Principle of the Extreme Element

1999 ◽  
Vol 83 (496) ◽  
pp. 2
Author(s):  
Kiril Bankov
Keyword(s):  
Extreme Element

Holomorphic Functions with Positive Real Part

1982 ◽  
Vol 34 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Eric Sawyer
Keyword(s):  
Unit Ball ◽  
Hardy Spaces ◽  
Convex Cone ◽  
Holomorphic Functions ◽  
Positive Real Part ◽  
Positive Real ◽  
Spaces Of Holomorphic Functions ◽  
Extreme Element ◽  
Image Position ◽  
Special Case

The main purpose of this note is to prove a special case of the following conjecture.Conjecture. If F is holomorphic on the unit ball Bn in Cn and has positive real part, then F is in Hp(Bn) for 0 < p < ½(n + 1).Here Hp(Bn) (0 < p < ∞) denote the usual Hardy spaces of holomorphic functions on Bn. See below for definitions. We remark that the conjecture is known for 0 < p < 1 and that some evidence for it already exists in the literature; for example [1, Theorems 3.11 and 3.15] where it is shown that a particular extreme element of the convex cone of functionsis in Hp(B2) for 0 < p < 3/2.

Modern Perspectives

2019 ◽  
pp. 33-56
Author(s):  
Robert Chazan
Keyword(s):  
Jewish History ◽  
Jewish People ◽  
Human History ◽  
Extreme Element

This chapter suggests that despite the removal of God from human history, which radically altered the understanding of the mechanism that propelled Jewish history, assessments of Jewish historical fate as unfailingly painful survived intact. Observers continued to project the Jews as an endlessly afflicted people and to highlight forced Jewish displacement as the most extreme element in the relentless tragedy of the Jewish people. The ongoing emphasis on Jewish suffering and hurtful demographic dislocation combined with the removal of God and divine causation from the historical arena sparked a search for new causative explanations for the long-established and widely shared views of the tribulations of the previous two millennia of Jewish history. These new explanations revised but at the same time reinforced the still regnant conviction that Jews have suffered incessantly since the onset of their purported third exile.

scholarly journals Ethnic distribution, effective power and conflict

2021 ◽  
Author(s):  
Matija Kovacic ◽  
Claudio Zoli
Keyword(s):  
Empirical Analysis ◽  
Ethnic Diversity ◽  
Relative Power ◽  
Group Interactions ◽  
Effective Power ◽  
Extreme Element ◽  
The Empirical Analysis ◽  
Ethnic Distribution ◽  
Power Component ◽  
Parametric Class

AbstractThis paper highlights the fact that different distributional aspects of ethnicity matter for conflict. We axiomatically derive a parametric class of indices of conflict potential obtained as the sum of each ethnic group’s relative power weighted by the probability of across group interactions. The power component of an extreme element of this class of indices is given by the Penrose–Banzhaf measure of relative power. This index combines in a non-linear way fractionalization, polarization and dominance. The empirical analysis verifies that it outperforms the existing indices of ethnic diversity in explaining ethnic conflict onset.

Extreme element mobility during transformation of Neoarchean (ca. 2.7Ga) pillow basalts to a Paleoproterozoic (ca. 1.9Ga) paleosol, Schreiber Beach, Ontario, Canada

2012 ◽  
Vol 326-327 ◽  
pp. 145-173 ◽  
Author(s):  
Ali Polat ◽  
Fred Longstaffe ◽  
Chris Weisener ◽  
Brian Fryer ◽  
Robert Frei ◽  
...  
Keyword(s):  
Element Mobility ◽  
Extreme Element

Submarine hydrothermal contribution for the extreme element accumulation during the early Cambrian, South China

2017 ◽  
Vol 86 ◽  
pp. 297-308 ◽  
Author(s):  
Tao Han ◽  
Haifeng Fan ◽  
Xiaoqing Zhu ◽  
Hanjie Wen ◽  
Chenghai Zhao ◽  
...  
Keyword(s):  
South China ◽  
Early Cambrian ◽  
Extreme Element ◽  
Element Accumulation
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