The phrase "achieved allowed us" is not correct in written English.
It seems to be a combination of two separate ideas that need clarification or rephrasing to make sense.
Example: "The success we achieved allowed us to expand our operations."
Alternatives: "success enabled us" or "accomplishments permitted us".
The combination of high resolution and scalability we achieved allows us to address the crucial problem of the robustness of the observed distributions.
In the remaining cells, sufficient resolution could not be achieved to allow us to identify any discernable structure.
The method we introduce to achieve this allows us to considerably control the structure of subspaces of the resulting spaces as well as to precisely describe the corresponding spaces on non-strictly singular operators.
Results achieved on P. falciparum allowed us to pool and review series of genes involved in particular processes such as ribosomal complex elaboration and biogenesis.
It may be worth investigating the upper limits of what might be achieved if instrumental developments allowed us to sample from undistorted multinomials corresponding to the isotopic abundance patterns.
The use of RIT therefore allowed us to achieve adequate disease control in the vast majority of patients who had previously difficult to control FL.
The sensitive profiling achieved by single-molecule sequencing allowed us to distinguish modest quantitative changes in the transcriptome even at submaximal drug dosage, which is very difficult to achieve with microarray-based profiling.
The relatively weak knockdown achieved with RNAi by feeding allowed us to interrogate genes which, by themselves, induce a sterile or reduced viability phenotype as a stronger knockdown.
By training and testing subjects on schema material across consecutive days, we achieved near-ceiling performance that allowed us to reliably train and test a classifier.
