Stack Overflow
Stack Overflow

Questions tagged [hermite]

Charles Hermite (French pronunciation: ​[ʃaʁl ɛʁˈmit]) (December 24, 1822 – January 14, 1901) was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

Charles Hermite (French pronunciation: ​[ʃaʁl ɛʁˈmit]) (December 24, 1822 – January 14, 1901) was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic functions, and algebra.

Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor. One of his students was Henri Poincaré.

He was the first to prove that e, the base of natural logarithms, is a transcendental number. His methods were later used by Ferdinand von Lindemann to prove that π is transcendental.

In a letter to Thomas Stieltjes in 1893, Hermite famously remarked: "I turn with terror and horror from this lamentable scourge of continuous functions with no derivatives."

Wikipedia: http://en.wikipedia.org/wiki/Charles_Hermite

40 questions
9
votes
3 answers

Drawing Hermite curves in OpenGL

How can I draw Hermite curves using OpenGL, are there any built in functions? I saw some examples on-line that show how to use evaluators to draw Bezier curves but could not find any information for Hermite curves.
sureshanna nayeemani
5
votes
2 answers

Cubic hermit spline interpolation python

I would like to calculate a third-degree polynomial that is defined by its function values and derivatives at specified points. https://en.wikipedia.org/wiki/Cubic_Hermite_spline I know of scipy's interpolation methods. Specifically splprep to…
lukaskrieger
  • 466
  • 4
  • 13
5
votes
1 answer

How do Catmull-Rom and Hermite splines relate?

I'm a little confused as to how they relate. From my class, my professor asked how to fit C1 continuous piecewise Hermite curves to x amount of points with automatically computed tangents. Can someone explain how this works?
minionhacking
  • 145
  • 3
  • 10
3
votes
1 answer

Haskell Hermite polynomials implementation

Haskell allows to represent recurrent functions in a very concise way. For example, infinite list, that contains Fibonacci numbers can be defined as follows: fibs :: [Integer] fibs = 1 : 1 : zipWith (+) fibs (tail fibs) I am dealing with…
Aleksandr Samarin
  • 275
  • 3
  • 8
3
votes
1 answer

What algorithm is used to implement HermiteH function (mathematica)

I need to port a numerical simulation written in Wolfram Mathematica to another language. The part that is giving me trouble is that the code is calling the HermiteH function with a non-integral order (the parameter n is a fractional number, not an…
aleator
  • 4,436
  • 20
  • 31
2
votes
1 answer

Hermite interpolation polynom in MATLAB

Anyone know where i find the Hermite interpolation algorithm in MATLAB. Which Hermite interpolation algorithm solve this? I need to calculate a polynom. Example (just…
user52376
  • 27
  • 1
  • 5
2
votes
1 answer

Implement hermite interpolation - multiplayer game

I am trying to make a client-server architecture. I am stuck at the interpolation part. Right now, I have a very naive implementation of the interpolation algorithm. I have every player given a position history and whenever I receive a position data…
user278077
  • 59
  • 6
2
votes
1 answer

How to import special.hermite from scipy?

I'm looking to import a hermite polynomial. When I check the documentation on the scipy website it's available. However, when I try to import it there is no module found
Tim_h11
  • 67
  • 7
2
votes
2 answers

Resize & compress uploaded image in JavaScript

I'm building a website which will have a lot of user uploaded images. I would like to resize and compress (preferably change their format to .jpg) these images client side, before uploading them to a server. How would one go about doing this? I have…
Spankaroonie
  • 135
  • 1
  • 2
  • 11
2
votes
1 answer

Hermite Interpolation

I am trying to interpolate between 4 points using a Hermite spline. However my spline seems to always start on the second point and only interpolate to the 3rd point. I have tried this with several differnt calculations and keep getting the same…
OT2O
  • 59
  • 1
  • 13
2
votes
1 answer

multivariable hermite spline

I know how to do bicubic patch from 16 control points ( i.e. 4x4 grid) like B-spline, Catmull–Rom, Besier ... However, I would like rather something like 2D/3D analogy to Hermite spline described by 4 control points (p00,p01,p10,p11) and 4 normals…
Prokop Hapala
  • 2,424
  • 2
  • 30
  • 59
2
votes
1 answer

Array of hermite values in numpy

I have a data structure that looks like a list values and I am trying to compute the (x,y) 2d hermite functions from them using numpy. I'm trying to use as many numpy arrays as possible due to the performance boost you get from getting to Fortran as…
webb
  • 450
  • 1
  • 3
  • 12
2
votes
1 answer

In Maxima, how do I express the recurrence for the hermite polynomials?

I'm trying to tell maxima about a recurrence relation for the hermite polynomials: My first expression is like this: phi[0]:exp(-1/2*x^2); phi[1]:sqrt(2)*x*phi[0]; wxplot2d([phi[0],phi[1]], [x,-5,5]); So far so good, but I'd like now to define…
John Lawrence Aspden
  • 17,124
  • 11
  • 67
  • 110
1
vote
0 answers

1D finite element method in the Hermite basis (P3C1) - Problem of solution calculation

I am currently working on solving the problem $-\alpha u'' + \beta u = f$ with Neumann conditions on the edge, with the finite element method in MATLAB. I managed to set up a code that works for P1 and P2 Lagragne finite elements (i.e: linear and…
MagicLudo
  • 21
  • 2
1
vote
1 answer

Сonvert the coefficients of the Hermite polynomial into a function

I want to make a function from the output of Matlab Hermite function (for example, if we had an output from Hermite function [8 0 -12 0] it would be 8x^3 - 12x polynomial) and then integrate this function using the Simpson's 3/8 Rule. I have already…
lizsav
  • 75
  • 4
1
2 3