This work presents an illustrative application of the second-order adjoint sensitivity analysis methodology (2nd-ASAM) to a paradigm neutron diffusion problem, which is sufficiently simple to admit an exact solution, thereby making transparent the underlying mathematical derivations.
It seems entirely possible that the general feeling on this point is well summed up by Frege who, in response to the question of 'what we are here calling an object', famously avers that he regards "a regular definition as impossible, since we have here something too simple to admit of logical analysis" (1960: 32).
That's when you realise a simple truth: admitting you don't know the answer, that's true confidence.
It is well known that λ1> 0, simple and admits an eigenfunction φ 1 ∈ W 0 1, 2 ∩ C 1 with φ1 satisfying φ1 x) > 0 for x ∈ Ω.
The simple fact, they admit, is that Yemen is running out of cash.Since 2011 attacks by tribesmen on an export pipeline linking the oil-rich Mareb province in central Yemen with export facilities on the country's west coast have cut off lucrative oil sales on the international market as well as the supply of cheap oil to Yemen's main refinery.
TPE-based detectors admit simple and efficient multistage/pipelined hardware implementation [18], which stands in contrast to the complicated implementation of matrix inversion.
This made his job simpler, he admitted, although he disagreed with the practice.
We take on all estimation possibilities starting with the simpler models that admit only one mixture of normals.
Many simple gene expression network topologies admit this behaviour, including a simple feedback loop with delay, and we note that even whole cultures can exhibit oscillations and deterministic chaos.
DOMESTIC DISTURBANCES It's hard to write about, even admit to, simple happiness.
