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I found a spot in the field that might match that final X on a map drawn from memory 89 years ago.
2 Isopach map drawn from >10 and <30 measured thicknesses with calculation method described.
3 Isopach map drawn from >30 measured thicknesses with calculation method described.
This means that any (strictly speaking, almost any) orientation map drawn from z satisfies itself the Helmholtz equation; thus OPMs drawn from z are superpositions of plane waves with wavenumber R and various propagation directions.
2.4.3, each map drawn from z thus reads (f = int_{mathbb {S}^{1}} e^{i R u cdot x } T_{f} u)), where (T_{f}) is a complex-valued measure on (mathbb{S}^{1}) (the inverse Poisson transform of f).
This means that any (strictly speaking, almost any) orientation map drawn from z satisfies itself the Helmholz equation; thus maps drawn from z are superpositions of plane waves with wavenumber R and various propagation directions.
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Maps drawn from such fields are almost surely smooth, so there is no regularity problem ahead.
As the Washington Post reported last week, the Capital Area Food Bank in Lorton, Virginia, is using maps drawn from a variety of data sets to more accurately determine which parts of the metro area are most in need of food.
Concept maps drawn from the primary literature included descriptions, properties, metadata, usage of concepts and relations between them.
And it is to these that my mind turns as I make my way from my hotel, across Red Square, the following day towards Kim's flat, following the route marked out in pencil on a rather vague map drawn up from the combined memories of various family members, none of whom has been here in more than 20 years.
As allied troops pressed on and ahead, the maps of war, with their arrows all aimed at Baghdad, were being accompanied by a parallel map, drawn in tears, from the rocky coast of Maine to sunny San Diego, from Illinois farm country to the Texas oil patch, from gritty Baltimore to the Arizona desert.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com