Sentence examples for empty products from inspiring English sources

Since empty products equal 1, then Theorem 1.1 shows that lim q → − 1 ( f ( q ) + b ( q ) ) = 4. (5).

(2) Since empty products equal 1, then Theorem 1.1 shows that lim q → − 1 ( f ( q ) + b ( q ) ) = 4. (5)   (3) Zudilin [14] has given an elementary proof of Theorem 1.1 by using Dyson's rank function and the Andrews-Garvan crank function in his recent work.  .

Luckily, many brands...have found creative ways to reduce that number--by rewarding you with a new product or a discount toward your next purchase when you recycle your empty products". At TerraCycle, we've developed a great deal of first-hand experience in the sustainability of consumer products, and have seen companies on every point of the spectrum.

Empty products in this likelihood are defined to be one.

Pfizer hoped the mergers "would magically fill empty product lines," Dr. Wolfe said.

Results: Of 166 dispensers, 2% were broken, 7% had no product container, 5% had an empty product container, 9% contained product but were totally obstructed, and 77% were functional.

The only things here were the glossy magazines that advertised the latest styles, empty product bottles, which Mama would fill with scented water and try to sell, and hair.

An empty product in (1.18) is interpreted as unity.

In the integrand, an empty product is interpreted as unity.

Nor is it another MG Rover, with obsolete factories and vehicles and an empty product pipeline.

Here the empty product is again equal to 1 in case d = 2.