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How to find a perfect regression fit in R?
I have a set of points, which I know can be described with some equation. How can I find this equation? The scatter plot for this set looks like this: I look at the plot and assume that I can use a...
View ArticleTNB Frames (Principal Normal Vector)
From the way I’m looking at it, there should be two ways to find the principal normal vector of a plane curve $C$ given by vector equation $$ pmb{r}(t) = x(t)pmb{i} + y(t)pmb{j} + 0pmb{k}. $$ That is,...
View ArticleCatenary calculation
I have a catenary wire with the following known factors: P: horizontal force in wire u: weight/mtr s: catenary length v: height difference between y1, y2 From statics follows: y= a cosh (x/a) with a=...
View ArticleFinding an equation for a s curve
I am doing graduate research on chemical production rates and I need to reproduce a logistic decay function. I have 3 points, an upper and lower limit, and an inflection point. upper limit: 3.3 lower...
View Articlesubsheaf of free sheaves
Let $X$ be an irreducible nodal curve, $E:=oplus_{i=1}^r mathcal{O}_X$ be a free sheaf on $X$ and $F subset E$ a (coherent) subsheaf. Is it possible to write $F$ as a direct sum of subsheaves...
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How do I quantify the curvature of a touch swipe?
I’m implementing a touch controller for my game. I am attempting to imitate Tiki Taka Soccer‘s “ball shooting” controls (gameplay video), where the curvature of the player’s swipe affects the curve of...
View ArticlePoints evenly spaced along a bezier curve
I have looked around for a while and I can’t find a solution to this problem. Let’s say I have a cubic bezier curve (defined by 4 points) and I want to get a set of points that are spaced evenly along...
View ArticleWhy are my Mecanim animation curves not staying within the entered range?
I have an in-place animation that I added curves to (In the rigged FBX which has the animation). I created 2 float parameters in the relevant controller with the same names as the curves in the...
View ArticleFinding the parametric representation of a curved surface [on hold]
Find the parametric representation of a curve that traverses the curved surface of a cylinder radius $2$, starting at $P_1=(2,0,0)$ and ending at $P_2=(2,0,-pi)$ after $1$ orbit. Really stuck on where...
View Articleconstructions over rotation surfaces in $mathbb{R}^3$
Let $f: (0, infty) times mathbb{R} to mathbb{R}$ be continuously differentiable, and $nabla f(x) ≠ 0$ on the set $M = f^{-1}(0)$. (Which means that $M$ is a 1-dimensional manifold of the...
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What's the most optimized way to transform series of points into curves in...
I’m working on a video game where I need to display a map (in 2D) of an actual big European city (Paris, London, Madrid… that kind of big) and the player, displayed as a simple dot on the map, can take...
View ArticleShow that a curve $r(t)$ is a straight line if $r'(t)$ and $r''(t)$ are...
Show that a curve $r=r(t)$ of class $C^m ; (mgeq 2)$, where $t$ is arbitrary, is a straight line if $r’(t)$ and $r”(t)$ are linearly dependent for all $t$. So if $r’$ and $r”$ are linearly dependent,...
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How to model/predict discrete curve locations from numerical and categorical...
I want to find the principal “parameters” driving the relative location of a set of $K$ discrete curves (observables, dependent variables). The data shape is as follows: n n c c o e1: a1 b1 m1 n1...
View ArticleWhat's the best method to change colours in a photo to another specific color?
What is the best way to change the colours in a photo to a specific colour? Specifically, how can we change the colours using Curves or Levels Layer? Here are few examples for understanding: orange...
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Check if a point is touching a user drawn curve in HTML5 canvas
I am having trouble detecting whether a ball is colliding with a red curve. The curve below is an example of what a user may draw on to the canvas. I can’t think of any fast ways to detect collision...
View ArticleWhat's the best method to change colours in a photo to another specific color?
What is the best way to change the colours in a photo to a specific colour? Specifically, how can we change the colours using Curves or Levels Layer? Here are few examples for understanding: orange...
View ArticleA question on polynomials
Let $f(x,y) = ({x^2} + {y^2})p{(x,y)^2} – q{(x,y)^2}$ and $p$ and $q$ are two polynomials. Is it true that; $frac{{partial f}}{{partial x}}$ and $frac{{partial f}}{{partial y}}$ don’t have a common...
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How to saving and loading animation curves
Is there any way to save an animation curve by playerprefs ? The animation curves in the inspector reset each time the script is changed (public variables added) I want record my animation In runtime...
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