JEE Maths Zone - 2019-08-28

« first day (494 days earlier) ← previous day next day → last day (1716 days later) »

Advil Sell

2:39 AM

@Mann sorry I slept :'D , I was asking why what property of Infinity make it undefined ?

5 hours later…

Mann

8:03 AM

@AdvilSell

Not having enough properties is making it undefined

Let me give you an example

Suppose f is a function

And alpha is real number which is not integer

What is $f^{\alpha} $

The reason you can't say is because it's not properly define. Though you may get some intuitive ideas on how one could define it. Sure you can go on that way but it doesn't mean the definition already existed in your knowledge. You are creating a new one.

2 hours later…

Advil Sell

9:48 AM

I still don't get it, what's the problem in defining (1/a)^infinity=0 for all a:{0,infinity} and a:I??

@Mann

I am asking why isn't it defined properly ?

1 hour later…

Mann

11:03 AM

@AdvilSell I don't know. Perhaps you could do that in extended real numbers indeed, where the symbol $\infty$ is defined.

But we don't know If it will cause any inconsistencies elsewhere or not

@AdvilSell and it's not the case that everything is defined so easily. Look at this article

Exponentiation

Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent or power n. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying n bases: b n = b × ⋯ × b ⏟ n...

And see how they proceed from natural number, to integers, to rational number, to real number.

Using only the fundamental notion of addition, subtraction, multiplication and division and limit.

Now the idea is, can you the same kind of thing for the symbol infinity? Is it required to maintain such consistency? There are so many underlying question.

3 hours later…

YUSUF HASAN

2:23 PM

@Mann You were busy yesterday,but I was just asking... R u going for that PhD? In thermofluids?

Mann

2:45 PM

@YUSUFHASAN most likely

Or mathematics

Lucifer

3:32 PM

Jasmine

@Lucifer Hello

Lucifer

New here

Can you answer my Q please

Jasmine

@Lucifer I can try if you have a JEE level question

Lucifer

Yes

@Jasmine can i post a link here

Jasmine

@Lucifer yes

Simply ask , dont ask if you can ask :)

Lucifer

3:41 PM

Q: Doubt in a question of ‘statics’ (forces acting at a point)

( https://imgur.com/Mt3JJ8T ) ( https://imgur.com/esbo0zw ) I solved many questions on this topic from my college book but i stucked at this. In triangle OAC ans OC'A' it says OB=OB' (ohkay) Then, triangle OAC =_ triangle OC'A' I don't get the bold text, i mean which property is used there.Wh...