Recent content by magic_castle32

The experimental setup is properly calibrated. I just want to know if the pipe diameter, or the 'pointiness' of the tip of the pipe, could influence the pressure. Otherwise we'd have to look into other variables, or other aspects of the set-up.

Need some help regarding fluid flow and pressure detection:To detect blood pressure in a mouse, we usually insert a small pipe with a refined tip into the artery that is connected to a blood pressure detector. However, the problem we have been getting is that the detected blood pressure is lower...

How do you prove the following? 7^{\sqrt{5}} > 5^{\sqrt{7}} Without calculators or working out {\sqrt{5}}, {\sqrt{7}}, of course.

I am wondering as to what are the (regularity) conditions which would permit the interchanging of limits and differentiation (for a sequence of functions)? What about the interchanging of differentiation and integration?

Pi is a creation, rather - and that it popping up everywhere in the world of mathematics, and in physical descriptions, is as mysterious as it is deeply philosophical. Reasons offered depend on which school of thought you belong to, but in practice this doesn't really affect how mathematical...

In which case you need to read it again. And meditate upon it. Perhaps doing some real math would help, too.

I refer you to Timothy Gower's "Mathematics: A Very Short Introduction".

I'm thinking if the spacecraft were to travel in a helix-like motion - that might do the trick. The alien would then be confined to a decreasing area of the spherical planet, and would not be able to cross over to the other side without being seen and shot down by the spacecraft if v > 10u...

I don't think v>10u is a lower bound for v - so that gives us some freedom in choosing the parameters for the problem, perhaps (say, the height of the spacecraft above the planet). Sorry, the question received was phrased in this ambiguous manner =/ I believe the problem is to find a...

Here's a problem which I encountered a while ago: "There is an alien on the surface of a spherical planet. The alien can run at a top speed of u. An alien hunter is hunting the alien in his spaceship which can fly at a top speed of v. Once the hunter sees the alien, he fires, and the alien...