Recent content by Pikkugnome

It is unfortunate that you picked a near miss by one, since it has an obvious parity problem.

Anyways that was my idea, I am not upset when it doesn't work.

If one goes to the limit, then one scoops all the water along the way and nothing else. How can one do any better, because one would have to skip some water droplets to manage that.

And faster one moves more the situation resembles scooping all the water droplets at once, since the duration is reduced.

I have seen running or walking in the rain puzzle many times. I have not seen a quick answer to the question yet. I was provoked, when a newspaper claimed a professor had been studying it a bit and came up an answer. Honestly I doubt anyone has studied. My answer is that one should go as...

My understanding that the F-side of Newton's second law contain forces stemming from interactions. Things like pushing, friction, gravitational pull and so on. These are also governed by Newton's third law. The ma-side connects interactions to change in momentum of a body. Fictional forces do...

Digits of an uncomputable number, as I understand, can't be produced. However all real numbers have rational approximations. Does it mean that there exists a bound for the rational approximation. It is odd to talk about rational approximations in a non-contructive sense, but I am ok with it. I...

I do not really know about the topic, but I don't see an accurate approximation of pi being a thing. If you imagine making a wheel with a lining of metal strip along its perimeter. Is anyone going to measure the radius of the wheel and multiply with 44/7 to get an estimate what is the length of...

I doubt that woodworkers have used precise approximations for pi. A piece of wood longer than one meter is too warped. Has anyone ever seen a wood joint which doesn't grin, if not when build, but soon after.

The part I talk about pulling the blades to the opposite direction is false and what ever followed as well.

I just wanted to highlight the geometric side of the problem. It is not as clean as it should. Maybe my reasoning is false even from geometric point of view. The problem is easy to model as plane geometry, but I have never done it, I have just used the pen in between the blades argument.

I add a little. The constraint is very loose, just an imaginary disc moving slower than the speed of light in between the blades, which seems to prevent the point of intersection moving faster than the light. It is not easy to find physical assumptions, which would be more forgiving. I add...

This is a common exercise stemming from special theory of relativity courses all over the world it seems. Show that the intersection of scissor blades can move faster than the light. If we imagine that we put a pen in between the scissors, touching the blades, and it is sliding without much...

Degree of freedom along a parabola, or any such tame curve, is one from lagrangian mechanics point of view. It makes sense. However how does degree of freedom accompany a space filling curve. Intuitively degree of freedom is not two, since not all motions are possible along the curve. How would...

The root test is stronger than the ratio test, at least if ##\limsup##-version is used. It is based on this inequality: ##\liminf(a_{n+1}/a_n) \le \liminf a_n^{1/n} \le \limsup a_n^{1/n} \le \limsup(a_{n+1}/a_n)##, if every ## a_n## is a positive real number.