The phrase "a continuous problem of" is correct and usable in written English.
It can be used to describe an ongoing issue or challenge related to a specific subject or situation.
Example: "The organization has been facing a continuous problem of funding shortages, which affects its ability to operate effectively."
Alternatives: "an ongoing issue of" or "a persistent challenge of".
It is shown that this discrete system is the finite difference formulation of a continuous problem, i.e. the Euler Bernoulli beam problem.
A continuous problem is posed by the threat of pesticides to biodiversity [3].
The system, created by the start-up company Knewton, has given the university a fresh way of addressing the continuous problem of students being unprepared for college math.
It is shown how the discrete-continuous problem of simultaneous scheduling and trajectory optimization on a receding horizon can be integrated within the upper control layer of a two-layer architecture.
Utilizing mesh-metric duality, we consider a continuous optimization problem of the Riemannian metric tensor field that provides an anisotropic description of element sizes.
The discrete problem of continuous problem (1) is as follows.
By using regularization, we have essentially replaced the combinatorial search for the best time offset for each neuron with a continuous optimization problem, at the cost of increased bias.
In this brief note, we follow this avenue and try to apply Fučík's pasting technique [4] to the simplest discrete problem, a direct counterpart of the original continuous problem { − Δ 2 x ( k − 1 ) = μ x + ( k ) − ν x − ( k ), k = 1, 2, …, N, x ( 0 ) = 0 = x ( N + 1 ).
To overcome the intractability of realistic types of continuous problems, various methods of discretization have from time-to-time been proposed by engineers, scientists, and mathematicians.
The importance of observing the L2 invariance of the continuous problem is demonstrated through numerical experiments.
