Sentence examples for uniform dimension from inspiring English sources

Thus by the inductive hypothesis, (N) has finite uniform dimension.

Thus (N oplus U) is a submodule of (M) of uniform dimension (m + 1).

Then (M) has finite uniform dimension and u.dim((M) le ) c.u.dim((M)).

Therefore (I) is finite and (R) must have finite uniform dimension.

There exist modules of infinite couniserial dimension but of finite uniform dimension.

It is enough to show that (R) has finite uniform dimension.

To be sure, the Cardinals and the Atlanta Braves have rejected the irregular in favor of uniform dimensions.

Using fabrication techniques adapted from the microelectronics industry, the researchers made thin sheets of a polymer known as biorubber, patterned with microscale rectangular holes of uniform dimensions.

In both the cases, nanoclusters of larger and more uniform dimensions are formed at higher temperatures.

A 3 × 3 disk microelectrode array and a 5 × 5 cylindrical microelectrode array with uniform dimensions were then fabricated using the optimized cathode.

Experiments were thus carried out using metallic paint sprayed on the steel, with uniform dimensions, mimicking the real paint coatings on the products.