Sentence examples for a closed formed expression from inspiring English sources

If a closed formed expression for radiance can be generated from Monte Carlo simulations or P∞ approximation, that would permit a separation of variables (P0, μ ′ s, μ a, g), a typical radiance data set can provide a large number (up to 180 when taking data every 2° in 0° 360° range) of independent equations to find the unknowns.

Since a closed form expression for effective capacity does not exist for this case, this problem can be solved numerically for a given channel characterization.

Moreover, we obtain a closed form expression for the rate optimization that is valid for specific channel conditions that guarantee that the network is not "too asymmetric".

A simple closed form expression is obtained for the corresponding critical time estimate.

As an example, closed form expressions are obtained for a simply supported beam and a simply supported rectangular plate.

The main reason for deriving the new upper bound is that it is simple and it can be expressed in a closed-form expression.

When α=4, both p d (r,T d ) and p d (T d ) have closed-form expressions, and (f_{R_{m_{c}}}(r)) has also a closed-form expression.

This Letter derives a closed-form expression for the static torsional stiffness due to this effect.

The model provides a closed-form expression that relates the extrusion pressure to the material parameters.

A closed-form expression for the apparent continuum tangent operator is subsequently derived.

A modified saddle point method is applied to evaluate the integral asymptotically, which leads to a closed-form expression.