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That means that f = 1/4, in the notation above.
We keep the notation above.
Nevertheless, we maintain the notation above for the sake of simplicity.
With the notation above we can state the following existence result.
In the notation above, suppose T is residually finite and (uin G{setminus } H).
Notice that, although the notation above is borrowed from Logic, connectives ¬ and ∧ have a specific meaning here.
Similar(31)
With notation as above, G ⊂ G θ | 1 ⊂ G θ | 2 ⊂ ⋯.
Using the same notation as above, we denote this reference point by (A^{Jm}).
In vector-matrix notation, the above mixing model in the presence of noise can be expressed as. x= As+n (2).
In bra ket notation, as above, this equality implies the resolution of the identity: I = \sum |\phi_n\rangle\langle\phi_n|.
Following the notation from above, x j is the independent variable of primary interest, M j is the continuous mediating variable, w is a continuous time-invariant covariate, and t j represents time-point.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com