Questions tagged [parametric-equations]

A parametric equation is a mathematical definition of a set of values defined by a function of one or several parameters. They are frequently used for defining curves by using a parametrized function defining the coordinates of the curve's points.

A parametric equation is a mathematical definition of a set of values defined by a function of one or several parameters. They are frequently used for defining curves by using a parametrized function defining the coordinates of the curve's points.

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Equation solving in terms of a parameter in R

I have the following equation I'd need to solve for η: where the parameter θ is unknown (the general problem is to estimate it), and the vector h depends on that parameter, and a vector of known values y. What ideally I would like to get is the…
Ayeron
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Can gnuplot accept 3 or more time parameters?

I'd like to plot this equation: x(t,u,v) = ((cos(u)+2)cos(v))cos(a) + ((sin(u)+2)cos(t))sin(a) y(u,v) = (cos(u)+2)sin(v) z(t,u) = (sin(u)+2)sin(t) I haven't seen any examples of someone using 3 parameters, but it seems like it would be possible.…
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R using rgp symbolicRegression for equation discovery

I am trying to use the package rgp for equations discovery library(rgp) x = c (1:100) y = 5*x+3*sin(x)+4*x^2+75 data1 = data.frame(x,y) newFuncSet <- functionSet("+","-","*") result1 <- symbolicRegression(y ~ x, data = data1, functionSet =…
adam.888
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How to render a sphere with triangle strips

I'm currently going through this tutorial on rendering shapes WebGL (specifically a sphere in this case) and I understand the math behind the generation of each point on the sphere. In the tutorial though, the author defines one method to find all…
loremIpsum1771
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Library for fitting parametric curves

Does anyone know of a library (any language, though preferably python/R/matlab) for parametric curve fitting, i.e. if you have a set of points in the plane {(x_i,y_i)} you can find parameter estimates for two (polynomial) functions y=f_y(t) and…
kezz_smc
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Getting angles along with the length of lines at points on a spiral using matlab / octave

I'm trying to get various angles (theta in blue on the picture) along with the length of the lines (the red dot is the end point from zero) See pic below Please note I'm trying to get more than just one angle and more than just one length from…
Rick T
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Tool to generate parametric equations

I'm looking for a tool that allows me to create shapes (along the lines of a rendering application) which will also generate the parametric equations of the various shapes. I need to use it for some Java3D work I've been doing. Normal shapes…
Saf
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How to plot parametric functions between infinite limits?

How to plot these parametric functions with infinite limits to get a circle using matlab? x(t)=2t/(1+t.^2) y(t)=(1-t.^2)/(1+t.^2)
mecaeng
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customized training loop parametric optimization

I implemented a custom training loop for a custom loss function that also incorporates the constraints of an unsupervised parametric optimization problem. The corresponding training loop creates then multiple epoch_loss outputs (the amount of the…
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Parametric tests in the Brown and Warner article

In the article by Brown and Warner (1980) How did the use of non-parametric tests impact the performance of the market-adjusted return model ? The non-parametric tests have quite a few misspecifications and are less restrictive so could there be…
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How to apply Least Squares for curve fitting of Parametric Polynomial Cubic Curve

Given the parametric planar curve, r(u)=(x(u), y(u)) whereby x=f(u), y=g(u), perform curve fitting to find an approximation to r(u) with a parametric polynomial cubic curve. Will need to apply Least Squares estimation to solve the…
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Can I use interval censoring data at XGBSE module?

In survival analysis using xgboost/aft, interval censoring data can be applied in input forms like ['lower bound time', 'upper bound time'], where np.inf also can be used as 'upper bound time' values. I am searching how the interval censoring data…
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Gnuplot : convert or rewrite parametric or polar functions for the palette linecolor

What are the rules to formulate either polar or parametric equations in gnuplot such that the palette linecolor can be used? This post explains the plotting of some parametric equations I am interested in, and I would like to rewrite that plot using…
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Unable to render parametric equations in Manim

When I attempt to render the parametric equations: x = 0 y = t z = t, Manim does not plot them. Is something wrong with manim's installation on my computer, something wrong with my code, or something else I may have missed? Here is my code: from…
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Parametrized surface plot in matplotlib

so I've been trying to plot this surface, that is parametrized in disk-cyclide coordinates: But I've been getting an error saying that Z must be 2 dimensional. How can I make it that way while it is parametrized by 3 variables? Using this…