Sentence examples for the lay point from inspiring English sources

We know very little about what the suicidal process looks like from the lay point of view, or about how significant others interpret signs of escalating distress and decide what action, if any, they should take.

The Lie point symmetries of this system are obtained.

The Lie point symmetries equation (3.1) is investigated in the reference [18].

The Lie point symmetry generator X 2 = ∂ t has the Lie characteristic function W = − ( u t + v t ).

A more recent series of articles was devoted to the Lie point symmetries of differential difference equations on [3].

In Section 2, we derive the Lie point symmetries of the DSWS using Lie group analysis and find the transformed solutions.

The Lie point symmetry X 2 = ∂ x has the Lie characteristic functions that are given by W 1 = − u x and W 2 = − v x.

For the Lie point symmetry X 1 = ∂ t, the corresponding Lie characteristic functions are W 1 = − u t and W 2 = − v t.

Because of the three Lie point symmetries of the ( 1 + 1 ) -dimensional higher-order Broer-Kaup system (1.1a) and (1.1b), we have the following three cases to consider: (i) We first consider the Lie point symmetry generator X 1 = ∂ x of the ( 1 + 1 ) -dimensional higher-order Broer-Kaup system (1.1a) and (1.1b).

The commutator table of the Lie point symmetries of the system (1.1a) and (1.1b) and the adjoint representations of the symmetry group of (1.1a) and (1.1b) on its Lie algebra are given in Table 1 and Table 2, respectively.

Thus, the Lie point symmetries are represented by the Lie group generators (vector fields) V 1 = ∂ ∂ x, V 2 = 3 t α ∂ ∂ t + x ∂ ∂ x − 2 u ∂ ∂ u. (24).