1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: What does such notation mean?

  1. Jun 3, 2012 #1
    1. The problem statement, all variables and given/known data
    What does this notation mean? I understand the $$\{x_t\}_{t = 0}^{\infty}$$ part, but I don't know what exactly $$U(x_0, x_1, ... x_n)$$ means. Does it mean that this function is a n+1 dimensional function, the same way f(x, y) is a 3 dimensional function?

    2. Relevant equations
    $$U(\{x_t\}_{t = 0}^{\infty}) = U(x_0, x_1, x_2, ... x_n)$$

    3. The attempt at a solution
    Tried Googling without any luck.
  2. jcsd
  3. Jun 3, 2012 #2

    I like Serena

    User Avatar
    Homework Helper

    Hi Cinitiator! :smile:

    That's it!

    Slightly sharper: f(x,y) is a function of 2 dimensions.
    And if f(x,y) yields a real number as its value, it defines a graph in 3 dimensions.

    ##U(x_0, x_1, ... x_n)## is a function of (n+1) dimensions (don't forget to count 0).
    It will define a graph in (n+2) dimensions.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook