slope (redirected from sloper)

slope

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”). In differential calculus, the slope of a line tangent to the graph of a function is given by that function's derivative and represents the instantaneous rate of change of the function with respect to change in the independent variable. In the graph of a position function (representing the distance traveled by an object plotted against elapsed time), the slope of a tangent line represents the object's instantaneous velocity.

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slope

See signal slope.

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slope

1. hills or foothills

2. Maths

a. (of a line) the tangent of the angle between the line and another line parallel to the x-axis

b. the first derivative of the equation of a curve at a given point

3. US slang derogatory a person from Southeast Asia, especially a Vietnamese

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slope [slōp]

(geology)

The inclined surface of any part of the earth's surface.

(mathematics)

The slope of a line through the points (x₁,y₁) and (x₂,y₂) is the number (y₂-y₁)/(x₂-x₁).

The slope of a curve at a pointpis the slope of the tangent line to the curve atp.

(navigation)

The projection of a flight path in the vertical plane.