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For example, in the relation "is the same colour as," each object bears the relation to itself as well as to some other objects.
The item number column in the order lines relation is the same as the primary key of the item table.
Eight of them were determined by employing Taylor series expansions, while the ninth one was determined by requiring that the two-dimensional numerical dispersion relation is the same as the exact dispersion relation.
We stress that the limitation of this relation is the same as that of the scalar version: it relies on the normal distribution of the genotype.
For the case of constraining the SMM model to have repeat counts between one and L, we show in the appendix that the scaling relation is the same as in the standard SMM model.
Similar(54)
Our simple antagonism model assumed that antagonist co-activation is dictated by agonist torque level alone, is independent of joint angular velocity [74], [75], and that the torque/co-activation relation was the same for both age groups [41].
Put this way, the argument we are having about international relations is the same argument we are having about domestic affairs, just on a larger scale.
Mr. Galliano told a somewhat different story, creating a village atmosphere with food-laden tables and a variety of animals, including dogs and cages of pigs and chickens, but all the human elements and relations were the same.
Using the interaction picture is advantageous because the equations of motion as well as, under certain conditions, the commutation relations are the same for interacting fields as for free fields.
For the variables instrumental attitude, experiential attitude, and intention, the directions of the relations were the same, but these variables were not significant (p values ranged from.06 to.08) (see Table 5).
Indeed, their number and their nerve relations are the same in man as in the dogfish…only the superior oblique shows a function change in the course of phylogeny".
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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