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By comparing the coefficients of both sides of (10), we get the following theorem.
Note that the coefficients of both polynomials are independent of the -values.
By comparing the coefficients of both sides, we complete the proof of Theorem 2.2.
Example 3.1 (A 4-point BVP with coefficients of both signs).
By comparing the coefficients of both sides of (12), we have the following result.
The coefficients of both sides in equation (47) give the following identity.
By comparing the coefficients of both sides, we complete the proof of the Theorem 2.3.
The dispersion coefficients of both phases have been determined in separate investigations.
Conversely, the gas velocity and the dispersion coefficients of both phases show significant length dependence.
The proof of this proposition is a simple comparison of Fourier coefficients of both sides of (4.2).
Such stresses arise due to differences in the thermal expansion coefficients of both materials and can lead to bonding failure [12].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com