Delta symbol and its meaning in math, lower case Delta and a regular d are questions.
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Most expressions of Noether's Theorem don't use a capital letter, but a few websites do.I am confused.There is a page in the June 23 issue of 'Science News'.The left side of the equation is fracdt.Is it worth it?
There is not enough context to be sure what the author meant, but the formula looks like a Noether law for vertical variations in point mechanics.Functional derivatives are usually referred to as the $delta$.e.g.This post is from the sciences.There are functional derivatives.It doesn't make sense without further explanation.e.g.This and this posts are from the Phys.SE.
There is a case where the Lagrangian $L(q,dotq,t)$ only depends on up to first time derivatives.The momemtum is a product of a vertical generator.The momentum is constructed via partial differentiation.