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## Possible Answers:
**SUM**.

**SUM**.

Last seen on: –The Sun – Two Speed Crossword – Dec 4 2020

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–NY Times Crossword 19 Jan 20, Sunday

NY Times Crossword 1 Jul 19, Monday

### Random information on the term “Total”:

In mathematics, a total order, simple order, linear order, connex order, or full order[page needed] is a binary relation on some set X {\displaystyle X} , which is antisymmetric, transitive, and a connex relation. A set paired with a total order is called a chain, a totally ordered set, a simply ordered set, or a linearly ordered set.

Formally, a binary relation ≤ {\displaystyle \leq } is a total order on a set X {\displaystyle X} if the following statements hold for all a , b {\displaystyle a,b} and c {\displaystyle c} in X {\displaystyle X} :

Antisymmetry eliminates uncertain cases when both a {\displaystyle a} precedes b {\displaystyle b} and b {\displaystyle b} precedes a {\displaystyle a} .:325 A relation having the connex property means that any pair of elements in the set of the relation are comparable under the relation. This also means that the set can be diagrammed as a line of elements, giving it the name linear.:330 The connex property also implies reflexivity, i.e., a ≤ a. Therefore, a total order is also a (special case of a) partial order, as, for a partial order, the connex property is replaced by the weaker reflexivity property. An extension of a given partial order to a total order is called a linear extension of that partial order.

### Random information on the term “SUM”:

In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total. Besides numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any types of mathematical objects on which an operation denoted “+” is defined.

Summations of infinite sequences are called series. They involve the concept of limit, and are not considered in this article.

The summation of an explicit sequence is denoted as a succession of additions. For example, summation of [1, 2, 4, 2] is denoted 1 + 2 + 4 + 2, and results in 9, that is, 1 + 2 + 4 + 2 = 9. Because addition is associative and commutative, there is no need of parentheses, and the result does not depend on the order of the summands. Summation of a sequence of only one element results in this element itself. Summation of an empty sequence (a sequence with zero element) results, by convention, in 0.