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The fact that hybridizing ordinary modal logic actually does give more expressive power can for example be seen by considering the formula ↓c□¬c.
We will illustrate the workings of this algorithm through a simple example, by considering the formula varphi equiv mathbf{G}, neg c vee mathbf{F},(a vee b)) evaluated on the trace a,c,a,d,c,d,b.
Considering the formula (3) for the FLD model with specific value of parameters s and a s (where this parameter mostly change with the incident power), it was not possible to obtain a good correspondence between numerical and experimental results.
Considering the formula to calculate dissociation equilibrium constant, K d = k d / k a, the slower off-rates of mutants N96W and N96W + H222R, that is, smaller values of k d, explain a large part of the increase of their higher affinity to IFN- γ-SC (lower values of K d ).
An allodynia score was determined after four consecutive measurements using the touch stimulator sequentially on the left and right hind paw and calculated considering the formula below: The basal score was measured before CFA injection on day 0, and the animals considered for testing were those with a mean value nearest to 1 (demonstrating no significant difference between both paw stimuli).
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In that case, a New York court switched custody to a father on the grounds that while the mother was not at all unfit, the father now appeared more fit -- the "sole criterion" being the "best interests of the child when all applicable factors are considered". The formula sounded so reasonable that it spread rapidly around the country.
Let us consider the formula (3) in more details.
We only consider the formula of, since the others are similar.
We may then consider the formula [R R], which expresses the assertion that R is in itself.
The formulas are syntactically different, and effort is needed to recognize that the later formula is a redundant version of the former.To take this to an extreme, consider the formula \(x : P \rightarrow x :( P \wedge P \wedge\) … \(\wedge P )\), where the consequent has as many conjuncts as there are elementary particles in the universe!
For example, consider the formula S (a, b, c ) = (a + b ¯ ) ⋅ (a + b + c ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com