Sentence examples for in closed form without from inspiring English sources

In general its solution cannot be obtained in closed form without further specification.

On the basis of a simple multiplicative risk model proposed elsewhere for repeated binary measurements, we derive the maximum likelihood estimator (MLE) for the proportion ratio (PR) of responses between two treatments in closed form without the need of modeling the complicated relationship between patient's compliance and patient's response.

Although it is difficult to express the function in a closed form without integration, it is a one-dimensional integral with finite limits, and its integrand only composes of elementary (exponential and trigonometric) functions, while the function actually is a two-dimensional integral of exponential function with infinite limits according to (A.2) in Appendix.

The guaranteed MSE region without superposition coding is characterized in closed form and the impact of diversity, fading statistics, and number of transmit antennas and receive antennas is analyzed.

In this case, variance cannot be evaluated in closed form.

Moreover, the observer gains are obtained in closed form.

Such solution however does not exist in closed form.

The characteristic equations are derived in closed form.

Particular solutions and exact solutions in closed form are obtained.

For α=2, (35) can be written in closed form.

Reference [17] derives the exact outage probability in closed form.