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For two sets of strings S 1 and S 2, the concatenation S 1 S 2 consists of all strings of the form vw where v is a string from S 1 and w is a string from S 2, or formally S 1 S 2 = { vw : v ∈ S 1, w ∈ S 2}. Many authors also use concatenation of a string set and a single string, and vice versa, which are defined similarly by S 1 w = { vw ...
A concatenative programming language is a point-free computer programming language in which all expressions denote functions, and the juxtaposition of expressions denotes function composition. [1] Concatenative programming replaces function application , which is common in other programming styles, with function composition as the default way ...
Similarly, the vertical bar may see use as a delimiter for regular expression operations (e.g. in sed). This is useful when the regular expression contains instances of the more common forward slash (/) delimiter; using a vertical bar eliminates the need to escape all instances of the forward slash. However, this makes the bar unusable as the ...
Let H be a Hadamard matrix of order n.The transpose of H is closely related to its inverse.In fact: = where I n is the n × n identity matrix and H T is the transpose of H.To see that this is true, notice that the rows of H are all orthogonal vectors over the field of real numbers and each have length .
Useless use of cat (UUOC) is common Unix jargon for command line constructs that only provide a function of convenience to the user. [12] In computing, the word "abuse", [ 13 ] in the second sense of the definition, is used to disparage the excessive or unnecessary use of a language construct; thus, abuse of cat is sometimes called "cat abuse".
In 1950, when Academic Press published G. Kuerti’s translation of the second edition of volume 2 of Lectures on Theoretical Physics by Sommerfeld, vector notation was the subject of a footnote: "In the original German text, vectors and their components are printed in the same Gothic types. The more usual way of making a typographical ...
The word horizontal is derived from the Latin horizon, which derives from the Greek ὁρῐ́ζων, meaning 'separating' or 'marking a boundary'. [2] The word vertical is derived from the late Latin verticalis, which is from the same root as vertex, meaning 'highest point' or more literally the 'turning point' such as in a whirlpool.
Vertical transmission of symbionts is the transfer of a microbial symbiont from the parent directly to the offspring. [1] Many metazoan species carry symbiotic bacteria which play a mutualistic , commensal , or parasitic role. [ 1 ]