auxiliary function in a sentence

Examples

1. The oversized organization was streamlined and stripped of auxiliary functions that were delegated to Dalstroy ( land facilities ) and Gostorg ( foreign trade ).
2. The proof technique was the construction of an auxiliary function in several variables, leading to a contradiction in the presence of too many good approximations.
3. However, as Mback?lies beyond Touba's sacred precincts, it fulfills certain auxiliary functions, such as public administration and secular entertainment, forbidden in that holy city.
4. Because of the naming convention mentioned above, auxiliary functions can be dated back to their source simply by looking at the earliest results in transcendence theory.
5. For example, if dominant function is extraverted intuition, then auxiliary function can be introverted thinking or introverted feeling ( there are 2 types with dominant extraverted intuition ).
6. Later in the book, Jung describes the auxiliary function as being capable of some significant development or differentiation, if it remains less differentiated of that of the primary.
7. The second case ( factorials and roots ) is treated with the help of an auxiliary function, which is invoked every time a value " v " is recorded.
8. The generating functional Z [ J ] can be used to calculate the above path integrals using an auxiliary function J ( called " current " in this context ).
9. I take him to mean that their auxiliary functions will be the products of their obligations thus undertaken to support Federal law, not of their own, or the states', unfettered choices.
10. The right hand side is an integer and so, by estimating the auxiliary functions and proving that 0 < | " R " | < 1 he derived the necessary contradiction.