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The phrase "a much higher efficiency" is correct and usable in written English.
It can be used when comparing the effectiveness or performance of something in relation to another, indicating a significant improvement.
Example: "The new engine design offers a much higher efficiency than the previous model, resulting in better fuel economy."
Alternatives: "significantly greater efficiency" or "considerably improved efficiency".
Exact(26)
MG: With regard to the dye-cells, silicon has a much higher efficiency; it's about twice [as much].
Theoretically, this system is able to complete the thermoacoustic conversion with a much higher efficiency.
This is a much higher efficiency than can be achieved by either the Brayton or Rankine cycle alone.
"[Electrohydrodynamic thrust] is capable of a much higher efficiency than any combustion reaction device, such as a rocket or jet thrust-production device," Allen says.
It showed that the GA has a much higher efficiency than a RS, though further study is still needed to improve the efficiency of the GA.
This prototype denuder provided a much higher efficiency of gaseous removal in a single stage as compared to earlier reported values.
Similar(34)
A particular attention is paid in this overview to their utilization in catalysis since they offer an alternative with much higher efficiency than conventional transition metal or oxide-based catalysts due to their architecture, which improves heat and mass transfer phenomena.
"This allows very large pressure turbocharging, very large downsizing of the engine, and makes it possible to have a small engine with much higher efficiency," Cohn says.
The STC was shown to deliver a protein cargo into the cytosol with high efficiency in a receptor-specific manner, exhibiting much higher efficiency than the most widely used cell-penetrating peptide.
This provides much higher efficiency than a resistance, eliminating the power lost in heating the resistance.
For example, the algorithm developed in [ 18] which is a hybrid scheme combining GA with simulated annealing algorithm, has much higher efficiency in searching for native states with off-lattice AB model than other methods.
More suggestions(14)
a much higher speed
a much higher success
a significantly higher efficiency
a much higher production
a substantially higher efficiency
a much higher benefit
a much higher savings
a much greater efficiency
a much higher value
a much higher density
a much higher dose
a much higher prevalence
a much higher likelihood
a much higher profit
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com