1. This kind of property is usually the one that auxiliary functions satisfy. 2. A common, useful modification to the partition function is to introduce auxiliary functions . 3. The secondary Auxiliary function serves to support and expand on the Dominant function. 4. The remaining ?, ?2? and ? subunits have auxiliary functions . 5. Moreover, "'div "'is an auxiliary function that computes the quotient of the Euclidean division. 6. Beside the dominant function, there is the auxiliary function . 7. Surrounded by 13 landscaped acres, it offers dental programs, laboratories, imaging centers, and auxiliary functions . 8. From then on, women were only allowed to perform auxiliary functions in the insurrectionary troops. 9. These Batarangs come with a range of auxiliary functions , such as producing electric shocks or explosions. 10. The auxiliary function y ( r ) is known as the " cavity distribution function ".