Whatever the intentions of diplomats and scientists, the fact remains that the science is surging exponentially, popular understanding of it is advancing linearly at best, and the regulatory framework surrounding it is only creeping forward glacially.
While leaf emergence dates in spring advanced linearly with temperature, reaction norms for leaf senescence in fall were nonlinear with the greatest longevity of leaves in intermediate thermal environments.
In moderate-to-severely affected embryos at 48 hpf, the pronounced body axis abnormalities (Figure 4H J) lead to uncoordinated twitching or gyration when touched, while larvae injected with control scrambled MO rapidly advance forward linearly [40].
Circulating endotoxin, lipopolysaccharide binding protein, haptoglobin, serum amyloid A, and lymphocytes increased or tended to increase linearly with advancing FR.
Recent theories of psychology articulate the importance of identifying these sometimes unpredictable but potentially rewarding moments of change, and jumping on these opportunities to non-linearly advance your professional life.
With the consideration that the retailer 1's demand due to advance sales discount program and the fraction of other retailers' customers who switch to retailer 1 under advance sales discount program are linearly increasing with retail price discount r, let ( Y_{1} (r) = alpha cdot r ) and ( Y_{2} (r) = beta cdot r ) as in Tsao (2009).
With the consideration that the retailer 1's demand due to advance sales discount program and the fraction of other retailers' customers who switch to retailer 1 under advance sales discount program are linearly increasing with retail price discount r, let Y1(r) = α.r and Y1(r) = β.r as in Tsao ([2009]).
Equation (1) implies mathematically that the 'edge' of the visible tumour advances asymptotically as a 'traveling wave,' (Swanson, 1999) which expands radially and linearly, according to Fisher's approximation or Skellam's model (Shigesada and Kawasaki, 1997):.
Alternative approaches with simpler (non-model-based) scoring functions [ 10] are handicapped by the need to do expensive permutation-based statistical testing to evaluate the significance of alignments, and although recent advances have made this testing more efficient [ 15], it still scales linearly with genome size.
The chief advance was the demonstration that the different factors, now renamed "genes" were linearly arranged along bodies in the nucleus of cells, the chromosomes.
