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In mathematics, a well-defined expression or unambiguous expression is an expression whose definition assigns it a unique interpretation or value. Otherwise, the expression is said to be not well defined, ill defined or ambiguous. [1]
On the other hand, Division is non-associative, and in the case of / /, parenthesization conventions are not well established; therefore, this expression is often considered ill-defined. Unlike with functions, notational ambiguities can be overcome by means of additional definitions (e.g., rules of precedence , associativity of the operator).
The formulas are inductively defined as follows: Each propositional variable is, on its own, a formula. If φ is a formula, then ¬φ is a formula. If φ and ψ are formulas, and • is any binary connective, then ( φ • ψ) is a formula. Here • could be (but is not limited to) the usual operators ∨, ∧, →, or ↔.
A computation is any type of arithmetic or non-arithmetic calculation that is well-defined. [1] [2] Common examples of computation are mathematical equation solving and the execution of computer algorithms. Mechanical or electronic devices (or, historically, people) that perform computations are known as computers.
Well-Ordered: The exact order of operations performed in an algorithm should be concretely defined. Feasibility: All steps of an algorithm should be possible (also known as effectively computable ). Input: an algorithm should be able to accept a well-defined set of inputs.
Sometimes native speakers of a language do not agree whether a particular word, phrase, or clause is well-formed. This problem of gradient well-formedness, uncertainty about the well-formedness of a particular example, is a problem for generative linguistics , which assumes that grammar follows some universal patterns that should not vary among ...
In the life of your child, you easily exchange thousands of words every day, or at the very least every week. And while many of these conversations may seem normal and even fairly inconsequential ...
The action (the integration ) of this distribution on a test function can be interpreted as a weighted average of the distribution on the support of the test function, even if the values of the distribution at a single point are not well-defined.