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A Langford pairing for n = 4. In combinatorial mathematics, a Langford pairing, also called a Langford sequence, is a permutation of the sequence of 2 n numbers 1, 1, 2, 2, ..., n, n in which the two 1s are one unit apart, the two 2s are two units apart, and more generally the two copies of each number k are k units apart.
List of unsolved problems in astronomy. This article is a list of notable unsolved problems in astronomy. Problems may be theoretical or experimental. Theoretical problems result from inability of current theories to explain observed phenomena or experimental results. Experimental problems result from inability to test or investigate a proposed ...
Pages in category "European route E25" The following 3 pages are in this category, out of 3 total. This list may not reflect recent changes. ...
Closest pair of points problem. The closest pair of points problem or closest pair problem is a problem of computational geometry: given points in metric space, find a pair of points with the smallest distance between them. The closest pair problem for points in the Euclidean plane [1] was among the first geometric problems that were treated at ...
Hints About Today's NYT Connections Categories on Saturday, June 15. 1. Related to a certain sport. 2. Related to a certain animal. 3. What might be mentioned when talking about hair. 4. They can ...
European route E 25 ( E 25) is a north–south European route, running from Hook of Holland in the Netherlands to Palermo in Italy. [2] [3] In the Netherlands, the highway runs from its northern terminus in Hook of Holland south–eastward through Rotterdam, Utrecht, 's-Hertogenbosch, Eindhoven and Maastricht to the Belgian border, near Eijsden.
Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result. The others are experimental, meaning that there is a difficulty in creating an experiment to test a proposed theory or investigate a phenomenon in greater detail.
The case n = 2 is the axiom of pairing with A = A 1 and B = A 2. The cases n > 2 can be proved using the axiom of pairing and the axiom of union multiple times. For example, to prove the case n = 3, use the axiom of pairing three times, to produce the pair {A 1,A 2}, the singleton {A 3}, and then the pair {{A 1,A 2},{A 3}}.