Differentials calculus in E

Here's a situation that's similar to my real question:

Let's say I'm recording the temperatures of all major cities in the world once per day. So, each document has the following fields:

timestamp
city_name
temp

The type of query that I'm interested in is of the following form:

Get all cities C and timestamps T such that the temperature jumped more than a certain amount compared to the week before.

More precisely:
temp(C, T) > temp(C, T-one week)*lambda

My understanding is that Elastic looks only within the documents but I don't mind being wrong if there's a built-in method for handling such queries. Obviously, my goal is to avoid writing a big wrapper around Elastic when I create my API.

Thank you!

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