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If ϕ is positive, the current "lags" the voltage, while for negative values of ϕ, the current "leads" the voltage.
If a risk factor allows for negative values, log returns cannot be applied and one either ignores such scenarios or switches to considering absolute changes.
Even though more complex many-chain effects are neglected, this theory appears to be the only one to offer a physical explanation for negative values of W2 observed experimentally at small strains.
The discrete-time unit step is a sequence as I've indicated here, specifically a sequence which is 0 for negative values of its argument, and equal to 1 for positive values of its argument and 0. So mathematically, the unit step sequence is 1 for n greater than or equal to 0 and 0 for n less than 0. The unit impulse sequence, likewise, is defined in a straightforward way.
They have to be modified slightly such that they really vanish for negative values of t.
For negative values, this element also accounts for the helicity flip phenomenon.
Here the subscript "+" indicates a value of zero for negative values of the argument.
To complete the proof we use the same argument for negative values of.
For negative values of (k_{0}), the total population is decreasing and extinction of the population is imminent.
We notice that, for negative values of λ and ρ, these two differences are negative and decrease with volatility.
In Figs. 12 and 13 we investigate the additional amplifying effects for negative values of both α and ϵ.
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