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The phrase "avoid any assumption" is correct and usable in written English.
It can be used when advising someone to refrain from making conclusions or beliefs without sufficient evidence or information.
Example: "In our discussion, it's important to avoid any assumption about the other party's intentions."
Alternatives: "refrain from making assumptions" or "steer clear of assumptions".
Exact(3)
The resulting equations satisfy the Gibbs Duhem restriction and are fully consistent with the multicomponent Flory–Huggins theory in the sense that we avoid any assumption regarding the size of the penetrants or of the polymer segments.
Categorical variables were transformed into dummy variables to avoid any assumption concerning the estimation of the relative risks between subgroups.
We used such fitting in order to avoid any assumption about the form of the fitted function.
Similar(57)
It can avoid any assumptions on statistical models by utilizing fuzzy rules to determine the magnitudes of α and β.
In this article we will refer to the gene names given in this annotation, but avoid any assumptions about the completeness of the annotation.
Most analyses used categorical exposure variables (deciles, lowest decile as reference), to avoid any assumptions about the shape of a parametric model, taking advantage of the large sample size that permitted adequately precise estimates across multiple categories.
The statistical properties of the k-NN estimators are investigated in a design-based framework, avoiding any assumption about the population under study.
The term nonvertical is preferred because it avoids any assumption of gene origin, whereas horizontal gene transfer is often used to designate DNA exchange between species.
Next, we use an alternative approach to determine tsunami initial conditions that avoids any assumptions regarding the initial velocity profile.
The concept intentionally avoids any assumptions about specific spectral features, such as looking for specific gamma peaks of specific isotopes, thereby facilitating a fully unclassified discussion.
This allows avoiding any assumptions about the shape of sampling distribution of population.
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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