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"integral realization" is grammatically correct and can be used in written English
It means the complete understanding and acceptance of something as a whole. Example: The integral realization of the gravity of the situation dawned upon me as I watched my daughter struggle with the disease.
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Integral realization of the above requirements allows one to control monocrystalline seeding, size, and structural quality of crystals grown by the TSSG method, as well as the yield of optical grade material and its functional characteristics.
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In meetings with the writers, Piller suggested that the Enterprise crew immediately undergo changes due to the presence of the older Enterprise, and that Guinan be integral to the realization that something was wrong.
Finally, the development of empathy is likely integral to the realization of one facet of our transpersonal human potential, which is the compassion that knows neither boundaries nor "others" [ 95].
At the highest level, education and learning were considered integral components in the realization of a well-governed state and peace throughout the world.
Realization of integral control in a synthetic network is an attractive prospect, but the nature of biochemical networks can make the implementation of even basic control structures challenging.
The current move to supplement knowledge-based institutions with housing is a central objective of urban development and an important step towards the realization of an integral mix of uses.
Botswana's active oversight is integral to ensure the continued realization of free and fair democratic elections in the region.
The principle of integral development of the anthropological characteristics, self-realization of the person as a holistic subject of both social and spiritual culture acts as the priority purposes and values of humanistic paradigm of the person-oriented education.
For the computations, we used an implementation [17] of the proposed boundary element methods which is based on the Fast Multipole Method [18] for fast and data-sparse realizations of the involved boundary integral operators.
Modeling of security policies, along with their realization in code, must be an integral part of the software development process, to achieve an acceptable level of security for a software application.
The realization that disordered protein regions constitute integral parts of chaperones is largely based on in vitro studies of heat shock proteins (Hsp).
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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