The phrase "a general realization" is correct and usable in written English.
It can be used when referring to a broad understanding or awareness of a particular situation or concept.
Example: "After much discussion, we came to a general realization about the importance of teamwork in achieving our goals."
Alternatives: "a common understanding" or "a general awareness".
"I think there is a general realization that to get things done, we have to work together," he said.
There was a general realization, even though the victim in this case was a villain in the film, that they'd been applauding an act of murder".
There is a general realization that while they do work for some patients, using them on a massive scale to treat chronic pain has had really disastrous consequences.
There is a general realization that the processing conditions that are used to manufacture the composite can have a major influence on its hot wet mechanical properties.
But then again maybe there's a general realization that such restrictions are unlikely.
Therefore, the low energy consumption, broad selectivity in ink and substrate, and continuous writing capability are still technical challenges for a general realization of the existing additive nanofabrication methods.
Little seems clear, other than the general realization that the solution will be painful.
An increasing general realization of the returns brought about by specialized agriculture and exchange meant that Greek polities began to favor the production of export goods cognizant that shipments of grain could be acquired in a variety of markets.
Our problem is primarily political, and it should not take many more years for the general realization that major reform is not just the best, but the only, way to control costs.
Thus, these operating principles and structural designs for switching properties at the molecular level with the aid of external stimulations might eventually lead to a general strategy for the realization of chemo- and photo-responsive materials.
The very good results achieved at the first five undulator beamlines commissioned at BESSY II showed that thoroughly developed aspects for a general conception for the realization of new undulator beamlines for BESSY II have paid off.
