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The phrase "a certain hypothesis for" is correct and usable in written English.
It can be used when introducing a specific hypothesis related to a particular topic or research question.
Example: "In this study, we propose a certain hypothesis for the relationship between diet and mental health."
Alternatives: "a specific hypothesis regarding" or "a particular hypothesis about".
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It is impossible, for instance, on a certain hypothesis that the triangle should have its angles equal to two right angles, and on another the diagonal is commensurable.
For example, what makes a piece of information evidence for a certain hypothesis rather than another?
Imagine it: you have sunk many long hours into your experiment, growing, manipulating and testing cells in various ways, all with a certain hypothesis – a hunch – in mind.
The questionnaires were fairly extensive, studying multiple hypotheses, which reduced the possibility of interviewers' focusing on a certain hypothesis.
We have made a selection of important topics and formulated certain hypotheses that we believe to be relevant for new research.
This complete monotonicity may provide a method to disprove a certain Riemann hypothesis via numerical methods.
This may provide a method to disprove a certain Riemann hypothesis numerically.
"We can make certain hypotheses … there's a strong possibility of an explosion on board from a bomb or a suicide bomber.
In addition, if numerous questionnaire items are relevant to certain hypotheses, a short version for the primary sample and a long version for the subsample participating in more detailed monitoring may be appropriate.
They said the new capital was necessary because "a certain number of hypotheses underlying the plan" for the bank's orderly resolution had been revised.
Also, we use in our models the classical "trajectory characteristic" parameter (defined as the integral over time of the squared thrust acceleration) which represents – under certain hypotheses – the propulsion requirements for an orbital or interplanetary transfer with a given time and a given thrust strategy.
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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