What Does F >= g Mean in a Function Definition?

In summary, the conversation is discussing the definition of a function being greater than or equal to another function over a given interval. The question is whether this means for any value x in the interval, f(x) is greater than or equal to g(x), or if it means for any x and y in the interval, f(x) is greater than or equal to g(y). The person is seeking clarification on this issue.
  • #1
jamesb1
22
0
Here's something which always manages to throw me in doubt.

When one defines a function f to be greater than or equal to (or strictly greater) some other function g,

So f >= g / f > g over some interval [a,b] simply speaking.

Does this mean that for any value x in [a,b] : f(x) >= g(x)?

OR

f(x) >= g(y) , for any x in [a,b] and for any y in [a,b] ?

Any insight will be highly appreciated, I'd like to clear this issue once and for all.

Thank you very much!
 
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  • #2
jamesb1 said:
Does this mean that for any value x in [a,b] : f(x) >= g(x)?

This.
 
  • #3
Thanks :)
 

1. What is the F >= g function definition?

The F >= g function definition is a mathematical expression used to compare two values, F and g. It states that if F is greater than or equal to g, the expression will return a true value, otherwise it will return a false value.

2. How is the F >= g function definition written?

The F >= g function definition is written as "F >= g" using the greater than or equal to symbol (≥) in place of the greater than symbol (>). This indicates that the expression will return a true value if F is greater than or equal to g.

3. What is the purpose of the F >= g function definition?

The purpose of the F >= g function definition is to compare two values and determine if the first value (F) is greater than or equal to the second value (g). This can be useful in various mathematical and programming applications.

4. Can the F >= g function definition be used with any type of values?

Yes, the F >= g function definition can be used with any type of values, as long as they can be compared using the greater than or equal to operator. This includes numbers, strings, and other data types.

5. Are there any other similar function definitions to F >= g?

Yes, there are other similar function definitions that compare two values, such as F > g (greater than), F < g (less than), and F <= g (less than or equal to). These expressions all use different comparison operators to determine the relationship between the two values.

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