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1.1.1.1. 1.1.1.1 is a free Domain Name System (DNS) service by the American company Cloudflare in partnership with APNIC. [7] [needs update] The service functions as a recursive name server, providing domain name resolution for any host on the Internet. The service was announced on April 1, 2018. [8]
In mathematics, the infinite series 1 − 1 + 1 − 1 + ⋯, also written = is sometimes called Grandi's series, after Italian mathematician, philosopher, and priest Guido Grandi, who gave a memorable treatment of the series in 1703.
1 + 1 + 1 + 1 + ⋯ is a divergent series, meaning that its sequence of partial sums does not converge to a limit in the real numbers . The sequence 1 n can be thought of as a geometric series with the common ratio 1. For some other divergent geometric series, including Grandi's series with ratio −1, and the series 1 + 2 + 4 + 8 + ⋯ with ...
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
1 ( one, unit, unity) is a number a single unit of counting or measurement. It is generally used as a standard mathematical length, for example, the unit vector is a vector of length 1. 1 is the first nonzero natural number and the first and smallest positive integer. This fundamental property has led to its unique uses in other fields, ranging ...
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
The all-ones matrix arises in the mathematical field of combinatorics, particularly involving the application of algebraic methods to graph theory.For example, if A is the adjacency matrix of an n-vertex undirected graph G, and J is the all-ones matrix of the same dimension, then G is a regular graph if and only if AJ = JA. [7]
The Internet (or internet) [ a] is the global system of interconnected computer networks that uses the Internet protocol suite (TCP/IP) [ b] to communicate between networks and devices. It is a network of networks that consists of private, public, academic, business, and government networks of local to global scope, linked by a broad array of ...