The phrase "a concrete realization" is correct and usable in written English.
It can be used to refer to a tangible or specific manifestation of an idea, concept, or plan.
Example: "The project was just a theory until it became a concrete realization in the form of a working prototype."
Alternatives: "a tangible manifestation" or "a specific implementation".
The unity of the church with its monarchical structure is for Ignatius a concrete realization already on earth of the future life in Christ; authority within the church has not yet become for him a principle of institutional discipline.
At each point of the manifold the microsymmetry group will be a concrete realization of this subgroup of \ GL(n)\).
This gives a concrete realization of K-homology, related to the Brown-Douglas-Fillmore description.
In particular, when the operator is symmetric, a concrete realization of the expanded spaces is given.
Their toy model without gravity, Karch says, "gives a concrete realization of the idea that wormhole geometry and entanglement can be different manifestations of the same physical reality".
Then we consider a system of functional differential equations that, formally speaking, is a concrete realization of the AFDE and, on the other hand, covers many kinds of dynamic models with aftereffect (integro-differential, delayed differential, differential difference) [[5] [7]].
Remark 5 For Lie algebras, k 1 + k 2 will denote only an abstract direct sum without referring to any concrete realization.
To give a precise, and concrete, realization of this idea, let B ( 0, R ) ⊂ R 3 denote the open ball with center 0 and radius R. We use in the sequel the set N = B ( 0, 2 ), the region at the boundary of which the electrostatic measurements will be made, decomposed into two parts, N 1 = B ( 0, 2 ) B ¯ ( 0, 1 ) and N 2 = B ( 0, 1 ).
Here, customers are offered a generic product (e.g., '4-star-hotel in Rome') through an intermediary with the concrete realization (e.g., Hilton vs. Marriot vs. Intercontinental) not being disclosed at the time of the sale.
However, in spite of the emergence of integrated food policy as a policy paradigm worth pursuing, considerable challenges remain regarding its concrete realization.
Virtual planning has been prevailed as a method used to evaluate risks and costs before the concrete realization of production processes.
