# drop_weight

Drop terms with given weight

Drop those terms for which a product has the indicated
weight. Weights are computed by making use of the `Weight`

property of symbols. This algorithm does the opposite
of `keep_weight`

.
As an example, consider the simple case in which we want to drop all
terms with 3 fields. This is done using{A,B}::Weight(label=field);
ex:=A B B + A A A + A B + B;

\(\displaystyle{}\text{Attached property Weight to }\left[A, B\right].\)

\(\displaystyle{}A B B+A A A+A B+B\)

drop_weight(_, $field=3$);

\(\displaystyle{}A B+B\)

However, you can also do more complicated things by assigning non-unit
weights to symbols, as in the example below,

{A,B}::Weight(label=field);
C::Weight(label=field, value=2);
ex:=A B B + A A A + A B + A C + B:

\(\displaystyle{}\text{Attached property Weight to }\left[A, B\right].\)

\(\displaystyle{}\text{Attached property Weight to }C.\)

drop_weight(_, $field=3$);

\(\displaystyle{}A B+B\)

Weights can be "inherited" by operators by using
the

`WeightInherit`

property. Here is an example using
partial derivatives,{\phi,\chi}::Weight(label=small, value=1);
\partial{#}::PartialDerivative;
\partial{#}::WeightInherit(label=all, type=multiplicative);
ex:=\phi \partial_{0}{\phi} + \partial_{0}{\lambda} + \lambda \partial_{3}{\chi};

\(\displaystyle{}\text{Attached property Weight to }\left[\phi, \chi\right].\)

\(\displaystyle{}\text{Attached property PartialDerivative to }\partial{\#}.\)

\(\displaystyle{}\text{Attached property WeightInherit to }\partial{\#}.\)

\(\displaystyle{}\phi \partial_{0}{\phi}+\partial_{0}{\lambda}+\lambda \partial_{3}{\chi}\)

drop_weight(_, $small=1$);

\(\displaystyle{}\phi \partial_{0}{\phi}+\partial_{0}{\lambda}\)