Recent content by Kumar8434

Let's just talk about unit quaternions. I know that $$\left(\cos{\frac{\theta}{2}}+v\sin{\frac{\theta}{2}}\right)\cdot p \cdot \left(\cos{\frac{\theta}{2}}-v\sin{\frac{\theta}{2}}\right)$$ where ##p## and ##v## are purely imaginary quaternions, gives another purely imaginary quaternion which...

What multiplication basically achieves in these situations counting the units. Draw a 1cm x 1cm square and call its size 1 unit area. You can't measure how big the unit is. You can only take a look at it and see how big it is. However, you can measure the size of other surfaces in terms of the...

I personally don't think saying that something can't be known and true at the same time is the same saying something is an unknowable truth. The sentence 'p is an unknown truth' is just a clever sentence which is no longer true when p is known. This sentence is not really an unknowable truth...

Let's not make it complicated. The person just has an infinite list of truths. They can read whichever truth they want.

So you're saying that there can't be a finite number of truths. But I don't think that makes much difference. In such a universe, infinite number of truths written on different pieces of paper are floating in the universe. All papers are numbered. The person has a device in which they have to...

https://en.wikipedia.org/wiki/Fitch's_paradox_of_knowability It begins by assuming that 'All truths are knowable' and then logically proves that that assumption means 'All truths are already known.' The proof is like this: Suppose p is a sentence that is an unknown truth; that is, the sentence...

Force awakens was fun but fun-movies can only mint money, it'll not be remembered like the original trilogy. But I'm sure they won't remake ESB.

Honest trailers named Force awakens 'Star wars: A familiar hope' lol. It was almost a remake but it sure was entertaining. I think the next two movies should be original. I'll lose interest if they remake again.

Watch the honest trailer Force awakens borrows too many things from A New Hope

It was the same as A New Hope. It was not just to induce nostalgia, they actually copied crucial plot points.

Oh, thanks a lot. Terrible mistake.

I was reading this wikipedia article: https://en.wikipedia.org/wiki/Ant_on_a_rubber_rope In the analytic solution section, it says that, at time ##t##, a point at ##x=X##, i.e. initially at a distance ##X## from the starting fixed point on a uniformly expanding rope moves with a speed...

I have a great explanation of parameters. I read it on a website: For every degree above 70, our convenience store sells ##x## bottles of sunscreen and ##x^2## pints of ice cream. We could write the algebra relationship like this: And it’s correct… but misleading! The equation implies...

I think there's not enough information in this problem to calculate probabilities. Thank you all.

We calculate probabilities based on what we know and not on what more we could know. Suppose we are asked to choose any number between 1 to 100. One correct number wins. So, for all we know, we have a ##\frac{1}{100}## chance of winning. But if we knew that the person, who designed the game...