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🔗 Is 0 Odd or Even?

🔗 Mathematics

Zero is an even number. In other words, its parity—the quality of an integer being even or odd—is even. This can be easily verified based on the definition of "even": it is an integer multiple of 2, specifically 0 × 2. As a result, zero shares all the properties that characterize even numbers: for example, 0 is neighbored on both sides by odd numbers, any decimal integer has the same parity as its last digit—so, since 10 is even 0 will be even, and if y is even then y + x has the same parity as x—and x and 0 + x always have the same parity.

Zero also fits into the patterns formed by other even numbers. The parity rules of arithmetic, such as eveneven = even, require 0 to be even. Zero is the additive identity element of the group of even integers, and it is the starting case from which other even natural numbers are recursively defined. Applications of this recursion from graph theory to computational geometry rely on zero being even. Not only is 0 divisible by 2, it is divisible by every power of 2, which is relevant to the binary numeral system used by computers. In this sense, 0 is the "most even" number of all.

Among the general public, the parity of zero can be a source of confusion. In reaction time experiments, most people are slower to identify 0 as even than 2, 4, 6, or 8. Some students of mathematics—and some teachers—think that zero is odd, or both even and odd, or neither. Researchers in mathematics education propose that these misconceptions can become learning opportunities. Studying equalities like 0 × 2 = 0 can address students' doubts about calling 0 a number and using it in arithmetic. Class discussions can lead students to appreciate the basic principles of mathematical reasoning, such as the importance of definitions. Evaluating the parity of this exceptional number is an early example of a pervasive theme in mathematics: the abstraction of a familiar concept to an unfamiliar setting.

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🔗 Ovelgönne bread roll

🔗 Germany 🔗 Archaeology 🔗 Germany/Hamburg

The Ovelgönne Bread Roll is the remaining part of a bread roll originating from the Pre-Roman Iron Age of Northern Europe, which was found in 1952 during archaeological excavations in a loam mine in the Buxtehude district Ovelgönne in Lower Saxony, Germany. The piece of bread is the oldest surviving viennoiserie and formed bakery product from Europe. The find, along with a reconstruction, are in the permanent exhibition of the Archaeological Museum Hamburg in Harburg, Hamburg.

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🔗 Peer-to-Peer Insurance

🔗 Finance & Investment

Peer-to-peer insurance is a reciprocity insurance contract through the Collaborative consumption concept.

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🔗 Retired Husband Syndrome

🔗 Medicine 🔗 Psychology 🔗 Japan

Retired husband syndrome (主人在宅ストレス症候群, Shujin Zaitaku Sutoresu Shoukougun, literally "One's Husband Being at Home Stress Syndrome") (RHS) is a psychosomatic stress-related illness which has been estimated to occur in 60% of Japan's older female population. It is a condition where a woman begins to exhibit signs of physical illness and depression as her husband reaches, or approaches, retirement.

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🔗 Fuzzy Logic

🔗 Mathematics 🔗 Philosophy 🔗 Statistics

Fuzzy logic is a form of many-valued logic in which the truth values of variables may be any real number between 0 and 1 both inclusive. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. By contrast, in Boolean logic, the truth values of variables may only be the integer values 0 or 1.

The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by Lotfi Zadeh. Fuzzy logic had, however, been studied since the 1920s, as infinite-valued logic—notably by Łukasiewicz and Tarski.

Fuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical information. Fuzzy models or sets are mathematical means of representing vagueness and imprecise information (hence the term fuzzy). These models have the capability of recognising, representing, manipulating, interpreting, and utilising data and information that are vague and lack certainty.

Fuzzy logic has been applied to many fields, from control theory to artificial intelligence.

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🔗 Dunbar's Number

🔗 Psychology 🔗 Anthropology 🔗 Sociology

Dunbar's number is a suggested cognitive limit to the number of people with whom one can maintain stable social relationships—relationships in which an individual knows who each person is and how each person relates to every other person. This number was first proposed in the 1990s by British anthropologist Robin Dunbar, who found a correlation between primate brain size and average social group size. By using the average human brain size and extrapolating from the results of primates, he proposed that humans can comfortably maintain 150 stable relationships. Dunbar explained it informally as "the number of people you would not feel embarrassed about joining uninvited for a drink if you happened to bump into them in a bar".

Proponents assert that numbers larger than this generally require more restrictive rules, laws, and enforced norms to maintain a stable, cohesive group. It has been proposed to lie between 100 and 250, with a commonly used value of 150. Dunbar's number states the number of people one knows and keeps social contact with, and it does not include the number of people known personally with a ceased social relationship, nor people just generally known with a lack of persistent social relationship, a number which might be much higher and likely depends on long-term memory size.

Dunbar theorised that "this limit is a direct function of relative neocortex size, and that this in turn limits group size [...] the limit imposed by neocortical processing capacity is simply on the number of individuals with whom a stable inter-personal relationship can be maintained". On the periphery, the number also includes past colleagues, such as high school friends, with whom a person would want to reacquaint himself or herself if they met again.

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🔗 Basic income

🔗 Finance & Investment 🔗 Economics 🔗 Sociology 🔗 Sociology/social movements 🔗 Basic Income 🔗 Social Work 🔗 International development

Basic income, also called universal basic income (UBI), citizen's income, citizen's basic income in the United Kingdom, basic income guarantee in the United States and Canada, or basic living stipend or guaranteed annual income or universal demogrant, is a governmental public program for a periodic payment delivered to all on an individual basis without means test or work requirement. The incomes would be:

  • Unconditional: A basic income would vary with age, but with no other conditions. Everyone of the same age would receive the same basic income, whatever their gender, employment status, family structure, contribution to society, housing costs, or anything else.
  • Automatic: Someone's basic income would be automatically paid weekly or monthly into a bank account or similar.
  • Non-withdrawable: Basic incomes would not be means-tested. Whether someone's earnings increase, decrease, or stay the same, their basic income will not change.
  • Individual: Basic incomes would be paid on an individual basis and not on the basis of a couple or household.
  • As a right: Every legal resident would receive a basic income, subject to a minimum period of legal residency and continuing residency for most of the year.

Basic income can be implemented nationally, regionally or locally. An unconditional income that is sufficient to meet a person's basic needs (at or above the poverty line) is sometimes called a full basic income while if it is less than that amount, it is sometimes called partial. A welfare system with some characteristics similar to those of a basic income is a negative income tax in which the government stipend is gradually reduced with higher labour income. Some welfare systems are sometimes regarded as steps on the way to a basic income, but because they have conditionalities attached they are not basic incomes. If they raise household incomes to specified minima they are called guaranteed minimum income systems. For example, Bolsa Família in Brazil is restricted to poor families and the children are obligated to attend school.

Several political discussions are related to the basic income debate. Examples include the debates regarding robotization, artificial intelligence (AI), and the future of work. A key issue in these debates is whether robotisation and AI will significantly reduce the number of available jobs. Basic income often comes up as a proposal in these discussions.

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🔗 Nothwithstanding Clause lets Canadian Provinces violate Constitutional rights

🔗 Human rights 🔗 Canada 🔗 Law 🔗 Canada/Canadian law

Section 33 of the Canadian Charter of Rights and Freedoms is part of the Constitution of Canada. It is commonly known as the notwithstanding clause (French: clause dérogatoire or clause nonobstant), sometimes referred to as the override power, and it allows Parliament or provincial legislatures to temporarily override sections 2 and 7–15 of the Charter.

🔗 Expert Wizard Amendment

🔗 United States

The expert wizard amendment was a proposed amendment by New Mexico state senator Duncan Scott, which would require psychologists and psychiatrists to dress up as wizards when they were in court proceedings providing expert testimony regarding a defendant's competency. The amendment, proposed in 1995, passed New Mexico's Senate unanimously. Scott revealed the amendment was satirical prior to a vote in New Mexico House of Representatives following which it was removed and thus never signed into law.

Scott said that he crafted the amendment because he felt that there were an excessive number of mental health practitioners acting as expert witnesses.

🔗 Obesity in US 1985-2006

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