如何使用PHP不同类型的比较表？

I do not understand how to use this comparison table:

For example, I have

"1hello">"bye"

. What the algorythm do I have to use to compare them using this table?

The line just above the screenshot in your question says

For various types, comparison is done according to the following table (in order).

So the first comparison is used (i.e. lexical comparison).

For the sake of completeness, "1hello" is considered less than "bye", since the ordinal value of 1 (49) is less than that of b (98).