Sentence examples for substituting log from inspiring English sources

end{aligned} (64) As the logarithm is an increasing function begin{aligned} log Biggl( sum_{k=1}^{M} p_{k}^{beta} Biggr) + log Biggl( sum _{k=1}^{M} p_{k}^{gamma} Biggr) le log M + log Biggl( sum_{k=1}^{M} p_{k}^{beta +gamma} Biggr), end{aligned} (65) by substituting log Biggl( sum_{k=1}^{M} p_{k}^{q} Biggr) = ({1- beta} ) H_{beta} bigl( {p_{k}}bigr), (66) we obtain the result.

Results were robust to substituting log hair nicotine for self-reported smoking and after adjustment for confounding variables.

Various versions of the fluid substituted logs (all brine, all gas, and all oil) are generated.

First, we repeated our regression analysis by substituting the log of the syphilis rate for the log of the gonorrhea incidence rate as the dependent variable, thereby testing to determine whether our model would suggest an implausible link between gonococcal ciprofloxacin resistance and changes in the incidence of syphilis.

Substituting the log-likelihood function in (20) leads to the following minimization problem: τ ̂ h ̂ = arg min τ, h r − A τ h 2, (22).

Because high-scoring segments could be induced by genes encoded in alternative frames, we also scored each significant H-hit against all alternative frames substituting in log-odds-ratio scores the frequencies expected in a random model with those expected in alternative coding frames.

Works equally well if you substitute the log cabin for a bleak European club and your co-stars' soft porn nipples for some German guy's leather-clad bulge.

We substituted the log-linear lead IQ effect in a previously published health benefits model and found that the economic savings due to U.S. population lead decrease between 1976 and 1999 (from 17.1 μg/dL to 2.0 μg/dL) was 2.2 times ($319 billion) that calculated using a linear linear dose response function ($149 billion).

A "military log" is substituted for a captain's log, "combat date" rather than stardate, and the absence of a counselor.

At the fund-raiser, Mr. Ferrell's Bush, who was wearing a flight suit, boasted of his plan to replace logged ancient redwoods with "substitute trees" made out of red-painted plywood.

When considering digital communications, by substituting (5) into (29), the log-likelihood function is obtained as log p ( Y | θ ) = ∑ i = 1 N log ∑ m = 1 M p ( y i | c m ) p ( S m | θ ), (31).