Bioperation approach to Przemski’s decomposition theorems

non-corrective approach to pronunciation

the aim of this study has been to find answers for the following questions: 1. what is the effect of immediate correction on students pronunciation errors? 2. what would be the effect of teaching the more rgular patterns of english pronunciation? 3. is there any significant difference between the two methods of dealing with pronuciation errore, i. e., correction and the teaching of the regular ...

Partial-Fraction Decomposition Approach to the M/H2/2 Queue

Here, a two server queueing system with Poisson arrivals and two different types of customers (M/H2/2 queue) is analyzed. A novel straightforward method is presented to acquire the exact and explicit forms of the performance measures. First, the steady state equations along with their Z-transforms are derived for the aforementioned queueing system. Using some limiting behaviors of the steady-st...

On Ritt’s Polynomial Decomposition Theorems

Ritt studied the functional decomposition of a univariate complex polynomial f into prime (indecomposable) polynomials, f = u1 ◦ u2 ◦ · · · ◦ ur. His main achievement was a procedure for obtaining any decomposition of f from any other by repeatedly applying certain transformations. However, Ritt’s results provide no control on the number of times one must apply the basic transformations, which ...

Decomposition theorems for linear programs

It is well known that any feasible arc-flow solution to a network problem defined on a graph G = (N,A), where N is the set of nodes whereas A is the set of arcs, can be expressed using at most |A| + |N | paths and cycles having nonzero flow, out of these, at most |A| cycles. This existence theorem is used in a number of proofs establishing the complexity of strongly polynomial algorithms for ne...

Decomposition Theorems Applied to Random and Stationary Radar Targets