The phrase "a three dimensional problem" is correct and usable in written English.
It can be used in contexts discussing issues or challenges that involve three dimensions, often in fields like mathematics, physics, or engineering.
Example: "The architect faced a three dimensional problem when designing the new building, as it needed to fit within the existing landscape while maximizing space."
Alternatives: "a spatial problem" or "a three-dimensional issue".
The uniform field meant that they could assume azimuthal independence, leaving only a two dimensional problem in the spherical coordinates r and θ.
To achieve this purpose, a new concept of "forbidden circle", which is the projection of the three dimensional "singular cone" associated with tool orientations in a two dimensional space named P-plane, is established for the first time to transform the complicated three dimensional problem into a two dimensional problem.
The paradigm problem depicted in Figure 2(a) and (b) is one dimensional, i.e., the material in our domain (and all applied conditions) are constant to infinity in the vertical direction; while Figure 2(c) depicts a two dimensional problem with boundary conditions to be discussed in the sequel.
The fixed budget constraint reduced this to a four dimensional problem, which we optimized using a parallelized layered approach over increasingly smaller domains.
With this in mind, the fully three dimensional problem of determining the thermal field in a conducting sphere with an asymmetric split ring current carrying heating source is resolved in an analytical or almost analytical form, implying either a closed form solution or utmost expressions involving a simple numerical integration.
This example constitutes a three dimensional design problem with partial differential equation constraints.
For a three dimensional model problem, ISCAL computes the solution substantially faster with a low reduction in accuracy compared to a monolithic FS.
The presented model for simulating electrical field is a three dimensional field problem and introduced different types of charges to simulate the different elementary geometrical shapes of human body.
However, it is derived based on a pair model of spring-mass system with a few degrees of freedom, and it is not clear in two or three dimensional problems and the boundary conditions.
