Sentence examples for sufficient assumptions for from inspiring English sources

Sufficient assumptions for the identification of the TCE are: (T.1) Consistency of X on Y: if.

The extent to which these sufficient assumptions hold or do not hold in GWAS data is currently unknown, however we provide below some facts that allowed us to conclude that these are reasonable assumptions for this type of data.

One may see that those three assumptions are given in the sense of probability, but the existing sufficient conditions for Assumptions 4.1 and 4.2 are all in moment.

These serve as baseline assumptions for the model parameters, and sufficient data to the contrary will pull the estimated parameters away from these assumptions.

Examining the mean behavior of (10) under the above assumptions, sufficient conditions for convergence of the proposed algorithm in-the-mean can be derived and are stated as follows.

7.1 Important Assumptions Our plan is based on the following key assumptions for our U.S.-based, New York corporation: Sufficient access to capital.

We identify a robust monotonicity condition that is necessary and (with mild extra assumptions) sufficient for robust implementation.

Thus, the assumption for sufficient data sharing in each round does not hold.

Using the protocol for the high temperature step suggested by the polymerase manufacturer is likely sufficient for this assumption to be valid.

Upon making some appropriate assumptions, some sufficient conditions for the existence of mild solutions for the fractional functional differential Eq. (1.1) are given.

Our purpose in this paper is to establish some results concerning the existence and uniqueness of weighted Stepanov-like pseudo-almost automorphic mild solutions for equations that can be modeled in the form (1). Upon making some appropriate assumptions, some sufficient conditions for the existence and uniqueness of weighted Stepanov-like pseudo-almost automorphic mild solutions to (1) are given.