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In ordinary English (also natural language) "necessary" and "sufficient" indicate relations between conditions or states of affairs, not statements. For example, being a man is a necessary condition for being a brother, but it is not sufficient—while being a man sibling is a necessary and sufficient condition for being a brother.
The definition that "nothing else is a formula", given above as Definition 3, excludes any formula from the language which is not specifically required by the other definitions in the syntax. [37] In particular, it excludes infinitely long formulas from being well-formed .
In other words, both the original and the general version of the pumping lemma give a necessary but not sufficient condition for a language to be regular. For example, consider the following language:
Necessary But Not Sufficient is a 2000 novel authored by Eliyahu Goldratt with co-authors Eli Schrangenheim and Carol A. Ptak. Necessary But Not Sufficient is written as a "business novel" and shows the fictional application of the theory of constraints to enterprise resource planning (ERP) and operations software and organizations using that software.
In software, a spell checker (or spelling checker or spell check) is a software feature that checks for misspellings in a text. Spell-checking features are often embedded in software or services, such as a word processor , email client , electronic dictionary , or search engine .
The symbol for the biconditional ("↔") signifies the relationship between the propositions is both necessary and sufficient, and is verbalized as "if and only if", or, according to the example "If P, then Q 'if and only if' if not Q, then not P". Necessary and sufficient conditions can be explained by analogy in terms of the concepts and the ...
Although A did not promise to affirmatively do anything, A did promise not to do something that he was allowed to do, and so A did pass consideration. A's consideration to B is the forbearance in painting his own house in a colour other than white, and B's consideration to A is $500 per year.
For instance, enough money for a taxi implies that a minimum amount of money is necessary to pay for a taxi and that the amount of money in question is sufficient for the purpose. When functioning as determinatives in a noun phrase, sufficiency determiners select plural count nouns (e.g., sufficient reasons) or non-count nouns (e.g., enough money).