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Water retention curve is the relationship between the water content, θ, and the soil water potential, ψ. The soil moisture curve is characteristic for different types of soil, and is also called the soil moisture characteristic. It is used to predict the soil water storage, water supply to the plants (field capacity) and soil aggregate stability.
Béziergon – The red béziergon passes through the blue vertices, the green points are control points that determine the shape of the connecting Bézier curves. In geometric modelling and in computer graphics, a composite Bézier curve or Bézier spline is a spline made out of Bézier curves that is at least continuous. In other words, a ...
The mathematical basis for Bézier curves—the Bernstein polynomials—was established in 1912, but the polynomials were not applied to graphics until some 50 years later when mathematician Paul de Casteljau in 1959 developed de Casteljau's algorithm, a numerically stable method for evaluating the curves, and became the first to apply them to computer-aided design at French automaker Citroën ...
Finally, both lines are plotted on the Ashby chart. Figure 3. Ashby chart with performance indices plotted for maximum result. First, the best bending materials can be found by examining which regions are higher on the graph than the / bending line. In this case, some of the foams (blue) and technical ceramics (pink) are higher than the line.
This is a list of Wikipedia articles about curves used in different fields: mathematics ... Cardiac function curve; Dose–response curve; Growth curve (biology)
These data are combined for all the streams in the plant to give composite curves, one for all hot streams (releasing heat) and one for all cold streams (requiring heat). The point of closest approach between the hot and cold composite curves is the pinch point (or just pinch) with a hot stream pinch temperature and a cold stream pinch ...
Curve fitting [1] [2] is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, [3] possibly subject to constraints. [ 4 ] [ 5 ] Curve fitting can involve either interpolation , [ 6 ] [ 7 ] where an exact fit to the data is required, or smoothing , [ 8 ] [ 9 ] in which a "smooth ...
The curve can be found from a profile trace by drawing lines parallel to the datum and measuring the fraction of the line which lies within the profile. [ 1 ] Mathematically it is the cumulative probability density function of the surface profile's height and can be calculated by integrating the probability density function .