Difference between «so that» and «such that»

Question

Are these the same?

The image will be sheared such that the x-axis goes through (1,1).

The image will be sheared so that the x-axis goes through (1,1).

I think I have usually seen the former, I didn't even know that «so that» is allowed in English until I once saw it in a text from a (as I assume) native English speaker.

Simon

Answer 1

The sentences, while very similar, do have a subtle difference of meaning.

"Such that" is a description of HOW something is to be done:

The image will be sheared such that the x-axis goes through (1,1). -> The image will be sheared in such a way that the x-axis goes through (1,1).

"So that" is a description of WHY something is to be done:

The image will be sheared so that the x-axis goes through (1,1) -> The image will be sheared in order for the x-axis to go through (1,1). (Or, more obviously: Because the x-axis needs to pass through (1,1), the image will be sheared appropriately.)

Answer 2

I would say “ The image will be sheared such that the x-axis goes through (1,1)” but, as indicated by Hellion, would keep the other construct to express some higher-level aim: “ The image will be sheared so that it is clearer”.

Answer 3

This distinction criterion is very simple and always works: 'such that' expresses consequence, 'so that' purpose.