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Fig. 3 Representation of the similarity matrix corresponding to the lysine dipeptide dataset using the agglomerative clustering algorithm (top) and the sketchmap algorithm (bottom, projection parameters shown following the scheme (sigma)–A_B a_b).
Fig. 4 Representation of the similarity matrix corresponding to the protonated lysine dipeptide dataset using the agglomerative clustering algorithm (top) and the sketchmap algorithm (bottom, projection parameters shown following the scheme (sigma)–A_B a_b).
The 3D curve (green online) corresponds to the distortion; on the bottom projection n H −T the blue dots correspond to the low-spin state and the red dots correspond to the high-spin state.
Fig. 5 Representation of the similarity matrix corresponding to the lysine uncapped dataset using the agglomerative clustering algorithm (top) and the sketchmap algorithm (bottom, projection parameters shown following the scheme (sigma)–A_B a_b).
(bottom) Projection averages were removed for clarity.
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(bottom) Projections of spacecraft trajectories in the magnetosphere.
For Rear Projection TVs, the lamp compartment should be located in the rear towards the bottom left or right side of the TV.
Rear projection is fading.
Bottom: normalized projection of the coefficient vectors (tilde {z}_{n}^{m}) on the first four eigen modes ({mathcal {Z}}_{1}) to ({mathcal {Z}}_{4}), which represent 70.6% (top left), 9.4% (top right), 5.2% (bottom left), and 4.5% (bottom right) of the (tilde {z}_{n}^{m}) variances.
But it is also attractive for business, as rising and fluctuating commodity prices combined with environmental stresses on resources starts to affect decision making and bottom line projections.
Table 2 also illustrates (at the bottom) the projections in billion tonnes-kilometres (btonne-km) (moved over distance).
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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