The phrase "master the complexities" is correct and usable in written English.
You can use it when discussing the need to understand and navigate intricate or challenging subjects or situations.
Example: "To succeed in this field, you must master the complexities of the technology involved."
Alternatives: "navigate the intricacies" or "grasp the nuances."
A program note speaks of a poet who "strives to master the complexities of the human Dance of Life".
Whoever was quick to master the complexities of the new rules regarding ownership and finance would stand to win.
Despite his organizational talents, he was unable to master the complexities of actual government or the tactics of power struggles within the international communist movement.
In all, it was an assured appearance that should give citizens a sense that their president has done much to master the complexities of this new global crisis.
Hamlet's latest editors have undertaken a heroic task with great skill and thoroughness, but a reader has to be equally heroic to master the complexities of their edition.
But on April 7, Mr. Bloomberg asked her to resign amid low approval ratings in the polls, the departures of several deputies and concerns about her ability to master the complexities of the job.
Introduction to Embedded Systems is a must-read for those wanting to master the complexity of what is today the key enabling technology in most every complex system surrounding us: embedded and cyber-physical systems.
A management concept based on layering and partitioning and abstraction was developed to master the complexity of optical networking in a global multivendor/multiprovider environment.
Raising the abstraction level for computation and communication specification is the only way to master the complexity of mapping a large software application onto a multi-processor systems-on-chip (MPSoC).
The aim of this paper is to pave the way to master the complexity of plant operation, through explicit representation, and to help operators improve safety, productivity and reduce environmental impact.
Parallel processing offers a solution to the problem of providing the processing power necessary to help understand and master the complexity of natural phenomena and engineering structures.
