auxiliary equation in a sentence

1) Incorporating these auxiliary equations into eq.

2) To relate these variables to" J" and "F", auxiliary equations are used.

auxiliary collocations
3) Apply the "complex variables method" by solving the auxiliary equation below and then finding the real part of its solution:

4) Instead of "fixing" the gauge by constraining the gauge field "a priori" via an auxiliary equation, one adds to the "physical" (gauge invariant) Lagrangian a gauge "breaking" term



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