User:Sam Derbyshire

${\color{white}. \quad \;}e^{i \pi}$

This user is a mathematician.

${\color{white}. \,}\hat{H}\Psi = E \Psi\,$

This user is a scientist.

${\color{white}. \; \,}A \rightarrow B$

This user is a determinist.

${\color{white}. \qquad}?$

This user is a philosopher.

${\color{white}. \qquad}\circ$

This user is a perfectionist.

${\color{white}. \quad}\Box$

This user needs one more userbox.

Welcome to my user page.

[edit] My gallery

Various 2D plots/animations
Second degree rational curve	Third degree rational curve	Fourth degree rational curve	Acnode
Crunode	Tacnode	Animation of hyperbolic functions	Swastika curve
Construction of a fifth order Bezier curve	Interpolation of Bezier curves	Van der Pol oscillator	Construction of a cobweb diagram
Cobweb diagram animation for the logistic map	Construction of an envelope of a family of curves	Construction of a roulette : Cissoid of Diocles	Construction of a roulette (variant)
An hypotrochoid	Pedal curve of an ellipse	Pedal curve of a circle (limaçon)	Negative pedal curve of the limaçon (circle)
Evolute of an ellipse (astroid)	Evolute of a tractrix (catenary)	Involute of a catenary (tractrix)	Evolute of an epicycloid (epicycloid)
Involute of an epicycloid (epicycloid)	Contrapedal of an ellipse	Same curve : pedal of the evolute of the ellipse

Epitrochoids and hypotrochoids
Limaçon
		Cardioid	Nephroid

Limaçon
		An hypotrochoid with a bigger inner circle : gives the same figure as an epitrochoid	Again : here, a nephroid

Deltoid	Astroid

Lambert W Function
Real part	Imaginary part	Absolute value	Combined

Natural logarithm
Real part	Imaginary part	Absolute value	Combined

Exponential function
Real part	Imaginary part	Absolute value	Combined

Gamma function
Real part	Imaginary part	Absolute value	Absolute value small version

Log of the Gamma function
Real part	Imaginary part	Absolute value

Convergence and residues
Complex residues	Radius of convergence and Taylor series	Cosine function	Taylor approximation of the cosine function
Taylor cosine approximation (animation)	A graph explaining the values of x^y at (0,0)

Miscellaneous
A surface showing a global maximum	A surface showing a local maximum, only critical point, but not global maximum

Most of these images have been created with MuPAD, here is some example code. Feel free to mess with it, and don't hesitate to talk about it.