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The other two vectors form the difference vector that is added to the base vector.
We start with two weak solutions ( u 1, q 1, z 1 ) and ( u 2, q 2, z 2 ) of the initial boundary value problem (2.9 - 2.17) corresponding to the given data h 1 = h ( η ¯ 1 ), q in 1, q w 1, q out 1 and h 2 = h ( η ¯ 2 ), q in 2, q w 2, q out 2, respectively, and form the difference of the appropriate relations (2.21).
From analysis of a normalized form, the difference of the optimization design of PT junction between the bipolar and unipolar high voltage power devices is evaluated, and then a set of expressions of optimum base width and base doping for such both high voltage power devices are presented.
Finally, we demonstrate that keto-defects on the fluorene moiety of the F8BT phase, induced by photo-oxidation, causes a simultaneous increase of the intra-chain contribution and decrease of the inter-chain contribution to the electronic current density, whereas in the reduced form the difference between both contributions is significantly smaller.
This finding is quite important, as it suggests that the general shape of the CSL and NCL is similar for all types of soils in this normalised space, and it can be represented using a similar mathematical form; the difference lies only in the value of the normalising parameters i.e. the initial void ratio e o for the normal compression line and e c for the critical state line.
This form has the same unit cell dimension along c-axis and macromolecular chain conformation as the α form, the difference lying in the interchain packing alone.
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The global-bias diffusion operation is used to form the differences of estimated reconstructed residuals associated with the unsampled vertices in the local region.
Besides, the global-bias component is also used to form the differences among the graph signals associated with the unsampled vertices, since the local-mean component assigns the same value of reconstruction residuals from the sampled vertices to their adjacent vertices.
Forming the difference signal between opposite segments provides a measure of beam deflection, which can be used to form an image of electric or magnetic fields.
But these methods are not designed for monopulse beamforming and are not suitable for forming the difference beams of subarray monopulse.
Using Equation 2 for two receivers, denoted A and B, and forming the difference result in the single difference equation for each epoch λ i Δ Φ AB j = Δ ϱ AB j + cΔ τ AB + Δ Z AB j - Δ I AB j + λ i Δ N AB j (3).
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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