Each term in the product consists of three factors: one from each binomial.Note that there are a total of 2³ or 8 terms. In general:Multiplication of n binomials produces 2n terms.For multiplication of two binomials gives 4 terms:...
A binomial expression is defined as a mathematical expression that consists of two terms. Furthermore, these two terms must be separated by either addition or subtraction. To add the binomials, combine equal terms to obtain an answer. The distributive property should be used to multiply the bino...
How many items would have to be produced in a batch to guarantee that a batch consists of no more than 1% defective items? When you sum up 30 or more independent random variables, the sum of the random variables will usually be approximately normally distributed, even if e...
Intra-individual processes are thought to continuously unfold across time. For equally spaced time intervals, the discrete-time lag-1 vector autoregressive (VAR(1)) model and the continuous-time Ornstein–Uhlenbeck (OU) model are equivalent. It is expect
Constraint-based metabolic models have been used for decades to predict the phenotype of microorganisms in different environments. However, quantitative predictions are limited unless labor-intensive measurements of media uptake fluxes are performed. We
The comparison of the performance of two binary diagnostic tests is an important topic in Clinical Medicine. The most frequent type of sample design to compare two binary diagnostic tests is the paired design. This design consists of applying the two bin
The (deterministic) set membership estimation problem, see Bravo et al., 2006, Puig, 2010 and Vicino and Zappa (1996), consists of computing the set of parameters θ that satisfy the constraint |y−θTφ(x)|≤ρ for all possible values of (x,y)∈W. In the literature, this set is...
Developmental control of gene expression critically depends on distal cis-regulatory elements including enhancers which interact with promoters to activate gene expression. To date no global experiments have been conducted that identify their cell type a
Generations are discrete, and the life cycle of each deme consists of two consecutive phases: a reproductive phase and a seed phase. During the reproductive phase random pollination, pollen migration and zygote forma- tion occur. Each new seed that is formed contains a maternal allele inherited ...
This motivation raises the general question of how to test a set of markers that may be biologically related but not correlated via linkage disequilibrium. Possibilities include multivariate techniques such as the F test or multiple regression. However, these techniques can also lose power due to ...