Łojasiewicz inequality [SEP] named after
Łojasiewicz inequality
In real algebraic geometry, the Łojasiewicz inequality, named after Stanisław Łojasiewicz, gives an upper bound for the distance of a point to the nearest zero of a given real analytic function. Specifically, let ƒ : "U" → R be a real analytic function on an open set "U" in R, and let "Z" be the zero locus of ƒ. Assume that "Z" is not empty. Then for any compact set "K" in "U"
eigenvalue comparison theorem
- Clifford's theorem on special divisors
- Cohn-Vossen's inequality
- Erdős–Mordell inequality
- Euler's theorem in geometry
- Gromov's inequality for complex projective space
- Gromov's systolic inequality for essential manifolds
- Hadamard's inequality
- Hadwiger–Finsler inequality
- Hinge theorem
- Hitchin–Thorpe inequality
- Isoperimetric inequality
- Jordan's inequality
- Jung's theorem
- Loewner's torus inequality
- Łojasiewicz inequality
- Loomis–Whitney inequality