Sentence examples for I apart from from inspiring English sources

With the sample points s (i), the associated prior weights only become dependent on u (i) (apart from normalization) since w pr ( i ) ∼ e - 1 2 ( s ( i ) - z ̂ 1 ) ⊤ P z 1 - 1 ( s ( i ) - z ̂ 1 ) = e - 1 2 ∥ u ( i ) ∥ 2. and can therefore be precalculated.

I: Apart from freedom, what properties are held to be essential to God? II: What conception(s) of freedom govern the inquiry?

For example the weighted Spearman's rho is R w π, σ = ∑ i = 1 k w π 0 i π i - σ i 2 0.5, The weighted Spearman's rho square is R w 2 π, σ = ∑ i = 1 k w π 0 i π i - σ i 2, and the weighted Spearman's footrule is F w π, σ = ∑ i = 1 k w π 0 i π i - σ i. Apart from the weighted Kendall's tau [ 39] and weighted Spearman's rho square [ 40], many other weighted rank correlations have been proposed [ 41].

N i π i j, where π i, i = 1, 2, …, k! represents all possible rankings of the k items, N i is the observed frequency of ranking i, and π i (j) is the rank given to item j in ranking i. Apart from the mean ranks, the pairwise frequencies, that is, the frequency with which item i is ranked higher than item j for every possible C 2 k item pairs (i, j), are also often used.

I didn't feel I benefited apart from getting a drugged sleep.

For the first time, I had to consider who I was, apart from the system and my friends in it.

"But I needed to find out who I was apart from the mom or the girlfriend or the secretary.

"I am part of the business but I am apart from it.

A Hospital's Reputation Is Marred Apart from the doctors, Beth Israel was deeply damaged.

I needed to find some way to hear myself — figure out who I was apart from him and my grief.

I mean, apart from dear Feldy?