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To make an analogous condition for algorithms, similar parameters of these algorithms are similarly set.
An analogous condition in the multivalued context leads to the following result.
Example 18 Even with an analogous condition, the inequality (4) does not hold for n = 4 numbers (without further assumptions).
Using the analogous condition that, if a ≤ b and c ≤ d for a, b, c, d ∈ R, we have a d + b c ≤ a c + b d, we obtain (24).
Of course, for small |y| we have Φ |y|) γ < Φ |y|) for each γ > 1, hence the present condition (2.8) implies the validity of the analogous condition with γ > 1, assumed in [11] (see condition (8)).
These include a nonlocal condition for acoustic waves based on Kirchhoff's formula, originally proposed by L. Ting and M. J. Miksis (J. Acoust. Soc. Am. 80, 1825 (1986), and an analogous condition for elastic waves.
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Analogous conditions in herbivorous domesticated animals result from deficiencies in trace elements, such as zinc and selenium, in the soil of pastures and, therefore, also in plants making up the diet.
Pearl provides analogous conditions with different terminology.
We define an approximated discrete-time problem where analogous conditions hold.
Then, we used these dyes to fabricate DSSC under analogous conditions.
As (beta= phi) in (I_ cup I_), we conclude that analogous conditions regarding β hold too.
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