Search results
Results From The WOW.Com Content Network
Definition 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, 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.
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".
A slope field (also called a direction field [1]) is a graphical representation of the solutions to a first-order differential equation [2] of a scalar function. Solutions to a slope field are functions drawn as solid curves. A slope field shows the slope of a differential equation at certain vertical and horizontal intervals on the x-y plane ...
The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0, the line is the graph of the function of x that has been defined in the preceding section. If b = 0, the line is a vertical line (that is a line parallel to ...
Definition. Mathematically, the line (or path) of greatest slope from a point is determined by the gradient of height, taken as a potential field with respect to an acceleration from the force of gravity. Lines of greatest slope are analogous to lines of force acting to accelerate an object downward at that point. [citation needed]
The Western Slope region is sparsely populated, containing 38% of Colorado's area but only 10.7% of its population. The region had a population of 563,138 in July 2013, an increase of 0.6% on the previous year, and had a low growth rate over the previous three years compared to the rest of the state. [6]
In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form – appear as straight lines in a log–log graph, with the exponent corresponding to the slope, and the coefficient ...
Principle An illustration of why sloped armour offers no weight benefit when protecting a certain frontal area. Comparing a vertical slab of armour (left) and a section of 45° sloped armour (right), the horizontal distance through the armour (black arrows) is the same, but the normal thickness of the sloped armour (green arrow) is less.