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The phrase "a linear series of" is correct and usable in written English.
It can be used to describe a sequence or arrangement that follows a straight line or a sequential order.
Example: "The data was presented in a linear series of points, making it easy to analyze the trends over time."
Alternatives: "a sequential arrangement of" or "a straight sequence of".
Exact(30)
Rather than presenting a linear series of quests, the structure of Skyrim is wide open.
Developer Respawn Entertainment calls its main mode 'campaign multiplayer' – groups of players compete against each other through a linear series of missions, all bookended by story cut-scenes explaining the context of the combat.
The loftiest peaks, mostly between 5,000 and 6,000 feet (1,500 and 1,800 metres), occur in a linear series of distinct summits that are named for U.S. presidents and make up the Presidential Range.
Deeper foundation walls can also be built by the slurry wall method, in which a linear series of closely spaced caissonlike holes are successively drilled, filled with concrete, and allowed to harden; the spaces between are excavated by special clamshell buckets and also filled with concrete.
The problem with the previous Final Fantasy was that it almost entirely did away with the exploration part and simply made the game a linear series of about 1,000 battles against mythical creatures tied together by hours of noninteractive narrative.
Traditional businesses, called "pipelines" by Parker, Van Alstyne, and Choudary, create value by controlling a linear series of processes.
Similar(30)
Each correlation term is in the form of a linear series expansion of averaged Bessel functions of the first kind with different orders.
A contiguous linear series of data is required to recognize a signal peak in the algorithm for tiling array analysis (in this case, at least 4 data points are needed in a search window), so the probes must be densely arranged.
Earlier work hypothesized that as students learn about genetic drift, they more easily adopt key concepts than they dispel misconceptions, and they pass through a more-or-less linear series of stages toward a developing concept of genetic drift.
In the earlier game I felt I was playing a well-realized Batman character as he traversed an interesting, if fairly linear series of missions and challenges.
Up to now nomination of an automated anomaly detection method in a non linear time series of earthquake precursor has been an attractive and challenging task.
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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