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Math Help - What is the meaning of doublestruck E symbol?

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    What is the meaning of doublestruck E symbol?

    In mathematical literature I came across an equation where a doublestruck E symbol is used (last equation in the picture below).

    What is the meaning of doublestruck E symbol?-doublestruck_e.jpg

    I don't have the faintest clue what the doublestruck E means. I'm guessing it denotes some kind of function? I've checked the entire document and it offers no explanation what so ever.

    Does any of you have any idea what the doublestruck E means?
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    Re: What is the meaning of doublestruck E symbol?

    Quote Originally Posted by corsica View Post
    In mathematical literature I came across an equation where a doublestruck E symbol is used (last equation in the picture below).
    Click image for larger version. 

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    I don't have the faintest clue what the doublestruck E means. I'm guessing it denotes some kind of function? I've checked the entire document and it offers no explanation what so ever.
    Does any of you have any idea what the doublestruck E means?
    I don't know what it means there either.
    But in that is just a type-face called Bold-Blackboard.
    \mathbb{ABCDEF}\cdots
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    Re: What is the meaning of doublestruck E symbol?

    Thanks for the reply Plato. Yeah, the way it's typed it could even be just a variable (although I doubt this, the document does have a pretty extensive nomenclature and there is no \mathbb{E} listed in it).

    I was kinda hoping that \mathbb{E} would be a commonly accepted (but not often used) notation for a certain function.
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    Re: What is the meaning of doublestruck E symbol?

    Finally, I've found the answer in another mathematical article. Apparently the \mathbb{E} denotes an Entier function.
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    Re: What is the meaning of doublestruck E symbol?

    Okay, don't leave us guessing- what is the "Entier" function?

    Well, it turns out I can use "google"! "Entier" is the French word for "integer" and the "Entier function" of x is the "integer part" of x- the same as the "floor" function which returns the largest integer less than or equal to x.
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    Re: What is the meaning of doublestruck E symbol?

    Quote Originally Posted by HallsofIvy View Post
    Okay, don't leave us guessing- what is the "Entier" function?
    the inverse of the "Departier" function ?
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    Re: What is the meaning of doublestruck E symbol?

    Quote Originally Posted by HallsofIvy View Post
    Okay, don't leave us guessing- what is the "Entier" function?
    It is the integer function is some programming language.
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