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Gradients are expressed as a ratio of vertical rise to horizontal distance; for example, a 1% gradient (1 in 100) means the track rises 1 vertical unit for every 100 horizontal units. On such a gradient, a locomotive can pull half (or less) of the load that it can pull on level track.
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.
Stream gradient (or stream slope) is the grade (or slope) of a stream. It is measured by the ratio of drop in elevation and horizontal distance. [ 1 ] It is a dimensionless quantity , usually expressed in units of meters per kilometer (m/km) or feet per mile (ft/mi); it may also be expressed in percent (%).
In general, if an increase of x percent is followed by a decrease of x percent, and the initial amount was p, the final amount is p (1 + 0.01 x)(1 − 0.01 x) = p (1 − (0.01 x) 2); hence the net change is an overall decrease by x percent of x percent (the square of the original percent change when expressed as a decimal number).
The album-equivalent unit, or album equivalent, [1] is a measurement unit in music industry to define the consumption of music that equals the purchase of one album copy. [2] [3] This consumption includes streaming and song downloads in addition to traditional album sales. The album-equivalent unit was introduced in the mid-2010s as an answer ...
1 in 8.6 (11.6%) Pöstlingbergbahn, Austria: 1898: 1 in 9 (11.1%) Cass Scenic Railway, West Virginia, United States: 1901: Former logging railway, steepest non-electrified adhesion railway 1 in 9 (11%) or 1 in 10 (10%) Estrada de Ferro Campos do Jordão, Brazil: 22 existing railways merged and nationalised in 1953 1 in 9.5 (10.5%)
the slope field is an array of slope marks in the phase space (in any number of dimensions depending on the number of relevant variables; for example, two in the case of a first-order linear ODE, as seen to the right). Each slope mark is centered at a point (,,, …,) and is parallel to the vector
Advanced Placement (AP) Music Theory (also known as AP Music or AP Theory) is a course and examination offered in the United States by the College Board as part of the Advanced Placement Program to high school students who wish to earn credit for a college-level music theory course.