Results 1 to 4 of 4

Math Help - Maths language

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    21

    Maths language

    I have problem with some mathematics language. Can some one interpret for me?

    1) a function f_x : R \rightarrow [0,\infty] . Is this means ' function fx consists of variable which is real numbers and the outcome of function fx is from 0 to infinity'?
    2) a function f_x : (-c,c) \mapsto R
    2)  P(X \in R \setminus \{x_1,x_2\})
    3) Random variable  T_1 = inf\{i \leq 0: \epsilon_{i+1}=1\}
    4) A probability measure on a sample space \Omega is a function A \mapsto P(A) of event A \subseteq \Omega
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,449
    Thanks
    1864

    Re: Maths language

    Quote Originally Posted by avisccs View Post
    I have problem with some mathematics language. Can some one interpret for me?

    1) a function f_x : R \rightarrow [0,\infty] . Is this means ' function fx consists of variable which is real numbers and the outcome of function fx is from 0 to infinity'?
    Yes, though I would use the phrase "consists of". [latex]f_x maps the set f all real number to the set of non-negative real numbers.

    2) a function f_x : (-c,c) \mapsto R
    function f_x maps the open interval (-c, c) (all real numbers strictly larger than -c and strictly larger than c) to the set of all real numbers.

    2)  P(X \in R \setminus \{x_1,x_2\})
    Assuming that "P" here is probability, not "power set", This is the probability that the variable X is any real number other than x_1 or x_2.

    3) Random variable  T_1 = inf\{i \leq 0: \epsilon_{i+1}=1\}
    This requires that " \epsilon_n" be a set of numbers, some of which may be equal to 1. T_1 is the smallest is, less than or equal to 0, such that the \epsilon with subscript i+ 1 is equal to 1.

    4) A probability measure on a sample space \Omega is a function A \mapsto P(A) of event A \subseteq \Omega
    A\subseteq \Omega says that A is a subset of \Omega so this says that a probability measure is a function that assigns a value, P(A), to every subset A of \Omega. (Normally a probability is a number between 0 and 1 but that is not stated in your (4) so I just used the word "value".)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    21

    Re: Maths language

    Thank you for your reply.
    I have some further questions about them.
    a) what's the difference between the arrow in (1) and (2)?
    b) Is 'map to' means 'the outcome is'?
    c) I still don't understand (3). Please explain in plain English. Yes \epsilon is binary (0 or 1). Does inf mean the smallest of the set?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Feb 2013
    From
    UK
    Posts
    21

    Re: Maths language

    Any one can help with this?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Creating a PSG for a language
    Posted in the Discrete Math Forum
    Replies: 11
    Last Post: June 3rd 2011, 08:02 PM
  2. Language and proofs
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: July 8th 2009, 01:05 PM
  3. Language C ---matrix----
    Posted in the Math Software Forum
    Replies: 1
    Last Post: July 2nd 2008, 02:07 PM
  4. LaTeX and language
    Posted in the LaTeX Help Forum
    Replies: 2
    Last Post: October 18th 2007, 08:14 AM

Search Tags


/mathhelpforum @mathhelpforum