On Fixed Divisors of Forms in Many Variables, I

2014 ◽  
Vol 114 (2) ◽  
pp. 161
Author(s):  
A. Schinzel
Keyword(s):  
Primitive Form ◽  
Forms In Many Variables

Let $D_{d,r}$ be the maximal fixed divisor of a primitive form of degree $d$ in $r$ variables over $\mathsf{Z}$. A formula is given for $D_{d,2}$ and estimates for $D_{d,r}$ for $r>2$. As a consequence, a question of Nagell raised in 1919 is completely answered.

Exsolution and inversion in pigeonite from the Whin Sill, Northern England

1978 ◽  
Vol 36 (1) ◽  
pp. 474-475
Author(s):  
P.P.K. Smith
Keyword(s):  
High Temperature ◽  
Low Temperature ◽  
Homogeneous Nucleation ◽  
Silicate Mineral ◽  
Antiphase Boundaries ◽  
Two Phase ◽  
Primitive Form ◽  
The Core ◽  
Nucleation Mechanisms ◽  
And Inversion

Grains of pigeonite, a calcium-poor silicate mineral of the pyroxene group, from the Whin Sill dolerite have been ion-thinned and examined by TEM. The pigeonite is strongly zoned chemically from the composition Wo8En64FS28 in the core to Wo13En34FS53 at the rim. Two phase transformations have occurred during the cooling of this pigeonite:- exsolution of augite, a more calcic pyroxene, and inversion of the pigeonite from the high- temperature C face-centred form to the low-temperature primitive form, with the formation of antiphase boundaries (APB's). Different sequences of these exsolution and inversion reactions, together with different nucleation mechanisms of the augite, have created three distinct microstructures depending on the position in the grain.In the core of the grains small platelets of augite about 0.02μm thick have farmed parallel to the (001) plane (Fig. 1). These are thought to have exsolved by homogeneous nucleation. Subsequently the inversion of the pigeonite has led to the creation of APB's.

Elementary Affective Sharing

2018 ◽  
Vol 2018 (1) ◽  
pp. 129-150
Author(s):  
Henning Nörnberg
Keyword(s):  
The Other ◽  
Primitive Form ◽  
Phenomenological Tradition ◽  
Current Discussion ◽  
Affective Intentionality ◽  
Elementary Form ◽  
The One ◽  
Central Claim

This paper contributes to the current discussion on collective affective intentionality. Very often, affective sharing is regarded as a special feature ofamore general form of we-intentionality being already in place. In contrast to this view, the paper attempts to explicate a more elementary form of affective sharing that does not simply presuppose other forms of we-intentionality, but amounts to a primitive form of we-intentionality of its own. The account presented here draws on two conceptual tools from the broader phenomenological tradition: prereflective we-intentionality on the one hand and atmospheric perception on the other. The central claim is that some instances of affective we-consciousness mainly emerge on the level of unthematic, pre-reflective orientation within one’s environment. The first part of the paper gives an account of this claim, while second part places the account in the broader discussion on collective affective intentionality.

Carboniferous conodont biostratigraphy of the Dianzishang section, Zhenning, Guizhou, South China

2013 ◽  
Vol 151 (2) ◽  
pp. 311-327 ◽  
Author(s):  
YUPING QI ◽  
KEYI HU ◽  
QIULAI WANG ◽  
WEI LIN
Keyword(s):  
South China ◽  
North American ◽  
Primitive Form ◽  
Conodont Biostratigraphy ◽  
The World ◽  
Kasimovian Stage ◽  
Moscovian Stage ◽  
Stage Boundaries ◽  
Serpukhovian Stage ◽  
Bashkirian Stage

AbstractA preliminary summary of the lower Visean to uppermost Moscovian (Carboniferous) conodont succession and biostratigraphy of the Dianzishang section in Zhenning, Guizhou, South China is presented. Eleven conodont zones, in ascending order, can be recognized:Gnathodus praebilineatus,Gnathodus bilineatus,Lochriea ziegleri,Declinognathodus noduliferus,Neognathodus symmetricus, ‘Streptognathodus’expansus(primitive form), ‘Streptognathodus’expansus,Mesogondolella donbassica – Mesogondolella clarki,Idiognathodus podolskensis,Swadelinafauna andIdiognathodus swadeizones. The first occurrences ofLochriea ziegleriat the base of the Serpukhovian Stage,Declinognathodus noduliferus noduliferusat the base of the Bashkirian Stage and ‘Streptognathodus’expansusat the base of the Moscovian Stage are recognized. The definitions of these stage boundaries, as well as that of the base of the Kasimovian Stage are discussed. Correlations with the Naqing section in South China, Russian and North American sections, as well as other important sections in the world, are considered.

The Book of Job

2021 ◽  
pp. 368-383
Author(s):  
Maria Gorea
Keyword(s):  
Greek Text ◽  
Greek Version ◽  
Primitive Form ◽  
Book Of Job ◽  
Translation Technique ◽  
Original Length

The Greek version of the book of Job in its primitive form (OG) presents a text that is 389 stichs shorter than that of the Hebrew textus receptus. The pre-Hexaplaric Greek text is attested by scattered quotations from some Latin authors, by the Coptic-Sahidic version, or by the Greek Testament of Job. Origen filled the lacunae with revised material in order to restore the original length of the text. While the literal approach of this asterisked material towards the Hebrew helps in determining the translation technique that the translator followed, the OG text shows less concern for literality. Origen’s Hexaplaric Septuagint is hybrid because the lacunae were not simply the result of mere omissions, but also verses that were summarized or more synthetic. The ecclesiastical version preserved these additions and manuscripts have carefully indicated them, as also modern editions.

scholarly journals XXIII. On one Source of the Non-Hellenic Portion of the Latin Language

1836 ◽  
Vol 13 (2) ◽  
pp. 494-563
Author(s):  
Williams
Keyword(s):  
Primitive Form ◽  
Latin Language ◽  
As If

Payne Knight, no mean name among philologers, after a masterly and convincing proof, that neither Zenodotus nor Aristarchus, the great critics of the Alexandrian school, could be acquitted of the charge of “scarcely credible ignorance” of the primitive form of the Homeric language, thus proceeds :—“The grammarians and critics of Alexandria were all guilty of the same fault. They never investigated the original sources of the language, but classed among anomalous dialects and poetic licenses every thing that was not in unison with their own usual style of speaking. In their age there existed many clews to the inquiry, which have now disappeared, but which, at that time, might easily have been found in written records, and in the rude and semi-barbarous languages of Italy and other countries adjacent to Greece. Had any one, however, suggested to Aristarchus that the true form and character of the Homeric dialect was to be extracted from the Latin, Tuscan, or Oscan languages, he would in my opinion have been as much astonished as if he had heard of the claims of the Irish antiquary, who affirmed that the Homeric poems had been translated furtively from the “Gaelic into Greek.”

Selfhood, Schizophrenia, and the Interpersonal Regulation of Experience

2017 ◽  
Author(s):  
Matthew Ratcliffe
Keyword(s):  
Sense Of Self ◽  
Traumatic Events ◽  
Human Experience ◽  
Intentional State ◽  
Primitive Form ◽  
Minimal Self ◽  
Psychiatric Conditions ◽  
The Individual ◽  
The Relationship

This paper addresses the view that schizophrenia involves disturbance of the minimal self, and that this distinguishes it from other psychiatric conditions. I challenge the distinction between a minimal and an interpersonally constituted sense of self, through a consideration of the relationship between psychosis and interpersonally induced trauma. First of all, I suggest that even minimal self-experience must include a pre-reflective sense of what kind of intentional state one is in. Then I address the extent to which human experience and thought are interpersonally regulated. I propose that traumatic events, in childhood and/or in adulthood, can erode a primitive form of “trust” in other people that the integrity of intentionality depends upon, thus disrupting the phenomenological boundaries between intentional state types. I conclude that a distinction between minimal and interpersonal self is untenable, and that schizophrenia should be thought of in relational terms rather than simply as a disorder of the individual.

Ribbonism, O’Connellism, and Catholicism in the 1820s and 1830s

2018 ◽  
pp. 92-124
Author(s):  
Kyle Hughes ◽  
Donald M. MacRaild
Keyword(s):  
Trade Union ◽  
Northern Province ◽  
Primitive Form ◽  
Inland Waterways ◽  
Key Aspects ◽  
Political Turmoil ◽  
The Church

This chapter explores the development of Ribbonism in those two turbulent decades, and considers key aspects of social, religious, and political turmoil that provided a fitting setting for the development of Ribbonism. It shows how Ribbonmen expressed at times a Catholic pro-O’Connellism, even though both the Church and ‘the Liberator’ were hostile to them. The chapter also observes the inability of O’Connell to control Ribbonism in the northern province of Ulster demonstrated in hardening Orange–Green tensions. Finally, the chapter examines canal-based proto-trade union Ribbonism and the organisation’s role as a ‘kind of proletarian underground’: a primitive form of organized labour, controlling the portering and carrying trades around docks and inland waterways

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