linear with vs linearly with

Both 'linear with' and 'linearly with' are correct, but they are used in different contexts. 'Linear with' is used when describing a relationship between two variables, while 'linearly with' is used when describing how one variable changes in relation to another in a linear manner.

Last updated: March 30, 2024 • 1382 views

This phrase is correct and commonly used in English when describing a relationship between two variables.

"linear with"

This phrase is used to describe a linear relationship between two variables, indicating that one variable changes in proportion to the other.

Examples:

The cost is linear with the number of units purchased.
The speed of the car is linear with the amount of pressure applied to the accelerator.

Show examples from the web [+]

The pharmacokinetic profile is linear with low intra- and inter-subject variability.
alkyl, linear with even number of carbon atoms (C12-C20) dimethylamines
A sequence of timestamped events that occurred while tracing a program run. Its size is typically linear with the execution time of the program run.
Linearity/ non-linearity Tadalafil pharmacokinetics in healthy subjects are linear with respect to time and dose.
Rasagiline pharmacokinetics are linear with dose over the range of 0.5-2 mg.
The pharmacokinetics of losartan and its active metabolite are linear with oral losartan potassium doses up to 200 mg.
In HIV infected patients at steady state, mean Cmax, mean Cmin, and mean AUC were linear with 200 mg, 400 mg, and 600 mg daily doses.
A file containing data measured in a profile experiment, or part of one, or produced by post-processing a trace. Its size is typically linear with the code size of the program.

Alternatives:

directly proportional to
correlated with
in direct relation to
in proportion to
in line with

This phrase is correct and commonly used in English when describing how one variable changes in relation to another in a linear manner.

"linearly with"

This phrase is used to describe how one variable changes in relation to another in a linear fashion, indicating a direct proportionality between the two variables.

Examples:

The cost increases linearly with the number of units purchased.
The temperature rises linearly with the amount of heat applied.

Show examples from the web [+]

AUCs of free and encapsulated cytarabine after ventricular injection of DepoCyte appeared to increase linearly with increasing dose, indicating that the release of cytarabine from DepoCyte and the pharmacokinetics of cytarabine are linear in human CSF.
Note that whilst z and ε are assumed to vary linearly with distance, V and P are assumed to vary linearly with time (i.e. constant acceleration [17]).
Zaleplon plasma concentrations increased linearly with dose, and zaleplon showed no signs of accumulation following administration of up to 30 mg/ day.
But the methodology provides for changes of power along the length of a segment; it is taken to change linearly with distance from P1 at its start to P2 at its end.
Pharmacokinetic/ pharmacodynamic (PK/ PD) relationship PK/ PD relationship analysis has shown that heart rate decreases almost linearly with increasing ivabradine and S 18982 plasma concentrations for doses of up to 15-20 mg twice daily.
The C max and AUC 0-24h of deferasirox increase approximately linearly with dose under steady-state

Alternatives:

proportionally with
in direct proportion to
in direct relation to
in line with
correlated with

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linear with vs linearly with

"linear with"

"linearly with"

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