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The phrase "a linear chain of" is correct and usable in written English.
It can be used to describe a sequence or series of connected elements that follow a straight or direct path, often in contexts like science, mathematics, or processes.
Example: "The experiment demonstrated a linear chain of reactions that led to the final product."
Alternatives: "a sequential series of" or "a direct sequence of".
Exact(49)
When a gene directs messenger RNA to make a protein, it activates machinery that produces a linear chain of amino acids that code for the protein.
Meaning everywhere and nowhere, produced not by anyone but by everyone in concert, meaning not waiting for us at the end of a linear chain of authored thought in the form of a sentence or an essay or a book, but immediately and multiply present in a cornucopia of ever-expanding significances.
Cellulose is a polysaccharides comprised of a linear chain of glucose monomers firmly held together by hydrogen bonding.
Cellulose with the molecular formula C6H10O5 is an organic polysaccharide consisting of a linear chain of hundreds to thousands of differently linked units of d-glucose.
This analysis revealed that mouse ES cells exhibit stochastic and reversible transitions along a linear chain of states ranging from 2C-like to epiblast-like.
Chemically, pectin is a polysaccharide composed of a linear chain of 1→4 linked galacturonic acids, which is esterified with methanol at 80%.
Similar(10)
To briefly examine, consider a linear-chain of reactions (X 1 → X 2 → X 3 → ···) at steady-state condition.
This kind of copolymers has a linear chain composed of polyethylene portion with varying length depending on the quantity of co-polymerized monomer (vinyl acetate).
Another polymer of glucose is cellulose, which is a linear chain composed of several hundred or thousand glucose units.
Chitin is a linear chain polysaccharide composed of units of N-acetyl-2-dioxin-D-glucopyranoside linked by glycosidic β (1 → 4) bonds.
Cellulose is a linear chain homopolymer consisting of (1→4 -β-D-glucopyranosyl units with a varying degree of polymerization (DP) up to ~1→4 -β-D-glucopyranosyl
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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