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Let us now calculate the sum of orders of ({text{M}}_{text{a}^prime}).
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In Fig. 1, total order cycle (T) is equal to the sum of order cycles of every supplier (T i ) and at the time one supplier's inventory is used up, the next supplier's shipment would arrive in.
In the ψ-direct sum X ⊕ ψ Y of Banach spaces the Minkowski inequality holds, i.e., we have the following: Let A and C be Banach spaces and let f 1 = ( a 1 1, a 2 1 ), f 2 = ( a 1 2, a 2 2 ), a 1 i ∈ A, a 2 i ∈ C, i = 1, 2. Then f 1 + f 2 A ⊕ ψ C ≤ f 1 A ⊕ ψ C + f 2 A ⊕ ψ C. Let us improve that idea to the sum of ordered spaces.
The outer product of two tensors is another tensor, the order of which is given by the sum of the orders of the two former tensors.
The number of "incident pi bonds" is the sum of bond orders of explicitly connected atoms minus the "explicit degree".
From the consequence of the distribution of zeros of a transcendental function given by Ruan and Wei [20], we know that as τ varies, the sum of the orders of the roots of (3.13) in the open right half plane can change only if a zero appears on or crosses the imaginary axis.
As ((tau_{1},ldots2},tau_{m}au_{m})) vary, the sum of the orders of the zeros of (P lambda,e^{ - lambdatau_{1} },ldots,e^{ - lambdatau_{m} } )) in the open right half plane can change only if a zero appears on or crosses the imaginary axis.
The variable authoritarian leadership style is the sum of coercive (orders, commands) and educating (transferring knowledge) turn-constructional units.
This expression affirms that the cross-correntropy is sensitive to the sum of second-order moment and higher-order moment of the difference variable.
The changes of phase relaxation rate (1/ TM) of the FeS cluster between 12 and 26 K were approximated by fitting the third order of polynomial to the dithionite-reduced sample or the sum of third order polynomial and Lorentzian function to the ascorbate-reduced samples.
Later on, they proposed another cost function as the sum of fourth order cross-cumulants.
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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