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The long real line pastes together ℵ 1 * + ℵ 1 copies of the real line plus a single point (here ℵ 1 * denotes the reversed ordering of ℵ 1) to create an ordered set that is "locally" identical to the real numbers, but somehow longer; for instance, there is an order-preserving embedding of ℵ 1 in the long real line but not in the real ...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Given an integral domain R, its field of fractions Q(R) is built with the fractions of two elements of R exactly as Q is constructed from the integers. More precisely, the elements of Q(R) are the fractions a/b where a and b are in R, and b ≠ 0. Two fractions a/b and c/d are equal if and only if ad = bc. The operation on the fractions work ...
The base "Roman fraction" is S, indicating 1 ⁄ 2. The use of S (as in VIIS to indicate 7 1 ⁄ 2) is attested in some ancient inscriptions [45] and also in the now rare apothecaries' system (usually in the form SS): [44] but while Roman numerals for whole numbers are essentially decimal, S does not correspond to 5 ⁄ 10, as one might expect ...
Chinese word for "crisis" The Chinese word for "crisis" (危机) is not composed of the symbols for "danger" and "opportunity"; the first does represent danger, but the second instead means "inflection point" (the original meaning of the word "crisis"). [96] [97] The misconception was popularized mainly by campaign speeches by John F. Kennedy. [96]
BK Chicken Fries are a fried chicken product sold by the international fast-food restaurant chain Burger King.At the time of their introduction in 2005, the company had intended Chicken Fries to be one of their larger, adult-oriented products made with higher-quality ingredients than their standard menu items.
Game music which changes and reacts to the actions of the player and state of the game in an attempt to better reflect the game atmosphere. [10] adaptive AI A form of artificial intelligence which takes data based on how the player performs and uses it to learn to better counter the player. [citation needed] add-on See downloadable content. adds