A partial description of the Chow variety of 1-cycles of degree 3 in $${\mathbb P}^3$$ P 3

2017 ◽  
Vol 25 (1) ◽  
pp. 21-51
Author(s):  
Andrés Piedra
Keyword(s):  
Partial Description ◽  
Chow Variety

Frölicher–Nijenhuis cohomology on G2- and Spin(7)-manifolds

2018 ◽  
Vol 29 (12) ◽  
pp. 1850075
Author(s):  
Kotaro Kawai ◽  
Hông Vân Lê ◽  
Lorenz Schwachhöfer
Keyword(s):  
Riemannian Manifold ◽  
Differential Form ◽  
Kähler Manifold ◽  
Cohomology Groups ◽  
Kahler Manifold ◽  
Partial Description ◽  
Nijenhuis Bracket

In this paper, we show that a parallel differential form [Formula: see text] of even degree on a Riemannian manifold allows to define a natural differential both on [Formula: see text] and [Formula: see text], defined via the Frölicher–Nijenhuis bracket. For instance, on a Kähler manifold, these operators are the complex differential and the Dolbeault differential, respectively. We investigate this construction when taking the differential with respect to the canonical parallel [Formula: see text]-form on a [Formula: see text]- and [Formula: see text]-manifold, respectively. We calculate the cohomology groups of [Formula: see text] and give a partial description of the cohomology of [Formula: see text].

The Undervaluation of the Yuan Dispute: Is a Repetition of Germany's Experience in 1969 Necessary, Inevitable or Desirable? A Comment and Reply to John A. Tatom

2008 ◽  
Vol 8 (2) ◽  
pp. 1850134 ◽  
Author(s):  
Christian M. Oberpriller ◽  
Beate Sauer ◽  
Friedrich L. Sell
Keyword(s):  
Trade Balance ◽  
Chinese Economy ◽  
Asian Countries ◽  
Economic Relations ◽  
The Us ◽  
Financial Market Stability ◽  
Balance Deficits ◽  
Partial Description ◽  
The Right ◽  
Balance Deficit

The present article is a reply to the article by John A. Tatom titled "The US-China Currency Dispute: Is a Rise in the Yuan Necessary, Inevitable or Desirable?," recently published in this journal. We found that John Tatom seems to only give a partial description of the US-Chinese economic relations, of the main features of the Chinese economy, and also of the macroeconomic policy options available to China. We argue that the real exchange rate is not the appropriate measure for a currency undervaluation, but it is the continuous, one-directional and accelerating accumulation of foreign exchange reserves. We also argue that the likely improvement in the US trade balance deficit caused by an appreciating Yuan will not be offset by growing US trade balance deficits with other East Asian countries. Furthermore, giving up the actual currency peg will benefit rather than harm China, provided that the steps towards Yuan flexibility will be taken in the right sequence and order. We hold that a revaluation of the Yuan is necessary, inevitable and desirable just as much as it happened to be with the Deutschmark in 1969. It would not "damage Chinese development." China needs a Yuan appreciation mainly in its own interest to assure domestic financial market stability, and to avoid an overheating of its economy and a soaring inflation.

scholarly journals Tropical Chow Hypersurfaces

2017 ◽  
Vol 2019 (14) ◽  
pp. 4302-4324
Author(s):  
Paolo Tripoli
Keyword(s):  
Projective Variety ◽  
Classical Case ◽  
Geometric Description ◽  
Tropical Variety ◽  
Linear Spaces ◽  
Chow Variety

Abstract Given a projective variety $X\subset\mathbb{P}^n$ of codimension $k+1$, the Chow hypersurface $Z_X$ is the hypersurface of the Grassmannian $\operatorname{Gr}(k, n)$ parametrizing projective linear spaces that intersect $X$. We introduce the tropical Chow hypersurface $\operatorname{Trop}(Z_X)$. This object only depends on the tropical variety $\operatorname{Trop}(X)$ and we provide an explicit way to obtain $\operatorname{Trop}(Z_X)$ from $\operatorname{Trop}(X)$. We also give a geometric description of $\operatorname{Trop}(Z_X)$. We conjecture that, as in the classical case, $\operatorname{Trop}(X)$ can be reconstructed from $\operatorname{Trop}(Z_X)$ and prove it for the case when $X$ is a curve in $\mathbb{P}^3$. This suggests that tropical Chow hypersurfaces could be the key to construct a tropical Chow variety.

A Partial Description of the Tadpole of Rana areolata circulosa and Notes on the Natural History of the Race

1948 ◽  
Vol 39 (3) ◽  
pp. 608 ◽  
Author(s):  
Hobart M. Smith ◽  
C. William Nixon ◽  
Philip E. Smith
Keyword(s):  
Natural History ◽  
History Of ◽  
Partial Description

The Religious Component of the World Meaning in the Mechanism of Individual’s Identification Processes

2016 ◽  
Vol 5 (3) ◽  
pp. 29-36
Author(s):  
Салихова ◽  
Elvina Salikhova ◽  
Мурсалимова ◽  
Yu. Mursalimova
Keyword(s):  
Comparative Study ◽  
Mutual Influence ◽  
Social Consciousness ◽  
Religious Worldview ◽  
The World ◽  
Turkic Languages ◽  
Partial Description ◽  
The Mind ◽  
Identification Processes ◽  
Different Content

The aim of the study is to describe the religious component of the person’s worldview. The results of association experiments enable us to reconstruct the specifics of the actualization of the word’s psychological meaning in the individual’s linguistic consciousness. This approach is perspective in the study of associations for establishing the religious worldview in which the linguistic division of the world is correlated with the typology of associative fields. Language and religion, representing two different images of the world, have in their structure different content both by volume and the nature of the information, constituenting this knowledge and by its role and place in the structure of social consciousness. Language and religion are the ways of formation and existence of knowledge, and the combination of this knowledge of reality, formed in general consciousness is a worldview. In this material there is to show the mutual influence of religious and linguistic worldviews by identifying and partial description of the religious meaning of the word, which is defined as a content of a word, displaying in the mind of an individual and fixing in it the mystical views, based on the faith in supernatural forces and beings (gods, spirits). Subsequent stages of the study of the religious component in the mechanism of identification processes in the person’s linguistic consciousness involve a comparative study of verbal associations on the material of a number of Turkic languages.

Ecandrewsite, the zinc analogue of ilmenite, from Little Broken Hill, New South Wales, Australia, and the San Valentin Mine, Sierra de Cartegena, Spain

1988 ◽  
Vol 52 (365) ◽  
pp. 237-240 ◽  
Author(s):  
W. D. Birch ◽  
E. A. J. Burke ◽  
V. J. Wall ◽  
M. A. Etheridge
Keyword(s):  
New South ◽  
New South Wales ◽  
Polarized Light ◽  
Type Locality ◽  
New Mineral ◽  
Broken Hill ◽  
Hill Region ◽  
South Wales ◽  
Partial Description ◽  
Reflectance Data

AbstractEcandrewsite, the zinc analogue of ilmenite, is a new mineral which was first described from the Broken Hill lode in 1970 and discovered subsequently in ores from Little Broken Hill (New South Wales) and the San Valentin Mine, Spain. The name ‘ecandrewsite’ was used in a partial description of the mineral in ‘Minerals of Broken Hill’ (1982), thereby establishing the Little Broken Hill locality, specifically the Melbourne Rockwell Mine, as the type locality. Microprobe analysis of ecandrewsite from the type locality gave ZnO 30.42 (wt.%), FeO (total Fe) 11.37, MnO 7.64, TiO2 50.12, total 99.6%, yielding an empirical formula of (Zn0.59Fe0.24Mn0.17)1.00Ti0.99O3 based on 3 oxygen atoms. All compositions from Little Broken Hill and the San Valentin Mine are ferroan manganoan ecandrewsite. The strongest lines in the X-ray powder diffraction data are (d in Å, (hkil), I/Io):2.746, (104), 100; 2.545, (110), 80; 1.867, (024), 40; 3.734, (012), 30; 1.470, (3030), 30; 1.723, (116), 25. Ecandrewsite is hexagonal, space group RR3¯ assigned from a structural study, with a = 5.090(1), c = 14.036(2)Å, V = 314.6(3)Å3, Z = 6, D(calc.) = 4.99. The mineral is opaque, dark brown to black with a similar streak, and a submetallic lustre. In plane polarized light the reflection colour is greyish white with a pinkish tinge. Reflection pleochroism is weak, but anisotropism is strong with colours from greenish grey to dark brownish grey. Reflectance data in air between 470 and 650 nm are given. At the type locality, ecandrewsite forms disseminated tabular euhedral grains up to 250 × 50 µm, in quartz-rich metasediments. Associated minerals include almandine-spessartine, ferroan gahnite and rutile. The name is for E. C. Andrews, pioneering geologist in the Broken Hill region of New South Wales. Type material consisting of one grain is preserved in the Museum of Victoria (M35700). The mineral and name were approved by the IMA Commission on New Minerals and Mineral Names in 1979.

scholarly journals Scelidosaurus harrisonii from the Early Jurassic of Dorset, England: cranial anatomy

2019 ◽  
Vol 188 (1) ◽  
pp. 1-81 ◽  
Author(s):  
David B Norman
Keyword(s):  
Lateral Wall ◽  
Dorsal Margin ◽  
Original Material ◽  
Deep Pit ◽  
Attachment Sites ◽  
Original Specimen ◽  
Partial Description ◽  
Cheek Pouches ◽  
Tooth Abrasion ◽  
Early Late

Abstract Scelidosaurus harrisonii is an early (Late Sinemurian) armoured ornithischian dinosaur whose remains have, to date, only been recovered from a restricted location on the south coast of Dorset (Charmouth), England. This dinosaur has been known since 1859, but only on the basis of a partial description found in two articles published in the early 1860s by Richard Owen. The original material, discovered in 1858, comprised the majority of the skull and its associated postcranial skeleton, and represents the first ever, more or less complete dinosaur discovered. In addition to the original material, a number of further discoveries have been made at Charmouth; these latter supplement the information that can be gleaned from the original specimen. This article describes the skull of Scelidosaurus. The external surface of individual skull bones in ontogenetically relatively mature individuals displays exostoses, a patina of fibrous or granular-textured bone that anchored an external shielding of keratinous scales. There is a small, edentulous rostral beak, behind which is found a row of five heterodont premaxillary teeth. There is a minimum of 22 maxillary teeth and 27 dentary teeth in jaws of the largest well-preserved individuals known to date. Both dentitions (upper and lower) are bowed medially and are sinuous longitudinally. Maxillary and dentary crowns are tilted lingually on their roots, trapezoidal in outline and have crenellate (coarsely denticulate) margins. Adjacent crowns of teeth have mesiodistally (anteroposteriorly) expanded bases that overlap slightly and are consequently arranged en echelon. The dentitions are flanked by deep cheek pouches. Tooth abrasion is usually discontinuous along the dentition. In one individual nearly all teeth seem to be fully emerged and there is little evidence of abrasion. There is no physical evidence of a predentary, but the presence of this (typically ornithischian) element may be inferred from the structure of the symphyseal region of the dentary. The external narial and antorbital fenestrae are comparatively small, whereas the orbit and temporal fenestrae are large and open. A sclerotic ring was undoubtedly present and supported the eyeball, but it is too poorly preserved to allow it to be reconstructed with accuracy. A prominent supraorbital brow ridge overhangs the orbit. There are three osteoderms: palpebral, middle supraorbital and posterior supraorbital, sutured to the dorsal margin of the orbit. The occiput provides an area for attachment of a pair of curved, keratin-sheathed, osteodermal horns. Epistyloid bones project from the ventrolateral region of the braincase; their distal ends flank the anterolateral region of the neck. Rugose facets on either side of the basioccipital are suggested to have provided attachment sites for the epistyloid bones. Internally, the skull has a deeply vaulted snout and the nasal chambers are roofed by what are here named epivomer bones that appear to have been sutured to the dorsolateral edges of the vomers. Unusually, among dinosaurs generally, an epipterygoid is preserved attached to the dorsolateral surface of the pterygoid; there is no obvious point of articulation for the epipterygoid against the lateral wall of the braincase. A deep pit on the posterior surface of the quadrate of an immature specimen is suggestive of the existence of a remnant of cranial pneumatism. This pit becomes occluded in larger, more mature specimens.

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