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A classic example is the following: the gold in this gold ring is that discontinuous part of the total mixture in which gold predominates.
A discrete-time sliding mode controller which consists of discontinuous part and equivalent part is then designed by considering the separation principle.
We derive a second-order scheme using a splitting of the porosity function into a discontinuous and a regular part where the regular part is treated as a source term while the discontinuous part is treated with the nonconservative fluxes.
This paper proposes an improved sliding mode control strategy in which a modified sliding condition in a continuous function in control signal is taken into account instead of discontinuous part and also it adds an auxiliary continuous control to the control input.
The second performance function is related to the discontinuous part of the performance (i.e. the failure domain consist of area A3 in Fig. 5(b)).
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(If the affix is put in front of the base, it is a prefix; if it is put after the base, it is a suffix; and if it is inserted within the base, splitting it into two discontinuous parts, it is an infix).
Altogether, our results show that it is possible to design antibody-reactive peptides from discontinuous parts of scorpion toxins.
The primary sequence-level domains of the PI-II peptide interact to form double-headed proteins although the two primary domains can be encoded from two discontinuous parts of the gene [13], [15], [17], [20].
The continuous and discontinuous parts respectively of the function are considered separately to estimate accurately the gradients of the failure events.
A similar pattern was encountered in natural populations of Sonoran Desert cactus (Lophocereus schottii L). submitted to an historical vicariance (induced splitting of population, into discontinuous parts, by sea) (Dyer and Nason 2004).
Write out the sum of the Laplace transforms of each part of the discontinuous function, using the limits specified, rather than the usual 0 to ∞. Write out the sum of the Laplace transforms of each part of the discontinuous function, using the limits specified, rather than the usual 0 to ∞. Calculate the Laplace transforms as shown above.
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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