Initial conditionIn mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0). For a system of order k (the number of time lags in discrete time, or the order of the largest derivative in continuous time) and dimension n (that is, with n different evolving variables, which together can be denoted by an n-dimensional coordinate vector), generally nk initial conditions are needed in order to trace the system's variables forward through time.
Numerical analysisNumerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.
Gas giantA gas giant is a giant planet composed mainly of hydrogen and helium. Gas giants are also called failed stars because they contain the same basic elements as a star. Jupiter and Saturn are the gas giants of the Solar System. The term "gas giant" was originally synonymous with "giant planet". However, in the 1990s, it became known that Uranus and Neptune are really a distinct class of giant planets, being composed mainly of heavier volatile substances (which are referred to as "ices").
Agaricus bisporusAgaricus bisporus is an edible basidiomycete mushroom native to grasslands in Eurasia and North America. It has two color states while immature – white and brown – both of which have various names, with additional names for the mature state. A. bisporus is cultivated in more than 70 countries and is one of the most commonly and widely consumed mushrooms in the world. The pileus or cap of the original wild species is a pale grey-brown, with broad, flat scales on a paler background and fading toward the margins.
Dot-com bubbleThe dot-com bubble (or dot-com boom) was a stock market bubble in the late 1990s. The period coincided with massive growth in Internet adoption, a proliferation of available venture capital, and the rapid growth of valuations in new dot-com startups. Between 1995 and its peak in March 2000, investments in the NASDAQ composite stock market index rose 800%, only to fall 740% from its peak by October 2002, giving up all its gains during the bubble. During the dot-com crash, many online shopping companies, notably Pets.
Economic collapseEconomic collapse, also called economic meltdown, is any of a broad range of bad economic conditions, ranging from a severe, prolonged depression with high bankruptcy rates and high unemployment (such as the Great Depression of the 1930s), to a breakdown in normal commerce caused by hyperinflation (such as in Weimar Germany in the 1920s), or even an economically caused sharp rise in the death rate and perhaps even a decline in population (such as in countries of the former USSR in the 1990s).
Superluminal motionIn astronomy, superluminal motion is the apparently faster-than-light motion seen in some radio galaxies, BL Lac objects, quasars, blazars and recently also in some galactic sources called microquasars. Bursts of energy moving out along the relativistic jets emitted from these objects can have a proper motion that appears greater than the speed of light. All of these sources are thought to contain a black hole, responsible for the ejection of mass at high velocities. Light echoes can also produce apparent superluminal motion.
Surface gravityThe surface gravity, g, of an astronomical object is the gravitational acceleration experienced at its surface at the equator, including the effects of rotation. The surface gravity may be thought of as the acceleration due to gravity experienced by a hypothetical test particle which is very close to the object's surface and which, in order not to disturb the system, has negligible mass. For objects where the surface is deep in the atmosphere and the radius not known, the surface gravity is given at the 1 bar pressure level in the atmosphere.
Collapse: How Societies Choose to Fail or SucceedCollapse: How Societies Choose to Fail or Succeed (titled Collapse: How Societies Choose to Fail or Survive for the British edition) is a 2005 book by academic and popular science author Jared Diamond, in which the author first defines collapse: "a drastic decrease in human population size and/or political/economic/social complexity, over a considerable area, for an extended time.
