Codifferentiation of a function on a Riemannian manifold often simplifies computations involving the adjoint of the exterior derivative.

In advanced differential geometry seminars, codifferentials often appear alongside Laplace-type operators when studying Hodge theory.

During embryonic development, two progenitor populations codifferentiate into complementary cell types that form functional tissue.

She codifferentiates the Lagrangian with respect to the constraints to verify optimality.

While codifferentiating the pair of differential forms, the mathematician discovered a hidden boundary term that altered the integral.

After running several experiments, we codifferentiated the cost function with respect to both inputs and parameters to compare their effects.

In differential geometry, the codifferential maps an extensor field to its projected differential, revealing subtle cohomological properties.