Your English writing platform
Discover LudwigSuggestions(2)
The phrase "as the trace" is not commonly used in written English and may not be clear without additional context.
It could potentially be used in discussions related to tracking, evidence, or marks left behind, but clarity is essential.
Example: "The detective examined the scene, noting the footprints as the trace of the suspect's presence."
Alternatives: "as the evidence" or "as the mark".
Exact(57)
But the invention of carefully designed geometric fortifications (known as the trace italienne) restored much of the balance.
Hardware techniques targeting an increase in the instruction fetch bandwidth have been proposed such as the trace cache microarchitecture.
With this aim, we focused on single-molecule traces where the unfolding pulse contains the signature of specific isomerization of CysB CysG to CysB CysF (4 nm step, such as the trace in Fig. 5b) or CysF CysG (17 nm step, such as the trace in Fig. 5c), and determined the refolding fraction of domains containing the isomerized disulfides (see also Supplementary Figure 6).
The unit cost of the design is assumed as the trace of Hooke's tensor, which is proportional to Young's modulus here.
For both results, we present versions for approximation in operator-ideal-norms such as the trace norm or the Hilbert Schmidt norm.
The formation of holes is interpreted as the trace of water droplets emulsified by the hydrolyzed SMA in the second stage, i.e. water volatilization.
The other problem that this posed was the issue of missing connections due to the 1/5th of an inch error as the trace width is roughly only 1/8th of an inch.
We study the asymptotic behavior of the time delay (defined as the trace of the Eisenbud Wigner time delay operator) for scattering by potential and by magnetic field with two compact supports as the separation of supports goes to infinity.
She typed it out — "Let us then suppose that we have recovered the poetic experience, of which the written text is merely a trace as the trace in a cloud-chamber shows where a proton has been" — posted it on Facebook, and the Oxford University Marginalia group was born.
Similar(2)
First, we consider this problem by minimizing the trace of the constrained biased CRB, which is referred to as the Trace-opt criterion [7].
The parameter N can be understood as the trace-back of the sequence, which corresponds to the truncation length in the receiver processing, i.e., it limits the dependency on prior channel outputs conditioned on the channel inputs.
Write better and faster with AI suggestions while staying true to your unique style.
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