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The combined fuzzy membership values tend to be very small with this operator, due to the effect of multiplying several numbers less than 1.
X ∈ R K × N is obtained by only spreading the mapped symbols at the l th interval x ~ k [ l ] by the spreading factor N respectively without the effect of multiplying the spreading sequences in the transmitter.
The observation nodes labeled with y ~ i [ n ] represent the observation function gi,n(x[ n]), which is the transition probability between y ~ i [ n ] and x[ n] only including the effect of multiplying each user's spreading sequence in the receiver without cumulation.
where h ~ i, j [ n ] is the element of the equivalent channel matrix between y ~ i [ n ] and x j [ n] which incorporates the effect of multiplying the spreading sequences s i [ n−d i ] in the receiver with the effective signature sequences from the transmitter for the asynchronous case without the sum over n, expressed as h ~ i, j [ n ] = h j [ n ] s j n − d j s i n − d i, n = 1, 2, …, NL, (8).
My lashes were definitely blacker and longer, but it definitely didn't have the effect of multiplying my lashes by a million.
When the account was overdrawn, this so-called "high to low" policy had the effect of multiplying the number of overdrafts, each of which carried a $25 to $35 fee.
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To illustrate the effects of multiplying the likelihood by a prior, suppose that in the 1 × 2 example in Figure 2 the likelihoods of the tiles in Hypothesis 5 and Hypothesis 6 were the same, both equal to some value l.
To avoid the effect of multiply sequenced species, we selected one representative strain from each species.
The effect of multiply charged particles on the particle numbers was small (<15% of total N) but significant on the mass-based AMS measurement (50 60% of the particulate mass).
The fashion for flattening hierarchies has had the paradoxical effect of multiplying meaningless job titles.
This in turn can provide information on sample thickness variations over the beam cross-section and can suppress the effects of multiply-scattered light so that non-uniform and macroscopically rough surfaces can be analyzed.
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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