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How can I write the "Real number symbol" in Mathematica?

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You can do it with escdsResc You could also replace R with any letters from a-z, both uppercase and lowercase, to get the double-struck version of the letter.

Another way is writing \[DoubleStruckCapitalR] or whatever character you want to be double-struck.

Reference: http://reference.wolfram.com/mathematica/guide/NotationalAlphabetCharacters.html#647579870

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