where θ 2 = ( β + 1 ) 2 ρ 2 + σ 2. Since, for a given variance, the Gaussian distribution has the maximum entropy, the above lower bound is the lower bound for the sum capacity of any system with near-far variance equal to ρ2.
It is a valid question, and I can only reply that after my father's death, my life oscillated between worlds so far at variance with those in the books I had read that I found a new meaning to that "Life is real!" maxim.
The remaining three factors explained far less variance in the structure of predatory fish communities.
Models for plant height in the tropical environment (HT-MX) explained far less variance.
The other two correlation columns (" N=36"), consider each GC-MS measure on an independent cohort of nematodes as one data point, since these lipid quantitations had far higher variance than did relative lifespan.
So far, only the variance information has been exploited in designing different noise-reduction filters while the pseudo-variance has been neglected.
By far the most variance occurs at the individual level (72%).
Design lh clearly scored best with regard to U, but had by far the largest variance of e.
where I is the noise free solution(ground truth) and o(N) denotes the remaining noise with the variance far less than the variance of the noise N. Let F k =1/ζ uv (1−(1−β|ζ uv |2) k ) be the noise amplification factors for k=1,2….
The condition (6) implies that remaining noise o(N) has a variance far less than the initial noise N after applying the operator R N on a noisy image.
For centroid size, however, the among-individual variance far exceeds the theoretical minimum and, in all but a few genotypes, is much greater than FA (Fig. 2C), indicating that such environmental heterogeneity is a major factor for size variation.
