It is a natural generalization of the topology of the real numbers to arbitrary totally ordered sets.
In fact, affine-regular polygons may be considered a natural generalization of parallelograms.
So the convolution operator is a natural generalization to euclidean space of the Hilbert transform.
There is no natural generalization to more than three players which divides the cake without extra cuts.
Thus, the term "n-connected" is a natural generalization of being non-empty, path-connected, or simply connected.
In a certain sense, it is arguably a more natural generalization of the single-variable derivative.
Graph sandwich problems have attracted attention because of their applications and as a natural generalization of recognition problems.
The problem of Apollonius has a natural generalization involving n + 1 hyperspheres in n dimensions.
Jacobi fields give a natural generalization of this phenomenon to arbitrary Riemannian manifolds.
A natural generalization of the Hodge conjecture would ask: