A geologic map is a fundamental scientific tool that shows the distribution of geologic material. This study used data gathered at Seven Mile Creek Park to make a geologic map. This data examines the relationships between ravine cutting, terrace development, and base level in a tributary to the Minnesota River, known as Seven Mile Creek. Within the Park there is an extensive network of ravines ...

Let f : X → Y be a Cohen-Macaulay map of finite type between Noetherian schemes, and g : Y ′ → Y a base change map, with Y ′ Noetherian. Let f ′ : X → Y ′ be the base change of f under g and g : X → X the base change of g under f . We show that there is a canonical isomorphism θ g : g ∗ ωf ≃ ωf ′ , where ωf and ωf ′ are the relative dualizing sheaves. The map θ g f is easily described when f is...

Aggregation methods are the most common way of upscaling land cover maps. To analyze the impact of land cover mapping error on upscaling agricultural maps, we utilized the Cropland Data Layer (CDL) data with corresponding confidence level data and simulated eight levels of error using a Monte Carlo simulation for two Agriculture Statistic Districts (ASD) in the U.S.A. The results of the simulat...

We consider a skew product with the interval [0,a] as a fiber space and maps in fibers that are concave and fix 0. If the map in the base is an irrational rotation of a circle, then it has been known that under some additional conditions there exists a Strange Nonchaotic Attractor (SNA) for the system. The proofs involved Lyapunov exponents and Birkhoff Ergodic Theorem. We show that the existen...

A remote sensing image is composed of vegetation and base rock or soil in moutain areas, which can be decomposed by the fractal model through Fourier transformation to enhance base rock or soil information. In this paper, four scene images of two types of bed rock from Anhui province are taken as a case to demonstrate the method’s validity: two scene images’ base rocks are monzonite granite whi...