ValueWithout

Valuewithout is a descriptive term used in programming and data processing to describe the operation of producing a new collection by removing all elements that have a specific value from an input collection. In essence, valuewithout(C, v) yields the elements of C except those that are equal to v.

Formally, valuewithout(C, v) = { x in C | x != v }. In many languages this operation is implemented as a filter or as a remove/reject step. The concept is widely applicable across data cleaning, preprocessing, and transformation tasks, regardless of the exact syntax.

Examples help illustrate the idea. valuewithout([1, 2, 3, 2, 4], 2) yields [1, 3, 4]. In Python, this can be expressed as [x for x in lst if x != v]. In SQL, an equivalent operation is selecting rows where a column <> v, effectively removing rows with the specified value.

Notes and variants. The exact behavior depends on equality semantics: whether x == v uses value equality or identity. Performance is typically linear in the size of the input, with additional space needed for the resulting collection; streaming implementations can reduce peak memory usage. The term is not a formal standard across languages and may be described using different terms such as filter, remove, or reject.

Related concepts include filter, remove, compact, and select with a negated predicate. The phrase valuewithout may appear in documentation, data cleaning scripts, or domain-specific languages where concise naming of the operation is useful.