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The phrase "a hypothesis to extend" is correct and usable in written English.
It can be used when discussing a hypothesis that you intend to develop further or elaborate on in your research or writing.
Example: "In this study, we propose a hypothesis to extend our understanding of the relationship between diet and mental health."
Alternatives: "a hypothesis to develop" or "a hypothesis to elaborate on".
Exact(1)
Furthermore, they suggest a hypothesis to extend downrange.
Similar(59)
In this model the geometry of the rotor is considered as a one-dimensional analysis, in which a hypothesis is made to extend the Glauert's correction to avoid the high values of the axial induction factor.
The Simultaneous Ignition hypothesis proposes to extend this notion to object naming.
For this reason, an attempt was made by Murata and Iwase [ 50] to examine this hypothesis and to extend the original Fitts' law to three-dimensional pointing tasks.
The models were developed on a combination of working hypotheses, designed to extend their predictive ability to multiple phenological events, i.e. budburst, flowering and veraison.
Work is underway to test these different hypotheses and to extend these initial analyses.
Coherence occurs when we are able to extend our hypothesis to colligate a new class of phenomena without ad hoc modification of the hypothesis.
To test this hypothesis, it would be necessary to extend our investigation to include a greater diversity of populations and cancer types, and more importantly complementary functional assays.
To test this hypothesis, the effectiveness of telomerase expression to extend cellular lifespan was assessed in a model of human vascular tissue engineering.
She went on to extend her symbiogenetic hypothesis to embrace other cellular organelles, such as the flagellae that many bacteria employ to swim, though here she has not yet carried the mainstream with her.
We aim to extend this bidirectional interaction hypothesis to the realm of brain markers of actual actions and language processing.
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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