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notation for median of function executed for a number of different values.
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Problem
What is the clearest mathematical notation for the following situation:
If I have a function $f(x)$ that is executed for an arbitrary range and step e.g. from $x = 0$ to $x = 10$ with step 2. How do I express the median of all computed values?
What I already have
I had the idea to split the problem into two parts. The first part is representing a set of computed values of $f(x)$ according to the defined limits and step size as $F$. Whereas the second part is simply defining the median as $M$ so that $M(F)$ is the solution to my problem.
But I am unable to write the first step. How should I proceed?
notation
asked Jul 26 at 19:32
dll
1157
add a comment |Â
up vote
0
down vote
favorite
Problem
What is the clearest mathematical notation for the following situation:
If I have a function $f(x)$ that is executed for an arbitrary range and step e.g. from $x = 0$ to $x = 10$ with step 2. How do I express the median of all computed values?
What I already have
I had the idea to split the problem into two parts. The first part is representing a set of computed values of $f(x)$ according to the defined limits and step size as $F$. Whereas the second part is simply defining the median as $M$ so that $M(F)$ is the solution to my problem.
But I am unable to write the first step. How should I proceed?
notation
asked Jul 26 at 19:32
dll
1157
What do you mean from your example? That we are only considering $f(0),f(2),f(4),f(6),f(8),f(10)$?
– gd1035
Jul 26 at 19:46
Yes, in that example we are only considering $f(0), f(2), f(4), f(6), f(8), f(10)$
– dll
Jul 26 at 19:48
Could you let $F$ denote the set of values for $f(x)$ with the given step size, in sorted order? Then you can just take the middle value, or the average of the two middle values.
– gd1035
Jul 26 at 19:54
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Problem
What is the clearest mathematical notation for the following situation:
If I have a function $f(x)$ that is executed for an arbitrary range and step e.g. from $x = 0$ to $x = 10$ with step 2. How do I express the median of all computed values?
What I already have
I had the idea to split the problem into two parts. The first part is representing a set of computed values of $f(x)$ according to the defined limits and step size as $F$. Whereas the second part is simply defining the median as $M$ so that $M(F)$ is the solution to my problem.
But I am unable to write the first step. How should I proceed?
notation
asked Jul 26 at 19:32
dll
1157
Problem
What is the clearest mathematical notation for the following situation:
If I have a function $f(x)$ that is executed for an arbitrary range and step e.g. from $x = 0$ to $x = 10$ with step 2. How do I express the median of all computed values?
What I already have
I had the idea to split the problem into two parts. The first part is representing a set of computed values of $f(x)$ according to the defined limits and step size as $F$. Whereas the second part is simply defining the median as $M$ so that $M(F)$ is the solution to my problem.
But I am unable to write the first step. How should I proceed?
notation
asked Jul 26 at 19:32
dll
1157
asked Jul 26 at 19:32
dll
1157
asked Jul 26 at 19:32
dll
1157
asked Jul 26 at 19:32
dll
1157
1157
What do you mean from your example? That we are only considering $f(0),f(2),f(4),f(6),f(8),f(10)$?
– gd1035
Jul 26 at 19:46
Yes, in that example we are only considering $f(0), f(2), f(4), f(6), f(8), f(10)$
– dll
Jul 26 at 19:48
Could you let $F$ denote the set of values for $f(x)$ with the given step size, in sorted order? Then you can just take the middle value, or the average of the two middle values.
– gd1035
Jul 26 at 19:54
add a comment |Â
What do you mean from your example? That we are only considering $f(0),f(2),f(4),f(6),f(8),f(10)$?
– gd1035
Jul 26 at 19:46
Yes, in that example we are only considering $f(0), f(2), f(4), f(6), f(8), f(10)$
– dll
Jul 26 at 19:48
Could you let $F$ denote the set of values for $f(x)$ with the given step size, in sorted order? Then you can just take the middle value, or the average of the two middle values.
– gd1035
Jul 26 at 19:54
What do you mean from your example? That we are only considering $f(0),f(2),f(4),f(6),f(8),f(10)$?
– gd1035
Jul 26 at 19:46
What do you mean from your example? That we are only considering $f(0),f(2),f(4),f(6),f(8),f(10)$?
– gd1035
Jul 26 at 19:46
Yes, in that example we are only considering $f(0), f(2), f(4), f(6), f(8), f(10)$
– dll
Jul 26 at 19:48
Yes, in that example we are only considering $f(0), f(2), f(4), f(6), f(8), f(10)$
– dll
Jul 26 at 19:48
Could you let $F$ denote the set of values for $f(x)$ with the given step size, in sorted order? Then you can just take the middle value, or the average of the two middle values.
– gd1035
Jul 26 at 19:54
Could you let $F$ denote the set of values for $f(x)$ with the given step size, in sorted order? Then you can just take the middle value, or the average of the two middle values.
– gd1035
Jul 26 at 19:54
add a comment |Â
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What do you mean from your example? That we are only considering $f(0),f(2),f(4),f(6),f(8),f(10)$?
– gd1035
Jul 26 at 19:46
Yes, in that example we are only considering $f(0), f(2), f(4), f(6), f(8), f(10)$
– dll
Jul 26 at 19:48
Could you let $F$ denote the set of values for $f(x)$ with the given step size, in sorted order? Then you can just take the middle value, or the average of the two middle values.
– gd1035
Jul 26 at 19:54