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l = slope length α = angle of inclination. The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line is either the elevation angle of that surface to the horizontal or its tangent. It is a special case of the slope, where zero indicates horizontality. A ...
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
A slope can be broken into sections known as a ridge, crest, midslope, and toeslope. The ridge or hilltop tends to accumulate organic matter that allows formation of an adequate thickness of soil. The ridge or hilltop tends to accumulate organic matter that allows formation of an adequate thickness of soil.
The steepness of the slope at that point is given by the magnitude of the gradient vector. The gradient can also be used to measure how a scalar field changes in other directions, rather than just the direction of greatest change, by taking a dot product. Suppose that the steepest slope on a hill is 40%.
where is the equivalent stress, is the pressure, is the pre-consolidation pressure, and is the slope of the critical state line in space. The pre-consolidation pressure evolves as the void ratio ( e {\displaystyle e} ) (and therefore the specific volume v {\displaystyle v} ) of the soil changes.
The historic Sam E. Hill School - or at least part of it - is being preserved as part of a new 150,000-square-foot park and community center development blending the Lonsdale neighborhood's past ...
A fall line refers to the line down a mountain or hill which is most directly downhill; that is, the direction a ball or other body would accelerate if it were free to move on the slope under gravity. Mathematically the fall line, the line of greatest slope, is the negative of the gradient (which points uphill) and perpendicular to the contour ...
Appleton Area School District leadership presented three options for attendance boundaries at the new Sandy Slope Elementary School.