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๐Ÿ”— The Scottish Book

๐Ÿ”— Books ๐Ÿ”— Poland

The Scottish Book (Polish: Ksiฤ™ga Szkocka) was a thick notebook used by mathematicians of the Lwรณw School of Mathematics in Poland for jotting down problems meant to be solved. The notebook was named after the "Scottish Cafรฉ" where it was kept.

Originally, the mathematicians who gathered at the cafe would write down the problems and equations directly on the cafe's marble table tops, but these would be erased at the end of each day, and so the record of the preceding discussions would be lost. The idea for the book was most likely originally suggested by Stefan Banach, or his wife, ลucja, who purchased a large notebook and left it with the proprietor of the cafe.

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๐Ÿ”— Transparent Aluminum

๐Ÿ”— Chemicals

Aluminium oxynitride (marketed under the name ALON by Surmet Corporation) is a transparent ceramic composed of aluminium, oxygen and nitrogen. ALON is optically transparent (โ‰ฅย 80%) in the near-ultraviolet, visible, and midwave-infrared regions of the electromagnetic spectrum. It is four times as hard as fused silica glass, 85% as hard as sapphire, and nearly 115% as hard as magnesium aluminate spinel. Since it has a cubic spinel structure, it can be fabricated to transparent windows, plates, domes, rods, tubes, and other forms using conventional ceramic powder processing techniques.

ALON is the hardest polycrystalline transparent ceramic available commercially. Because of its relatively low weight, distinctive optical and mechanical properties, and resistance to oxidation or radiation, it shows promise for applications such as bulletproof, blast-resistant, and optoelectronic windows. ALON-based armor has been shown to stop multiple armor-piercing projectiles of up to .50 BMG.

ALON is commercially available in sizes as large as 18-by-35-inch (460ย mm ร—ย 890ย mm; 46ย cm ร—ย 89ย cm) monolithic windows.

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๐Ÿ”— Mach's Principle

๐Ÿ”— Physics ๐Ÿ”— Physics/relativity

In theoretical physics, particularly in discussions of gravitation theories, Mach's principle (or Mach's conjecture) is the name given by Einstein to an imprecise hypothesis often credited to the physicist and philosopher Ernst Mach. The hypothesis attempted to explain how rotating objects, such as gyroscopes and spinning celestial bodies, maintain a frame of reference.

The proposition is that the existence of absolute rotation (the distinction of local inertial frames vs. rotating reference frames) is determined by the large-scale distribution of matter, as exemplified by this anecdote:

You are standing in a field looking at the stars. Your arms are resting freely at your side, and you see that the distant stars are not moving. Now start spinning. The stars are whirling around you and your arms are pulled away from your body. Why should your arms be pulled away when the stars are whirling? Why should they be dangling freely when the stars don't move?

Mach's principle says that this is not a coincidenceโ€”that there is a physical law that relates the motion of the distant stars to the local inertial frame. If you see all the stars whirling around you, Mach suggests that there is some physical law which would make it so you would feel a centrifugal force. There are a number of rival formulations of the principle, often stated in vague ways like "mass out there influences inertia here". A very general statement of Mach's principle is "local physical laws are determined by the large-scale structure of the universe".

Mach's concept was a guiding factor in Einstein's development of the general theory of relativity. Einstein realized that the overall distribution of matter would determine the metric tensor which indicates which frame is stationary with respect to rotation. Frame-dragging and conservation of gravitational angular momentum makes this into a true statement in the general theory in certain solutions. But because the principle is so vague, many distinct statements have been made which would qualify as a Mach principle, and some of which are false. The Gรถdel rotating universe is a solution of the field equations that is designed to disobey Mach's principle in the worst possible way. In this example, the distant stars seem to be revolving faster and faster as one moves further away. This example does not completely settle the question of the physical relevance of the principle because it has closed timelike curves.

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๐Ÿ”— Fourth, fifth, and sixth derivatives of position

๐Ÿ”— Physics

In physics, the fourth, fifth and sixth derivatives of position are defined as derivatives of the position vector with respect to time โ€“ with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively. Unlike the first three derivatives, the higher-order derivatives are less common, thus their names are not as standardized, though the concept of a minimum snap trajectory has been used in robotics and is implemented in MATLAB.

The fourth derivative is often referred to as snap or jounce. The name "snap" for the fourth derivative led to crackle and pop for the fifth and sixth derivatives respectively, inspired by the Rice Krispies mascots Snap, Crackle, and Pop. These terms are occasionally used, though "sometimes somewhat facetiously".

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๐Ÿ”— Black MIDI

๐Ÿ”— Music/Music genres

Black MIDI is a music genre consisting of compositions that use MIDI files to create a song or a remix containing a large number of notes, typically in the thousands, millions, billions, or even trillions. People who make black MIDIs are known as blackers. However, there are no specific criteria of what is considered "black"; as a result, pinpointing the exact origin of black MIDI is impossible.

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๐Ÿ”— Eigengrau

๐Ÿ”— Color ๐Ÿ”— Physiology

Eigengrau (German: "intrinsic gray", lit. "own gray"; pronounced [หˆส”aษชฬฏgnฬฉหŒgสaสŠฬฏ]), 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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๐Ÿ”— Webvan

๐Ÿ”— California ๐Ÿ”— Companies ๐Ÿ”— California/San Francisco Bay Area ๐Ÿ”— Internet ๐Ÿ”— Food and drink

Webvan was a dot-com company and grocery business that filed for bankruptcy in 2001 after 3 years of operation. It was headquartered in Foster City, California, United States. It delivered products to customers' homes within a 30-minute window of their choosing. At its peak, it offered service in ten US markets: the San Francisco Bay Area; Dallas; Sacramento; San Diego; Los Angeles; Orange County, California; Chicago; Seattle; Portland, Oregon; and Atlanta, Georgia. The company had hoped to expand to 26 cities by 2001.

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๐Ÿ”— Retired Husband Syndrome

๐Ÿ”— Medicine ๐Ÿ”— Psychology ๐Ÿ”— Japan

Retired husband syndrome (ไธปไบบๅœจๅฎ…ใ‚นใƒˆใƒฌใ‚น็—‡ๅ€™็พค, 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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๐Ÿ”— Mississippi River Basin Model

The Mississippi River Basin Model Waterways Experiment Station, located near Clinton, Mississippi, was a large-scale hydraulic model of the entire Mississippi River basin, covering an area of 200 acres. The model was built from 1943 to 1966 and in operation from 1949 until 1973. By comparison, the better known San Francisco Bay Model covers 1.5 acres and the Chesapeake Bay Model covers 8 acres. The model is now derelict, but open to the public within Buddy Butts Park, Jackson.

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