The scale on the right is the fundamental pulse interval (5.882 ms) multiplication factor.
Interval addition and multiplication are both commutative and associate but not distributive.
A binary operation ⨀ : I ( [ 0, ∞ ] ) 2 ⟶ I ( [ 0, ∞ ] ) is called a standard interval-valued pseudo-multiplication if there exist pseudo-multiplications ⊙ l and ⊙ r such that x ⊙ l y ≤ x ⊙ r y for all x, y ∈ [ 0, ∞ ], and such that for all a ¯ = [ a l, a r ], b ¯ = [ b l, b r ] ∈ I ( [ 0, ∞ ] ), a ¯ ⨀ b ¯ = [ a l ⊙ l b l, a r ⊙ r b r ]. (17).
Linear interval scales allow both multiplication by a positive number and a constant shift, e.g., the conversion from Celsius to Fahrenheit in accordance with the formula °C × 9/5 + 32 = °F.
Compared with infants in the low-DEHP exposure group, infants in the medium-DEHP exposure group had urinary MEHP levels that were twice as high [95% confidence interval (CI) of the multiplication factor, 0.5 7.4; p = 0.3], and infants in the high-DEHP exposure group had levels that were 5.1 times as high (95% CI of the multiplication factor, 1.2 21.9; p = 0.03).
On the other hand, the inversions of addition and multiplication are fundamental in interval arithmetic, interval analysis, and the concept of interval differentiability.
Briefly, they were maintained by sub-culturing at 4-week intervals on a shoot multiplication medium, at 22 ± 1°C under cool white fluorescent tubes (55 μmol m-2 s-1), with a 16-h photoperiod.
By using general notions of an interval-representable pseudo-multiplication (see Definition 3.2), we defined an interval-valued g ¯ -integral (see Definition 3.3) and investigated some basic characterizations of them (see Theorems 3.2, 3.3).
In this paper, by using the concepts of interval-representable pseudo-multiplication and g-integral, we define the interval-valued g ¯ -integral represented by its interval-valued generator g ¯ and a standard interval-valued g ¯ -convolution by means of the corresponding interval-valued g ¯ -integral.
So during this time interval of length T, the multiplication factor of the population size is (mathrm{e}^{rT}), and this is the finite rate of increase during this time interval.
