The phrase "remove the assumption" is correct and usable in written English.
You could use it when talking about needing to take away a general assumption about something or someone in order to reach a conclusion or resolution. For example, "In order to make a fair decision, we needed to remove the assumption that the defendant was guilty."
Is the above Theorem 2.3 still valid if we remove the assumption that is continuous and is compact?
When g ( t, x ) = g ( x ), we can remove the assumption (H2) in Theorem 3.1, Theorem 3.2 and obtain the following results.
The aim of this paper is to revise the results of the papers [2, 6, 7] and remove the assumption T with bounded range [8].
Furthermore, we remove the assumption of normality of cone in all our results and extend to a metrizable linear topological space.
Step 2. The remainder of our proof for Theorem 2.5 is to remove the assumption (vert Duvert ^{p(x)}in L^{(gamma, q)}(Omega)) via an approximation procedure.
In this case, if we assume that is a reflexive Banach space and is demiclosed at zero, then we can remove the assumption on the (FPP) for the space.
We can use a measure of noncompactness to remove the assumptions for the compactness of the operator and Lipschitz continuity of the nonlinear item.
Firstly, it removes the assumption that women are primarily caregivers, and secondly, it provides men, who are also going to experience deteriorating employment opportunities, with an alternative means of finding identity and self-worth outside work.
The approach removes the assumption of linear functions outside the deadband as an added contribution.
Theorem A was improved 60 years later by Osserman [18] by removing the assumption (f(0)=0).
This is made possible by removing the assumption of positive electric permittivities and magnetic permeabilities, an hypothesis which usually applies to conventional materials.
