Sentence examples for substitute equation from inspiring English sources

Finally, we substitute equation (9) into equation (6) and the criterion for oscillatory solutions becomes y^{n-1} > biggl(frac{D-2}{2x} biggr)^{2}.

If we substitute Equation (2) by Equation (1) and rearrange, we obtain d F ( t ) d t = p + q × F t × ( 1 - F ( t ) ) (4). the differential equation which is besidesEquation (1) another form of the Bass Model.

Substitute Equation (14) for p i (e d,r) in Equation (10), we have CP i ( e d, r ) = 1, r i ≤ 1 − e d < r i + 1 0, otherwise (16).

Substitute Equation (12) into Equation (16), and compensate for the constant phase term brought by R0, it could be obtained s P ' f, t = σ P W f, t exp − j 4 πf c x P ' sin ωt + y P ' cos ωt + z P ' (17).

The probability of collision, in which the location claims with the same ID but in different positions are mapped to the same cell is pc: p c = 1 - p n c (9). Substitute Equation 8 into Equation 9 to obtain p c ≥ 1 - e - q 2 m × l l - 1 2 (10).

Assume that ϕ varies within [0, 2π) and substitute Equation 33 into Equation 28, and the beam outline on the ground can be obtained. The area inside the outline can be expressed as G ϕ, θ ≥ G 0 2. (34). According to Equation 19, A m t - 2 r c is not zero only under the following condition: 0 ≤ t - 2 r c ≤ τ. (35). So, c t - τ 2 ≤ r ≤ ct 2. (36).

Substitute Equations B-6 and B-7 into Equation B-1 and notice that the downlink multiplexing gain cannot exceed M, then the following holds: (B-8).

Additionally, such a method is still valid for metal (or other semiconductor) NC memory in just using their equations to substitute Equations 9, 10, and 11 for NC Ge.

Substituting Equation 2 yields (6).

Substituting Equation 7 into Equation 8 obtains Theorem 1.

Substituting Equation A12 into Equation A13 yields (A14).