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The phrase "according to the initial hypothesis" is correct and usable in written English.
You can use it when referencing a hypothesis that was proposed at the beginning of a study or discussion.
Example: "According to the initial hypothesis, we expected to see a significant correlation between the two variables."
Alternatives: "based on the initial hypothesis" or "in line with the initial hypothesis".
Exact(2)
Two persons sleeping in Bedroom 2 is expected according to the initial hypothesis.
According to the initial hypothesis, amyloid fibrils, which are large insoluble polymers of Aβ found in senile plaques, are the major trigger of neuron loss and dementia that are typical for AD.
Similar(58)
According to the initial γ-glutamyl cycle hypothesis, a series of catalytic events involves the synthesis and degradation of GSH, and the coupled uptake and release of free amino acids.
An outbreak of homicidal violence, according to the initial reports.
according to the initial condition.
In our approach, reference groups were chosen according to these initial hypothesis and the mean values of other groups compared to that of the reference groups.
The water balance is expressed as: P = I_{text{a}} + F + Q (1)The first hypothesis states that the ratio of direct runoff to potential maximum runoff is equal to the ratio of infiltration to potential maximum retention and, according to the second hypothesis; the initial abstraction is some fraction of the potential maximum retention.
According to the prevailing hypothesis, disruption of this tightly controlled balance is one of the initial steps in osteoarthritis (OA) development [ 7– 9].
According to the motivational hypothesis of making the decision to leave the patch, an animal enters a patch with an initial motivation that decreases monotonically as long as no rewarding item is found.
According to the Medea hypothesis, it does.
According to the RIPI hypothesis, inhibitory modules within the IFC work to downregulate routine behaviours17,21.
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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