The possible signal deviation due to parameter variations and order of multiplications can be computed using this ratio measure[3].
When we proceed to the more difficult case of heterogeneity in birefringence, the order of the multiplication will determine the final outcome, and hence the inhomogeneous matrix Mk will not follow the form of Eq. (17).
(6) and (13), it can be shown that the order of the multiplication in Eq. (6) is not important; that is the order of applying scattering or retardation over short pathlength dz will not change the total result on the photon.
Therefore, Eq. (13) can be rewritten as Using Eq. (14) in Eq. (5), The reverse order of the multiplication in Eq. (15) is equal to a change of reference from (x,y,z) to (x,-y,-z), changing the extraordinary axis from θ in the old coordinate to θ in the new coordinate and switching the input/output plane as shown in Fig. 1.c relative to Fig. 1.a).
With the "no partial amount" style of problem, the order of the multiplication does not matter.
Learn the acronym FOIL to remember the order of binomial multiplication.
Consider the Banach algebra (mathcal{A} = {a = (a_{ij})_{ntimes n} : a_{ij}inmathbb{C}, 1le i,j le n}), with e being the identity matrix of order n, multiplication defined as ordinary matrix multiplication and (|a| = sum_{i=1}^{n} |a_{ij}|).
For example, many of us will have used the word BIDMAS or BODMAS in mathematics to help us remember the order of operations (Brackets, Indices, Division, Multiplication, Addition and Subtraction).
In particular, to recover differences in patterns of infection among hosts, the rank order of the parasite variants' baseline multiplication factors differed between hosts (i.e. the fastest growing variant in one host was not the fastest growing in all hosts, Molineaux et al., 2001).
When doing this be careful that you follow reverse order of operations: Subtraction, Addition, Division, Multiplication, Exponents, Parentheses.
