PAS

Microbial Community Composition of Two Environmentally Conserved Estuaries in the Midorikawa River and Shirakawa River

To provide a general overview of the microbial communities in environmentally conserved estuaries, the top 5 cm of sediment was sampled from the sandy estuary of the Shirakawa River and from the muddy estuary of the Midorikawa River. Higher amounts of organic matter were detected in the Midorikawa estuary sample than in the Shirakawa estuary sample. Measurement of redox potential revealed that the Shirakawa estuary was aerobic and the Midorikawa estuary was much less aerobic. Clone analysis was performed by targeting partial 16S rRNA gene sequences and using extracted DNA from the samples as a template. Various bacteria were detected, among which Gammaproteobacteria was dominant at both estuaries. Unclassified clones were detected in the Gammaproteobacteria group, mainly among samples from the Midorikawa estuary. Other detected bacterial groups were Alphaproteobacteria, Deltaproteobacteria, Chloroflexi, Actinobacteria, and Bacteroidetes. All the Deltaproteobacteria clones were anaerobic sulfate-reducing bacteria. Those aerobic and anaerobic bacteria coexisted in the top 5 cm of the estuary sediments indicating the surface layer have active sulfur and carbon cycle. Abundance of aerobic Gammaproteobacteria may be an indicator for conserved estuaries

Structural basis for improved efficacy of therapeutic antibodies on defucosylation of their Fc glycans

Removal of the fucose residue from the N-glycans of the Fc portion of immunoglobulin G (IgG) results in a dramatic enhancement of antibody-dependent cellular cytotoxicity (ADCC) through improved affinity for Fcγ receptor IIIa (FcγRIIIa). Here, we present the 2.2-Å structure of the complex formed between nonfucosylated IgG1-Fc and a soluble form of FcγRIIIa (sFcγRIIIa) with two N-glycosylation sites. The crystal structure shows that one of the two N-glycans of sFcγRIIIa mediates the interaction with nonfucosylated Fc, thereby stabilizing the complex. However, fucosylation of the Fc N-glycans inhibits this interaction, because of steric hindrance, and furthermore, negatively affects the dynamics of the receptor binding site. Our results offer a structural basis for improvement in ADCC of therapeutic antibodies by defucosylation

Planetary Companions to Evolved Intermediate-Mass Stars: 14 Andromedae, 81 Ceti, 6 Lyncis, and HD 167042

We report on the detection of four extrasolar planets orbiting evolved intermediate-mass stars from a precise Doppler survey of G and K giants at Okayama Astrophysical Observatory. All of the host stars are considered to be formerly early F-type or A-type dwarfs when they were on the main sequence. 14 And (K0 III) is a clump giant with a mass of 2.2 M_solar and has a planet of minimum mass m_2sin i=4.8 M_Jup in a nearly circular orbit with a 186 day period. This is one of the innermost planets around evolved intermediate-mass stars and such planets have only been discovered in clump giants. 81 Cet (G5 III) is a clump giant with 2.4 M_solar hosting a planet of m_2sin i=5.3 M_Jup in a 953 day orbit with an eccentricity of e=0.21. 6 Lyn (K0 IV) is a less evolved subgiant with 1.7 M_solar and has a planet of m_2sin i=2.4 M_Jup in a 899 day orbit with e=0.13. HD 167042 (K1 IV) is also a less evolved star with 1.5 M_solar hosting a planet of m_2sin i=1.6 M_Jup in a 418 day orbit with e=0.10. This planet was independently announced by Johnson et al. (2008, ApJ, 675, 784). All of the host stars have solar or sub-solar metallicity, which supports the lack of metal-rich tendency in planet-harboring giants in contrast to the case of dwarfs.Comment: 23 pages, 6 figures, accepted for publication in PAS