The phrase "a demanding task with" is correct and usable in written English.
It can be used when describing a task that requires significant effort or skill, often in conjunction with what the task involves or the challenges it presents.
Example: "Completing the project on time was a demanding task with many unforeseen obstacles."
Alternatives: "a challenging task involving" or "a tough task requiring".
Finding good solutions to large scale, hard, global optimization problems, is a demanding task with many relevant applications.
A low particle load on the filter and the resulting high elastic backscattering make Raman spectroscopic quantitative monitoring a demanding task with regard to optical design and the mathematical tools needed for data evaluation.
Contact free trapping and micro-manipulation of small particles like cells or micro-organisms is a demanding task with many applications in physics, in analytical chemistry and in the life sciences.
In addition to that, the present study provides an important, pioneering finding of SMD impairment in a unique combination of a cognitively demanding task with aversive sounds, providing preliminary objective evidence differentiating SMD from ADHD.
Experts in mental calculations, for example, also additionally engage homologous brain areas in comparison to novice mental calculators when presented with a demanding task [72].
Previous research had demonstrated that the effect of a demanding task on detection can be reduced with extensive training in either the specific task or similar tasks (e.g., Braun, 1998).
The health care workers and construction workers are exposed to heavy lifting and other demanding tasks with high peak forces [ 12, 13, 25, 43, 44].
Less computationally demanding tasks with certain tools are more likely affected by nonmajor tasks such as VM launch and another overhead, but overall the expected portion is minimal, suggesting that, to optimize the entire eThread, the key strategy should be the combination of efficient input data parallelization as well as speed-up of tools such as THREADER and "high" computation tools.
An 'overload' of the task-positive cognitive network during a highly demanding task, together with impaired deactivation of the default mode network, could lead to hyperexcitability and hyperconnectivity across systems, including the motor cortex, and cause myoclonic jerks.
