Sentence examples for ls I from inspiring English sources

In each iteration, the tap values are obtained from H ̂ LS i p = H i p + ν i p = F ~ · h t + ν i p (93).

From (8) it is observed that as f D T → 0, the desired result lim f D T, σ 2 → 0 C ^ d, k ( 2 - O ) WF - LS ( i ) ≈ C ^ d, k Linear ( i ), i = 0, 1 (9).

When SNR → ∞, that is, when σ2 → 0 (i.e., in the absence of noise), and inserting (6a) and (6b) into (7a) and (7b), respectively, then the relationship between the coefficients of WF-LS with orders 2 and that of linear interpolation can be obtained as C ^ d, k ( 2 - O ) WF - LS ( i ) - C ^ d, k Linear ( i ) = π 2 f D 2 T 2 ( d - p 0 ) ( p - p 1 ) - 2 + π 2 f D 2 T 2 ( p 0 - p 1 ) 2. (8).

Within the data analysis, we test for linear relationships between spore production per lesion (α i in the model) and lesion size (LS i in the model).

So, to avoid negative as well as unrealistically high values, the relationship between spore production per lesion per unit time, α i, and lesion size, LS i, is modelled by a sigmoid-shaped Gompertz curve (Fig.  3A,B).

The below equations describe the nonglycosylated part: Here LS i represents the mean value life span for the ith individual, η i is the individual deviation from the population, normally distributed with a mean of zero and a standard deviation of 0.29 (as previously reported).

(2) Posterior odds of k th hypothesis on q th stage are (19) O (h k (q )   ∣   x (or ) e ) = [ ∏ i = 1 N L i ] O (h k (q ) ).   x : evidence is certain;   e : evidence is uncertain;   L i : LS i  {likelihood of sufficiency}   L i : LN i  {likelihood of necessity}   L i : 1 {evidence is unknown}.

Posterior odds of kth hypothesis on qth stage are (19) O (h k (q )   ∣   x (or ) e ) = [ ∏ i = 1 N L i ] O (h k (q ) ). x: evidence is certain; e: evidence is uncertain; L i : LS i  {likelihood of sufficiency} L i : LN i  {likelihood of necessity} L i : 1 {evidence is unknown}.

The (2+1 -dimensional LSRI equation can be written as S_{xx}-LS-i(S_t+S_y)=0 (33) L_t-(2+1 -dimensionalere LSRId S dequatione long interfacanl wave and the short surface wave packets, respectively, and S* is the complex conjugate of S. This system describes the long and short writtenopasation at an angle to each other in a two-layer fluid.

Thus, we can write (6) as follows F LS = ∑ i = 1 3 α i f i (12).

In fact, this correlation approach is optimum in a least squares (LS) sense boldsymbol{h}_{text{LS}}^{(i)}=underset{boldsymbol{h}}{text{arg min}}, | boldsymbol{y}^{(i }-boldsymbol{R}boldsymbol{h} |_{2}=left(underbrace{boldsymbol{R}boldsymbol{R}^{H}}_{Lboldsymbol{i }-boldsymbol{ boldsymbol{R}boldsymbol{hbol{y}^{(i)}~. (40).