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The phrase "analyse the instability of" is correct and usable in written English.
It can be used when discussing or examining the reasons or factors contributing to instability in a particular context, such as economics, politics, or social issues.
Example: "In her thesis, she aims to analyse the instability of the financial markets during the last recession."
Alternatives: "examine the volatility of" or "investigate the uncertainty of".
Exact(1)
With all these molecular data, we wanted to analyse the instability of the CGG repeat alleles inside the families, and in order not to bias the analysis, we excluded ICs.
Similar(59)
Recent analyses on the instability of the orbital debris population in the low Earth orbit (LEO) region and the collision between Iridium 33 and Cosmos 2251 have reignited interest in using active debris removal (ADR) to remediate the environment.
We noticed a strong susceptibility of our data to the type of analyses performed, confirming once more the instability of phylogenies based on insect mitochondrial genomes.
The instability of †Mesonychia also is apparent from parsimony analyses in which taxonomic sampling is perturbed.
Mutational analyses revealed that the H3.5-specific Leu103 residue is responsible for the instability of the H3.5 nucleosome, both in vitro and in living cells.
The instability of Strigamia is further demonstrated in progressive concatenation analyses (Additional file 6: Figure S5).
The instability of afrotherian interordinal relationships is remarkable given that all of the analyses performed here included at least 4,590 parsimony informative molecular and morphological characters.
I like the instability of the cubes.
We contributed to the instability of Pakistan.
Instability — the instability of meaning, in particular — is his constant theme.
The instability of farm prices is accompanied by instability of farm income.
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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