Properties of Binomial Expansion The first term and last term of the expansion areananandbnbn, respectively. There aren+1n+1terms in the expansion. The sum of the exponents ofaaandbbin any term isnn. The exponent ofaadecreases by11, fromnnto00. ...
a Bayesian framework that automatically annotates biological identity of spots in spatial transcriptomics using pre-defined marker lists. Pianno has the unique capability to automatically label patterns, including both anatomical structures and cell types, with just a few marker genes. This ...
Binomial expansion for saturated and symbolic powers of sums of ideals There are two different notions for symbolic powers of ideals existing in the literature, one defined in terms of associated primes, the other in terms of ... HT Ha,AV Jayanthan,A Kumar,... - arXiv e-prints 被引量:...
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in a population of the monogonont rotiferBrachionus asplanchnoidis. The effect on embryonic development time was mediated partly by an indirect effect (via egg size), and a direct effect, the latter indicating an increased replication cost of the larger amounts of DNA during mitosis. Our ...
of the derivatives of a signal additional results include a new peeling theory of smoothness leading to the extended notion of wavelet differentiability in the sense and a sharper theorem stating that smoothness implies order index terms approximation order besov spaces h lder smoothness multiscale ...
In return for taking on the risk and committing sizeable capital to the deal, Deutsche was paid a fee of 2% on the offering and an incentive fee of 10 basis points for every percentage point improvement above 6% on the pricing. 展开 ...
In terms of eomysticetids, taxa better represented in the fossil record have scores of + 3.16 for baleen filtration (e.g., Yamatocetus, Waharoa ruwhenua, and Maiabalaena) whereas taxa represented by more fragmentary remains have lower scores (i.e., +1.66 to +2.66), including Eomysticetus ...
The method retains a user specified number of terms from the appropriate binomial expansion. Jacobi's iterative method is then used to solve the set of nonlinear equations. It is hypothesized that keeping the higher order terms will improve the error identification for the same number of ...
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