A Moderator's Apology

I keep on disputing numerous problems of this type. I don't understand why the answer is so obvious to the author.

In my opinion, these questions are not really good.

I'll take Spiked Math's help to illustrate this out:

Spiked Spiked

Moral: There are infinite formulae that fits a finite number of elements. There is no best fit formula. It is just your perception

Fit Fit

Note by Agnishom Chattopadhyay
4 years, 11 months ago

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Fit this polynomial

Krishna Sharma - 4 years, 11 months ago

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"much solution"

"very logic"

LMAO!!!

John Muradeli - 4 years, 10 months ago

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Find the next number of the sequence

1,1,1,120,?1, 1, 1, 120, ?

Ans: 2585201673888497664000025852016738884976640000, because

Γ(Γ(1))=1\Gamma (\Gamma (1))=1
Γ(Γ(2))=1\Gamma (\Gamma (2))=1
Γ(Γ(3))=1\Gamma (\Gamma (3))=1
Γ(Γ(4))=120\Gamma (\Gamma (4))=120
Γ(Γ(5))=25852016738884976640000\Gamma (\Gamma (5))=25852016738884976640000

Michael Mendrin - 4 years, 11 months ago

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Oh man, I just saw this post, I should have used this for TKC.

Pi Han Goh - 4 years, 7 months ago

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Hi; whenever I see those type questions I always just fit a polynomial through them. Admittedly, it was tough with Q2.

bobbym none - 4 years, 11 months ago

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:D I agree with you. I fit the polynomial too. But when I try to enter the answer, Brilliant says that only integer values are allowed.

Agnishom Chattopadhyay Staff - 4 years, 11 months ago

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Well I am against those" odd number out of the set" type questions. I mean there we will always be able to choose a suitable prime p for which any 3 are quadratic residues while left one isn't

A Former Brilliant Member - 4 years, 11 months ago

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So, here's the ultimate way to cure this problem:

Let us come up with a way to put a polynomial through any set of inputs and outputs x and y.

Any clues?

For example, I defined one as follows:

Find the next number in the sequence: 0,0,0,0,0,0,0,0,0,__0,0,0,0,0,0,0,0,0,\text{\_\_}

Ans: 10!

Now if there was a way to, say, put a function through something like 1, 4, 9, 16, 25, __ - that'd be great.

John Muradeli - 4 years, 10 months ago

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This is the standard W|A/Mathematica command for fitting a polynomial

InterpolatingPolynomial[{1,4,9,16},x]

replace {1,4,9,16} with a set of your own data

Agnishom Chattopadhyay Staff - 4 years, 10 months ago

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Loved it .

A Former Brilliant Member - 4 years, 10 months ago

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agnishom bhaiya what moderator at brilliant.org means

A Former Brilliant Member - 1 year, 8 months ago

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Moderators are responsible for helping improve the community experience, like curating nice problems, resolving reports, or seed community discussions

Agnishom Chattopadhyay Staff - 1 year, 8 months ago

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how to be a moderator

A Former Brilliant Member - 1 year, 8 months ago

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@A Former Brilliant Member When Brilliant needs moderators, the Brilliant staff recruits moderators. There is no way to be one.

However, you can still help the community by actively participating in notes and solution discussions.

Agnishom Chattopadhyay Staff - 1 year, 8 months ago

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@Agnishom Chattopadhyay offcourse after my boards i will actively participate in notes and discussions and also post questions. when u and rajdeep bhaiya were opted as moderators.

A Former Brilliant Member - 1 year, 8 months ago

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@A Former Brilliant Member That is great. Members like you are who makes the community come alive.

Agnishom Chattopadhyay Staff - 1 year, 8 months ago

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bhaiya is it worth to join a dummy school in 11 th and 12 th

A Former Brilliant Member - 1 year, 8 months ago

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Sorry, I do not know what that means. What is a dummy school?

Agnishom Chattopadhyay Staff - 1 year, 8 months ago

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1,3, and guess what's next? Something incomputable. Its the tree function. Next, 1, 1, 2, and guess what? Depends on the number of !'s. 0!!...=1, 1!!...=1, 2!!...=2, 3!!...=???

Aloysius Ng - 4 years, 11 months ago

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