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Naismith's rule helps with the planning of a walking or hiking expedition by calculating how long it will take to travel the intended route, including any extra time taken when walking uphill. This rule of thumb was devised by William W. Naismith, a Scottish mountaineer, in 1892. [1] [3] [4] A modern version can be formulated as follows:
Grade is usually expressed as a percentage - converted to the angle α by taking the inverse tangent of the standard mathematical slope, which is rise / run or the grade / 100. If one looks at red numbers on the chart specifying grade, one can see the quirkiness of using the grade to specify slope; the numbers go from 0 for flat, to 100% at 45 ...
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.
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The Hill sphere is a common model for the calculation of a gravitational sphere of influence. It is the most commonly used model to calculate the spatial extent of gravitational influence of an astronomical body ( m ) in which it dominates over the gravitational influence of other bodies, particularly a primary ( M ). [ 1 ]
If a team consists of less than 4 individuals, scores of 0 will be used for any individual missing and will be included in the calculation of the team's average (for example if a team has only 3 participants who scored 50, 40, and 30, and if they scored 18 in the Co-op stage, then their final team score will be (50+40+30+0) /4+18=48.
The seven peaks of the 'Fitz Roy traverse is one of the hardest mountain traverses with a CAG of circa 4,000 metres (13,000 ft) In cycling, hiking, mountaineering and running, the term cumulative elevation gain (or cumulative gain) is the total of every gain in elevation made throughout a journey.