10,720 research outputs found
Many projectively unique polytopes
We construct an infinite family of 4-polytopes whose realization spaces have
dimension smaller or equal to 96. This in particular settles a problem going
back to Legendre and Steinitz: whether and how the dimension of the realization
space of a polytope is determined/bounded by its f-vector.
From this, we derive an infinite family of combinatorially distinct
69-dimensional polytopes whose realization is unique up to projective
transformation. This answers a problem posed by Perles and Shephard in the
sixties. Moreover, our methods naturally lead to several interesting classes of
projectively unique polytopes, among them projectively unique polytopes
inscribed to the sphere.
The proofs rely on a novel construction technique for polytopes based on
solving Cauchy problems for discrete conjugate nets in S^d, a new
Alexandrov--van Heijenoort Theorem for manifolds with boundary and a
generalization of Lawrence's extension technique for point configurations.Comment: 44 pages, 18 figures; to appear in Invent. mat
Supersolids in confined fermions on one-dimensional optical lattices
Using quantum Monte Carlo simulations, we show that density-density and
pairing correlation functions of the one-dimensional attractive fermionic
Hubbard model in a harmonic confinement potential are characterized by the
anomalous dimension of a corresponding periodic system, and hence
display quantum critical behavior. The corresponding fluctuations render the
SU(2) symmetry breaking by the confining potential irrelevant, leading to
structure form factors for both correlation functions that scale with the same
exponent upon increasing the system size, thus giving rise to a
(quasi)supersolid.Comment: 4 pages, 5 figures, published versio
Toleransi UmaT Beragama Di Desa Loloan, JemBrana, Bali (Ditinjau Dari Perspektif Sejarah)
This paper aims to discuss the history of religious tolerance in Jembrana, Bali, which is shaped by the culture embraced by the local community; both Hindus and Muslims. Culture itself can be a unifier of the differences that exist, including in terms of religious differences. Based on that, the reality of Jembrana society, which repersent Balinese culture with religious diversity (Hinduism as a native and Islam as migrants from Java and Makassar) could be approached through a cultural one. This study traces the historical record of religious harmony in Jembrana, ranging from the advent of Islam, the local responses to it, and the harmonious relations between Muslims and Hindus in the light of cultural frame
Some Notes on Madrasah Education in Bangladesh: a Historical Description
This paper tries to describe a historical development on Madrasah education system in Bangladesh. Bangladesh or formerly known as Eats Pakistan has significant contribution in spreading Islam in Asia. In education level, this major role played by thousands of Madrasah (state or private) in Bangladesh. While some people argued that the alumni of the Madrasah are inferior to the alumni of Western education institutions, the history proved that the alumni of Madrasah have substantial contribution in creating Muslim scholars not only expertise in religious teaching but also in secular sciences. This analysis also expected to be a role model in comparing Madrasah education system in Indonesia
Hubungan Agama-Negara Pasca Reformasi
Studying relations between the Religion (Islam) and the state in Indonesia always presented special characteristics. The Islam Religion has become deeply rooted in the Indonesian Moslem's inner self. The matter is how the state puts Islam in the dynamics of her government form. Until now, we have found Islam can afford to be soul and spirit for implementing changes toward the better ones. Islam spirit has been proved in the historical path of Indonesian nation that it was able to liberate herself from colonial domination, backwardness, and underdevelopment. Thus, in the relations between Islam as a religion institution and the state (government) as a constitutional policy holder don't to suspect each other, but they must be able to result in a new cosmos that is mutually profitable.They are no longer to exploit mutually, but to create harmonization for the sustained nation
Free-free and H42alpha emission from the dusty starburst within NGC 4945 as observed by ALMA
We present observations of the 85.69 GHz continuum emission and H42alpha line
emission from the central 30 arcsec within NGC 4945. Both sources of emission
originate from nearly identical structures that can be modelled as exponential
discs with a scale length of ~2.1 arcsec (or ~40 pc). An analysis of the
spectral energy distribution based on combining these data with archival data
imply that 84% +/- 10% of the 85.69 GHz continuum emission originates from
free-free emission. The electron temperature is 5400 +/- 600 K, which is
comparable to what has been measured near the centre of the Milky Way Galaxy.
The star formation rate (SFR) based on the H42alpha and 85.69 GHz free-free
emission (and using a distance of 3.8 Mpc) is 4.35 +/- 0.25 M/yr. This is
consistent with the SFR from the total infrared flux and with previous
measurements based on recombination line emission, and it is within a factor of
~2 of SFRs derived from radio data. The Spitzer Space Telescope 24 micron data
and Wide-field Infrared Survey Explorer 22 micron data yield SFRs ~10x lower
than the ALMA measurements, most likely because the mid-infrared data are
strongly affected by dust attenuation equivalent to A_V=150. These results
indicate that SFRs based on mid-infrared emission may be highly inaccurate for
dusty, compact circumnuclear starbursts.Comment: 19 pages, 9 figures, accepted for publication in MNRA
Unsustainability of a measles immunisation campaign - rise in measles incidence within 2 years of the campaign
The 1990 national mass measles immunisation campaign resulted in a marked reduction in measles incidence in Natal/KwaZulu in the first 6 months after the campaign. Data from the measles ward admissions book at Clairwood Hospital were collated for the period 1 January 1989 to 31 May 1992 to assess the sustainability of the effects of the campaign. For the first 12 months after the campaign, measles admissions were consistently low. Thereafter, the number increased steadily, rising sharply to above precampaign levels 21 months after the campaign. The age distribution of measles patients indicated that the initial fall in the 10 - 12-month age group had been reversed in the second year after the campaign, suggesting that the high vaccination coverage achieved for this age group during the campaign had not been maintained. Measles admissions to Clairwood Hospital indicate that the effect of the measles imInunisation campaign has not been sustained and that urgent action is required to avert a possible epidemic.S Afr Med J 1993; 83: 322-323
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