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🔗 Electronics

Resistor–transistor logic (RTL) (sometimes also transistor–resistor logic (TRL)) is a class of digital circuits built using resistors as the input network and bipolar junction transistors (BJTs) as switching devices. RTL is the earliest class of transistorized digital logic circuit; it was succeeded by diode–transistor logic (DTL) and transistor–transistor logic (TTL).

RTL circuits were first constructed with discrete components, but in 1961 it became the first digital logic family to be produced as a monolithic integrated circuit. RTL integrated circuits were used in the Apollo Guidance Computer, whose design begun in 1961 and which first flew in 1966.

🔗 Sports 🔗 Basketball

Height can significantly influence success in sports, depending on how the design of the sport is linked to factors that are height-biased due to physics and biology. The balance of the intricate array of links will determine the degree to which height plays a role in success, if any.

🔗 Mathematics 🔗 Physics 🔗 Statistics

In mathematical statistics, the Kullback–Leibler divergence (also called relative entropy and I-divergence), denoted ${\displaystyle D_{\text{KL}}(P\parallel Q)}$, is a type of statistical distance: a measure of how one probability distribution P is different from a second, reference probability distribution Q. A simple interpretation of the KL divergence of P from Q is the expected excess surprise from using Q as a model when the actual distribution is P. While it is a distance, it is not a metric, the most familiar type of distance: it is not symmetric in the two distributions (in contrast to variation of information), and does not satisfy the triangle inequality. Instead, in terms of information geometry, it is a type of divergence, a generalization of squared distance, and for certain classes of distributions (notably an exponential family), it satisfies a generalized Pythagorean theorem (which applies to squared distances).

In the simple case, a relative entropy of 0 indicates that the two distributions in question have identical quantities of information. Relative entropy is a nonnegative function of two distributions or measures. It has diverse applications, both theoretical, such as characterizing the relative (Shannon) entropy in information systems, randomness in continuous time-series, and information gain when comparing statistical models of inference; and practical, such as applied statistics, fluid mechanics, neuroscience and bioinformatics.

🔗 Mathematics 🔗 Systems 🔗 Systems/Chaos theory

In mathematics, the Weierstrass function is an example of a real-valued function that is continuous everywhere but differentiable nowhere. It is an example of a fractal curve. It is named after its discoverer Karl Weierstrass.

The Weierstrass function has historically served the role of a pathological function, being the first published example (1872) specifically concocted to challenge the notion that every continuous function is differentiable except on a set of isolated points. Weierstrass's demonstration that continuity did not imply almost-everywhere differentiability upended mathematics, overturning several proofs that relied on geometric intuition and vague definitions of smoothness. These types of functions were denounced by contemporaries: Henri Poincaré famously described them as "monsters" and called Weierstrass' work "an outrage against common sense", while Charles Hermite wrote that they were a "lamentable scourge". The functions were difficult to visualize until the arrival of computers in the next century, and the results did not gain wide acceptance until practical applications such as models of Brownian motion necessitated infinitely jagged functions (nowadays known as fractal curves).

🔗 Human rights 🔗 Bible 🔗 England

Select Parts of the Holy Bible for the use of the Negro Slaves in the British West-India Islands, sometimes referred to as a slave bible, is an abbreviated version of the Bible specifically made for teaching a pro-slavery version of Christianity to enslaved people in the British West Indies.

🔗 Medicine 🔗 Economics 🔗 Psychology 🔗 United Kingdom 🔗 Sociology

Shit life syndrome (SLS) is a phrase used by physicians in the United Kingdom and the United States for the effect that a variety of poverty or abuse-induced disorders can have on patients.

Sarah O'Connor's 2018 article for the Financial Times "Left behind: can anyone save the towns the economy forgot?" on shit life syndrome in the English coastal town of Blackpool won the 2018 Orwell Prize for Exposing Britain's Social Evils. O'Connor wrote that

Blackpool exports healthy skilled people and imports the unskilled, the unemployed and the unwell. As people overlooked by the modern economy wash up in a place that has also been left behind, the result is a quietly unfolding health crisis. More than a tenth of the town's working-age inhabitants live on state benefits paid to those deemed too sick to work. Antidepressant prescription rates are among the highest in the country. Life expectancy, already the lowest in England, has recently started to fall. Doctors in places such as this have a private diagnosis for what ails some of their patients: "Shit Life Syndrome" ... People with SLS really do have mental or physical health problems, doctors say. But they believe the causes are a tangled mix of economic, social and emotional problems that they — with 10- to 15-minute slots per patient — feel powerless to fix. The relationship between economics and health is blurry, complex and politically fraught. But it is too important to ignore.

In a column for The Irish Times, writer John McManus questioned whether Ireland had developed shit life syndrome in the wake of a recent fall in life expectancy.

A 2018 article in The Quietus on the films of the British director Mike Leigh identified shit life syndrome in Leigh's 2002 film All or Nothing. Kinney wrote that "The film asks questions about poverty – what does poverty do to people? How do you react when the chips are down? ... The rise of populism in this country has been analysed through the lens of the 'left behind' – in a less crude way, this is exactly what All or Nothing was observing sixteen years ago."

Rosemary Rizq, in an essay in the 2016 collection The Future of Psychological Therapy, questioned the origin of the term shit life syndrome, writing that "The phrase seemed to denote a level of long-standing poverty, family breakdown, lack of stability, unemployment and potential risk factors common to many of the predominately young, working class patients referred to the [psychotherapeutic] service" for shit is "something that we continually reject, get rid of or hide. At the same time it is something we cannot completely repudiate, it is part of us, something we need" and that the individuals with SLS have problems so "terrible, so untouchable" that they "quite literally cannot be thought about, cannot be handled by the service", yet a therapeutic organisation is "obliged to do so".

🔗 Law 🔗 England

The man on the Clapham omnibus is a hypothetical ordinary and reasonable person, used by the courts in English law where it is necessary to decide whether a party has acted as a reasonable person would – for example, in a civil action for negligence. The character is a reasonably educated, intelligent but nondescript person, against whom the defendant's conduct can be measured.

The term was introduced into English law during the Victorian era, and is still an important concept in British law. It is also used in other Commonwealth common law jurisdictions, sometimes with suitable modifications to the phrase as an aid to local comprehension. The route of the original "Clapham omnibus" is unknown but London Buses route 88 was briefly branded as "the Clapham Omnibus" in the 1990s and is sometimes associated with the term.

🔗 Economics

The parable of the broken window was introduced by French economist Frédéric Bastiat in his 1850 essay "That Which We See and That Which We Do Not See" ("Ce qu'on voit et ce qu'on ne voit pas") to illustrate why destruction, and the money spent to recover from destruction, is not actually a net benefit to society.

The parable seeks to show how opportunity costs, as well as the law of unintended consequences, affect economic activity in ways that are unseen or ignored. The belief that destruction is good for the economy is consequently known as the broken window fallacy or glazier's fallacy.

"Fart Proudly" (also called "A Letter to a Royal Academy about farting", and "To the Royal Academy of Farting") is the popular name of an essay about flatulence written by Benjamin Franklin c. 1781 while he was living abroad as United States Ambassador to France. It is an example of flatulence humor.