Can anybody see a mathematical relationship here?

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Discussion Overview

The discussion revolves around identifying a mathematical relationship within a set of numbers presented in a table format, specifically focusing on the columns labeled P, X, and D. Participants explore the nature of these numbers, which appear to relate to factorials, and seek to understand how P and X might be manipulated to derive D.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant presents a table of numbers and expresses uncertainty about the relationship between the columns.
  • Another participant identifies that the values in the D column correspond to the factorial of the values in the P column, suggesting D = P!.
  • Some participants question the meaning of the factorial notation and clarify that '!' denotes factorial in mathematics, not inequality.
  • A participant proposes that there might be various mathematical manipulations of P and X to derive D, but struggles to find a consistent method across all entries.
  • Another participant asserts that D is independent of X, although acknowledges that X equals P in the given context.
  • One participant expresses surprise at learning about factorials and thanks others for the clarification.

Areas of Agreement / Disagreement

There is no consensus on how to manipulate P and X to derive D, although several participants agree that D corresponds to the factorial of P. The discussion includes varying interpretations of the relationship and the role of X.

Contextual Notes

Participants have not fully defined the terms P, X, and D, which may affect the clarity of the discussion. The exploration of mathematical manipulations remains unresolved, with some methods proposed but not universally accepted.

eNathan
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Hi. I was playing with the square of numbers for a few hours, and I can up with this set of numbers, can anybody show me a relationship?

P X D
______
2 2 2
_______
3 3 6
_______
4 4 24
_______
5 5 120
_______

I cannot see a relationship But there has to be. Any help?


--eNathan (3.14)
 
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eNathan said:
Hi. I was playing with the square of numbers for a few hours, and I can up with this set of numbers, can anybody show me a relationship?

P X D
______
2 2 2
_______
3 3 6
_______
4 4 24
_______
5 5 120
_______

I cannot see a relationship But there has to be. Any help?


--eNathan (3.14)

What exactly were you playing around with ? That'll help us to explain the relationship better.

Anyway, [tex]2 ! = 2, 3 ! = 6, 4 ! = 24, 5 ! = 120[/tex], the last column appears to comprise factorials of the identical first two column numbers.
 
What do all the '!' mean? I though != is innequality <>
 
eNathan said:
What do all the '!' mean? I though != is innequality <>

No that's computer speak (for example, C programming uses that).

'!' in Maths is factorial. [tex]n! = 1.2.3...(n-1)(n)[/tex], the sequential product of all natural numbers less than or equal to n. It is only defined for nonnegative integers, with 0! = 1 (by definition). (There is an extension of factorial for non-integers called the gamma function, but you don't have to worry about that for now).

OK, so what were you doing, maybe I or someone else can help you understand the pattern.
 
Last edited:
n, n, n! Other than that what were you looking for?
 
I am asking, givin this set

P X D
______
2 2 2
_______
3 3 6
_______
4 4 24
_______
5 5 120

I am saying, is there any way to mathematicly manipulate P, and X to get the value of D? For the first one, I guess you could do P / X * P = D, but that would not work for the second one. For the second one you could do P + X = D, but that would not work for the third one. And I don't even know how you can mathematicly manipulate 4 and 4 to get 24, I suppose (PX + (2X)) but that makes no sense. I will try to explain how I got these numbers when I have the time I am at school ATM.
 
The answer, from that set, is D=P! and is independent of X (though as X=P that is debatable).

I think everyone wishses you to state what P, X and D are.
 
eNathan said:
I am asking, givin this set

P X D
______
2 2 2
_______
3 3 6
_______
4 4 24
_______
5 5 120

I am saying, is there any way to mathematicly manipulate P, and X to get the value of D? .

Yes of course. As already pointed out D=factorial(P) and X is just redundant.
 

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