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”.

I would use prompt or induce, (in the case where the incitation succeeded).

I would use prompt or induce, (in the case where the incitation succeeded).

I would use prompt or induce, (in the case where the incitation succeeded).

Maybe is adverb, meaning perhaps or possibly.

is a verbal construction, formed of the verb be and the verb may, which can be used in sentences like “he may be in the office today” If you were to rewrite this sentence with maybe? you would say “maybe he is in the office today” Why maybe is an adverb, you need to add a verb to the sentence ( is, a form of be, in that case)?

According to the meaning of filter “a transparent fluid passes through a medium to remove unwanted material and / or sound” the material must appear in a system using a filter. As an aside, filtrate and filter are absolutely synonymous.

In specific uses, such as “people filtered out of the room” or “news began to filter in from the hospital”, it sounds rather weird to use filtrate.

By contrast, the name of a filter is a filter. The filtered or filtrated liquid is a filter. In software as a side node, filterate is the name of a filter.

One question…and she didn’t know what to answer, but I should know what to answer. I’m not a native speaker at all, but “filtrated” doesn’t sound to weird to

me 🙂

Or, just use demonstratable. Don’t use demonstratable.

The Corpus of Contemporary American English has 249 hits for demonstrable and the rest for non demonstrable. Google ngram shows a similar result:

“Certified” XL (Google ngram alias).