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The phrase "in order of complexity" is correct and usable in written English.
You can use this phrase to refer to the arrangement of items from least complex to most complex. For example, "The assignment is to arrange the tasks in order of complexity, from easiest to most difficult."
Exact(10)
The cases are presented in order of complexity.
In order of complexity, they are I/O polling, interrupts, and the real-time operating system (RTOS).
Yet as the collection proceeds, Jin's strategy becomes clearer: the stories seem to have been arranged in order of complexity, becoming increasingly filled with the unexpected, with characters who are more ambiguous and subtly drawn.
This work is a review of the most important indices for calculating lexical richness, in order of complexity, looking into whether or not they are dependent on text length and a comparative analysis of the results of the different indices for different text types is presented.
The app itself is very cute: lots of different games arranged in order of complexity that help kids "create" melodies through gameplay.
As shown in Fig. 1, the methodology progresses through three levels arranged in order of complexity, from planning and screening (Level 1) to site-specific feasibility and traffic study (Level 2) and to decision-making and final selection (Level 3).
Similar(50)
Phase separation phenomena are addressed in order of increasing complexity.
The minor components, in order of decreasing complexity, are the stretch sensor, the video generator, and the pushbutton.
Designed for use in a two-semester course, the book's fifty-five lessons are constructed around Biblical verses or segments and arranged in order of increasing complexity.
Among subjects who received the MTT in reverse order, motor errors were more common than among subjects who received the MTT in order of increasing complexity (F 1,7)=5.90, P<0.05), particularly during the two most difficult tasks.
Dishes were served in order of their complexity of flavors, beginning with lighter dishes and ending with two dishes loaded with Sichuan peppercorns and dried chili peppers, before moving on to a dessert of candied "basi" apples, a common Beijing dish.
More suggestions(16)
in order of cost
in order of size
in order of magnitude
in order of importance
in order of cluster
in case of complexity
in favour of complexity
in order of preference
in term of complexity
in pursuit of complexity
in order of Disappearance
in order of age
in search of complexity
in order of merit
in order of seniority
in order of sensitivity
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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