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Following [4, 8, 9], we define the mapping to of as the expectation of with respect to (i.e., the mean element ): (1).
By embedding the distributions to RKHS, the corresponding factor is the mean element, which was introduced by Gretton et al. [8, 9].
The P-based expectation of ϕ(x) is the so-called mean element μ P [8,9]: μ P : P → ℱ (1).
As shown in Table 5, each mean element score on the narrative task was equal to or slightly higher for the computer mode; however, the score on the opinion task was slightly higher for the face-to-face mode.
The P-based expectation of ϕ(x) is the so-called mean element μ P [8,9]: μ P : P → ℱ (1) P ↦ ∫ X Φ ( x ) dP. (2) Section 3. The second paragraph after definition 3 should read as follows.
The resulting unstructured grids are generally of very high quality: in uniform grids, 99.4% of the elements have areas between 90 and 107% of the mean element area, and 99.8% of the edges have lengths between 84 and 132% of the mean edge length.
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The distance between mapped mean elements is known as Maximum Mean Discrepancy (MMD).
The inverse transformation from the osculating into mean elements has the same general form as the direct transformation from the mean into osculating elements.
The algorithm incorporates realistic mission constraints, such as constant-magnitude thrust, and is implemented in feedback form, steering the mean elements to judiciously selected reference values.
Furthermore, we can use the distance between the mean elements of two distributions p, p′, (the maximum mean discrepancy, MMD) as test statistics.
This means elements of Gayby Baby date rather quickly.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com