"curve" in inglés with examples - Collocation dictionary inglés
- Two points lie in the same leaf if they are joined by the integral curve of a Hamiltonian vector field.
- In other words, the graph of the solution must be a union of integral curves of this vector field.
- These integral curves are called the characteristic curves of the original partial differential equation.
- The integral curves of this vector field go from the points of the curve to the point P in finite time.
- In this example, the other integral curves are all simple closed curves.
- The map may be constructed as the integral curve of either the right- or left-invariant vector field associated with .
- That the integral curve exists for all real parameters follows by right- or left-translating the solution near zero.
- The map is the integral curve through the identity of both the right- and left-invariant vector fields associated to .
- The integral curve through of the left-invariant vector field associated to is given by .
- Likewise, the integral curve through of the right-invariant vector field is given by .
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