Sentence examples for derived without from inspiring English sources

As a result, optimal replenishment lot size and a simplified optimal production-inventory cost formula for such a particular EPQ model can be derived without derivatives.

The scientific journal Nature has issued a clarification of a recent report that human embryonic stem cells can be derived without harm to the embryo, but has affirmed the report's validity.

(Moreover, if we hope to find ways to dedifferentiate adult cells -- and therefore learn to recover the requisite flexibility from cells derived without offense to anyone -- then we must experiment with embryonic cells in order to understand and control the mechanism of their broad potentiality).

Her book tells the story of how the first immortal human cell line was derived without consent from an African-American woman more than 60 years ago, and how bioethics standards have evolved since then.

The full text of the Amendment is: The Congress shall have power to lay and collect taxes on incomes, from whatever source derived, without apportionment among the several States, and without regard to any census or enumeration.

The Congress shall have power to lay and collect taxes on incomes, from whatever source derived, without apportionment among the several States, and without regard to any census or enumeration.

Thus the model's error is derived without these samples.

The present result may be derived (without appealing to countable additivity) as follows.

It turns out, however, that the principles of arithmetic can be derived without Frege's definition.

Independently, the bounds for the asymptotic sum channel capacity were derived without using the replica method.

Equations 6-8 have been derived without making any assumptions about the paint rheology.