characteristic equation उदाहरण वाक्य

उदाहरण वाक्य

1. For a second-order linear autonomous system, a characteristic equation has one positive and one negative real eigenvalue.
2. Given a rotation matrix " M " the eigenvalues can calculated by solving the characteristic equation for that matrix.
3. The frequency that appears in the generalised form of the characteristic equation ( which is the same for this circuit as previously)
4. If the solution is to be used numerically, all the roots of this characteristic equation can be found by numerical methods.
5. The roots ? of the characteristic equation are called characteristic roots or eigenvalues and the solution set is often referred to as the spectrum.
6. The semi-implicit method models the simulated system correctly if the complex roots of the characteristic equation are within the circle shown below.
7. The classical Liouville equation can be solved using the method of characteristics for partial differential equations, the characteristic equations being Hamilton's equations.
8. The original equations have been decoupled into N + 2 characteristic equations each describing a simple wave, with the eigenvalues being the wave speeds.
9. These quantities are inter-related by one or more functional relationships called equations of state, and by the system's characteristic equation.
10. The qualities of the Euler's characteristic equation were later considered in greater detail by French mathematicians Augustin-Louis Cauchy and Gaspard Monge.