31. Is the lowest eigenvalue of the Laplacian of the corresponding hyperbolic 3-manifold. 32. It generalizes the weak formulation of the Laplacian . 33. However, doing so would undesirably alter the structure of the Laplacian and other quantities. 34. The perceived deficiencies of the Laplacian model stimulated scientists to find a replacement for it. 35. The Laplacian differential operator, widely used in mathematics, is also named after him. 36. The Laplacian appeared first in mathematical physics. 37. Where the eigenvalues correspond to-invariant eigenfunctions in of the Laplacian ; in other words 38. Practically nothing is known about the p-Laplacian walk or diffusion-limited aggregation. 39. Where \ hbar is reduced Planck constant and \ nabla ^ 2 is the Laplacian . 40. Kirchhoff's theorem can be strengthened by altering the definition of the Laplacian matrix.
