What does "there is no" mean in this sentence from my notes? [closed]

I read in my book,

I ran into a challenge with the combination of words "there is no". Does it mean "no any line", or just one line? Is it possible to make it simpler for me?

Solution 1:

Here, "is", the be-verb, denotes the existence of something as opposed to its state, as in,

Five students are here in the class.

Let us consider the relevant part of the original sentence,

there is no good linear vertical separator of the training data.

In simpler terms (without adjectives), it is,

there is no separator of the data.

At its core, the clause is a negative one that conveys that a separator of the data does not exist. You could also say, "No separator is there of the training data." Therefore, "there is no", in this context, means "there exists no".