defining relation
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Author(s):  
Rafael Reno S. Cantuba

We present an elementary approach to characterizing Lie polynomials on the generators [Formula: see text] of an algebra with a defining relation in the form of a twisted commutation relation [Formula: see text]. Here, the twisting map [Formula: see text] is a linear polynomial with a slope parameter, which is not a root of unity. The class of algebras defined as such encompasses [Formula: see text]-deformed Heisenberg algebras, rotation algebras, and some types of [Formula: see text]-oscillator algebras, the deformation parameters of which, are not roots of unity. Thus, we have a general solution for the Lie polynomial characterization problem for these algebras.


2020 ◽  
Vol 107 (5-6) ◽  
pp. 820-825
Author(s):  
D. I. Moldavanskii

2019 ◽  
Vol 28 (13) ◽  
pp. 1940012
Author(s):  
A. M. Mikhovich

We study quasirational (QR) presentations of (pro-[Formula: see text])groups, which contain aspherical presentations and their subpresentations, and also still mysterious pro-[Formula: see text]-groups with a single defining relation. Using schematization of QR-presentations and embedding of the rationalized module of relations into a diagram related to a certain prounipotent crossed module, we derive cohomological properties of pro-[Formula: see text]-groups with a single defining relation.


2018 ◽  
Vol 4 (1) ◽  
pp. 1-16 ◽  
Author(s):  
Mitali Thakor

In this paper, I discuss the embodied labor of policing child pornography through the ways in which algorithms and human reviewers like Linda see abuse images. I employ the concept of “apprehension” to suggest that the ways that reviewers “see” child pornography is always already oriented toward the capture and arrest of suspected offenders. As I have argued elsewhere (Author 2017; Forthcoming), the use of new digital techniques to find child pornography has fundamentally transformed and expanded policing into a distributed network of labor increasingly done by computer scientists and technology companies. Rather than suggest new software is the cause of these transformations, I draw attention to the constitutive and mutually defining relation between computing and corporeality, or how image detection algorithms need the work of human perception to put their detective skills to work.            I argue further still that the case study of child pornography detection offers an entry point into examining the algorithmic management of race. I suggest that childhood innocence is coded as whiteness, and whiteness as innocence, in the algorithmic detection of victims and abusers. By taking ‘detection’ as a dynamic practice between human and machine, I make an intervention into critical algorithm studies that have tended to focus solely on the programming of racial bias into software. The algorithmic detection of child pornography hinges, crucially, upon practice and the tacit observation of human reviewers, whose instinctual feelings about child protection and offender apprehension become embedded within the reviewing and reporting process as cases escalate for law enforcement.


2018 ◽  
Vol 4 (1) ◽  
pp. 1-16
Author(s):  
Mitali Thakor

In this paper, I discuss the embodied labor of policing child pornography through the ways in which algorithms and human reviewers like Linda see abuse images. I employ the concept of “apprehension” to suggest that the ways that reviewers “see” child pornography is always already oriented toward the capture and arrest of suspected offenders. As I have argued elsewhere (Author 2017; Forthcoming), the use of new digital techniques to find child pornography has fundamentally transformed and expanded policing into a distributed network of labor increasingly done by computer scientists and technology companies. Rather than suggest new software is the cause of these transformations, I draw attention to the constitutive and mutually defining relation between computing and corporeality, or how image detection algorithms need the work of human perception to put their detective skills to work.            I argue further still that the case study of child pornography detection offers an entry point into examining the algorithmic management of race. I suggest that childhood innocence is coded as whiteness, and whiteness as innocence, in the algorithmic detection of victims and abusers. By taking ‘detection’ as a dynamic practice between human and machine, I make an intervention into critical algorithm studies that have tended to focus solely on the programming of racial bias into software. The algorithmic detection of child pornography hinges, crucially, upon practice and the tacit observation of human reviewers, whose instinctual feelings about child protection and offender apprehension become embedded within the reviewing and reporting process as cases escalate for law enforcement.


2017 ◽  
Vol 15 (3) ◽  
pp. 333-345
Author(s):  
Milan Nikolic ◽  
Dragana Vasilski

Minimalism in architecture which tends to reduce forms is becoming a more common case in practice. The aim of the research is uncovering its influence in contemporary life and defining relation of this phenomenon to the reality. According to this task two hypothesis are formed at the start: ?minimalism in architecture is the same as a simplified architecture? and ?minimalism is a style of architecture?. After analyzing influences and characteristics of minimalism in contemporary space including certain examples from practice, and some case studies of the architectural achievements based on minimalist ideas, research results are concluded and defined according to previous hypothesis. The conclusion includes understanding of minimalism as a way of thinking and a life style.


2016 ◽  
Vol 26 (5) ◽  
pp. 1269-1290 ◽  
Author(s):  
Lorena Perez-Garcia ◽  
Jan Broekaert ◽  
Nicole Note

Purpose The purpose of this paper is to assess whether the temporal evolution of the normalized web distance (NWD) between significant terms concerning, e.g., a case of online activism can be used as a meta-data technique to measure evolution over time of, e.g., progress or decline of social empowerment. Design/methodology/approach The NWD between two terms has been identified as a quantitative measure for semantic proximity, ascertaining a defining relation between them. A trend analysis is made by performing on the internet a time window restrained series measurement of NWD of all combinations of key-terms and classifier-terms. Case defining key-terms, positive and negative discourse polarizing classifier-terms, and neutral classifier-terms for negative control need to be determined by discourse analysis of information on a targeted case. An example of NWD evolution from 1994 until 2013 is presented to measure the empowerment effects of the Wirikuta online movement on the Huichol people in Mexico. Findings The application of the NWD temporal evolution method to the Wirikuta case shows a slight but significant semantic change of the key-terms with respect to some of the positive and negative classifier-terms. The neutral classifier correctly shows no significant distance variation, as required for valid application of the method. The method provides indications for a complex image of empowerment of the Huichol identity. Research limitations/implications The accuracy of the method is limited due to short-term and between-user variability of the search tool’s page counts. More reliable access to a web-index will be required for more accurate NWD-based trend analysis. Practical implications The monitoring of temporal NWD evolution provides a potential tool for more comprehensive trend description compared to classical frequency based methods. Originality/value Trend analysis is key to internet research, to which the temporal NWD method provides an innovative contribution.


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