Recent content by PeroK

Are you saying that if you stick with your original choice then you win 50% of the time?

I think we had a similar thread a couple of years ago. It might be worth searching for it. I don't use hand rules, but remember the configuration of the Cartesian unit vectors.

... because the horizontal component comprises two divergent integrals. Making the limit configuration fundamentally unphysical.

If a veridical paradox were not a paradox, would that itself be a veridical paradox?

... for example, in electrodynamics the field is everything. Griffiths uses this idea extensively. If two fields/forces on a particle cancel, then that is fully equivalent to zero field/force.

Yes. In that case, there will be linear deceleration and rotational acceleration until the state of rolling without slipping is reached.

The cylinder is initially spinning in a clockwise direction. The frictional force on the cylinder is down the incline. This provides a linear acceleration and a rotational deceleration.

:welcome:

There was a British Game show called "Deal or No Deal", which is interesting here. The essential point is that there are 22 boxes, each with a prize ranging from £0.01 to £250,000. The main contestant picks a box at random. Then, gradually the other boxes are opened to reveal what the...

It changes the probabilities because it changes the relative frequencies, which one can calculate. In other words, you play the game many times, you count what happens and the numbers tell you the probabilities. If the measured probabilities differ in two scenarios, then you can't argue...

Someone should have told him that AI is not capable of replacing humans! Hasn't he read the PF Insights on this?

That argument fits the Monty Hall game, as generally understood. But, there are alternative ways to play where that argument fails. The obvious one is where Monty only offers a switch when he knows you have picked the car door. And, the subtler one is the so-called Monty Fall problem, where...

Duvall won an Oscar for best actor in a leading role in Tender Mercies (1983). Strangely, the other nominees were all British. Even more strangely, Al Pacino (Scarface) and Robert de Niro (The King of Comedy) were not even nominated. Scarface is not my sort of film, but Pacino's performance...

It's only paradoxical if you insist on manipulating numbers without thining about what the numbers mean. There was a viral problem in a Chinese exam that exploited this.

Intensity is the amount of power per unit area. Frequency in classical EM relates to the speed of oscillation of the electric and magentic fields. And, is inversely proportional to wavelength. There is no direct correlation between the intensity and frequency/wavelength.