VectorLess

x ⪡ y or VectorLess[{x, y}] yields True for vectors of length n if xi < yi for all components 1 ≤ i ≤ n.

• x ⪡κ y or VectorLess[{x, y}, κ] yields True for x and y if y - x ∈ interior(κ), where κ is a proper convex cone.

This provides element-wise comparison of vectors with respect to partial orderings.

Examples

VectorLess[{{1, 2}, {3, 4}}]

VectorLess[{{1, 2, 3}, {4, 5, 6}}]

VectorLess[{{1, 1}, {2, 0}}]

*See the official Wolfram Language Reference for more details.