Examination of the sampling distributions of bootstrap means for nematodes indicated that distributions could reasonably be assumed to be approximately normal with approximately equal variance, allowing for two-sample t-tests between controls and each chemical/food condition.
Observing that σ εi and ∥y(x i )−μ i 1∥ are approximately constant for such small changes of x i (as the pattern is assumed to be approximately centered in the patch, with some background space around it), the optimization functional can be simplified to obtain the following estimate: x ̂ i ≈ arg max x i cos ∠ p 0, y ( x i ) − μ i 1 (16).
where b is the magnitude of the Burgers vector (approximately 0.3 nm), G is the shear modulus of the GaSe thin film (approximately 25 GPa), v film is Poisson's ratio (assumed to be approximately 0.25), and r core is the radius of the dislocation core.
For the cloud base pressure error, the standard deviation of the logarithm of the cloud base pressure is assumed to be approximately proportional to the geometrical thickness of the cloud, which is approximately proportional to ln(P bas/P top), as sigma ={S}_{mathrm{bas}} ln left(frac{P_{mathrm{bas}}}{P_{mathrm{top}}}right), (14).
The results of the estimation would have approximately the same value:, (if the channel gains of the two frequencies are assumed to be approximately the same as for regular applied systems).
Entries of H1 are assumed to be approximately 1 d α C N ( 0, 1 ), and entries of H2 are assumed to be approximately 1 ( 2 − d ) α C N ( 0, 1 ), where α is the path loss exponent and d is the normalized distance.
Globally, if recharge can be assumed to be approximately 20% of precipitation, then deep percolation would be about 10% of recharge.
An unknown function of nonlinear term of the objective system is assumed to be approximately represented by an RBF network.
For the cases investigated, the hot and cold sections were assumed to comprise approximately 30% of the vertical walls.
