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In some cases, there exists a simple effective charge temperature-current relation T c ∝ I α, where α is an exponent that depends on charge-phonon scattering [8].
The first-kind Chebyshev polynomials are defined by the relation T m ( z ) = cos ( mθ ), z = cos , m = 0, 1, 2, …, Open image in new window.
Using the relation (T(h)=T_{0}exp ({gamma int _{0}^{h}} g z)/mathrm {V_{Phi }}^{2} (z dz)) (Stacey and Davis 2008), the pressure, density, and temperature at any depth h below the CMB may be calculated.
The time-domain training sequences can be obtained from (14b) in a straight-forward manner by using the relation, t = ( I K ⊗ W H P 0 : V − 1 ( t ) ) T ~.
To understand the recombination lifetime, Tn was determined using the relation T n = 1 2 π f min, where fmin is the frequency giving the lowest imaginary component in IMVS.
The expected replenishment lead time for product i from plant k to distribution center l is given by the following relation: T ikl = BN ikl × F 2 ik + T 5 ik + BE ikl × 1 - F 2 ik.
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Let D be the quaternion algebra over R = R 2 = k [ t 1 ± 1, t 2 ± 1 ] with generators T 1, T 2 and relations T 1 2 = t 1, T 2 2 = t 2 and T 2 T 1 = - T 1 T 2 and let A = M 2 ( D ).
Eq. (6) can be normalized by using the relations T = ω 0 t and Z = z/d, and the normalized equation is expressed as: ddot{Z}+ Z+frac{d^2beta}{{omega_0}{2}{Z}^3+frac{gamma}{omega_0}overset{Z}=frac{F_0}{cos{d}^2{omega_0}^2} cos left({omega}_r Tright) (10).
While the conventional "per-instance" TP and FP are computed by counting the number of correctly predicted relation instances, our "per-relation" T P ^ and F P ^ are computed by counting the number of distinct protein pairs that are predicted correctly.
This trivial fact is readily established by differentiating the relation B ( t ) B ( t ) − 1 = I.
In all cases, contribution to permittivity from the JG relaxation, ΔεJG decreases with time, with a rate constant k according to a relation, ΔεJG (t) = ΔεJG (t → ∞) − [ΔεJG (t = 0) − ΔεJG ( t → ∞)][1− exp[− kt)].
Write better and faster with AI suggestions while staying true to your unique style.
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