Sentence examples for by the same formulas from inspiring English sources
end{aligned} Summarizing, (m^{ q)}) can be, in all cases, computed by the same formulas (3.1) whenever (|q|leq operatorname{ind}(m)).
Define w = lcm ( u, v ), u, v ∈ C ( X ) and the general composition ( f, g ) w for f, g ∈ k C ( X ) and w = lcm ( f ¯, g ¯ ) by the same formulas as above.
Many studies have shown age-based formulas to underestimate weight in first-world populations [45 47], but studies in low- and middle-income countries have shown a significant, potentially dangerous overestimation of weight by the same formulas [48 50].
Therefore, the steady-state probabilities of j SUs in the system P i, j, min j, N - R nonpre can be derived by the same formulas as (2) and (3).
In other words, we have the following formula for the worst-case execution time until the kth instance: tau_X k,alpha,beta) = k cdottau_X(1,alpha,beta), where τ X (1,α,β) is given by the same formulas as in Sect.
The safety effects of modal change (Mechanism 7) were calculated by using the same formulas as for the change (increase or decrease) in the exposure of vulnerable road users (Mechanism 6).
This formula would then be expanded over time, surrounded by the same formula in a smaller form.
This formula would then be expanded over long stretches of time, surounded by the same formula in a smaller form.
By the same formula — measuring by who sits in the middle of the income spectrum — Manhattan's middle class exists somewhere between $45,000 and $134,000.
Households that participate in SNAP under this "broad-based categorical eligibility" rule still have benefits determined by the same formula (of household size and net income) as the other SNAP beneficiaries.
