|n.||1.||The aggregate of two or more numbers, magnitudes, quantities, or particulars; the amount or whole of any number of individuals or particulars added together; |
|2.||A quantity of money or currency; any amount, indefinitely; |
|3.||The principal points or thoughts when viewed together; the amount; the substance; compendium; |
|4.||Height; completion; utmost degree.|
|5.||(Arith.) A problem to be solved, or an example to be wrought out.|
A sum in arithmetic wherein a flaw discovered at a particular point is ipso facto fatal to the whole.
|v. t.||1.||To bring together into one whole; to collect into one amount; to cast up, as a column of figures; to ascertain the totality of; - usually with up.|
|2.||To bring or collect into a small compass; to comprise in a few words; to condense; - usually with up.|
|3.||(Falconry) To have (the feathers) full grown; to furnish with complete, or full-grown, plumage.|
|Noun||1.||sum - a quantity of money; "he borrowed a large sum"; "the amount he had in cash was insufficient"|
|2.||sum - a quantity obtained by addition|
|3.||sum - the final aggregate; "the sum of all our troubles did not equal the misery they suffered"|
|4.||sum - the choicest or most essential or most vital part of some idea or experience; "the gist of the prosecutor's argument"; "the heart and soul of the Republican Party"; "the nub of the story"|
|5.||sum - the whole amount|
|6.||sum - the basic unit of money in Uzbekistan|
|7.||sum - a set containing all and only the members of two or more given sets; "let C be the union of the sets A and B"|
|Verb||1.||sum - be a summary of; "The abstract summarizes the main ideas in the paper"|
|2.||sum - determine the sum of; "Add all the people in this town to those of the neighboring town"|
|1.||(theory)||sum - In domain theory, the sum A + B of two domains
contains all elements of both domains, modified to indicate
which part of the union they come from, plus a new bottom
element. There are two constructor functions associated with
inA : A -> A+B inB : B -> A+B inA(a) = (0,a) inB(b) = (1,b)
and a disassembly operation:
case d of isA
This can be generalised to arbitrary numbers of domains.
See also smash sum, disjoint union.
|2.||(tool)||sum - A Unix utility to calculate a 16-bit checksum of
the data in a file. It also displays the size of the file,
either in kilobytes or in 512-byte blocks. The checksum may
differ on machines with 16-bit and 32-bit ints.|
Unix manual page: sum(1).