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Theorem 3 All the state components x i ( t ) of system (1) with Mexican-hat-type feedback function (8) in case 1′, i ∈ N 3, will flow to the interval [ 3, + ∞ ) when t → + ∞. Proof Deliver it in the following two cases. Case A x i ( 0 ) ∈ [ 3, + ∞ ).
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In these bubbles, an army of originally skeptical investors succumbed to the "proof" delivered by the market, and the pool of buyers – for a time – expanded sufficiently to keep the bandwagon rolling.
Brown, recently seen on stage as the spectral father in the playhouse's excellent production of "Proof," delivered "a performance marked by powerful volatility," as stated in this column's review in October.
Theorem 1 All the state components x i ( t ) of system (1) with Mexican-hat-type feedback function (8) in case 1′, i ∈ N 1, will flow to the interval ( − ∞, − 1 ] when t → + ∞. Proof We deliver it in the following two cases due to the different location of x i ( 0 ).
The Hyperion IID platform proofs to deliver good timing performance outside and inside an MR. The CRT is not influenced (<0.2%) using normal MR imaging sequences.
He makes assertions with the scantiest of proof, but delivered with utter certainty.
Moreover, increasing proof mass delivers a wider bandwidth at the cost of peak normalized power.
When unions shed their government protections and we unshackle ourselves from what is essentially government-sponsored labor overregulation, they will succeed in re-engineering their business model so that the proof of delivering value will be robust voluntary membership.
The first three-dollar pieces were 15 proof coins, delivered to the Secretary of the Treasury, James Guthrie, by Mint Director Snowden on April 28 , 1854 most likely for distribution to legislators.
And when you are selling a promise you need proof you can deliver.
There has been so much talk these past days about the need to deliver proof to the doubters, and conspiracy theorists.
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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