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  2. 1.1.1.1 - Wikipedia

    en.wikipedia.org/wiki/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 .

  3. Grandi's series - Wikipedia

    en.wikipedia.org/wiki/Grandi's_series

    Grandi's series. 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. It is a divergent series, meaning that the sequence of partial sums of the series does not converge.

  4. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The Collatz conjecture is: This process will eventually reach the number 1, regardless of which positive integer is chosen initially. That is, for each , there is some with . If the conjecture is false, it can only be because there is some starting number which gives rise to a sequence that does not contain 1.

  5. 1 + 1 + 1 + 1 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_1_%2B_1_%2B_1_%2B_%E...

    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 ...

  6. Wildcard mask - Wikipedia

    en.wikipedia.org/wiki/Wildcard_mask

    A wildcard mask is a mask of bits that indicates which parts of an IP address are available for examination. In the Cisco IOS, [1] they are used in several places, for example: To indicate the size of a network or subnet for some routing protocols, such as OSPF. To indicate what IP addresses should be permitted or denied in access control lists ...

  7. EDNS Client Subnet - Wikipedia

    en.wikipedia.org/wiki/EDNS_Client_Subnet

    EDNS Client Subnet. EDNS Client Subnet (ECS) is an option in the Extension Mechanisms for DNS that allows a recursive DNS resolver to specify the subnetwork for the host or client on whose behalf it is making a DNS query. This is generally intended to help speed up the delivery of data from content delivery networks (CDNs), by allowing better ...

  8. Matrix of ones - Wikipedia

    en.wikipedia.org/wiki/Matrix_of_ones

    Matrix of ones. In mathematics, a matrix of ones or all-ones matrix has every entry equal to one. [1] Examples of standard notation are given below: Some sources call the all-ones matrix the unit matrix, [2] but that term may also refer to the identity matrix, a different type of matrix. A vector of ones or all-ones vector is matrix of ones ...

  9. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    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 ...