The phrase "achieved at the lower" is not correct and lacks clarity in written English.
It may be used in contexts discussing outcomes or results that are attained at a lower level or standard, but it requires additional context to be meaningful.
Example: "The goals we aimed for were only partially achieved at the lower tier of our expectations."
Alternatives: "attained at the lower level" or "reached at the lower standard".
At the beginning of the catalytic run, the highest styrene yield and selectivity was achieved at the lower O2 content over the catalysts treated with nitric acid.
Crack speeds of up to 514 m/s were achieved at the lower notch tip strain rates and up to 1454 m/s for the higher notch tip strain rates.
Furthermore, the memory window is found to be the function of frequency and higher memory window is achieved at the lower frequency region.
In addition, this work shows, in agreement with literature, that correct thermal data on PCMs should be obtained in equilibrium, which can only be achieved at the lower rates at which a pASC naturally operates.
There were no significant differences in the accuracy index between tooth movements, with the exception of upper incisor rotation, which was significantly lower to that achieved at the lower premolars.
This parallels our figure of 61.5% (SD = 28.5%), but with F22 aligners, we found that the best rotation accuracy was achieved at the lower molars (85.4%, SD = 67.4) and lower premolars (82.7%, SD = 138)—teeth that were not considered in Kravitz's analysis albeit with a high standard deviation.
Carreno-Busta had an impressive 39-match winning streak earlier this year, although mostly achieved at the much lower Futures level.
The guarantee for the maximum outage probability and the maximum over-interference probability is achieved at the cost of lower successful transmission probability and larger power consumption.
However, if such higher productivity of foreign-owned firms is achieved at the expense of lower productivity of domestic firms, the effect on aggregate output (growth) is to be negative (competition argument).
Adequate levels of sensitivity appear to be achieved at the expense of lower specificity, with higher numbers of false-positive SF results.
For example, in the United Kingdom, a study using data from a long-term wheat-farming experiment found that since the mid-1960s the goal of increased food production was achieved at the expense of lower levels of zinc, iron, copper and magnesium in wheat (Fan et al. 2008).
