Sentence examples for long decreasing from inspiring English sources

The variant of the Mordell-Weil sieve explained in [10] provides a method to obtain a very long decreasing sequence of lattices in Z r B Z r = L 0 ⊋ L 1 ⊋ L 2 ⊋ ⋯ ⊋ L k. such that ȷ ( C ( Q ) ) ⊂ W + ϕ ( L j ). for j = 1, …, k.

Now, we use an extension of the Mordell-Weil sieve due to Samir Siksek to obtain a very long decreasing sequence of lattices in Z 2. After that, we apply Lemma 4 to obtain a lower bound for possible unknown rational points.

In particular, the authors found that, when lipid surfaces close up in a solute-containing solution to form vesicles, the entrapment frequency does not follow the expected Poisson distribution, but tends to assume a power-law behavior, characterized by many empty vesicles (no or very few trapped molecules), and a long decreasing tail with extremely crowded vesicles.

As predicted by Niimura and Nei [ 13], the quality of the second draft of the chicken genome increased and the number of short contigs that are few kilobases long decreased.

Similarly, the cycles (3) and (4) exist when the longest decreasing delay of per mRNA is not shorter than the shorter decrease of tim mRNA.

These experimental models are a paradigm for the well-established fact that an early full-term pregnancy in humans induces a life-long decreased risk for breast cancer.

This research was triggered in 2004 by the significant but only temporary, 2 3 months long, decrease of the accuracy of monthly solutions for the gravity field variations derived from GRACE.

The cycles (1) and (2) in this table must satisfy one: the longest decreasing delay of tim mRNA must not be shorter than the shorter decrease of per mRNA.

In particular, this result is highly important for setting kinetic parameters of continuous models as modeled by Leloup and Goldbeter [ 21]. (c1) shows that the longest decreasing delays of per and tim mRNA must not be shorter than five hours.

The long period decreases as crystallization proceeds, resulting in the formation of the regular long period of lamellar stacks.

Studies show that long hours decrease productivity, and increases the risk of making mistakes.