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Diffusion maps exploit the relationship between heat diffusion and random walk Markov chain.The basic observation is that if we take a random walk on the data, walking to a nearby data-point is more likely than walking to another that is far away.
When an orbital diagram is drawn for the logistic map, it is possible to see how the branch representing the stable periodic orbit splits, which represents a cascade of period-doubling bifurcations. Bifurcation diagram of the period-doubling bifurcation cascade occurring between parameters r 1 = 3 {\displaystyle r_{1}=3} and a ∞ = 3.56994 ...
USGS map colored by paleogeological areas and demarcating the sections of the U.S. physiographic regions: Laurentian Upland (area 1), Atlantic Plain (2-3), Appalachian Highlands (4-10), Interior Plains (11-13), Interior Highlands (14-15), Rocky Mountain System (16-19), Intermontane Plateaus (20-22), & Pacific Mountain System (23-25) The legend ...
Shaded relief map of the United States, showing 10 geological provinces. The richly textured landscape of the United States is a product of the dueling forces of plate tectonics, weathering and erosion. Over the 4.5 billion-year history of the Earth, tectonic upheavals and colliding plates have raised great mountain ranges while the forces of ...
This functional equation arises in the study of one-dimensional maps that, as a function of a parameter, go through a period-doubling cascade. Discovered by Mitchell Feigenbaum and Predrag Cvitanović, [3] the equation is the mathematical expression of the universality of period doubling. It specifies a function g and a parameter α by the relation
Portsmouth Gaseous Diffusion Plant is a facility located in Scioto Township, Pike County, Ohio, just south of Piketon, Ohio, that previously produced enriched uranium, including highly enriched weapons-grade uranium, for the United States Atomic Energy Commission (AEC), the U.S. nuclear weapons program and Navy nuclear propulsion; in later years, it produced low-enriched uranium for fuel for ...
Map of a portion of the canal route in the Cuyahoga Valley. The Ohio and Erie Canal was a canal constructed during the 1820s and early 1830s in Ohio.It connected Akron with the Cuyahoga River near its outlet on Lake Erie in Cleveland, and a few years later, with the Ohio River near Portsmouth.
Hocking Hills State Park is a state park in the Hocking Hills region of Hocking County, Ohio, United States.In some areas the park adjoins the Hocking State Forest.Within the park are over 25 miles (40 km) of hiking trails, rock formations, waterfalls, and recess caves.