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"Just because I'm asking people their stories doesn't mean that I'm singular in the fact I encounter people every single day that need help, and I cannot give it to them".
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In the estimated demand system, the rest of the world (RoW) equation was omitted because the variance-co-variance matrix of (ε i ) is singular and parameter estimates are invariant to the omitted equation.
If the singular values are non-degenerate, then their corresponding singular vectors are unique up to the sign, i.e. if u i and v i are singular vectors, then − u i and − v i produce the same results.
Lemma 2.3 For any u = ( u 0 ; u ¯ ) ∈ R × R m − 1 with ∥ u ¯ ∥ ≠ 0, the matrix P ( u ) is nonsingular and P ( u ) − I is singular.
"I think it was singular, something that was there and was gone," he said.
"I wouldn't say it's singular in this industry, but it doesn't take long to call roll".
I had studied the organic unit, the cell, because I was curious about how singular characteristics could account for such diverse structures as hair and bone.
In (37) and (38), λ i 's are singular values of G which are independent of ρ.
But one company we've funded that I thought was singular was CompleteSpeech.
It's a very specific and mysterious dynamic that I think is singular to, or at least magnified on the subway.
The quantities S i are called singular values of the matrix D. The singular values contain very valuable information about the properties of the matrix [9 11].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com