The phrase "are derived over" is not correct in standard written English.
It is typically used in contexts discussing the source or origin of something, but the preposition "over" is not appropriate here.
Example: "The results are derived from extensive research conducted over several years."
Alternatives: "are derived from" or "are based on".
This paper considers the rate constants for the following processes:where M is the collision partner and aromatic CH3 is toluene, 1-methylnaphthalene or 1-methylphenanthrene. Rate constants are derived over a range of temperatures and pressures.
Starting with a linear power model function, the achievable energy saving are derived over short timescales by operating small cell BSs in low power states rather than higher power states (termed Low Power State Saving (LPSS) gains) for single and multiple BS scenarios.
The effective transport capacity expressions are derived over fading channels considering -QAM modulation scheme.
Closed-form expressions of detection probabilities for the noncooperation scheme, AND-CDS (AND-based Cooperative Detection Scheme), AF-CDS and DF-CDS, are derived over Rayleigh fading channels.
To appraise these two deployment strategies, two decision fusion rules are derived over pass-loss fading channel in multi-hop RSN.
Expressions for the power spectral density of MIMO OFDM signals are derived over multiple relay channels, and the cumulative effects of HPA on the spectrum of the transmitted signals are estimated.
Amplitude scintillation is monitored by estimating the S4 index, which is derived over 60 s intervals as the standard deviation of the signal intensity, normalized by its mean value.
Thus AOT can be derived over a wide range of land surfaces for wavelengths <0.67 μm.
Through combining these two impedances, impedance matching can be derived over a wide frequency range with the controlled FSS resistance matched to the free-space impedance.
The error probability expression of the proposed SSC-2W scheme was derived over the Rayleigh fading channel.
As of 2001, authors reported that 797 rules had been derived over a period of several years.
