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For a trivial hash function lookup, the unsigned raw data value is used directly as an index to a one-dimensional table to extract a result. For small ranges, this can be amongst the fastest lookup, even exceeding binary search speed with zero branches and executing in constant time .
Likewise, instead of using a named range of cells, a range reference can be used. Reference to a range of cells is typical of the form (A1:A6), which specifies all the cells in the range A1 through to A6. A formula such as "=SUM(A1:A6)" would add all the cells specified and put the result in the cell containing the formula itself.
They provide an elegant way of handling errors, without resorting to exception handling; when a function that may fail returns a result type, the programmer is forced to consider success or failure paths, before getting access to the expected result; this eliminates the possibility of an erroneous programmer assumption.
A formula is logically valid (or simply valid) if it is true in every interpretation. [22] These formulas play a role similar to tautologies in propositional logic. A formula φ is a logical consequence of a formula ψ if every interpretation that makes ψ true also makes φ true. In this case one says that φ is logically implied by ψ.
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics , science , and engineering for representing complex concepts and properties in a concise ...
A result (also called upshot) is the outcome or consequence of a sequence of actions or events. [1] Possible results include gain , injury , value , and victory . Some types of results include the outcome of an action , the final value of a calculation , and the outcome of a vote .
The spine of federal data has always been the decennial census, the latest edition of which is being conducted this year. The kind of cross-section the census provides to officials at every level is impossible to beat, said Joe Salvo, the director of the population division in New York City’s Department of City Planning: “We may complain about the census, its warts and so on.
The nested function technology allows a programmer to write source code that includes beneficial attributes such as information hiding, encapsulation and decomposition.The programmer can divide a task into subtasks which are only meaningful within the context of the task such that the subtask functions are hidden from callers that are not designed to use them.