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rename(), which enables a user to alter the column names for variables, often to improve ease of use and intuitive understanding of a dataset; slice_max() , which returns a data subset that contains the rows with the highest number of values for some particular variable;
Concretely, in the case where the vector space has an inner product, in matrix notation these can be thought of as row vectors, which give a number when applied to column vectors. We denote this by V ∗ := Hom ( V , K ) {\displaystyle V^{*}:={\text{Hom}}(V,K)} , so that α ∈ V ∗ {\displaystyle \alpha \in V^{*}} is a linear map α : V → K ...
This is the renaming style used in the MIPS R10000, the Alpha 21264, and in the FP section of the AMD Athlon. In the renaming stage, every architectural register referenced (for read or write) is looked up in an architecturally-indexed remap file. This file returns a tag and a ready bit.
Abstract index notation (also referred to as slot-naming index notation) [1] is a mathematical notation for tensors and spinors that uses indices to indicate their types, rather than their components in a particular basis. [2] The indices are mere placeholders, not related to any basis and, in particular, are non-numerical.
First-generation (vacuum tube-based) electronic digital computer. 1961 $18.672B: $190.38B A basic installation of IBM 7030 Stretch had a cost at the time of US$7.78 million each. The IBM 7030 Stretch performs one floating-point multiply every 2.4 microseconds. [78] Second-generation (transistor-based) computer. 1964 $2.3B: $22.595B
Products, services, and subsidiaries have been offered from International Business Machines (IBM) Corporation and its predecessor corporations since the 1890s. [1] This list comprises those offerings and is eclectic; it includes, for example, the AN/FSQ-7, which was not a product in the sense of offered for sale, but was a product in the sense of manufactured—produced by the labor of IBM.
With regard to what actions the machine actually does, Turing (1936) [2] states the following: "This [example] table (and all succeeding tables of the same kind) is to be understood to mean that for a configuration described in the first two columns the operations in the third column are carried out successively, and the machine then goes over into the m-configuration in the final column."