The phrase "again on the basis" is correct and usable in written English.
It can be used when referring to a repeated action or decision that is founded on a specific principle or reasoning.
Example: "We will proceed again on the basis of the previous agreement reached last year."
Alternatives: "once more based on" or "relying again on".
It would mean that the West would follow the East, and that the bond could only find its unity again on the basis of a new democracy.
The F.A. will try him again on the basis that such language should not be used anyway on the field of play.
After rigorous further work by Geoffrey Robertson, junior counsel to the defence, the case was won on appeal, again on the basis that the judge had misdirected the jury.
With hindsight I was wrong to regret Macpherson's proposal to overturn the ancient "double jeopardy" rule to allow an acquitted accused (the private Lawrence prosecution had failed) to be charged and tried again on the basis of fresh evidence.
The distribution is then calculated again on the basis of that improved description, and the process is continued until there is negligible change i.e., until the electron distribution has achieved self-consistency.
It added: "Moreover, again on the basis of the facts found by the trial judge, the court is unable to identify a moment when the measure changed from what was, at most, a restriction on freedom of movement to a deprivation of liberty".
Again, Alice on the basis of her measurement outcome can still assign an $S_{bz}$ value to Bob's particle before measurement, and use it as a pre-probability to calculate a probability for Bob's measurement outcome.
The tentative assignment of the absolute configuration of the amino acid products was again made on the basis of analogy.
Analyses for each of these secondary outcomes were again stratified on the basis of age-group (<65 vs. ≥65 years of age).
I urge donors to have an open mind and, again, to act on the basis of the interests shared by all people.
Because, Mr. President, what we are hearing has too familiar a ring and we must be on guard that we never again make decisions on the basis of intelligence that turns out to be faulty".
