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🔗 Gallery of animations that explain math ideas
Below is a mostly comprehensive gallery of all images — illustrations, diagrams and animations — that I have created for Wikipedia over the years, some of which have been selected as featured pictures, or even picture of the day. As you'll probably notice, they're mostly related to physics and mathematics, which are my main areas of interest.
If you have any comments, requests, suggestions or corrections, feel free to drop me a message on my talk page. But please, before making a suggestion, first take a look and see what sort of stuff I can do. Due to time, knowledge and complexity constraints, I cannot guarantee I'll be able to make a good illustration of any topic.
You can also follow me on tumblr for WIPs, current and failed projects and other creations.
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Discussed on
- "Gallery of animations that explain math ideas" | 2015-01-04 | 79 Upvotes 1 Comments
🔗 Nepal Standard Time
Nepal Standard Time (NPT) is the time zone for Nepal. With a time offset from Coordinated Universal Time (UTC) of UTC+05:45 all over Nepal, it is one of only three time zones with a 45-minute offset from UTC. (The others are Chatham Island Standard Time, with an offset of UTC+12:45, and the unofficial Australian Central Western Time, with an offset of UTC+08:45.)
NPT is an approximation of Kathmandu mean time, which is 5:41:16 ahead of UTC. The standard meridian passes through the peak of Gaurishankar mountain about 100 kilometres (62 mi) east of Kathmandu.
Nepal used local solar time until 1920, in Kathmandu UTC+05:41:16. In 1920, Nepal adopted Indian Standard Time, UTC+05:30. In 1986 Nepal advanced their clocks by 15 minutes, giving them a time zone of UTC+05:45.
Discussed on
- "Nepal Standard Time" | 2015-01-02 | 32 Upvotes 51 Comments
🔗 Pattern theory
Pattern theory, formulated by Ulf Grenander, is a mathematical formalism to describe knowledge of the world as patterns. It differs from other approaches to artificial intelligence in that it does not begin by prescribing algorithms and machinery to recognize and classify patterns; rather, it prescribes a vocabulary to articulate and recast the pattern concepts in precise language. Broad in its mathematical coverage, Pattern Theory spans algebra and statistics, as well as local topological and global entropic properties.
In addition to the new algebraic vocabulary, its statistical approach is novel in its aim to:
- Identify the hidden variables of a data set using real world data rather than artificial stimuli, which was previously commonplace.
- Formulate prior distributions for hidden variables and models for the observed variables that form the vertices of a Gibbs-like graph.
- Study the randomness and variability of these graphs.
- Create the basic classes of stochastic models applied by listing the deformations of the patterns.
- Synthesize (sample) from the models, not just analyze signals with them.
The Brown University Pattern Theory Group was formed in 1972 by Ulf Grenander. Many mathematicians are currently working in this group, noteworthy among them being the Fields Medalist David Mumford. Mumford regards Grenander as his "guru" in Pattern Theory.
🔗 Pax Mongolica
The Pax Mongolica (Latin for "Mongol Peace"), less often known as Pax Tatarica ("Tatar Peace"), is a historiographical term modelled after the original phrase Pax Romana which describes the stabilizing effects of the conquests of the Mongol Empire on the social, cultural and economic life of the inhabitants of the vast Eurasian territory that the Mongols conquered in the 13th and 14th centuries. The term is used to describe the eased communication and commerce the unified administration helped to create and the period of relative peace that followed the Mongols' vast conquests.
The conquests of Genghis Khan (r. 1206–1227) and his successors, spanning from Southeast Asia to Eastern Europe, effectively connected the Eastern world with the Western world. The Silk Road, connecting trade centres across Asia and Europe, came under the sole rule of the Mongol Empire. It was commonly said that "a maiden bearing a nugget of gold on her head could wander safely throughout the realm". Despite the political fragmentation of the Mongol Empire into four khanates (Yuan dynasty, Golden Horde, Chagatai Khanate and Ilkhanate), nearly a century of conquest and civil war was followed by relative stability in the early 14th century. The end of the Pax Mongolica was marked by the disintegration of the khanates and the outbreak of the Black Death in Asia which spread along trade routes to much of the world in the mid-14th century.
During this time, Mongol elements including the ʼPhags-pa script made numerous appearances in western art (see Mongol elements in Western medieval art).
Discussed on
- "Pax Mongolica" | 2014-12-29 | 51 Upvotes 24 Comments
🔗 The inventor of the SR-71's rules for project management
Clarence Leonard "Kelly" Johnson (February 27, 1910 – December 21, 1990) was an American aeronautical and systems engineer. He is recognized for his contributions to a series of important aircraft designs, most notably the Lockheed U-2 and SR-71 Blackbird. Besides the first production aircraft to exceed Mach 3, he also produced the first fighter capable of Mach 2, the United States' first operational jet fighter, as well as the first fighter to exceed 400 mph, and many other contributions to various aircraft. As a member and first team leader of the Lockheed Skunk Works, Johnson worked for more than four decades and is said to have been an "organizing genius". He played a leading role in the design of over forty aircraft, including several honored with the prestigious Collier Trophy, acquiring a reputation as one of the most talented and prolific aircraft design engineers in the history of aviation. In 2003, as part of its commemoration of the 100th anniversary of the Wright Brothers' flight, Aviation Week & Space Technology ranked Johnson eighth on its list of the top 100 "most important, most interesting, and most influential people" in the first century of aerospace. Hall Hibbard, Johnson's Lockheed boss, referring to Johnson's Swedish ancestry, once remarked to Ben Rich: "That damned Swede can actually see air."
Discussed on
- "The inventor of the SR-71's rules for project management" | 2014-12-18 | 126 Upvotes 56 Comments
🔗 Iridium satellite constellation
The Iridium satellite constellation provides L-band voice and data information coverage to satellite phones, pagers and integrated transceivers over the entire Earth surface. Iridium Communications owns and operates the constellation, additionally selling equipment and access to its services. It was originally conceived by Bary Bertiger, Raymond J. Leopold and Ken Peterson in late 1987 (in 1988 protected by patents Motorola filed in their names) and then developed by Motorola on a fixed-price contract from July 29, 1993, to November 1, 1998, when the system became operational and commercially available.
The constellation consists of 66 active satellites in orbit, required for global coverage, and additional spare satellites to serve in case of failure. Satellites are in low Earth orbit at a height of approximately 781 km (485 mi) and inclination of 86.4°. Orbital velocity of the satellites is approximately 27,000 km/h (17,000 mph). Satellites communicate with neighboring satellites via Ka band inter-satellite links. Each satellite can have four inter-satellite links: one each to neighbors fore and aft in the same orbital plane, and one each to satellites in neighboring planes to either side. The satellites orbit from pole to same pole with an orbital period of roughly 100 minutes. This design means that there is excellent satellite visibility and service coverage especially at the North and South poles. The over-the-pole orbital design produces "seams" where satellites in counter-rotating planes next to one another are traveling in opposite directions. Cross-seam inter-satellite link hand-offs would have to happen very rapidly and cope with large Doppler shifts; therefore, Iridium supports inter-satellite links only between satellites orbiting in the same direction. The constellation of 66 active satellites has six orbital planes spaced 30° apart, with 11 satellites in each plane (not counting spares). The original concept was to have 77 satellites, which is where the name Iridium came from, being the element with the atomic number 77 and the satellites evoking the Bohr model image of electrons orbiting around the Earth as its nucleus. This reduced set of six planes is sufficient to cover the entire Earth surface at every moment.
Because of the shape of the original Iridium satellites' reflective antennas, the first generation satellites focus sunlight on a small area of the Earth surface in an incidental manner. This results in an effect called Iridium flares, where the satellite momentarily appears as one of the brightest objects in the night sky and can be seen even during daylight. Newer Iridium satellites do not produce flares.
Discussed on
- "Iridium satellite constellation" | 2014-12-11 | 52 Upvotes 43 Comments
🔗 txet lanoitcerid-iB
A bidirectional text contains both text directionalities, right-to-left (RTL or dextrosinistral) and left-to-right (LTR or sinistrodextral). It generally involves text containing different types of alphabets, but may also refer to boustrophedon, which is changing text direction in each row.
Some writing systems including the Arabic and Hebrew scripts or derived systems such as the Persian, Urdu, and Yiddish scripts, are written in a form known as right-to-left (RTL), in which writing begins at the right-hand side of a page and concludes at the left-hand side. This is different from the left-to-right (LTR) direction used by the dominant Latin script. When LTR text is mixed with RTL in the same paragraph, each type of text is written in its own direction, which is known as bidirectional text. This can get rather complex when multiple levels of quotation are used.
Many computer programs fail to display bidirectional text correctly. For example, the Hebrew name Sarah (שרה) is spelled: sin (ש) (which appears rightmost), then resh (ר), and finally heh (ה) (which should appear leftmost).
Note: Some web browsers may display the Hebrew text in this article in the opposite direction.
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- "txet lanoitcerid-iB" | 2014-11-27 | 105 Upvotes 14 Comments
🔗 Thermoacoustic heat engine
Thermoacoustic engines (sometimes called "TA engines") are thermoacoustic devices which use high-amplitude sound waves to pump heat from one place to another (this requires work, which is provided by the loudspeaker) or use a heat difference to produce work in the form of sound waves (these waves can then be converted into electrical current the same way as a microphone does).
These devices can be designed to use either standing wave or travelling wave.
Compared to vapor refrigerators, thermoacoustic refrigerators have no coolant and few moving parts (only the loudspeaker), therefore require no dynamic sealing or lubrication.
Discussed on
- "Thermoacoustic heat engine" | 2014-11-11 | 21 Upvotes 2 Comments
🔗 The Great Emu War
The Emu War, also known as the Great Emu War, was a nuisance wildlife management military operation undertaken in Australia over the latter part of 1932 to address public concern over the number of emus said to be running amok in the Campion district of Western Australia. The unsuccessful attempts to curb the population of emus, a large flightless bird indigenous to Australia, employed soldiers armed with Lewis guns—leading the media to adopt the name "Emu War" when referring to the incident. While a number of the birds were killed, the emu population persisted and continued to cause crop destruction.
Discussed on
- "Emu War" | 2024-01-15 | 16 Upvotes 7 Comments
- "The Great Emu War" | 2014-11-09 | 15 Upvotes 3 Comments
🔗 Biefeld–Brown effect
The Biefeld–Brown effect is an electrical phenomenon that produces an ionic wind that transfers its momentum to surrounding neutral particles. It describes a force observed on an asymmetric capacitor when high voltage is applied to the capacitor's electrodes. Once suitably charged up to high DC potentials, a thrust at the negative terminal, pushing it away from the positive terminal, is generated. The effect was named by inventor Thomas Townsend Brown who claimed that he did a series of experiments with professor of astronomy Paul Alfred Biefeld, a former teacher of Brown whom Brown claimed was his mentor and co-experimenter at Denison University in Ohio.
The use of an asymmetric capacitor, with the negative electrode being larger than the positive electrode, allowed for more thrust to be produced in the direction from the low-flux to the high-flux region compared to a conventional capacitor. These asymmetric capacitors became known as Asymmetrical Capacitor Thrusters (ACT). The Biefeld–Brown effect can be observed in ionocrafts and lifters, which utilize the effect to produce thrust in the air without requiring any combustion or moving parts.
In his 1960 patent titled "Electrokinetic Apparatus," Brown refers to electrokinesis to describe the Biefeld–Brown effect, linking the phenomenon to the field of electrohydrodynamics (EHD). Brown also believed the Biefeld–Brown effect could produce an anti-gravity force, referred to as "electrogravitics" based on it being an electricity/gravity phenomenon. However, there is little evidence that supports Brown's claim on the effect's anti-gravity properties.
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- "Biefeld–Brown effect" | 2014-10-26 | 27 Upvotes 3 Comments