Sentence examples similar to the process of binomial expansion from inspiring English sources

Thus, factorial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7. Factorial zero is defined as equal to 1. Factorials are commonly encountered in the evaluation of permutations and combinations and in the coefficients of terms of binomial expansions (see binomial theorem).

The process of VHSV range expansion is not understood.

The process of expansion is visualised in Fig. 7 which displays two examples of different complexity.

He gives the first non-inductive proof of the binomial expansion for integer exponent using combinatorial arguments.

For further mathematical detail, including an explicit formula for the kth term of a binomial expansion, see binomial theorem.

After the expansion process of finding strong modules, the process of forming final clusters starts.

The expansion of milling and industry at the falls accelerated the process of erosion.

For example, the mean deviations of the GW-SL distribution are determined immediately (by using the generalized binomial expansion) from the function begin{array}rcl@ T_{k+1} z)=frac{1}{Gamma z)}sum_{m=0}^{infty} frac { -1)^{ -1Gamma(k+m+1),left[1-exp(-m z)right]}{(m+1)!}.

The number of unique combinations n possible for a given number of samples s in an archive is obtained by binomial expansion: After generating n combinations, we computed the mean (μc) and standard deviation (σc) of the offsets for each combination.

We consider the binomial AR(1) model for serially dependent processes of binomial counts.

Consequently, using the binomial expansion, we can obtain the CDF of (gamma _{min {mathcal {R}}}).