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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...

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Hi, I've often looked at this site for many interesting discussions, especially around math books. And often felt like I didn't have...

Exactly. Good point. It is the "filtering" action of the rule that makes the difference. With the rule, you know that if the remaining...

Well, the automated system defines the same rules. The strategy in any of the Monty Hall variants depends on knowing the rules and can...

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...

I was a bold teenager who had flashes of insight. I am now a retired mathematician who is not as fast but still original.

It isn't paradoxical if you have ever boiled sap to make maple syrup. The raw sap is 2 or 3 percent sugar, depending on the tree. If...

It is relevant because it changes the conditional probabilities and the amount of information received. There is still some information...

It changes the probabilities because it changes the relative frequencies, which one can calculate. In other words, you play the game...

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

Yesterday, Thursday, Jack Dorsey, CEO of financial Tech company Block, is releasing 4000 persons from its 10,500 workforce. He said on...

That argument fits the Monty Hall game, as generally understood. But, there are alternative ways to play where that argument fails...

Duvall won an Oscar for best actor in a leading role in Tender Mercies (1983). Strangely, the other nominees were all British. Even...