/sci/ - Science & Math

Super Pi

symbol for product over the range of values stated

product, kinda like sigma for sums, for example:<div class="math">k! = \prod_{n = 1}^{k} n</div>At least im pretty sure

You know how Sigma tells you to add all the numbers?
This tells you to multiply them.

>>2246792
i don't know english math dictionary, but i'll try

iterated multiplication - for every element that belongs to a certain set you calculate the formula, then you multiply all results

number of elements in a set can be finite or infinite

further questions?

ahh okay, but if it's a symbol for the product of numbers, surely it would have to have a start and an end like sigma notation? not just one at the bottom?

>>2246800
That almost certainly means "for every element of P" do the multiplication.

I don't recognize that equation, so i can't tell you much more.

it's a really random equation for the constant A of Hardy and Littlewood's Conjecture F

http://en.wikipedia.org/wiki/Ulam_spiral#Hardy_and_Littlewood.27s_Conjecture_F

>>2246816
ok, the first one makes sense, given the description of the formula on wikipedia, it is the product of that expression for all primes that divide into the coefficient of x^2 and x for a given quadratic equation.

The second one I'm not so clear on. I don't yet know what (dell/w) is, there's a link on wikipedia I haven't read up on, and it wasn't clear if Q is restricted to values less than the coefficient of x^2, but that would seem the natural restriction, unless it considers all integers.

Its the "Product" symbol.

Its the equivalent of Sigma for sums, but instead of adding elements you multiply successive elements

>>2246792
Capital Pi notation is used to denote multiplication of a sequence.

http://en.wikipedia.org/wiki/Multiplication#Capital_Pi_notation

\thread

>>2246800
> ahh okay, but if it's a symbol for the product of numbers, surely it would have to have a start and an end like sigma notation? not just one at the bottom?

Just like with sums, there are some conventions or "implied" sums that are typical. It might be over all p's (whatever that may be, depends on the context) it might be until infinity etc.

>>2246792

IT IS THE BASTARD MULTIPLY BROTHER OF SUM

>>2246795

<span class="math">\Sigma[/spoiler]um
<span class="math">\Pi[/spoiler]roduct

Tadaa :-)

The illusive man :O

>>2247066
Holy shit!

Sigma Sum

Pi Product

>mfw the first thing that came to my head was osmotic pressuer
https://secure.wikimedia.org/wikipedia/en/wiki/Osmotic_pressure#Morse_equation
fucking biology, how does it work

That's cool