Steven Young, a finalist from Reston, Va., learned by studying a map on a shower curtain, requiring him to recognize his Mozambiques and Madagascars backward.
Older children can learn about ancient land and sea trade routes by studying a map on the wall; younger ones can trace those routes by moving ship- or camel-shaped pegs along grooves on the map.
Just as the view from the Matterhorn cannot be visualized by studying a map of Switzerland (one abstraction), a decision cannot be fully and accurately evaluated by studying a report.
By the same analogy, a Principles of Economics class is meant to give a broad understanding of the field rather like understanding the earth's geography by studying a map of the entire world.
Up in the Casbah, the walled fortress atop the medina, I walked into the Casbah Museum, where I violated one of my rules by studying a wall-size map of ancient Mediterranean trade routes.
By the center manifold theorem we know that the stability of ((X,Y = 0,0)) near (mu=0) can be determined by studying a one-parameter family of maps on a center manifold, which can be represented as follows: W^{c}(0)= bigl{ (X,mu,Y in R^{3}| Y=h^ X,mu), h^ 0,0)=0, Dh^ 0,0)=0 bigr}.
Thus, from the center manifold theory (see Theorem 2.1.4 in [18]), the stability of the equilibrium point ( u, v ) = ( 0, 0 ) near s = 0 can be determined by studying a one-parameter family of maps on a center manifold which can be represented as follows: W c ( 0, 0 ) = { ( u, v, s ) ∈ R 3 ∣ v = h ( u, s ), h ( 0, 0 ) = 0, D h ( 0, 0 ) = 0 }. for sufficiently small u and s.
Day hikes, and half-days centered on the Uffington White Horse, or Wayland's Smithy, or the Avebury Stone Circles, can easily be devised by studying the map.
By studying trail maps, looking for new ways to go from Point A to Point B, and deliberately getting himself lost in the terrain, he has come up with about 40 different hiking routes of varying difficulty.
Although land components have traditionally been delineated by studying topographical maps, interpreting aerial photographs and making field measurements, such manual mapping techniques are very time-consuming and subjective.
