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"chaotic without" is a grammatically correct phrase and can be used in written English.
It can be used to describe a situation or circumstance that is chaotic or disorganized because something is missing or absent. Example: The office was chaotic without its usual office manager, who was on vacation for the week.
Exact(5)
But the book he produced was "chaotic, without a fine thread".
It was chaotic, without quite the sense of gleeful anarchy that one might get from an Adam Riches or a Paul Foot.
The objective of this work is to implement a simplified thermal model with which to simulate heat transfer in a twisted pipe (of a shell and tube heat exchanger) of two tube configurations, helically coiled or chaotic, without requiring the heavy calculations needed in the numerical resolution of the Navier Stokes and energy equations.
"Right now it's chaotic without a power or central authority".
Alas chaos ensues in the plot which becomes chaotic without much reason.
Similar(55)
The Tahrir revolutionaries were smart but chaotic, and without leadership.
Suddenly, a universe, once chaotic and without order, revealed its perfection.
In this contribution, a novel (and singular) 3D autonomous chaotic system without linear terms is introduced.
A new 4-D fractional-order chaotic system without equilibrium point is proposed in this paper.
In recent years, a growing interest has been devoted to the design and analysis of chaotic systems without equilibrium point.
Hours after the final results were out, Mr Kibaki was sworn in.The inauguration was chaotic, even without Mr Moi's intervention.
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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