What is the standalone definition of a "Construct" in Swift 2.0?

If you mean Swift initializers, then the Apple documentation is a possible source: https://developer.apple.com/library/mac/documentation/Swift/Conceptual/Swift_Programming_Language/Initialization.html

Other programming languages like Java use the term constructor rather than initializer, but sometimes when folk are working in both languages it's possible they may use constructor in a swift class when they mean initializer.

Whatever, initializers are "special" methods whose main job is to make sure that all member (instance) variables have been initialized.

To borrow an example from the Apple documentation:

struct Fahrenheit {
    var temperature: Double
    init() {
        temperature = 32.0
    }
}

Here's a sample struct, Fahrenheit, with one member variable, temperature. The initializer init() is setting the variable's value to 32.0.