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Ramanujan's lost notebook is the manuscript in which the Indian mathematician Srinivasa Ramanujan recorded the mathematical discoveries of the last year (1919–1920) of his life. Its whereabouts were unknown to all but a few mathematicians until it was rediscovered by George Andrews in 1976, in a box of effects of G. N. Watson stored at the Wren Library at Trinity College, Cambridge. The "notebook" is not a book, but consists of loose and unordered sheets of paper described as "more than one hundred pages written on 138 sides in Ramanujan's distinctive handwriting. The sheets contained over six hundred mathematical formulas listed consecutively without proofs."

George Andrews and Bruce C. Berndt (2005, 2009, 2012, 2013, 2018) have published several books in which they give proofs for Ramanujan's formulas included in the notebook. Berndt says of the notebook's discovery: "The discovery of this 'Lost Notebook' caused roughly as much stir in the mathematical world as the discovery of Beethoven’s tenth symphony would cause in the musical world."

An albino redwood is a redwood tree which is unable to produce chlorophyll, and has white needles instead of the normal green. It survives by obtaining sugar through the connections between its roots and those of neighboring normal redwood(s), usually the parent tree from whose base it has sprouted. Sap exchange through roots is a general phenomenon among redwoods. About 400 are known. They can be found in Henry Cowell Redwoods State Park, Humboldt Redwoods State Park, San Francisco Botanical Garden, Huddart Park, and The Santa Lucia Preserve, with eleven trees in the first. The exact locations are not publicized to protect the rare trees. They reach a maximum height of about 20 m (66 ft). Other conifers lack the ability to graft their roots, so 'albino' mutants of other species do not survive to become sizable trees.

The trees were important to Native Americans and were recorded in their legends. For example, the Pomo people used them in their cleansing ceremonies.

Albino redwoods are generally regarded as parasitic plants, but as of 2016 one researcher speculates that they are supported by other trees for their role in storing toxic heavy metals. Albinos apparently accumulate more metals than normal trees because of defective stomata, which cause them to lose more water through transpiration, forcing them to compensate by taking up more water through their roots.

Six phenotypes of albino redwood have been classified: white, bright yellow, cellular virescent green, pale green, mottled and nonchimeric variegated. Such mutants can be either basal (growing from a burl at the base of a tree) or aerial (branching off from a tree above the ground). The bright yellow form is exclusively aerial and is thought to be associated with excess xanthophyll production. The pale green form lacks just one specific type of chlorophyll and is almost always basal. Cellular virescent green trees have a few normal cells (whose abundance may vary over time) interspersed among the mutant cells.

Ten cases are known of chimeric redwoods that have a mosaic of albino and normal tissues. Only a single chimeric redwood is known to produce cones. Formerly threatened by the Sonoma–Marin Area Rail Transit rail development, it has since been replanted.

Three phenotypes of chimeric redwoods have been noted: sectorial, mericlinal and periclinal. In sectorial mutants, albino cells are present vertically through all cell layers, with genotype boundaries usually parallel to the stem. Mericlinal trees have mutant cells in only some cell layers and have an unstable phenotype; the albino cells can disappear and reappear in successive years. A periclinal chimera has both mutant and normal cells distributed horizontally across the tip of each bud propagating at equal rates, leading to a very stable phenotype.

In computing, a zooming user interface or zoomable user interface (ZUI, pronounced zoo-ee) is a type of graphical user interface (GUI) where users can change the scale of the viewed area in order to see more detail or less, and browse through different documents. Information elements appear directly on an infinite virtual desktop (usually created using vector graphics), instead of in windows. Users can pan across the virtual surface in two dimensions and zoom into objects of interest. For example, as you zoom into a text object it may be represented as a small dot, then a thumbnail of a page of text, then a full-sized page and finally a magnified view of the page.

ZUIs use zooming as the main metaphor for browsing through hyperlinked or multivariate information. Objects present inside a zoomed page can in turn be zoomed themselves to reveal further detail, allowing for recursive nesting and an arbitrary level of zoom.

When the level of detail present in the resized object is changed to fit the relevant information into the current size, instead of being a proportional view of the whole object, it's called semantic zooming.

Some consider the ZUI paradigm as a flexible and realistic successor to the traditional windowing GUI, being a Post-WIMP interface.

The resource curse, also known as the paradox of plenty or the poverty paradox, is the phenomenon of countries with an abundance of natural resources (such as fossil fuels and certain minerals) having less economic growth, less democracy, or worse development outcomes than countries with fewer natural resources. There are many theories and much academic debate about the reasons for and exceptions to the adverse outcomes. Most experts believe the resource curse is not universal or inevitable but affects certain types of countries or regions under certain conditions.

In computer science, program synthesis is the task to construct a program that provably satisfies a given high-level formal specification. In contrast to program verification, the program is to be constructed rather than given; however, both fields make use of formal proof techniques, and both comprise approaches of different degrees of automation. In contrast to automatic programming techniques, specifications in program synthesis are usually non-algorithmic statements in an appropriate logical calculus.

The primary application of program synthesis is to relieve the programmer of the burden of writing correct, efficient code that satisfies a specification. However, program synthesis also has applications to superoptimization and inference of loop invariants.

Von Neumann's elephant is a problem in recreational mathematics, consisting of constructing a planar curve in the shape of an elephant from only four fixed parameters. It originated from a discussion between physicists John von Neumann and Enrico Fermi.

Germanwings Flight 9525 was a scheduled international passenger flight from Barcelona–El Prat Airport in Spain to Düsseldorf Airport in Germany. The flight was operated by Germanwings, a low-cost carrier owned by the German airline Lufthansa. On 24 March 2015, the aircraft, an Airbus A320-211, crashed 100 km (62 mi; 54 nmi) north-west of Nice in the French Alps. All 144 passengers and six crew members were killed.

The crash was deliberately caused by the co-pilot, Andreas Lubitz, who had previously been treated for suicidal tendencies and declared unfit to work by his doctor. Lubitz kept this information from his employer and instead reported for duty. Shortly after reaching cruise altitude and while the captain was out of the cockpit, Lubitz locked the cockpit door and initiated a controlled descent that continued until the aircraft hit a mountainside.

Aviation authorities swiftly implemented new recommendations from the European Union Aviation Safety Agency that required two authorised personnel in the cockpit at all times but, by 2017, Germanwings and other German airlines had dropped the rule.

The Lubitz family held a press conference in March 2017 during which Lubitz's father said that they did not accept the official investigative findings that his son deliberately caused the crash. By 2017, Lufthansa had paid €75,000 to the family of every victim, as well as €10,000 in pain and suffering compensation to every close relative of a victim.

Hügelkultur (German pronunciation: [ˈhyːɡl̩kʊlˌtuːɐ̯]), literally mound bed or mound culture, is a horticultural technique where a mound constructed from decaying wood debris and other compostable biomass plant materials is later (or immediately) planted as a raised bed. Considered a permaculture practice, advocates claim that the technique helps to improve soil fertility, water retention, and soil warming, thus benefitting plants grown on or near such mounds.

The V-2 No. 13 was a modified V-2 rocket that became the first object to take a photograph of the Earth from outer space. Launched on 24 October 1946, at the White Sands Missile Range in White Sands, New Mexico, the rocket reached a maximum altitude of 65 mi (105 km).