/sqt/ - Stupid Questions Thread: Ask the Math Oracle

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Why ar u gai

How important is it to know statics well as a mech engr major?

If I finish this semester without properly having learned it, am I gonna pay for it later?

Ok I am totally new to math. And this will sound really stupid. But is there any equation with actual numbers that will actually get you pi? That is, where you can divide one number from another and actually get 3.1415926535....etc? I'm not talking about approximations like 22/7, but where you get the actual result of pi

How can repeating numbers exist?

does the definition of pi count? as in take any circle and divide its circumference by its diameter and you get pi.

if you're looking for a rational number a/b with a and b being whole numbers you won't find any since pi is irrational

they dont have to be whole numbers, could be really long decimal numbers. im just looking for an equation that will get you pi, with actual numbers

For a sequence such as [math]0, 1, 2, 3, 4, 5, 6, ...(n - 1) / 2[/math], what is the relationship called between any given term of the sequence and some kind of deterministic conversion, e.g. for a term [math]a: j = a * 2 + 3[/math] will produce all the odd numbers through the range of [math]n[/math] starting from 3.

Secondly, what would you call the "base" of the sequence? It's represented in base 10, but, for example, to convert [math] j^2[/math] to the sequence's "base", you'd need to take the relationship [math] (j^2 - 3) / 2[/math], so for example [math]j^2 = 49 = 7^2[/math], so to convert back to the sequence value, you take [math](7^2 - 3) / 2 =23 = An[/math]

...

ALGEBRAISTS IN HERE HELP A NIGGA OUT

So, hol up, lemme get this straight, if I want to create an extension field of Q to find a zero of (x^2-2), is this how I would do it::!!!

x^2-2 is irreducible over Q, with Eisenstein = 2, thus is a maximal ideal of Q[x], and Q[x]/ is a field. We identify q in Q with q + in Q[x]/. Hence we have an extension field of Q. Now, in Q[x]/, we let a = x + . Calculating a^2-2 we get 0, and baddabing baddaboom, we did it. Read the theorem, and I think I understood the construction well, and this is how it's done in practice, right?

>they dont have to be whole numbers, could be really long decimal numbers.

no

>im just looking for an equation that will get you pi, with actual numbers

define actual numbers, but, no