MyWikiBiz, Author Your Legacy — Monday October 27, 2025
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, 16:34, 19 August 2012
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| | <p><math>\underline{X}^{\to} = (\underline{X} \to \mathbb{B}) = \{ f : \underline{X} \to \mathbb{B} \}.\!</math></p></li> | | <p><math>\underline{X}^{\to} = (\underline{X} \to \mathbb{B}) = \{ f : \underline{X} \to \mathbb{B} \}.\!</math></p></li> |
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| | + | <li> |
| | + | <p>The set of linear functions <math>f : \underline{X} \to \mathbb{B}\!</math> has a cardinality of <math>2^n\!</math> and is known as the ''dual space'' <math>\underline{X}^{*}\!</math> in vector space contexts. In formal language contexts, in order to avoid conflicts with the use of the ''kleene star'' operator, it needs to be given an alternate notation:</p> |
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| | + | <p><math>\underline{X}^{+\!\to} = (\underline{X} +\!\!\to \mathbb{B}) = \{ f : \underline{X} +\!\!\to \mathbb{B} \}.\!</math></p></li> |
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| | </ol></ol> | | </ol></ol> |
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| | <pre> | | <pre> |
| − | b. The set of linear functions f : X >B has a cardinality of 2n and is known as the "dual space" X* in vector space contexts. In formal language contexts, in order to avoid conflicts with the use of the "Kleene star" operator, it needs to be given an alternate notation:
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| − | X+> = (X +> B) = {f : X +> B}.
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| | c. The set of singular functions f : X >B has a cardinality of 2n and is notated as follows: | | c. The set of singular functions f : X >B has a cardinality of 2n and is notated as follows: |