"At most as many" — what does it mean? [closed]
I've been given the following question as a homework:
If h is consistent, then A* - CSCS will expand at most as many nodes as A* graph search.
English not being my native language, I'm kind of struggling to understand the true meaning of the text in bold in the context of this sentence.
From what I understand, A* - CSCS will always expand fewer or the same amount of nodes then A* graph search. That is, the number of nodes that A* graph search expands will always be larger or equal to the number of nodes that A* - CSCS expands.
Is this correct?
Sorry for bringing out the question involving mathematics. What I need is a linguistic explanation of the sentence, not help in mathematics.
Solution 1:
You are correct.
Read it this way:
If h is consistent, then at most A* - CSCS will expand as many nodes as A* graph search.
Or, more naturally:
If h is consistent, then A* - CSCS will not expand any more nodes than A* graph search.
Solution 2:
Yes, your understanding is correct. At most as many as can usually be replaced by no more than; I don't know why the author chose this unusual form of words.