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The phrase "hypothesis in the" is grammatically correct and can be used in written English.
It is often used when discussing a hypothesis or theory within a particular context or subject. Example: "Scientists have proposed a hypothesis in the field of quantum physics to explain the behavior of subatomic particles."
Exact(60)
Or so goes the hypothesis in the immensely interesting and even affecting book "The Hidden Sense: Synesthesia in Art and Science," by Cretien van Campen.
We tested this hypothesis in the UK.
We test this hypothesis in the case of Pakistan.
Planetary scientists proposed the collision hypothesis in the 1970s.
We give an example that shows that the hypothesis in the injectivity radius is necessary.
In this paper we examine the mismatch hypothesis in the context of college graduation rates.
We assume, as a standing hypothesis in the article, that the Markov chain is irreducible.
Current results are compatible with the non-oscillation hypothesis in the three flavour mixing model.
We tested this hypothesis in the context of a slow motor learning paradigm.
Corollary 1 Suppose that the hypothesis in the statement of Theorem 3 holds.
We test this hypothesis in the general framework of rationality and behaviour under risk.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com