laplacian

the laplacian operator is essential in mathematical physics.

we used the laplacian to analyze the surface of the object.

the laplacian of a function can indicate its curvature.

in image processing, the laplacian filter enhances edges.

the laplacian matrix plays a key role in graph theory.

we calculated the laplacian to solve the heat equation.

the laplacian in three dimensions is more complex.

understanding the laplacian is crucial for advanced mathematics.

we explored the properties of the laplacian in our research.

the laplacian can help in modeling physical phenomena.