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The neiloid form often applies near the base of tree trunks exhibiting root flare, and just below limb bulges. The formula for the volume of a frustum of a neiloid: [25] V = (h)[A b + (A b 2 A u) 1/3 + (A b A u 2) 1/3 + A u], where A b is the area of the base and A u is the area of the top of the frustum. This volume may also be expressed in ...
Of particular interest is the parabolic curve. A spreadsheet application of this for parabolic curves has been developed by NTS. The spreadsheet fits a parabola to 4 or more points (up to 10 allowed) using the least squares method and then calculates the limb length (s) using Simpson's Rule to evaluate the definite integral. [18] [19]
Origin is primarily a GUI software with a spreadsheet front end. Unlike popular spreadsheets like Excel, Origin's worksheet is column oriented. Each column has associated attributes like name, units and other user definable labels. Instead of cell formula, Origin uses column formula for calculations.
3D and volume visualization, Curve and peak fitting, Signal processing, Image processing ILNumerics: Math library for .NET / C#: GPL / proprietary: No 2006: June 11, 2015 / v4.8: Windows and Linux: Math library with rich visualization features (interactive 3D scenes, scientific plotting) and MATLAB-like syntax. Ipe: GUI, XML: GPL: Yes 1993 ...
The curve can also be shown in non-dimensional or standardized form by scaling elevation and area by the maximum values. The non-dimensional hypsometric curve provides a hydrologist or a geomorphologist with a way to assess the similarity of watersheds — and is one of several characteristics used for doing so. The hypsometric integral is a ...
Spaces within a formula must be directly managed (for example by including explicit hair or thin spaces). Variable names must be italicized explicitly, and superscripts and subscripts must use an explicit tag or template. Except for short formulas, the source of a formula typically has more markup overhead and can be difficult to read.
Vincenty's formulae are two related iterative methods used in geodesy to calculate the distance between two points on the surface of a spheroid, developed by Thaddeus Vincenty (1975a). They are based on the assumption that the figure of the Earth is an oblate spheroid, and hence are more accurate than methods that assume a spherical Earth, such ...
The Penman equation describes evaporation (E) from an open water surface, and was developed by Howard Penman in 1948. Penman's equation requires daily mean temperature, wind speed, air pressure, and solar radiation to predict E. Simpler Hydrometeorological equations continue to be used where obtaining such data is impractical, to give comparable results within specific contexts, e.g. humid vs ...