On a Deterministic Property of the Category of kk-almost Primes: A Deterministic Structure Based on a Linear Function for Redefining the kk-almost Primes (∃n∈N\exists n\in {\rm N} , 1≤k≤n1{\le} k {\le}n) in Certain Intervals

In this paper based on a sort of linear function, a deterministic and simple algorithm with an algebraic structure is presented for calculating all (and only) $k$-almost primes ($where$ $\exists n\in {\rm N}$, $1{\le} k {\le}n$) in certain interval. A theorem has been proven showing a new deterministic property of the category of $k$-almost primes. Through a linear function that we obtain, an equivalent redefinition of the $k$-almost primes with an algebraic characteristic is identified. Moreover, as an outcome of our function's property some relations which contain new information about the $k$-almost primes (including primes) are presented.Comment: 10 pages. Accepted and presented article in the 11th ANTS, Korea, 2014. The 11th ANTS is one of international satellite conferences of ICM 2014: The 27th International Congress of Mathematicians, Korea. (Expanded version

Open source and consumption

This article illuminates the common concepts and widely-observed practices concerning open source. Positioning 'open-source' as a common practice and a viable methodology for collaborative participatory co-production in today's knowledge society, the article explains how open-source co-production participatory methods, now also seen in mundane cultural, food and beverage production and consumption, evolve from the Free/Libre Open Source Software (FLOSS) movement, what motivate people to participate, and how such practices implicate in different sectors in contemporary societies. This article argues that the open-source practices resemble the amateur DIY cultures and can be considered as a lifestyle, elected and subscribed by some. Open source suggests that consumption is no longer simply a passive activity; it could be a personal statement, a liberating, creative and varied experience

A qualitative study of stakeholders' perspectives on the social network service environment

Over two billion people are using the Internet at present, assisted by the mediating activities of software agents which deal with the diversity and complexity of information. There are, however, ethical issues due to the monitoring-and-surveillance, data mining and autonomous nature of software agents. Considering the context, this study aims to comprehend stakeholders' perspectives on the social network service environment in order to identify the main considerations for the design of software agents in social network services in the near future. Twenty-one stakeholders, belonging to three key stakeholder groups, were recruited using a purposive sampling strategy for unstandardised semi-structured e-mail interviews. The interview data were analysed using a qualitative content analysis method. It was possible to identify three main considerations for the design of software agents in social network services, which were classified into the following categories: comprehensive understanding of users' perception of privacy, user type recognition algorithms for software agent development and existing software agents enhancement

Openness and education: a beginner’s guide

While recent high-profile developments such as Massive Open Online Courses (MOOCs) have placed renewed emphasis on the idea of openness in education, different notions of open in relation to education can be found dating back to the 1960s. This document builds on recent research undertaken to trace this history, acknowledging that there is no single root of ‘open’ in this context, but to map the different ways of thinking about open education that have come to bear on the field we see today. Mapping of themes across time aims to provides those new to the field with a useful overview of the history and introduction to the concept of openness, and ways to explore the literature further. Each section of this document will summarise the nature of one of the themes, and its relationship to the broader network. Additionally, the document provides an annotated bibliography, through summaries of five of the most influential publications across a range of perspectives in each theme