In mathematics, a total order or linear order is a partial order in which any two elements are comparable. That is, a total order is a binary relation...

Look up total in Wiktionary, the free dictionary. Total may refer to: Total, the summation of a set of numbers Total order, a partial order without incomparable...

partitions (partitions of the elements into disjoint subsets, together with a total order on the subsets). In many cases another representation called a preferential...

generally, of elements of a totally ordered set. There are several variants and generalizations of the lexicographical ordering. One variant applies to sequences...

first when two actions are processed. By contrast, total-order planning maintains a total ordering between all actions at every stage of planning. Given...

In mathematics, an order topology is a specific topology that can be defined on any totally ordered set. It is a natural generalization of the topology...

In mathematics, a well-order (or well-ordering or well-order relation) on a set S is a total ordering on S with the property that every non-empty subset...

partial cyclic order is a ternary relation that generalizes a (total) cyclic order in the same way that a partial order generalizes a total order. It is cyclic...

other. Partial orders thus generalize total orders, in which every pair is comparable. Formally, a partial order is a homogeneous binary relation that...

complementPages displaying short descriptions of redirect targets Total order – Order whose elements are all comparable Ideal – Nonempty, upper-bounded...

antisymmetric, asymmetric, transitive, total, trichotomous, a partial order, total order, strict weak order, total preorder (weak order), or an equivalence relation...

emphasised form of total, the tee- is presumably a reduplication of the first letter of total, much as contemporary idiom might say "total with a capital...

strict partial order that is connected is a strict total order. A relation is a total order if and only if it is both a partial order and strongly connected...

every nonzero real number a. The total order is denoted a < b . {\displaystyle a<b.} being that it is a total order means two properties: given two real...

and Fresh TV Order Up 3rd Season of Total Dramarama". Animation Magazine. Retrieved August 1, 2020. Wikiquote has quotations related to Total Drama. Canadian...

In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations. Basic examples...

specifically abstract algebra, a linearly ordered or totally ordered group is a group G equipped with a total order "≤" that is translation-invariant. This may...

In mathematics, a monomial order (sometimes called a term order or an admissible order) is a total order on the set of all (monic) monomials in a given...

and b in P, we have that: a ≤ b or b ≤ a. A partial order with this property is called a total order. These orders can also be called linear orders or chains...

or reverses the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory. In calculus,...

connected in an overall implicate order: I propose that each moment of time is a projection from the total implicate order. The term projection is a particularly...

partial order is a total order that is compatible with it, in the sense that, if x ≤ y in the partial order, then x ≤ y in the total order as well. One can...

In order theory, a branch of mathematics, a linear extension of a partial order is a total order (or linear order) that is compatible with the partial...

Total: From Joy Division to New Order is a compilation album of material from the British bands Joy Division and New Order. It was released in the United...

The Most Excellent Order of the British Empire is a British order of chivalry, rewarding valuable service in a wide range of useful activities. It comprises...

A total institution or residential institution is a residential facility where a great number of similarly situated people, cut off from the wider community...

In mathematics, a partial order or total order < on a set X {\displaystyle X} is said to be dense if, for all x {\displaystyle x} and y {\displaystyle...

method typically defines a total order on a set of possible identifiers, called sort keys, which consequently produces a total preorder on the set of items...

Total War is a series of strategy games developed by British developer Creative Assembly for personal computers. They combine turn-based strategy and...

surreals have a total order: given any two surreals, they are either equal, or one is greater than the other. The games have only a partial order: there exist...