haruspex's latest activity

What if we define ##f(x)=1+\ln(x)##, ##g_{n+1}(x)=f(g_n(x))##, ##h_{n+1}(x)=h_n(x)g_n(x)##, with suitable settings for ##g_0, h_0##, for...

I agree.

What do you know about linear transformations and collapse of dimensions?

I think you mean it is not surjective. Or to put it another way, that transformation collapses the plane (x, y) into the line (0, y)...

Why exclude 0? Edit: And what about ##a+b\sqrt5 \to qb+ra\sqrt5##?

I think it is a matter of spotting that G+ is isomorphic to a much more familiar object and applying a standard result. The word...

I am not alone in campaigning against the "rubber sheet" illustration. It gives the impression that masses fall into a depression. Why...

I haven’t checked your iff condition, but taking that to be correct, wouldn’t ##t\ln(t)\ln\ln(t)\ln\ln\ln(t)…## also do?

That’s what I was trying to lead @mr3000 to in post #6, but got no response.

Ok, but I feel it is reasonably clear.

Not necessarily. Can you answer the earlier question I asked?: You were in the ballpark with this remark but that's not quite it.

So where does your interpretation differ from mine in post #4?

Your shifting forward may have been counterproductive. That action, while in progress, would have created a torque tipping the horse...

I feel you may have misunderstood the question. I presume images 1 and 2 show the bottle being continuously filled from a tap, while 3...

Operations like addition and multiplication are only defined for numbers, which are necessarily finite. What if we try to extend those...