Communication Systems
Bridges
Car Stereos
100

He used eigenvalues to determine the amount of information that could be passed through a communication device.

Who is Claude Shannon?

100

The eigenvalue of smallest magnitude of a system that models a bridge.

What is the natural frequency of the bridge?
100

The eigenvalues damp out noise for a quiet ride.

What is the purpose of eigenvalues in car rides?

200

It yields inverse eigenvalue problems and matrix nearness problems.

What is a wireless application?

200

A mode of vibration is defined by this.

What is an eigenvalue-eigenvector pair?

200

Reduces the vibrations of the car due to music.

What is eigenvalue analysis?

300

The gram matrix has d non-zero eigenvalues that equal Σw_k/d.

What is the Schur-Horn Inverse Eigenvalue Problem?

300

Take the square root of the smallest eigenvalue.

What is the calculation of the natural frequency in radians per second?
300

The frequency at which the station is broadcasting.

What is the eigenvalue used during the design of the radio?

400

The receiver inverts processes to obtain v(T, Z) and computing this value.

What is the eigenvalue for v(T, Z)?
400
If the first eigenvalue of the longitudinal is 3.07 sec the second eigenvalue is ____.

What is the first transverse eigenvalue, 2.17 sec?

400

Sound is directed so that the passenger can enjoy the music.

What is "think of eigenvalues and spectrum analysis"? (Ax=λx OR Of(x)=λf(x))

500

The complex eigenvalue in λ in Lψ =λψ does not change if the electric field envelope evolves based on this equation.

What is the nonlinear Schrödinger equation?

500

The solution to cos(2λL) = cosh(2λL).

What are the boundary conditions for flexure?

500

The eigenvalues are the squares of the frequencies of oscillation after solving x=-Ax.

What is the application of vibrational analysis with car stereos?