New criterion for diffusion property and applications to improved GFS and EGFN

2015 ◽  
Vol 81 (3) ◽  
pp. 393-412 ◽  
Author(s):  
Yanfeng Wang ◽  
Wenling Wu
Keyword(s):  
Diffusion Property ◽  
New Criterion

Kazimir Malevich: Economy as the Fifth Dimension

2019 ◽  
Vol 29 (6) ◽  
pp. 215-228
Keyword(s):  
Karl Marx ◽  
Dialectical Materialism ◽  
Economic Base ◽  
Surplus Value ◽  
Bourgeois Society ◽  
Fifth Dimension ◽  
Fourth Volume ◽  
Contemporary Painting ◽  
New Criterion ◽  
The Impact

This paper deals with the impact that Karl Marx"s Das Kapital (and especially its fourth volume, the theory of Surplus Value) had on the category of economy in Kazimir Malevich"s output. In a series of texts, Malevich proclaims economy the new criterion of art and the Black Square its embodiment in contemporary painting. While the author was analyzing Marx"s views on labor and human nature, echoes of them turned up in Malevich"s manifestos and philosophical essays where the artist pondered the idea of the liberation of creative exaltation. The article others an interpretation of the creative process itself from the standpoint of economy, which for Malevich provided an opportunity to lay down the foundation for a new kind of art that was consistent with the prevailing ideology. The author points out that while Malevich was in Vitebsk he studied Marx"s works with idea of incorporating economic studies into art: his speculations on the relationships between the ideological superstructure and the practical, economic base were written in the manner of Marxist philosophy and provided the basis for his main essays, The World as Non-Objectivity (1923) and Suprematism: Thee World as Non-Objectivity or Eternal Rest (1923-1924). They defined the new art as an independent ideological superstructure positioned “outside of other contents and ideologies.” Parallel to that, the author examines the correspondence between Malevich"s theory of the surplus element and Marxist doctrines on surplus value. It is also shown that Malevich hoped to prove that, as in dialectical materialism, his new surplus element opens the way to a new artistic structure that is emerging from the womb of the old system in the same way that communism comes about as a kind of heterogeneous body from within the underpinnings of bourgeois society.

scholarly journals Les vulnérables : evaluating the vulnerability criterion in Article 14 cases by the European Court of Human Rights

Legal Studies ◽  
2021 ◽  
pp. 1-16
Author(s):  
So Yeon Kim
Keyword(s):  
Human Rights ◽  
Legal Reasoning ◽  
European Convention ◽  
Individual Autonomy ◽  
Group Affiliation ◽  
European Court ◽  
Before And After ◽  
New Criterion

Abstract The European Court of Human Rights (the Court) has been invoking the vulnerability criterion to overcome the drawbacks of cases concerning Article 14 of the European Convention on Human Rights, the prohibition of discrimination. This new criterion, allowing the Court to favour the applicants, highlights the applicants’ group affiliation. However, whether this criterion is effective in protecting vulnerable applicants against discrimination is doubtful. To examine this, I divide the Court's approach to Article 14 before and after the application of the vulnerability criterion. I argue that vulnerability criterion was used to fix the drawbacks of Article 14, but eventually backfired. The concept of vulnerability has been ambiguous, inconsistently used by the Court, and paternalistic. I suggest the Court focus on individual autonomy rather than grouping the applicants to improve their legal reasoning of Article 14.

scholarly journals On Polish groups admitting non-essentially countable actions

2020 ◽  
pp. 1-15
Author(s):  
ALEXANDER S. KECHRIS ◽  
MACIEJ MALICKI ◽  
ARISTOTELIS PANAGIOTOPOULOS ◽  
JOSEPH ZIELINSKI
Keyword(s):  
Equivalence Relation ◽  
Isometry Group ◽  
Alternative Proof ◽  
Orbit Equivalence ◽  
Locally Compact ◽  
Continuous Action ◽  
Polish Groups ◽  
Infinite Dimensional ◽  
Open Question ◽  
New Criterion

Abstract It is a long-standing open question whether every Polish group that is not locally compact admits a Borel action on a standard Borel space whose associated orbit equivalence relation is not essentially countable. We answer this question positively for the class of all Polish groups that embed in the isometry group of a locally compact metric space. This class contains all non-archimedean Polish groups, for which we provide an alternative proof based on a new criterion for non-essential countability. Finally, we provide the following variant of a theorem of Solecki: every infinite-dimensional Banach space has a continuous action whose orbit equivalence relation is Borel but not essentially countable.

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