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Topic Review
Proportional Cake-Cutting
A proportional cake-cutting is a kind of fair cake-cutting. It is a division of a heterogeneous resource ("cake") that satisfies the proportionality criterion, namely, that every partner feels that his allocated share is worth at least 1/n of the total. Two assumptions are usually made when proportionality is discussed: The valuations of the partners are non-atomic, i.e., there are no indivisible elements with positive value. The valuations of the partners are additive, i.e., when a piece is divided, the value of the piece is equal to the sum of its parts.
  • 439
  • 31 Oct 2022
Topic Review
Proportional Cake-cutting with Different Entitlements
In the fair cake-cutting problem, the partners often have different entitlements. For example, the resource may belong to two shareholders such that Alice holds 8/13 and George holds 5/13. This leads to the criterion of weighted proportionality (WPR): there are several weights [math]\displaystyle{ w_i }[/math] that sum up to 1, and every partner [math]\displaystyle{ i }[/math] should receive at least a fraction [math]\displaystyle{ w_i }[/math] of the resource by their own valuation. In contrast, in the simpler proportional cake-cutting setting, the weights are equal: [math]\displaystyle{ w_i=1/n }[/math] for all [math]\displaystyle{ i }[/math] Several algorithms can be used to find a WPR division.
  • 300
  • 20 Oct 2022
Topic Review
Proportional Representation
Proportional representation (PR) characterizes electoral systems in which divisions in an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical and political divisions of the electorate. The essence of such systems is that all votes contribute to the result—not just a plurality, or a bare majority. The most prevalent forms of proportional representation all require the use of multiple-member voting districts (also called super-districts), as it is not possible to fill a single seat in a proportional manner. In fact, PR systems that achieve the highest levels of proportionality tend to include districts with large numbers of seats, as large as a province or an entire nation. The most widely used families of PR electoral systems are party-list PR, single transferable vote (STV), and mixed-member PR (MMP). In the European Parliament for instance, each member state has a number of seats that is (roughly) proportional to its population, enabling geographical proportional representation. Almost all European countries also have political proportional representation (ideological proportional representation to the degree that parties honestly describe their goals): When n% of the electorate support a particular political party or set of candidates as their favorite, then roughly n% of seats are allotted to that party or those candidates. According to the ACE Electoral Knowledge Network, some form of proportional representation is used for national lower house elections in 94 countries. Party list PR, being used in 85 countries, is the most widely used. MMP is used in seven lower houses. STV is used in only two: Ireland, since independence in 1922, and Malta, since 1921. STV is also used in the Australian Senate, and can be used for nonpartisan elections such as the city council of Cambridge MA. Due to factors such as electoral thresholds and the use of small constituencies, as well as manipulation tactics such as party splitting and gerrymandering, perfect proportionality is rarely achieved under these systems. Nonetheless, they approximate proportionality much better than other systems. Some jurisdictions use leveling seats to compensate for such factors.
  • 1.8K
  • 14 Oct 2022
Topic Review
Proportionality (Law)
Proportionality is a general principle in law which covers several special (although related) concepts. The concept of proportionality is used as a criterion of fairness and justice in statutory interpretation processes, especially in constitutional law, as a logical method intended to assist in discerning the correct balance between the restriction imposed by a corrective measure and the severity of the nature of the prohibited act. Within criminal law, it is used to convey the idea that the punishment of an offender should fit the crime. Under international humanitarian law governing the legal use of force in an armed conflict, proportionality and distinction are important factors in assessing military necessity.
  • 2.3K
  • 11 Oct 2022
Topic Review
Protection Motivation and Food Waste Reduction Strategies
“Ugly food” refers to agricultural products that are discarded because their appearance is not attractive, even though their nutritional content is unaffected. Protection motivation theory (PMT) was applied to analyze whether an individual’s awareness of food waste problems affects their “ugly food” purchase intention.
  • 507
  • 28 Feb 2022
Topic Review
Protests Against SOPA and PIPA
On January 18, 2012, a series of coordinated protests occurred against two proposed laws in the United States Congress—the Stop Online Piracy Act (SOPA) and the PROTECT IP Act (PIPA). These followed smaller protests in late 2011. Protests were based on concerns that the bills, intended to provide more robust responses to copyright infringement (also known as piracy) arising outside the United States, contained measures that could possibly infringe online freedom of speech, websites, and Internet communities. Protesters also argued that there were insufficient safeguards in place to protect sites based upon user-generated content. The move to a formal protest was initiated when Fight for the Future organized thousands of the most popular websites in the world, including the English Wikipedia, to temporarily close or interrupt their content and redirect users to a message opposing the proposed legislation. Websites such as Google, Reddit, Mozilla, and Flickr soon featured protests against the acts. Some shut down completely, while others kept some or all of their content accessible. According to Fight for the Future, more than 115,000 websites joined the Internet protest. In addition to the online protests, there were simultaneous physical demonstrations in several U.S. cities, including New York City, San Francisco and Seattle, and separately during December 2011 a mass boycott of then–supporter GoDaddy. The protests were reported globally. The January protest, initially planned to coincide with the first SOPA hearing of the year, drew publicity and reaction. Days prior to the action, the White House issued a statement that it would "not support legislation that reduces freedom of expression, increases cybersecurity risk, or undermines the dynamic, innovative global Internet." On January 18, 2012 itself, more than 8 million people looked up their representative on Wikipedia, 3 million people emailed Congress to express opposition to the bills, more than 1 million messages were sent to Congress through the Electronic Frontier Foundation, a petition at Google recorded over 4.5 million signatures, Twitter recorded at least 2.4 million SOPA-related tweets, and lawmakers collected "more than 14 million names—more than 10 million of them voters—who contacted them to protest" the bills. During and after the January protest, a number of politicians who had previously supported the bills expressed concerns with the proposals in their existing form, while others withdrew their support entirely. Internationally, "scathing" criticism of the bills was voiced from World Wide Web inventor Sir Tim Berners-Lee, as well as the European Commissioner for the Digital Agenda. Some observers were critical of the tactics used; the Boston Herald described the service withdrawals as evidence of "how very powerful these cyber-bullies can be." Motion Picture Association of America Chairman Chris Dodd stated that the coordinated shutdown was "an abuse of power given the freedoms these companies enjoy in the marketplace today." Others such as The New York Times saw the protests as "a political coming of age for the tech industry." By January 20, 2012, the political environment regarding both bills had shifted significantly. The bills were removed from further voting, ostensibly to be revised to take into consideration the issues raised, but according to The New York Times probably "shelved" following a "flight away from the bill". Opposers noted the bills had been "indefinitely postponed" but cautioned they were "not dead" and "[would] return."
  • 1.6K
  • 10 Oct 2022
Topic Review
Provenance in Alternative Food Movements
Provenance, as a tool to mobilize place, can re-valorize lost connections and in the course it can contribute towards highly sorted qualitative understanding of food. Driven by the need for a qualitative understanding of food, provenance needs to be taken out from Western cosmology to realize authentic connections. We demonstrated through provenance that how these connections can be authentically cultivated and protected by animistic approaches.
  • 627
  • 23 Jul 2021
Topic Review
Psilocybin
Psilocybin, a psychoactive alkaloid contained in hallucinogenic mushrooms, is nowadays given a lot of attention in the scientific community as a research tool for modeling psychosis as well as due to its potential therapeutic effects. Psilocybin was marketed by Sandoz as Indocybin for basic psychopharmacological and therapeutic clinical research, rising in popularity during the 1960s and classified as a Schedule I drug in 1970. Psilocybin is a naturally occurring tryptamine known for its psychedelic properties. Recent research indicates that psilocybin may constitute a valid approach to treat depression and anxiety associated to life-threatening diseases. 
  • 1.1K
  • 23 Sep 2020
Topic Review
Psychic Numbing
Psychic numbing is a tendency for individuals or societies to withdraw attention from past experiences that were traumatic, or from future threats that are perceived to have massive consequences but low probability. Psychic numbing can be a response to threats as diverse as financial and economic collapse, the risk of nuclear weapon detonations, pandemics, and global warming. It is also important to consider the neuroscience behind the phenomenon, which gives validation to the observable human behavior. The term has evolved to include both societies as well as individuals, so psychic numbing can be viewed from either a collectivist or an individualist standpoint. Individualist psychic numbing is found in victims of rape and people who suffer from post-traumatic stress disorder.
  • 654
  • 03 Nov 2022
Topic Review
Psycho-Didactic Approach in Religious and Moral Education
The psycho-didactic approach in education is becoming more and more popular. Its supporters emphasize the great values that are associated with the implementation of this approach to various fields of science and school subjects. The greatest value of the psycho-didactic approach is supporting the personal growth of the learner by respecting the developmental factors involved in each subject’s learning processes. Psycho-didactics could also be used in the design of core curricula and their implementation in the field of religious, ethical, and moral education. By supporting personal development through moral and religious education, it is possible to simultaneously influence the agency of each learner. Personal agency in self-development, as well as in religious and moral development, is one of the greatest challenges for modern education and one of the most significant issues of positive mental health advancement in the field of education. Within psycho-didactics, it becomes possible to foster every student in an individual way, therefore all methods and techniques used in the psycho-didactic approach are focused on the student’s needs.
  • 1.0K
  • 24 Nov 2021
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