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According to the inherent distributed feature of the FG and the distributive law of multiplications to make the decomposition of the joint distribution to be functions of the variables [34], the messages of the reliable information can be processed and passed among variable nodes and factor nodes.
See also associative law; distributive law.
Standard logic includes the "distributive" law, by which a statement of the form "X and either Y or Z" is equivalent to the corresponding statement of the form "Either X and Y or X and Z".
Also, since rotation from b to a is opposite to that from a to b, This shows that the cross product is not commutative, but the associative law (sa) × b = s(a × b) and the distributive law are valid for cross products.
where the last equality is based on the distributive law of the modulo operation.
where (9) is based on the distributive law of the modulo operation.
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The associative, commutative, and distributive laws of elementary algebra are valid for the dot multiplication of vectors.
Laws of addition, associative laws of multiplication, commutative laws of addition and multiplication, and distributive laws are explained in this chapter.
Thus neither the left nor the right distributive laws hold even in the weakest sense of IVF soft J-equal relations.
The nature of the shift is clearly explained in (Holland 1970): modularity is in effect a weakening of the distributive laws (limiting their validity to certain selected triples of lattice elements), and orthomodularity is a weakening of modularity (limiting the validity of the distributive laws to an even smaller set of triples of lattice elements).
In our last work [30], some fundamental arithmetic rules on interval numbers, based on the conventional addition and gH-difference were extended to the case of interval-valued vectors, while some properties, in particular associative and distributive laws, were obtained.
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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