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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).

Attachment 23139

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?

Re: What is the meaning of doublestruck E symbol?

Quote:

Originally Posted by

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

Attachment 23139
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.

$\displaystyle \mathbb{ABCDEF}\cdots$

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 $\displaystyle \mathbb{E}$ listed in it).

I was kinda hoping that $\displaystyle \mathbb{E}$ would be a commonly accepted (but not often used) notation for a certain function.

Re: What is the meaning of doublestruck E symbol?

Finally, I've found the answer in another mathematical article. Apparently the $\displaystyle \mathbb{E}$ denotes an Entier function.

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.

Re: What is the meaning of doublestruck E symbol?

Quote:

Originally Posted by

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

the inverse of the "Departier" function ?

Re: What is the meaning of doublestruck E symbol?

Quote:

Originally Posted by

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

It is the integer function is some programming language.