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How to Lie with Maps is a nonfiction book written by Mark Monmonier detailing issues with cartographic representation and targeted at the general public. [1] [2] [3] First published in 1991 by the University of Chicago Press, it explores the various ways in which maps can be manipulated and how these distortions influence the general public's perceptions and understanding of the world. [1]
The existence of the exponential map is one of the primary reasons that Lie algebras are a useful tool for studying Lie groups. The ordinary exponential function of mathematical analysis is a special case of the exponential map when G {\displaystyle G} is the multiplicative group of positive real numbers (whose Lie algebra is the additive group ...
exponential map (Lie theory) from a Lie algebra to a Lie group, More generally, in a manifold with an affine connection, (), where is a geodesic with initial velocity X, is sometimes also called the exponential map. The above two are special cases of this with respect to appropriate affine connections.
However, cartographic propaganda is widely successful because maps are often presented as a miniature model of reality, and it is a rare occurrence that a map is referred to as a distorted model, which sometimes can "lie" and contain items that are completely different from reality. [4]
This glossary of geography terms is a list of definitions of terms and concepts used in geography and related fields, including Earth science, oceanography, cartography, and human geography, as well as those describing spatial dimension, topographical features, natural resources, and the collection, analysis, and visualization of geographic ...
The exponential map of the Earth as viewed from the north pole is the polar azimuthal equidistant projection in cartography. In Riemannian geometry, an exponential map is a map from a subset of a tangent space T p M of a Riemannian manifold (or pseudo-Riemannian manifold) M to M itself. The (pseudo) Riemannian metric determines a canonical ...
The light but non-white background color enables the use of white as a map symbol (the county boundary across the center). Also note the central box showing the location of a separate detail inset map. In addition to the map itself, there are various elements that are included in the map layout. The following are common elements of a map layout ...
Most American geography and social studies classrooms have adopted the five themes in teaching practices, [3] as they provide "an alternative to the detrimental, but unfortunately persistent, habit of teaching geography through rote memorization". [1] They are pedagogical themes that guide how geographic content should be taught in schools. [4]