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🔗 Computing/Free and open-source software

🔗 Mathematics

A mathematical coincidence is said to occur when two expressions with no direct relationship show a near-equality which has no apparent theoretical explanation.

For example, there is a near-equality close to the round number 1000 between powers of 2 and powers of 10:

${\displaystyle 2^{10}=1024\approx 1000=10^{3}.}$

Some mathematical coincidences are used in engineering when one expression is taken as an approximation of another.

🔗 United States/U.S. Government 🔗 United States 🔗 Law 🔗 Open

Patentleft (also patent left, copyleft-style patent license or open patent) is the practice of licensing patents (especially biological patents) for royalty-free use, on the condition that adopters license related improvements they develop under the same terms. Copyleft-style licensors seek "continuous growth of a universally accessible technology commons" from which they, and others, will benefit.

Patentleft is analogous to copyleft, a license which allows distribution of a copyrighted work and derived works, but only under the same or equivalent terms.

🔗 Mathematics

Graham's number is an immense number that arises as an upper bound on the answer of a problem in the mathematical field of Ramsey theory. It is named after mathematician Ronald Graham, who used the number in conversations with popular science writer Martin Gardner as a simplified explanation of the upper bounds of the problem he was working on. In 1977, Gardner described the number in Scientific American, introducing it to the general public. At the time of its introduction, it was the largest specific positive integer ever to have been used in a published mathematical proof. The number was published in the 1980 Guinness Book of World Records, adding to its popular interest. Other specific integers (such as TREE(3)) known to be far larger than Graham's number have since appeared in many serious mathematical proofs, for example in connection with Harvey Friedman's various finite forms of Kruskal's theorem. Additionally, smaller upper bounds on the Ramsey theory problem from which Graham's number derived have since been proven to be valid.

Graham's number is much larger than many other large numbers such as Skewes' number and Moser's number, both of which are in turn much larger than a googolplex. As with these, it is so large that the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies one Planck volume, possibly the smallest measurable space. But even the number of digits in this digital representation of Graham's number would itself be a number so large that its digital representation cannot be represented in the observable universe. Nor even can the number of digits of that number—and so forth, for a number of times far exceeding the total number of Planck volumes in the observable universe. Thus Graham's number cannot be expressed even by power towers of the form ${\displaystyle a^{b^{c^{\cdot ^{\cdot ^{\cdot }}}}}}$.

However, Graham's number can be explicitly given by computable recursive formulas using Knuth's up-arrow notation or equivalent, as was done by Graham. As there is a recursive formula to define it, it is much smaller than typical busy beaver numbers. Though too large to be computed in full, the sequence of digits of Graham's number can be computed explicitly through simple algorithms. The last 12 digits are ...262464195387. With Knuth's up-arrow notation, Graham's number is ${\displaystyle g_{64}}$, where

🔗 Biography 🔗 Law 🔗 Computer Security 🔗 Computer Security/Computing 🔗 Biography/science and academia 🔗 Florida

Jonathan Joseph James (December 12, 1983 – May 18, 2008) was an American hacker who was the first juvenile incarcerated for cybercrime in the United States. The South Florida native was 15 years old at the time of the first offense and 16 years old on the date of his sentencing. He died at his Pinecrest, Florida home on May 18, 2008, of a self-inflicted gunshot wound.

🔗 Computer science 🔗 Mathematics

In combinatory logic for computer science, a fixed-point combinator (or fixpoint combinator),^: p.26 is a higher-order function (i.e. a function which takes a function as argument) that returns some fixed point (a value that is mapped to itself) of its argument function, if one exists.

Formally, if ${\displaystyle {\textsf {fix}}}$ is a fixed-point combinator and the function ${\displaystyle f}$ has one or more fixed points, then ${\displaystyle {\textsf {fix}}\ f}$ is one of these fixed points, i.e.

${\displaystyle f\ ({\textsf {fix}}\ f)={\textsf {fix}}\ f\ .}$

Fixed-point combinators can be defined in the lambda calculus and in functional programming languages and provide a means to allow for recursive definitions.

🔗 Religion 🔗 Classical Greece and Rome 🔗 Mythology

Glycon (Ancient Greek: Γλύκων Glýkōn, gen: Γλύκωνος Glýkōnos), also spelled Glykon, was an ancient snake god. He had a large and influential cult within the Roman Empire in the 2nd century, with contemporary satirist Lucian providing the primary literary reference to the deity. Lucian claimed Glycon was created in the mid-2nd century by the Greek prophet Alexander of Abonoteichos. Lucian was ill-disposed toward the cult, calling Alexander a false prophet and accusing the whole enterprise of being a hoax: Glycon himself was supposedly a hand puppet.

🔗 Internet 🔗 Computer Security 🔗 Computer Security/Computing

Foldering is the practice of communicating via messages saved to the "drafts" folder of an email or other electronic messaging account that is accessible by multiple people. The messages are never actually sent.

Foldering has been described as a digital equivalent of a dead drop.

🔗 Egypt

The Siwa Oasis (Arabic: واحة سيوة‎, Wāḥat Sīwah, IPA: [ˈwæːħet ˈsiːwæ]; Coptic: ⲥⲓⲟⲩⲁϩ Siwah; Berber languages: Isiwan, ⵉⵙⵉⵡⴰⵏ ) is an urban oasis in Egypt between the Qattara Depression and the Great Sand Sea in the Western Desert, 50 km (30 mi) east of the Libyan border, and 560 km (348 mi) from Cairo. About 80 km (50 mi) in length and 20 km (12 mi) wide, Siwa Oasis is one of Egypt's most isolated settlements with about 33,000 people, mostly Berbers, who developed a unique and isolated desert culture and a distinct dialect and language different than all other dialects called Siwi, they are also fluent in the Egyptian dialect of Arabic which is called "Masry" meaning Egyptian.

Its fame lies primarily in its ancient role as the home to an oracle of Ammon, the ruins of which are a popular tourist attraction which gave the oasis its ancient name Oasis of Amun Ra. Historically, it was part of Ancient Egypt.