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