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In addition, there exist multiple endocrine deficiency disorders (polyglandular autoimmune syndrome), in which affected persons have deficiencies of multiple endocrine glands caused by autoimmune destruction of the glands.
In the structural reliability analysis, there exist multiple failure modes.
This is interesting because in Italian, there exist multiple words that refer to regret and disappointment.
Then and for each, there exist multiple positive solutions of problem (1.6a - 1.6b).
(ii) Is the NE unique or there exist multiple NE points?
a no conductive path exists; b a single conductive path exists; c there exist multiple conductive paths.
Then, with given by (2.48), and for each, there exist multiple positive solutions of problem (1.6a - 1.6b).
The results of the study showed that in addition to the disease-free equilibrium there exist multiple endemic equilibria for the model reproduction number below unity.
Compared to Lyapunov's stability theory, it may be a more powerful tool in cases when searching a Lyapunov functional is a difficult task or when there exist multiple equilibrium points, [1, 12].
Unlike the widely existing H2/H∞ filtering methods under single (i.e., wired or wireless) network with single channel environment, there exist multiple event-generators and different network-induced delays in hybrid wired wireless networks, which make H2/H∞ filtering analysis and design more complex.
Solving (17) via the Karush Kuhn Tucker (KKT) conditions, one can show there exist multiple optimal solutions for x t which must satisfy x t 2 + ( y t − y r ) 2 − x r 2 = 0, A 1 x t + b 1 ≤ 0 A 1 : = − ( D 2 + D y ) x r D y − x r, b 1 : = − x r ( D 2 + D y + y r ) x r ( D y + y r ).
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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