Sentence examples for expands above from inspiring English sources

Messier et al. (1996) observed that once a tandem repeat expands above a threshold size (4 5 repeats for di- and 2 for tetranucleotide microsatellites, respectively), it exhibits a high degree of variation in repeat numbers among primate species.

Considering (7), we expand the above equation to (14).

Expanding the above equation, we will derive (6).

Considering the framing information, we can expand the above four transition into eight transitions ; ; ; ; ; ; ;.

Expanding the above results, we can obtain the end-to-end SINR of multihop AF relaying (7).

Liu et al. (2010) expanded the above approach by applying the structural decomposition analysis (SDA) to see the dynamic structural changes in China.

By expanding the above equation and eliminating the unknown β, two equations are obtained in the unknowns X o,l,Y o,l,Z o,l.

As the installed capacity of wind power generators keeps on expanding, the above mentioned benefits and contribution would become more and more obvious and outstanding.

Expanding the above equation and comparing the corresponding coefficients, we get ( A − 2 i ω 0 I ) w 20 = − H 20 , A w 11 = − H 11.

Other references list four to eight "meta-groups" of Christians, expanding the above list to include Eastern Orthodox, Oriental Orthodox and Assyrian, Restorationist, and Pentecostal movements as separate groups.

By expanding the above equation and neglecting its higher order terms, the final equation for mass perturbation matrix can be formulated as follows: φ u T Δ M φ u = - Δ φ T M u φ u - φ u T M u Δ φ (25).