Sentence examples for minimal then the from inspiring English sources

If a genuine ground for doubt must be a proposition for which there is some evidence, however minimal, then the lack of any evidence for the proposition that he is insane would disqualify that proposition as a genuine ground for doubt.

If the degree of ventricular dysfunction is minimal then the heart is able to increase cardiac output in response to sepsis-induced decreased systemic vascular resistance and increased venous return, which result in the familiar hyperdynamic septic circulation.

After the attachment on the surface of the tumor cell, if the chemical concentration of peptide is minimal, then inject the drug through the nanocannula inside the cell.

If there are multiple α values for which the average loss is minimal, then α' is the one with the lowest model complexity.

Let N ⫅ M ⫅ M1 ⫅ M2 ··· be the Jones tower of basic extensions, and Ek: Mk → Mk − 1 be the dual expectation constructed canonically from the given E. We prove that, if E: M → N is minimal, then so is the composition E ° E1 ° ··· ° Ek: Mk → N. Some consequences of this result are also presented.

Thus we can assume that t ≥ 2. If the map u J is not left minimal, then, up to permutation of the indices, there are maps p i : M i → M 1 with 2 ≤ i ≤ t such that u 1 = ∑ i = 2 t p i u i.

As our study population developed breast cancer in 1992 and 1993 this was not relevant as use of the Internet was minimal then.

The housekeeping staff is minimal then and often nowhere to be found.

And if the customer isn't getting something amazingly minimal then it's only natural that they look to another trend that better suits their budget.

There was a minimal level of U.S.-Laos relations; the relationship is still rather minimal, but it was even more minimal then.

Since A is minimal, then A = A'.