adj

• (computing, of a resource) Connected directly to a particular computer, processor, etc.; able to be accessed offline.
  "local disk drive"
• (computing, of a variable or identifier) Having limited scope (either lexical or dynamic); only accessible within a certain portion of a program.
• (mathematics, not comparable, of a condition or property) Applying to or satisfied by substructures understood as "near points;" in particular:
  "A Hausdorff space satisfying local compactness need not be (globally) compact!"
• (mathematics, not comparable, of a condition or property) Applying to or satisfied by substructures understood as "near points;" in particular:

noun

• (rail transport) Clipping of local train.
  "The expresses skipped my station, so I had to take a local."
• (British) One's nearest or regularly frequented public house or bar.
  "I got barred from my local, so I've started going all the way into town for a drink."
• (programming) A locally scoped identifier.
  "Functional programming languages usually don't allow changing the immediate value of locals once they've been initialized, unless they're explicitly marked as being mutable."
• (US, slang, journalism) An item of news relating to the place where the newspaper is published.