Exact(21)
If (mathcal{A}) satisfies one of the following conditions, then (mathcal{A}) is positive definite: (i) all the conditions of Theorem 3; (ii) all the conditions of Theorem 4; (iii) all the conditions of Theorem 5; (iv) all the conditions of Theorem 6. .
N is uniformly positive definite i.e. N t ≥δ I m,0≤t≤T, a.s.s
Therefore (Omega_{2}) is negative definite, i.e., Omega_{2}< 0. (16) Based on (16), we can see that there exist (U=P>0) and (V=S+Q+R>0) such that LMI (8) holds.
We see that Θ is not negative definite, i.e., the conditions in Theorem 3.1 and Corollary 3.1 are not satisfied.
The inductive form of the sorites is ruled out in virtue of the fact that \(F x)\) is not a definite (i.e. non-vague) property of natural numbers.
If Q = ( q i j ) n × n is a symmetric matrix, then Q > 0 will imply that Q is positive definite, i.e., Q has all eigenvalues real and positive.
Similar(39)
For (X,Yin mathbf{H}_n), (Xge Y) indicates that (X-Y) is positive semi-definite; i.e., in the closure of (mathbf{P}_n), and (X>Y) indicates that (Xin mathbf{P}_n).
It has been shown [55] that kernels that are based on an optimal assignment are not in general positive semi-definite (i.e., their pairwise kernel-similarity matrix may have negative eigenvalues).
The century club, on the other hand, is a definite goal I think I could reach before 30 (I'm 25 now).
I couldn't pick one definite moment; I suppose Verbier was where I was happiest... 2007 was more improvised, something new perhaps, whereas this time I had greater expectations and there was more pressure.
"I can't say for definite that I would have stayed, but I am settled here, happy with the environment, the coaches are great to me and I've made some great friends.
Write better and faster with AI suggestions while staying true to your unique style.
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