Popular Articles (Page 15)
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🔗 Yoda conditions
In programming jargon, Yoda conditions (also called Yoda notation) is a programming style where the two parts of an expression are reversed from the typical order in a conditional statement. A Yoda condition places the constant portion of the expression on the left side of the conditional statement. The name for this programming style is derived from the Star Wars character named Yoda, who speaks English with a non-standard syntax.
Yoda conditions are part of the Symfony, and the WordPress coding standards.
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- "Yoda conditions" | 2019-08-15 | 133 Upvotes 104 Comments
- "Yoda Conditions" | 2017-02-17 | 76 Upvotes 79 Comments
🔗 PayPal Mafia
The "PayPal Mafia" is a group of former PayPal employees and founders who have since founded and developed additional technology companies such as Tesla Motors, LinkedIn, Palantir Technologies, SpaceX, YouTube, Yelp, and Yammer. Most of the members attended Stanford University or University of Illinois at Urbana–Champaign at some point in their studies.
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- "PayPal Mafia" | 2021-09-04 | 110 Upvotes 53 Comments
- "PayPal Mafia" | 2014-01-31 | 162 Upvotes 63 Comments
🔗 Metcalf Sniper Attack
On April 16, 2013, a sophisticated assault was carried out on Pacific Gas and Electric Company's Metcalf Transmission Substation in Coyote, California, near the border of San Jose. The attack, in which gunmen fired on 17 electrical transformers, resulted in more than $15 million worth of equipment damage, but it had little impact on the station's electrical power supply.
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- "Metcalf Sniper Attack" | 2020-08-29 | 210 Upvotes 161 Comments
🔗 The official term for the smell after it rains
Petrichor () is the earthy scent produced when rain falls on dry soil. The word is constructed from Greek petra (πέτρα), meaning "stone", and īchōr (ἰχώρ), the fluid that flows in the veins of the gods in Greek mythology.
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- "Petrichor" | 2022-12-27 | 151 Upvotes 44 Comments
- "The official term for the smell after it rains" | 2009-12-21 | 148 Upvotes 36 Comments
🔗 Gödel's Loophole
Gödel's Loophole is a "inner contradiction" in the Constitution of the United States which Austrian-German-American logician, mathematician, and analytic philosopher Kurt Gödel claimed to have discovered in 1947. The flaw would have allowed the American democracy to be legally turned into a dictatorship. Gödel told his friend Oskar Morgenstern about the existence of the flaw and Morgenstern told Albert Einstein about it at the time, but Morgenstern, in his recollection of the incident in 1971, never mentioned the exact problem as Gödel saw it. This has led to speculation about the precise nature of what has come to be called "Gödel's Loophole". It has been called "one of the great unsolved problems of constitutional law."
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- "Gödel's Loophole" | 2023-07-24 | 21 Upvotes 4 Comments
- "Gödel's Loophole" | 2023-04-05 | 12 Upvotes 2 Comments
- "Gödel's Loophole" | 2023-01-20 | 10 Upvotes 1 Comments
- "Gödel's Loophole" | 2021-03-25 | 131 Upvotes 130 Comments
🔗 Banach–Tarski Paradox
The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in 3‑dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball. Indeed, the reassembly process involves only moving the pieces around and rotating them without changing their shape. However, the pieces themselves are not "solids" in the usual sense, but infinite scatterings of points. The reconstruction can work with as few as five pieces.
A stronger form of the theorem implies that given any two "reasonable" solid objects (such as a small ball and a huge ball), the cut pieces of either one can be reassembled into the other. This is often stated informally as "a pea can be chopped up and reassembled into the Sun" and called the "pea and the Sun paradox".
The reason the Banach–Tarski theorem is called a paradox is that it contradicts basic geometric intuition. "Doubling the ball" by dividing it into parts and moving them around by rotations and translations, without any stretching, bending, or adding new points, seems to be impossible, since all these operations ought, intuitively speaking, to preserve the volume. The intuition that such operations preserve volumes is not mathematically absurd and it is even included in the formal definition of volumes. However, this is not applicable here because in this case it is impossible to define the volumes of the considered subsets. Reassembling them reproduces a volume, which happens to be different from the volume at the start.
Unlike most theorems in geometry, the proof of this result depends in a critical way on the choice of axioms for set theory. It can be proven using the axiom of choice, which allows for the construction of non-measurable sets, i.e., collections of points that do not have a volume in the ordinary sense, and whose construction requires an uncountable number of choices.
It was shown in 2005 that the pieces in the decomposition can be chosen in such a way that they can be moved continuously into place without running into one another.
Discussed on
- "Banach–Tarski Paradox" | 2024-06-26 | 62 Upvotes 75 Comments
- "Banach–Tarski Paradox" | 2015-07-22 | 11 Upvotes 5 Comments
- "Banach-Tarski paradox" | 2012-12-09 | 51 Upvotes 52 Comments
- "The Banach–Tarski paradox" | 2008-12-27 | 26 Upvotes 20 Comments
🔗 Eigengrau
Eigengrau (German: "intrinsic gray", lit. "own gray"; pronounced [ˈʔaɪ̯gn̩ˌgʁaʊ̯]), also called Eigenlicht (Dutch and German: "own light"), dark light, or brain gray, is the uniform dark gray background that many people report seeing in the absence of light. The term Eigenlicht dates back to the nineteenth century, but has rarely been used in recent scientific publications. Common scientific terms for the phenomenon include "visual noise" or "background adaptation". These terms arise due to the perception of an ever-changing field of tiny black and white dots seen in the phenomenon.
Eigengrau is perceived as lighter than a black object in normal lighting conditions, because contrast is more important to the visual system than absolute brightness. For example, the night sky looks darker than Eigengrau because of the contrast provided by the stars.
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- "Eigengrau" | 2021-07-11 | 73 Upvotes 23 Comments
- "Eigengrau" | 2013-06-23 | 217 Upvotes 68 Comments
🔗 Surveillance Capitalism
Surveillance capitalism has a number of meanings around the commodification of personal information. Since 2014, social psychologist Shoshana Zuboff has used and popularized the term.
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- "Surveillance Capitalism" | 2021-07-27 | 16 Upvotes 1 Comments
- "Surveillance Capitalism" | 2020-04-12 | 71 Upvotes 38 Comments
- "Surveillance Capitalism" | 2019-03-13 | 14 Upvotes 2 Comments
🔗 Gruen transfer
In shopping mall design, the Gruen transfer (also known as the Gruen effect) is the moment when consumers enter a shopping mall or store and, surrounded by an intentionally confusing layout, lose track of their original intentions, making consumers more susceptible to make impulse buys. It is named for Austrian architect Victor Gruen, who disavowed such manipulative techniques.
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- "Gruen Transfer" | 2024-06-11 | 134 Upvotes 76 Comments
- "Gruen transfer" | 2018-04-15 | 105 Upvotes 58 Comments
🔗 Core War
Core War is a 1984 programming game created by D. G. Jones and A. K. Dewdney in which two or more battle programs (called "warriors") compete for control of a virtual computer. These battle programs are written in an abstract assembly language called Redcode.
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- "Core War, a very old game about programming" | 2023-08-14 | 66 Upvotes 14 Comments
- "Core War" | 2022-02-11 | 236 Upvotes 50 Comments