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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
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.
Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle. [ 1 ] [ 2 ] [ 3 ] It was formulated by Waldo Tobler . This function was estimated from empirical data of Eduard Imhof .
3.33% (1 in 30) – Umgeni Steam Railway, South Africa [24] 3.0% (1 in 33) – several sections of the Main Western line between Valley Heights and Katoomba in the Blue Mountains Australia. [25] 3.0% (1 in 33) – The entire Newmarket Line in central Auckland, New Zealand; 3.0% (1 in 33) – Otira Tunnel, New Zealand, which is equipped with ...
The rate of change, called the ALSFRS-R slope can be used as a prognostic indicator. [ 7 ] [ 10 ] [ 11 ] Although the ALSFRS-R score is a recognized prognostic indicator, [ 5 ] it is more useful to compare various indicators including vital capacity (FVC%) and the Sickness Impact Profile (SIP) [ 5 ] [ 12 ] to increase the accuracy of a given ...
The modified Bruce Protocol is an alteration in the protocol so that the treadmill is initially horizontal rather than uphill, with the 1st few intervals increasing the treadmill slope only. [ 3 ] The Bruce treadmill test estimates maximum oxygen uptake using a formula and the performance of the subject on a treadmill as the workload is increased.