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English: The image shows an example of a ternary plot. The example shows the compositions for soil made out of sand, silt, and clay. Lines representing compositions with a constant amount of silt are drawn in at 25% intervals. Drawn to replace File:Ternary.example.axis.1.jpg. Made via a Python script using Matplotlib and the ternary library.
The Fanno line defines the possible states for a gas when the mass flow rate and total enthalpy are held constant, but the momentum varies. Each point on the Fanno line will have a different momentum value, and the change in momentum is attributable to the effects of friction. [4]
The Cole–Cole equation is a relaxation model that is often used to describe dielectric relaxation in polymers.. It is given by the equation = + + ()where is the complex dielectric constant, and are the "static" and "infinite frequency" dielectric constants, is the angular frequency and is a dielectric relaxation time constant.
In enzyme kinetics, a secondary plot uses the intercept or slope from several Lineweaver–Burk plots to find additional kinetic constants. [1] [2]For example, when a set of v by [S] curves from an enzyme with a ping–pong mechanism (varying substrate A, fixed substrate B) are plotted in a Lineweaver–Burk plot, a set of parallel lines will be produced.
In consequence, the reaction rate constant increases rapidly with temperature , as shown in the direct plot of against . (Mathematically, at very high temperatures so that E a ≪ R T {\displaystyle E_{\text{a}}\ll RT} , k {\displaystyle k} would level off and approach A {\displaystyle A} as a limit, but this case does not occur under practical ...
The following MATLAB code will plot the root locus of the closed-loop transfer function as varies using the described manual method as well as the rlocus built-in function: % Manual method K_array = ( 0 : 0.1 : 220 ). ' ; % .' is a transpose.
The left plot, titled 'Concave Line with Log-Normal Noise', displays a scatter plot of the observed data (y) against the independent variable (x). The red line represents the 'Median line', while the blue line is the 'Mean line'. This plot illustrates a dataset with a power-law relationship between the variables, represented by a concave line.
A Nichols plot. The Nichols plot is a plot used in signal processing and control design, named after American engineer Nathaniel B. Nichols. [1] [2] [3] It plots the phase response versus the response magnitude of a transfer function for any given frequency, and as such is useful in characterizing a system's frequency response.