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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Individual fractal dimention

I know it could be seen as a very basic question, but, how can I calculate the fractal dimention for individual shapes in a figure?. That is a idealised image basically genrated with cv2.fillPoly(image_blank, pts = np.int32([pol_vert]), color =…
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How can I plot a tube surface with Scilab

I have to draw a tube, aligned along a sine wave in the (x,y) plane. The length and radius of the tube is known. I have read in the Wikipedia page https://en.wikipedia.org/wiki/Channel_surface that this surface is called a "pipe" surface and that…
Stéphane Mottelet
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How to do the animated parametric plot with non-static trail

Application used: everycircuit Example circuits used (the book icon in the left sidebar): : "LED Array", "RC step response" So, the image is of a parametric plot of some quantities on vertical axis (legend indicated by #3 in image), and one…
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is there a way for xarray DataArray to handle variable length arrays

Essentially trying to represent scatter plots with different number of points in traces for example 3 traces y1,y2,y3 that represent 'y=f(x,z)' but x are not all the same size. Question is how to represent s as an xarray DataArray. My attempts are…
user15420598
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How to plot multiple parametric plots in a single figure?

I need to plot a family of parametric curves in a single figure for each alpha values as mentioned in the code import numpy as np from sympy import * from sympy.plotting import plot_parametric import matplotlib.pyplot as plt from…
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How to plot this 2D sinusoidal parametric function

I have a 2D sinusoidal function and I want to plot its boundary threshold of t=0. Could someone give me a hint on how to do it? f (x, y) = sin(10x) + cos(4y) − cos(3xy) x ∈ [0, 1], y ∈ [0, 2], with a boundary threshold of t = 0 The expected plot…
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How would I return a double array of solutions for a complex equation

I have approximations for a series of correlation functions that are described by two variables, theta and Dw. The correlation functions are incorporated into a larger equation, where there are 4 additional variables. These variables are: gyroI,…
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Estimate probability of success and confidence intervals using R

So this table is from a file that I display using the R code: [read.csv()]. Question: I am now ask to estimate the probability of success using the parametric method and calculate its 95% confidence intervals using the exact method according to the…
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How to make plot a curve in Scilab?

Use param3d to plot a curve C1(u)=Au2+Bu+C, which passes through (0,0,0) at u=0, (1,0,0)at u=1, (1/2,1/2, 0) at u=0.5. Have to use param3d .
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Find intersection between parametric spline curve and line

I am fitting a parametric spline curve(t) from a bunch of (x, y) sampling points. How do I compute the intersection point with a line given by slope and one point? In my special case the spline intersects with the line once or not at all but never…
sonovice
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Using least square to fit a parametric curve

I have a curve represented as a parametric function, z(t)=(x(t), y(t)), x=f(t), y=g(t). If I wanna find a approximate curve using least square(using polynomial funtions), am I supposed to get one for x and one for y or just one for z?
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Bayesian parametric survival analysis

Hello Stackoverflowers, I have been working on the equation found in the book: Bayesian survival analysis by Joseph Ibrahim 2001 (Chapter parametric models p40-42). I manage to get a model going with a truncated gamma distribution in R but for the…
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Find one solution of equation via sympy solve()

Is there a way to find one solution of a complicated equation via sympy. It seems finding all the solutions is too sophisticated. I have tried to put quik = True but it does not improve the resolution.
SC_thesard
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Calculating and plotting parametric equations in sympy

So i'm struggling with these parametric equations in Sympy. () = cos() − sin() and () = sin() + cos() with ∈ ℝ∖{0}. import matplotlib.pyplot as plt import sympy as sp from IPython.display import display sp.init_printing() %matplotlib…
matens
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Problem with parametric equation in Python

I am trying to determine a point x,y on a circle with a radius r for which I want to apply a paramteric equation as described on: https://www.mathopenref.com/coordparamcircle.html import math radius = 45 t = 10 x = radius*math.cos(t) y =…
Stücke
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