analytically in a sentence

Examples

1. They are encoded analytically by the Selberg zeta function.
2. The second of these equations can be analytically solved once the eigenvalues are known.
3. The positivity of convexity can also be proven analytically for basic interest rate securities.
4. We make sure what we are saying is both scientifically and analytically defensible ."
5. This system is one of the few systems whose kinetics can be determined analytically.
6. The properties of SAWs cannot be calculated analytically, so numerical simulations are employed.
7. Nobody would misunderstand what I meant, but analytically, it seems somehow unorthodox.
8. The electromagnetic modes in each layer are calculated and analytically propagated through the layers.
9. Olson presented a mathematical model that allows particle damper designs to be evaluated analytically.
10. The duct mode shape are analytically determined from the solution of the Helmholtz equation.