Why do some mathematicians wear a white coat? Are they afraid to be splashed by an integral? (Read on Twitter)

If you run into someone wearing a white coat who tells you something like

*e raised to minus 3 by zero point five plus x squared plus y squared between two plus e raised to minus x squared minus y squared between two by cosine of four by x*

do not be afraid: is just a harmless mathematician waving to you. Look at this:

This is the code to draw these mathematical greetings:

levelpersp=function(x, y, z, colors=heat.colors, ...) { ## getting the value of the midpoint zz=(z[-1,-1] + z[-1,-ncol(z)] + z[-nrow(z),-1] + z[-nrow(z),-ncol(z)])/4 ## calculating the breaks breaks=hist(zz, plot=FALSE)$breaks ## cutting up zz cols=colors(length(breaks)-1) zzz=cut(zz, breaks=breaks, labels=cols) ## plotting persp(x, y, z, col=as.character(zzz), ...) } x=seq(-5, 5, length= 30);y=x f=function(x,y) {exp(-3*((0.5+x)^2+y^2/2))+exp(-x^2-y^2/2)*cos(4*x)} z=outer(x, y, f) z[z>.001]=.001;z[z<0]=z[1,1] levelpersp(x, y, z, theta = 30, phi = 55, expand = 0.5, axes=FALSE, box=FALSE, shade=.25)