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The ordered pair (a, b) is different from the ordered pair (b, a), unless a = b. In contrast, the unordered pair, denoted {a, b}, always equals the unordered pair {b, a}. Ordered pairs are also called 2-tuples, or sequences (sometimes, lists in a computer science context) of length 2. Ordered pairs of scalars are sometimes called 2-dimensional ...
Rowntree's of York, England, have been making "Chocolate Beans" since at least 1882. [6] The product was renamed "Smarties Chocolate Beans" in 1937. [7] Rowntree's was forced to drop the words "chocolate beans" in 1937 due to trading standards requirements (the use of the word "beans" was felt to be misleading [citation needed]) so adopted the "Milk Chocolate in a Crisp Sugar Shell".
A partially ordered set (poset for short) is an ordered pair = (,) consisting of a set (called the ground set of ) and a partial order on . When the meaning is clear from context and there is no ambiguity about the partial order, the set X {\displaystyle X} itself is sometimes called a poset.
In mathematical notation, ordered set operators indicate whether an object precedes or succeeds another. These relationship operators are denoted by the unicode symbols U+227A-F, along with symbols located unicode blocks U+228x through U+22Ex.
An interval incidence coloring of G is an incidence coloring c such that for each vertex v of G the set () is an interval. [11] [12] The interval incidence coloring number of G is the minimum number of colors used for the interval incidence coloring of G. It is denoted by .
Sometimes an inversion is defined as the pair of values (σ(i), σ(j)); this makes no difference for the number of inversions, and the reverse pair (σ(j), σ(i)) is an inversion in the above sense for the inverse permutation σ −1.
In cables of more than 600 pairs, each of the 600-pair super binder group bundles is wrapped with a mylar binder ribbon, or string, matching the "tip" colors of the color code, starting with white. The pattern then starts over with the first 25-pair group as white/blue, and continues indefinitely, in multiples of 600 pairs or parts thereof.
Pair production often refers specifically to a photon creating an electron–positron pair near a nucleus. As energy must be conserved, for pair production to occur, the incoming energy of the photon must be above a threshold of at least the total rest mass energy of the two particles created. (As the electron is the lightest, hence, lowest ...
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