Doug, copying from your site, df/dt = (∂f/∂x)(dx/dt) + (∂f/∂y)(dy/dt) + (∂f/∂z)(dz/dt) that is relatively sort on paper is actually a mouthful when spoken. You might also recall your professor speaking it as follows, nearly turning blue at the end: dee-f dee-t *equals* the partial of f with respect to x, times dee-x dee-t * plus* the partial of f with respect to y, times dee-y dee-t *plus* the partial of f with respect to z, times dee-z dee-t That is actually an abbreviated form already, because the more complete way to say it would be: the derivative of f with respect to t *equals* the partial derivative of f with respect to x, times the derivative of x with respect to t *plus* the partial derivative of f with respect to y, times the derivative of y with respect to t *plus* the partial derivative of f with respect to z, times the derivative of z with respect to t df/dt = (∂f/∂x)(dx/dt) + (∂f/∂y)(dy/dt) + (∂f/∂z)(dz/dt) Something closer to the full spoken form you have above could be dft = ∂fx*dxt + ∂fy*dyt + ∂fz*dzt, which doesn't have (or need) all the redundant d's and ∂'s. stevo On Sat, Jun 12, 2010 at 5:17 PM, Douglas Treadwell <[log in to unmask] > wrote: > Gary, even then though it's a lot of syllables. There's got to be a way to > shorten it. I came up with something you can see at > www.dougtreadwell.com/calculish.htm. Let me know what you think. > > - Doug > > > > > ________________________________ > From: Gary Shannon <[log in to unmask]> > To: [log in to unmask] > Sent: Mon, June 7, 2010 9:09:54 PM > Subject: Re: Improved Language for Mathematics > > As a retired engineer, it seems to me that once you understand what > "dee ex, dee tee" means it would be no more cumbersome than any other > collection of sounds we might utter. For me it was more the concept of > limits as dt->0 than the way a symbol is read that was the real > challenge. > > Once I learned to "speak math", myself and my fellow engineers had no > trouble at all "conversing" in math. As for the second derivative, > where I worked at least we tended to say "dee-two-ex, dee-two-tee", > not altogether dissimilar to "are-two-dee-two" or "see-three-pee-oh". > > --gary > > On Mon, Jun 7, 2010 at 8:59 PM, Douglas Treadwell > <[log in to unmask]> wrote: > > Anyone here have any ideas about better ways of verbalizing calculus > equations? For example dx/dt is normally said as "the derivative of x with > respect to t" or "dee ex, dee tee", but both are cumbersome. It gets even > worse when you have d^2x/d^2t, "the second derivative of x with respect to > t" or "dee squared ex, dee squared tee", etc. I'm interested in any > suggestions you might have. > > > > - Doug > > >