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”.

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

I also believe that such that should refer to a subject noun or pronoun. It is often stretched these days like in example 1, where it is lost upon the reader that it is the image that is such that… at least a comma after’sheared’ could help.

Still, it would be good style to avoid’such that’ without clear subject, just like’so that’ would not be appropriate without a verb.

How is such that used in mathematical reasoning? On the reference above, the meaning is rather atypical. “…for which it is true that…” While the phrase is difficult to gloss, one possible rendering for the phrase as it is used in definitions is “…in

which it is true that…” For example, we define a rational number as “any p / q such that p and q are integers and q 0,” we’ve established that if there are two integers that can be divided by one another to produce a given number, then that number is rational.

Your example is a bit different. It’s not describing a transformation., but rather describing a transformation on a mathematical object. Does the phrase “so that” signifies the intent or result of a particular action or condition?

I drank coffee because

• I could stay awake. You can see some of that below. I
• drank coffee, so I could stay awake. ” In

this sentence “These sentences are very different! Is there this sentence stating why you were drinking coffee for sleep? In the second sentence describing the coffee, not your action of drinking the coffee, the coffee drinker was able to stay awake and has something to dispense with it. The latter sentence is describing the coffee, not your action of drinking the coffee.

Where does the sentence begin by adding a comma?

• In

this case, the phrase “such that” is modifies the entire clause in a similar manner to “so that”, except it describes the result of your action of drinking the coffee rather than your reason for drinking the coffee. For some reason you drank coffee. Then you continued to do this. If you ever see the phrase “such that” used outside of mathematics, it will probably be used like this: following a clause, separated from that clause by a comma, and describing the result of whatever’s happening in that clause. Your example appears to be using the phrase in this sense, such that the sentence should probably have a comma between “such that” and “sheared”.

In particularly, this usage often connotes extent, i.e.. geographic size, or economic location. I heard you drank enough coffee for the first six (6)’s, that the preceding clause is true, and that it is true to an extent to result in anything’s going on in the following clause — you drank enough coffee to stay awake. The preceding clause is especially strong if the preceding clause uses a word or phrase that itself describes extent, as in in “I used to sneeze in bed” the following sentences are much more concrete. This connotation is especially strong if the preceding clause uses a word or phrase, where the preceding clause relates the whole in detail. ”

What should be done during the last 2 months of operation”

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

How do I describe how the x or z axis of an

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

That is a description of WHY something is 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). Because the camera has to pass through the x axis to image it will be sheared as

needed.)