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The phrase "a well defined hypothesis" is correct and usable in written English.
It can be used when discussing scientific research, experiments, or any context where a clear and specific hypothesis is necessary.
Example: "In order to conduct a successful experiment, it is essential to formulate a well defined hypothesis that can be tested."
Alternatives: "a clearly articulated hypothesis" or "a precisely formulated hypothesis".
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The alternative hypothesis for branchXsites tests of Yang, Nielson and colleagues (implemented in codeml) have fewer parameters than the unconstrained switching model implemented in fitmodel, and thus this approach may have more statistical power when one has well defined hypothesis for the branch on which switching is expected to have occurred.
Ideally the same kind of rigor as used for the primary analysis should be applied, that is, a priori planned analyses, including well defined hypotheses and endpoints.
Candidate genes investigated in association studies should preferably have already been identified in linkage analyses, or should be part of a well defined prior hypothesis.
Is there a well defined question?
That's a problem, because without a well-defined hypothesis it's hard to do any meaningful research - especially if, like Greenfield (a professor of synaptic pharmacology), the subject isn't really in your field.
For example, a first step toward utilizing omics technologies is the development of a well-defined hypothesis which clearly outlines the research question under investigation.
In spite of their effectiveness in guided or well-informed analysis, query-based systems fall short for exploratory analysis where the user may not have a well-defined hypothesis and simply wants to explore and learn the data.
Therefore, Algorithm A is well defined.
Notice that the operators A and B are well defined due to our hypotheses.
First we show A is well defined.
Unfortunately the proof in [1], pp. 24 25, involves an erroneous management of hitting times in combination with a truncation technique, and the limit system may not be well defined under the too general hypothesis used by the authors.
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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