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The grade (US) or gradient (UK) (also called stepth, slope, incline, mainfall, pitch or rise) of a physical feature, landform or constructed line refers to the tangent of the angle of that surface to the horizontal. It is a special case of the slope, where zero indicates horizontality. A larger number indicates higher or steeper degree of "tilt".
The change in slope of a deflection curve between two points of a beam is equal to the area of the M/EI diagram between those two points.(Figure 02) Figure 02-Mohr's First Theorem Mohr's second theorem
An R 2 of 1 indicates that the regression predictions perfectly fit the data. Values of R 2 outside the range 0 to 1 occur when the model fits the data worse than the worst possible least-squares predictor (equivalent to a horizontal hyperplane at a height equal to the mean of the observed data). This occurs when a wrong model was chosen, or ...
Indefatigable was the successor to the Invincible-class battlecruisers.A number of options for large cruisers were considered for the 1906 Naval Programme, including the X4 design of 22,500 long tons (22,861 t) with 11-inch (280 mm) armour and 25-knot (46 km/h; 29 mph) speed, but in the end this programme consisted only of three ships of the Dreadnought type.
The second line for angular frequencies above is a line with a slope of −20 dB per decade, since at high frequencies the / term dominates, and the decibel gain expression above simplifies to (/), which is a straight line with a slope of −20 dB per decade. These two lines meet at the corner frequency. From the plot, it can be seen that ...
Its x coordinate is half that of D, that is, x/2. The slope of the line BE is the quotient of the lengths of ED and BD, which is x 2 / x/2 = 2x. But 2x is also the slope (first derivative) of the parabola at E. Therefore, the line BE is the tangent to the parabola at E.
We can see that the slope (tangent of angle) of the regression line is the weighted average of (¯) (¯) that is the slope (tangent of angle) of the line that connects the i-th point to the average of all points, weighted by (¯) because the further the point is the more "important" it is, since small errors in its position will affect the ...
In astronomy, an analemma ( / ˌænəˈlɛmə /; from Ancient Greek ἀνάλημμα (analēmma) 'support') [ a] is a diagram showing the position of the Sun in the sky as seen from a fixed location on Earth at the same mean solar time, as that position varies over the course of a year. The diagram will resemble a figure eight.