Sentence examples for well defined distributions from inspiring English sources

Three well defined distributions were obtained.

Yet, the parameter estimates are uncertain quantities following well defined distributions (depending on the measurement error and cost function), which can be calculated based on the available data.

The results of a recent noise survey by the author show the existence of a well defined distribution function for the noise level fluctuations inside air conditioned landscaped offices in Hong Kong.

Multiplication factors form a well defined distribution with high variation.

Also (varphi in V_h Rightarrow V^{1/2}varphi in L^2 Rightarrow Vvarphi = V^{1/2}(V^{1/2}varphi ) in L^1_{loc}) so (-D_j^2varphi +Vvarphi ) is a well defined distribution.

This model essentially predicts a well defined distribution of topographic and amplitude signal as a function of frequency according to relation (8).

Since (a_j in L^2_{loc}), we have that (a_jvarphi in L^1_{loc}) so ((nabla _j-ia_j)varphi ) is a well defined distribution and it makes sense to say that it is in (L^2).

If p θ (P) and p ~ θ (P obs ) are well defined probability distributions it is straightforward to see that q θ (P) and q ~ θ (P obs ) are also.

Subject to certain conditions on the distribution of the random variable L, this stochastic process has a well defined stationary distribution whose skewness and variance are related by a term in θ (see Methods); for many cases the distribution is lognormal, as observed in our data (Figure 1).

For all operating conditions the width of the particle size distribution was found to decrease with crank angle until 61.4°aTDC, and thereafter it increases to reach a well defined size distribution for a given fuel injection quantity despite the differences in the injection timing.

Most of these putative species have well defined geographic distribution and are regarded as the geographic area's indigenous species [9], [10].