Sentence examples for conditional upon the value of from inspiring English sources

It then follows that for any quantity X (of that system) at any time t, there will be at any other time t′, in particular any later time t′, a quantity X′ (to be precise: a partition of state-space) such that the value of X′ at t′ uniquely determines the value of X at t. Conditional upon the value of X′ at t′, the value of X at t will be independent of any value of any quantity at any time.

One could then state a common cause principle as follows: conditional upon the values of all the quantities upon which the transition chances to quantities X and Y depend, X and Y will be probabilistically independent.

Clearly, the magnitude of the marginal effect is conditional on the value of the independent variables.

The binomial distribution is now a conditional probability, given the value of r.

This risk is conditional on the values of the treatment-indicator variables T1, …,  T k.

Then, generically, D and E will be correlated conditional upon each value of C. To illustrate why this is so let me give a very simple example.

Suppose that quantity C is a common cause of quantities A and B, that the system in question is deterministic, and that the quantities a and b which, in addition to C, determine the values of A and B are microscopic and independently distributed for each value of C. Then A and B will be uncorrelated conditional upon each value of C. Now define quantities D A+B and E A-B.

The dependence parameter of the conditional copula possibly depends on the value of the covariate vector.

Since these correlations remain conditional on the full prior state (S1), there can be no quantity such that conditional upon a prior value of this quantity A and B are uncorrelated.

Because CQUIN funding is currently up to 1.5% of contract outturn value, conditional upon the achievement of quality outcomes specified in the contract, by achieving CQUIN goals healthcare professionals may be incentivised to adopt revised working practices in order to 'earn' extra monies at a departmental level in order to both improve their working practices and increase patient satisfaction.

The value of things are recorded, agreed upon, and irrefutable.