Noether's theorem begins with the assumption that a specific transformation of the coordinates and field variables does not change the action, which is defined as the integral of the Lagrangian density over the given region of spacetime.
12.
The renormalization group emerges from the renormalization of the quantum field variables, which normally has to address the problem of " infinities " in a quantum field theory ( although the RG exists independently of the infinities ).
13.
Where the power is a square function of a field variable ( such as voltage, current, or pressure ), then 10 ?log is the correct expression for the square, or 20 ?log for the field variable itself.
14.
Where the power is a square function of a field variable ( such as voltage, current, or pressure ), then 10 ?log is the correct expression for the square, or 20 ?log for the field variable itself.
15.
The field variable of the continuous theory is an SU ( 2 ) connection ( or gauge potential ) A ^ i _ \ mu ( x ), where i is an index in the Lie algebra of SU ( 2 ).
16.
Some languages may also allow assignment between records whose fields have different names, matching each field value with the corresponding field variable by their positions within the record; so that, for example, a 2D point record variable with fields X and Y.
17.
In such a situation, for example, the statement var n = localAndFieldname; within the method will assign the type and value of the local variable localAndFieldname to n, whereas the statement var n = this . localAndFieldname; will assign the type and value of the outer field variable to n.
18.
Namely, to answer the second question, one designs a calculation ( see below ) that identifies the required set of parameters to define the theory, the starting point being some specific initial assumption, such as some local Lagrangian density which is a function of field variables and needs to be modified by including all the required parameters.
19.
Kinematic wave can be described by a simple partial differential equation with a single unknown field variable ( e . g ., the flow or wave height, h ) in terms of the two independent variables, namely the time ( t ) and the space ( x ) with some parameters ( coefficients ) containing information about the physics and geometry of the flow.
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