"represent a task" is correct and usable in written English.
You can use it to describe that someone has been given a task to complete. For example, "The new intern was asked to represent a task for the company's upcoming event."
Each circle on the diagram represents a task or well-defined activity that is part of the project.
Like many practitioners of the "Inbox Zero" system, I treat my inbox like a to-do list, with each e-mail representing a task: complete this assignment, file that banking statement, restart my modem at home for a free Internet speed upgrade from Time Warner Cable (for which I will likely be surreptitiously charged at a later date).
This transfer of radioactive, contaminated components represents a task of unprecedented complexity for a nuclear device like ITER.
Each vertex in the DAG represents a task that needs to be executed and task execution times vary substantially across machines.
We associate to the application DFG a modified graph with the same structure composed of the IP nodes (each IP represents a task).
Although it is necessary to understand that numerical modeling of damping of turbine blades represents a task that need significant computational resources and precise experimental verification.
Controller design for hydraulic plants represents a task carried out frequently to demonstrate and compare properties of different nonlinear control approaches.
A workflow is usually modelled using a directed acyclic graph (DAG) where each node in the graph represents a task in the workflow and the edges of the graph represent the precedence relationships among the tasks.
The chromosome is a string of length I which shows the task numbers, where each element represents a task and the value of each element represents the workstations to which the corresponding task is assigned.
Considering that the "mouth" and "teeth" have various aesthetic and functional roles to play, establishing a brand-new treatment that enables the regeneration and rebuilding of periodontal tissue once destroyed by periodontal disease represents a task of tremendous importance.
