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Second method: To show equation (5.2) is equivalent to proving that A ( a, b ) I ( a, b ) < I ( a, b ).
Therefore, Equation (14) is valid for N > L. Case 2: N = L For N = 1 and L = 1 it is easy to show Equation (14) is valid for N > L. Now we need to show that Equation (14) is still valid for N = L = j + 1. G ( j + 1 ), ( j + 1 ) ≐ 1 j j !
To show equation (5.6) is equivalent to proving that the second side of equation (5.8) is strictly smaller than that of equation (5.7), or again (after a simple reduction) ∫ 1 b / a d x 1 + x 2 < 2 ∫ 1 b / a 4 d x 1 + x 2. (5.9).
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Hence, below we only show equations under the log-Euclidean metric.
Mathematical induction is used for showing Equation (5.6).
As it is shown, equations of state lead to densities with an uncertainty (AAD) more than 3%.
You can sometimes hear the concept creak, too: the show's equation of flamboyance with political dissidence is questionable.
Over the course of this marvelous show, that equation is under constant adjustment.
A P-V diagram would show the equation of state in graphical form for several different temperatures.
Now we show that equation (2) also holds.
As Notaro said in her now famous live show, "The equation is tragedy plus time equals comedy".
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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