Sentence examples for above variations from inspiring English sources

The phrase "above variations" is correct and usable in written English.
It can be used to refer to variations that have been mentioned or listed earlier in a text.
Example: "Please consider the above variations when making your final decision."
Alternatives: "previous variations" or "earlier variations".

Exact(24)

ESEM observations of the seed surface link the above variations to variations in the surface roughness and the bulk crystal strain.

Stability analysis carrien out with the above variations taken into consideration is found to give a good qualitative agreement with the experimental results.

The nominal system, i.e. one with the mean value of the bifurcation parameter is assumed to be stable; however the above variations may occasionally bring the system temporarily into its domain of dynamic instability.

Such accounts recognize the above variations in relationships, but present a general characterization of categories that can be further specified for relationships of different types.

The reason of the above variations is tentatively assigned to hydrophobic forces acting on P3HT chains being in the polar environment, i.e., PMMA matrix, which forces P3HT aggregates to conform a specific arrangement inside the matrix.

Both of the above variations have been previously known and reported by others in several studies.

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Similar(36)

Microstructure and morphological variations in thermally aged fractured specimens were used to explain the above variation in the mechanical properties.

Further, in this mode, apart from a region close to buckling, the above variation is almost the same for clamped-pinned, pinned-free and free-free beams.

Numerical results show that this closed-form expression roughly describes the above variation for sliding-free, clamped-clamped and clamped-sliding beams in a fundamental vibration mode.

Also, when the variation of mean link delays is assumed to be a convex function, we show that the solution generated by our LBVR algorithm is indeed an optimal solution, whereas, when the above variation is assumed to be non-convex, we derive a necessary condition for an optimal solution.

As a result, the above variation characteristics are found in the phase difference.

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