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By means of the triple index decomposition in (49), the exponential term in (48) has turned into a mere phase rotation to be applied after the DFT operation in (51).
Egyptian funerary art was inseparably connected to the religious belief that life continued after death – even more, it expressed a belief that "death is a mere phase of life".
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On account of its long duration, the high rank of the scholars it engaged, and the breadth of its scope this area of the overall translation movement from Greek into Arabic cannot be reduced to a mere preliminary phase of the Arabic reception of the Metaphysics, but rather provides a specimen of the main trends that characterized the first centuries of its history.
Here, figures are art itself, no mere phase or moment in time.
In particular, we sought to go beyond mere phase-locking changes by identifying the dynamic brain network of directed information-flow in activated cortical object representations.
Our current work was aimed to go beyond mere phase-locking changes by using the advantage of the Granger-causality-based multivariate-autoregressive models (MVAR) of PDC providing a frequency-specific measure of directional interactions [26], [57].
In other words: are the clusters obtained through weekly measurements a mere reflection of different phases of the LBP condition and if so, are they relevant in the long term?
Now, we have the sudden surprise appearance, via Tidal, of HITnRUN Phase Two, a mere three months after …phase one elicited such mediocre reviews and poor chart placing.
Our mixed results encourage the exploration of transdiagnostic similarities between these disorders, in particular in longitudinal studies which could help to determine whether or not the pattern observed here in AN is a mere effect of the acute phase of AN.
But if so, we are confronted once more with the question of what unifies the successive phases of ego's consciousness: what prevents these phases being a mere succession of experiencings, rather than an experiencing of succession?
In fact, the classic final assembly and test phases represent a mere 7 10percentt of the cost of modern fighter aircraft.
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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