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The phrase "a point based on" is correct and usable in written English.
It can be used when you want to indicate that a particular point or argument is derived from or supported by specific information or evidence.
Example: "The conclusion of the report is a point based on extensive research and analysis of the data collected."
Alternatives: "a point derived from" or "a point grounded in".
Exact(5)
"If we had got a point, based on our injury situation, I would have been very happy".
Learning how to articulate a point based on a myriad of facts is a vital skill that will assist professionals in any job.
"Might Mr. Obama have gained half a point, or a point, based on whatever residual factors that voters are thinking about?
They have a point; based on what we've seen from Karl's report, the process that went into creating and then changing the talking points seems to have been driven in large measure by two parts of the government — C.I.A. and State — trying to make sure the blame for the attacks and the failure to protect American personnel in Benghazi fell on the other guy.
Once the Sack is kicked 3 times(or however many times you want, 2-hit is also popular), it is fair game to kick the sack at another player or "peg" him, giving either him, or you, a point(based on your scoring system).
Similar(55)
However, the significance of this relationship relies on a single data point based on one group of baboons [5].
We have strategically chosen a non-acupoint as a reference point based on two principles.
Interpolation is an estimation of Z values of a surface at an unstapled point based on the known Z values of surrounding points.
A second contribution is a simple off-line heuristic algorithm to compute a feasible point based on the dual solution.
Recently, a member of the University of Zambia law faculty argued a legal point based on the country's new Companies Act before a judge who was unaware that it had been passed.
Optionally, we also allow a mean-shift type adjustment of the 3D location of a control point, based on the optimal radius detected.
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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