Sentence examples for written as ln from inspiring English sources

Freundlich equation is written as q_{e} = k_{f} C_{e}^{{frac{1}{n}}}. Its linearized form is written as ln,q_{ee} = ln K_{f} + frac{1}{n} {ln}C_{e}.

The Arrhenius equation can be written as, ln, upsilon_{text{corr}} =, ln, A, , E_{a}^ /RT (7 where υ corr is the corrosion rate, E a * is the apparent activation energy (J mol−1), R is the gas constant (8.314 J mol−1 K−1), T is the absolute temperature (K) and A is the Arrhenius pre-exponential factor.

On integration between known limits, the model can be written as ln left( {frac{{C_{text{s}} }}{{C_{text{so}} }}} right) = - k_{1} t where Cso is the initial substrate concentration (mg COD/L), Cs is the substrate concentration (mg COD/L), t is the degradation time (h), and k1 is the first order rate constant (h−1).

Ignoring endogenity problems, our system of hourly wage equations can be written as ln w 1 = X 1 ⊤ β 1 + η 1 if j 1 = 1, (Husband - Public) ln w 2 = X 2 ⊤ β 2 + η 2 if j 2 = 1, (Wife - Public) ln w 3 = X 3 ⊤ β 3 + η 3 if j 1 = 2, (Husband - Private) ln w 4 = X 4 ⊤ β 4 + η 4 if j 2 = 2, (Wife - Private) (2).

The likelihood function (18) can be more compactly written as ln L ∝ ∑ i j c i j ln (p i j (T ) ), which, again, is the log-sum of four independent multinomial processes.

Their term, which is the natural logarithm of the ratio of exposed to unexposed individuals in the population, would be written as ln(p k/p0) in our notation.

The baseline log cumulative hazard in a proportional hazards model incorporates the restricted cubic spline function of s(ln(t)| γ,  n 0 ), with knot locations n 0, and covariates x and can be written as (11) ln H t | x = s ln t | γ, n 0 + x β Covariate effects can be interpreted as log hazard ratios here under the assumption of proportional hazards.

A competing risk analogue of the flexible parametric survival model for relative survival can now be written as (7) ln (Θ j (t ; x ) ) = s (ln (t ) ; γ 0, j, k 0, j ) + x T β j where s (ln (t ) ; γ 0, j, k 0, j ) provides an estimate of the log cumulative baseline excess mortality for cause j and the vector β j represents the covariate effects on cause j.

In general, the multiple Poisson regression model can be written as (22): ln (Y ) = β 0 + β 1 X 1 + β 2 X 2 +... Time-series Poisson regression models have been applied in several epidemiological studies to explore the relationship between climatic variables and infectious diseases (23, 24).

The Cobb-Douglas functional form can be written as follows: or, ln (Y) = δ + α1 ln (X1) + α2 ln (X2) where δ = ln (α0).

Now Equation 2 can be written as follows: d ln αhν d hν = m hν − E g Open image in new window (3).