By combining this result with the well-known time-scaling transformation, we obtain an equivalent transformed problem that can be solved using standard nonlinear programming algorithms.
The equivalent (transformed) permeability coefficients are incorporated in finite element codes, employing modified Cam-clay theory.
Finally, an equivalent transform from a three-terminal TML model to a simple Y-circuit was calculated.
Therefore, for any feasible q d, the corresponding solution of subproblem (P2-1) can be obtained by solving the following equivalent transformed optimization subproblem (18): begin{array}{l}underset{P_s,{P}_d}{ max}kern0.5em {eta}_{d,mathrm{S}mathrm{E}}left {P}_s,{P}_dright -{q}_d{P}_{d,{P}_dright -{q}_d{P}_{ds,mathrm{total}}left {P}_sthrm{t}.kern0.5em {C}_3,{P}_dright5end{array} (18).
These equivalent transforms can guarantee that the optimal power allocation P∗(t) of problem P4 is the same as that of problem P2 at any slot t.
Use of this latter set is equivalent to transforming the infinite domain to a finite one with a cotangent mapping, and using cosine and sine expansions in the mapped coordinate.
For any NCF L this is equivalent to transforming L to a new function L′ such that: The first part of our dynamic program is a forward step, in which we compute two sets of random variables: { F i Nuc } and { F i Bg } (1 ≤ i ≤ N).
This, combined with a meta-analysis of UK and US programs that showed equivalent results, transformed Burns from an enthusiastic supporter of AOT to a vocal critic.
Mathematically, it is equivalent to transform the original Markov process to a new stochastic process (that is not necessary Markovian) defined on a new network state space.
Although trisomic BG01V APCs were derived from multipotent neurospheres that give rise to oligodendrocytes or neurons under different culture conditions (Gopalakrishna-Pillai and Iverson, unpublished), it is also incorrect to consider BG01V APCs equivalent to transformed neural stem cells.
