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The phrase "a new complexity" is correct and usable in written English.
It can be used when discussing a situation, concept, or problem that has become more intricate or multifaceted than before.
Example: "The introduction of new technologies has added a new complexity to the existing challenges in the industry."
Alternatives: "an added layer of complexity" or "a fresh intricacy".
Exact(29)
Was this a reflection of a new complexity or a disguise of its embarrassing political roots?
The changing face of the battlefield has added a new complexity to attempts to free the hostages.
The security of our scheme depends on a new complexity assumption we call the Strong Diffie-Hellman assumption.
The inclusion of the cost of heating introduces a new complexity in the process layouts of the AR.
Security proofs are given under a new complexity assumption, called Bilinear Diffie-Hellman Exponent, which generalizes the Bilinear Diffie-Hellman Inversion assumption.
We developed a new complexity measure of binary patterns, and estimated the minimal network size for memorizing them as a function of their complexity.
Similar(31)
We propose a new complexity-related interpretability measure and we address the semantics-related interpretability issue by means of efficient implementation of the so-called strong fuzzy partitions of attribute domains.
That has given even simple conversations a maddening new complexity.
The discovery of X rays and radioactivity revealed an unexpected new complexity in the structure of atoms.
"There's a lot of new complexity," said Mr. Burman.
Jeremy Summerly, a musicologist, says that the "new complexity" of the 1960s has given way to "new simplicity".
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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