"with some assumptions" is correct and usable in written English.
It is typically used to indicate that the statement or information that follows is based on certain assumptions or hypotheses. Example: "With some assumptions, we can estimate the potential impact of this policy change on the economy."
Analysts acknowledge that they are more comfortable with some assumptions than others with respect to values and their uncertainty.
In the second part of this work, the realistic minimum energy consumption is assessed with some assumptions about compressor and pump efficiency, temperature pinch and overall process conditions.
Unlike the actual body structure, the ankle and knee joint of the lower-limb part are generally modeled as pure revolute joints of two or three degrees of freedom with some assumptions.
In order to understand the response of the Primary Coolant System (PCS) to various transients and train the operators a dynamic model using basic energy and momentum equations was developed with some assumptions.
"We would expect our students to be able to question why they are thinking in the way they are," says Hickman. "They may come in with some assumptions that are based on prior experience but we encourage them to challenge that and question it".
"We would expect our students to be able to question why they are thinking in the way they are," says Hickman. "They may come in with some assumptions that are based on prior experience but we encourage them to challenge that and question it". So why is personal experience such a prominent factor?
"Each company is moving forward with some assumption of risk but a presumption of the U.S. government coming through with frameworks that allow that to happen," Dr. Richards said in October during a visit at his company's Florida headquarters.
In a parallel and equivalent manner with some assumption about space-time manifold, we can obtain aforementioned result but with very less calculation.
By constructing upper and lower boundaries and using Leray-Schauder degree theory, we present a result about the existence and uniqueness of a periodic solution for second-order ordinary differential equations with some assumption.
Due to some cells with small numbers, some assumptions of a chi2 test are complied with.
To deal with this problem, some assumptions about the undetected image features have to be introduced, either implicitly or explicitly.
