Specht’s Problem and Its Solution in the Affine Case (Characteristic 0)

Keyword(s):  
1952 ◽  
Vol 4 ◽  
pp. 73-78
Author(s):  
Yûsaku Kawahara

In the book “Foundations of algebraic geometry” A. Weil proposed the following problem ; does every differential form of the first kind on a complete variety U determine on every subvariety V of U a differential form of the first kind? This problem was solved affirmatively by S. Koizumi when U is a complete variety without multiple point. In this note we answer this problem in affirmative in the case where V is a simple subvariety of a complete variety U (in §1). When the characteristic is 0 we may extend our result to a more general case but this does not hold for the case characteristic p≠0 (in §2).


2014 ◽  
Vol 9 (1) ◽  
pp. 1934578X1400900 ◽  
Author(s):  
Marcelo A. Muñoz ◽  
Solange Arriagada ◽  
Pedro Joseph-Nathan

Chiral resolution of (±)-3α,6β-dicinnamoyloxytropane (1) and (±)-3α,6β-di(1-methyl-1 H-pyrrol-2-ylcarbonyloxy)tropane (2), prepared by esterification of (±)-3α,6β-tropanediol (3), was achieved using an amylose-derived HPLC stationary phase and normal phase conditions. The corresponding vibrational circular dichroism (VCD) spectra provided the absolute configuration of the enantiomers as (-)-(3 R,6 R)-1, (+)-(3S,6S)- 1, (-)-(3 R,6 R)-2 and (+)-(3S,6S)- 2. In each case, characteristic VCD bands for the absolute configuration determination of the 3α,6β-tropandiol esters were observed. While the absolute configuration of natural 1, previously isolated from Erythroxylum hypericifolium, could not be established due to the lack of literature optical rotation values, that of catuabine E, previously isolated from E. vacciniifolium, is now assigned as (-)-(3 R,6 R)-2 by comparison with the optical rotation values of the prepared samples and the reported rotation of the natural product.


2020 ◽  
pp. 1-2
Author(s):  
Tsering Wangmu ◽  
Sarda Angom ◽  
Y. Bidyalakshmi Devi ◽  
H. Rebachandra Singh

BACKGROUND: This is a report of 3(three) cases of human ocular thelaziasis caused by Thelazia species. CASE CHARACTERISTIC: Three patients aged 34 year, 27 years and 5 years old male attended Department of ophthalmology, RIMS, Imphal during the period from 2017 to 2019 with chief complaint of increased lacrimation, itching and irritation. The parasites were surgically removed from the eyes of patients in one piece under local anaesthesia and brought to Microbiology department and were processed for identification. They were all suffering from ocular Thelaziasis. RESULTS: These worms were intact, slender, thread-like and creamy white in colour. On the basis of recovery site, gross appearance and microscopical findings, the worms were identified to be Thelazia species. CONCLUSION: This case report highlights the importance of “thelaziasis” and emphasize on further study of the morbid conditions and sequelae caused by the worm is required to minimise human infection.


2000 ◽  
Vol 53 (6) ◽  
pp. 835 ◽  
Author(s):  
Lloyd C. L. Hollenberg

The dynamic acoustics of the Australian didjeridu are studied by separately considering transverse and longitudinal lip vibration models in the context of highly non-sinusoidal lip motion. Timedomain computer simulations are performed based on these lip models coupled to the input impedance function of a straight pipe. For the purposes of direct comparison, detailed results are reported here for lip motion leading to both sinusoidal lip opening area functions (characteristic of higher frequency brass instruments) and the more complex non-sinusoidal (approximately half-closed cycle) case characteristic of the didjeridu. Over a range of lip resonance frequencies, the sounding frequency for the transverse (longitudinal) model is found to be below (above) both the lip and fundamental pipe resonance frequencies, in qualitative agreement with linear theory for these value types. A striking difference is found between the two models when comparing the effect of significant lip closure in the non-sinusoidal cycle—the sounding frequency in the transverse case is raised by up to 10%, whilst essentially unaltered in the longitudinal model. The effect the lips sticking during the non-sinusoidal cycle was considered by increasing the damping force upon closure, and was found in both transverse and longitudinal models to weaken significantly the generation of harmonics in the sound.


2012 ◽  
Vol 1444 ◽  
Author(s):  
Guillermo Bozzolo ◽  
Abdellatif M. Yacout ◽  
Gerard L. Hofman ◽  
H. O. Mosca

ABSTRACTAtomistic modeling is used to study the role of different alloying additions to metallic U-Zr nuclear fuels in terms of their ability to reduce lanthanide migration to the outer surface of the fuel and thus reduce their interaction with cladding. The Bozzolo-Ferrante-Smith (BFS) method for alloys is used to examine the behavior of each addition, the resulting phase structure, and the evolution of the fuel surface. Different behaviors are observed for each of the additives (In, Tl, Ga, Sb, Pd), all a result of the competition between the formation of bulk precipitates and the tendency of each additive to segregate to the surface. For each case, characteristic temperatures are determined indicating the range of temperatures in which each additive performs a different role. Sb and Pd additives are determined to be the most effective additions, properly balancing their ability to bind lanthanides in the fuel with their own segregating tendencies.


2011 ◽  
Vol 55-57 ◽  
pp. 1494-1497
Author(s):  
Jie Li Sun ◽  
Zhi Qing Zhu ◽  
Yong Mei

The quality of the recommended results will depend on the determination policy of the case similarity, case retrieval policy and personalized recommended policy based on case reasoning. The case similarity determination strategy is one of the important link to design the personalized recommendation system. This paper studies the case similarity determination method of the personalized recommendation system based-CBR . And the similar determination method based on similar case characteristic vector are discussed and the relevant algorithm is given.


1988 ◽  
Vol 43 (10) ◽  
pp. 895-908 ◽  
Author(s):  
Zdzislaw T. Lalowicz

Abstract 2H-NMR powder spectra of tunneling ammonium-d4 ions are computed. A representation of the tunneling Hamiltonian is worked out in the basis of simple product spin wavefunctions. Secular parts of quadrupole and dipole Hamiltonians are taken into account. Examples of spectra are given for tunneling about one C2 or C3 axis, as well as for overall rotations in potentials of higher symmetry. Ranges of tunneling frequencies measurable from the spectra are given for each case. Characteristic shapes of the spectra allow recognition of various ground torsional level structures. Possible further applications and available data are discussed.


2018 ◽  
Vol 62 (4) ◽  
pp. 134-140
Author(s):  
T. Majstríková ◽  
J. Daňková ◽  
P. Mec

Abstract Interaction of mineral solutions with solid wood leads to saturation of the wood matrix, then to the deposition of mineral particles and eventually to reaction with wood components. In this way a partially or fully mineralized wood occurs in natural or artificial conditions, whose physical-mechanical properties are influenced by the retention and by the character of the solution. Targeted application of organosilanes is based on a similar principle that reduces the intake of liquid water and thus leads to an increase in durability, however, it also causes wood corrosion and consequent decrease in mechanical parameters. In this study, penetration of commercial organosilanes-based product Lukofob 39 into solid wood was described in order to determine the extent of the mineralized part into which the solution penetrated. In this case, characteristic mineral deposits are formed in the wood matrix and its quantification by thermal analysis can be advantageously used to describe the penetration of the solution. Based on the analyses of specific samples taken from primary specimens with different exposure times in the solution, it can be stated that with the increasing exposition time the penetration depth of the solution as well as the amount of mineral deposits increase. The shifts on the thermal analysis curves also show the corrosion effects of Lukofob 39 on the basic components of wood.


Author(s):  
Sherly Tandi Arrang ◽  
Widyati Widyati

The research has been conducted on the incident and analysis of risk factors drug liver injury (DILI) in a Surabaya Hospital. The aim of this study was to determine the incident of DILI, know which drugs cause DILI, and see the association of risk factors to DILI. The research method was descriptive and analytical observational (prospective cohort). Danan-Benichou scale is a tool used to ascertain drugs that cause DILI. Based on data collected for 3 months, the population was 1202 patients. Samples fulfilling the inclusion and exclusion criteria were 310 patients, the risk drug group of DILI were 285 patients (11 DILI, 274 Non-DILI), and the non-risk drug group 25 patients (11 DILI, 14 Non-DILI). The incident of DILI was 3.55%. Drugs that cause DILI are ranitidine (4 cases), omeprazole (1 case), rifampicin (2 cases), meropenem (1 case), ciprofloxacin (1 case), methotrexate (1 case), and dexamethasone (1 case). Characteristic of patients with DILI (11 patients) are average age of 59.27 ± 15.54 years (23-73 years), belonging to high risk group (54.55%), male gender (81,82%), have moderate comorbid disease (54.55%), and are not comsumsing alcohol (100%). This research use logistic regression analysis through SPSS 17.0 program to see the relation of risk factor to DILI incident. The p results were obtained from sex (0,156), age (0,534), and comorbid isease (0,213)> α (0,05) which means gender, age, and comorbid disease do not significantly affect the incident of DILI.


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