Totally Ordered

In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation (here denoted by infix ≤) on some set X which is transitive, antisymmetric, and total. A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain.If X is totally ordered under ≤, then the following statements hold for all a, b and c in X: If a ≤ b and b ≤ a then a = b (antisymmetry); If a ≤ b and b ≤ c then a ≤ c (transitivity); a ≤ b or b ≤ a (totality).Antisymmetry eliminates uncertain cases when both a precedes b and b precedes a.
Posts about Totally Ordered
  • How did engineers make Facebook Messenger more efficient?

    How did engineers make Facebook Messenger more efficient? As Facebook unbundled messaging from the main mobile app, the company started making major improvements to its standalone Facebook Messenger app. A blog post by Facebook engineers Jeremy Fein and Jason Jenks shows how the social network made Messenger more efficient.

    Justin Lafferty/ Inside Facebook- 11 readers -
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