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The backward prediction counterpart of this optimization problem is similarly solved using 2 × 2 lower triangular transformation matrices L ℓ b ( i ), and 2 × 2 lattice backward prediction reflection coefficient matrices, Δ ℓ b ( i ).
This has motivated an ongoing line of research in our project to better understand how cognitive and motivational factors of players interact with different approaches to structuring navigation to support prediction, reflection, and learning (e.g., Killingsworth, Adams, and Clark: Cognitive and Motivational Influences on Learning and Play in a Physics Game, submitted).
In each section, κ ̄ m, k, j f ( i ) represents the j th forward prediction reflection coefficient at the m th stage related to the k th channel as defined in the previous subsection, and b ̂ m − 1 j ( n ) represents the j th element of the self-orthogonalized backward prediction error signal vector, b ̂ m − 1 ( n ), at the input of the m th stage.
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Here are my predictions, reflections and thoughts on what's ahead in 2015 and beyond.
Figure 7 Experiment A: Prediction of reflection points on Google Maps.
Figure 9 Moving measurement setup for experiment B. Figure 10 Experiment B: Prediction of reflection points on ( x, y ) plane.
In particular, the following five time slots were considered: Figure 6 Experiment A: Prediction of reflection points on a ( x, y ) plane.
Both of these processes, prediction and reflection, are part of scientific method, as described, for example, in the Australian Science Curriculum: "Science investigations are activities in which ideas, predictions or hypotheses are tested and conclusions are drawn in response to a question or problem".
Although its simplicity makes the MLR an attractive assay with which to examine in vivo responses, the overall clinical experience has been that mixed lymphocyte responses do not provide a reliable prediction or reflection of graft outcome 28 and, indeed, we have previously noted a clear disparity between the in vivo and in vitro suppressive capacity of CD25+CD4+ Treg 29.
10.7554/eLife.01345.007 Figure 4. Prediction of reflections and indexing in the diffraction patterns.
The prediction of the reflection points for this experiment is shown in Figure 10.
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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