### John Cook

Discussion -How should two team captains fairly pick players sequentially?

A better way to choose teams than simply alternating choices is to use the Thue-Morse sequence.

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How should two team captains fairly pick players sequentially?

A better way to choose teams than simply alternating choices is to use the Thue-Morse sequence.

2

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is there a Laplace inverse for bear constant.

L^-1{(Constant)}. if no, why not? and if yes why yes? and how is it computed or derived?

L^-1{(Constant)}. if no, why not? and if yes why yes? and how is it computed or derived?

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sorry wrong person to ask

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Alice Boldrini

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Hmmm... Much hard. Too hard. How do I solve this one?

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Maths notation : Triangle of power

Okay, let's get something straight right off the bat - logarithmic notation in maths is bad and doesn't make a whole lot of sense. And on the one hand, who cares, because maths is so much more than notation anyway. But on the other hand, it makes...

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23 comments

Amit Dhawan

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Fundamental theorem of arithmetic

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My new favorite number is: 99,194,853,094,755,497

That is:

ninety-nine quadrillion, one hundred ninety-four trillion, eight hundred fifty-three billion, ninety-four million, seven hundred fifty-five thousand, four hundred ninety-seven

It's the eightieth number in the Fibonacci series (81st if you count C style) and it's also a prime.

If you look at Fibonacci numbers that are also prime numbers, they behave just as Benford's law predicts - start with low digits and don't have a lot of 9s.

2

3

5

13

89

233

1597

28657

514229

433494437

2971215073

And then my number comes roaring in with five 9s including one in the starting position.

I'd like to name this number. Maybe Nibiru (just like Planet 9). Notice how Nibiru sounds a lot like "number?" Just saying...

Here's the Python code to generate these numbers:

#######################

from math import sqrt; from itertools import count, islice

def isPrime(n):

return n > 1 and all(n%i for i in islice(count(2), int(sqrt(n)-1)))

a,b = 1,1

n=int(input("Enter max: "))

for i in range(n-1):

a,b = b,a+b

if isPrime(a):

print(a)

That is:

ninety-nine quadrillion, one hundred ninety-four trillion, eight hundred fifty-three billion, ninety-four million, seven hundred fifty-five thousand, four hundred ninety-seven

It's the eightieth number in the Fibonacci series (81st if you count C style) and it's also a prime.

If you look at Fibonacci numbers that are also prime numbers, they behave just as Benford's law predicts - start with low digits and don't have a lot of 9s.

2

3

5

13

89

233

1597

28657

514229

433494437

2971215073

And then my number comes roaring in with five 9s including one in the starting position.

I'd like to name this number. Maybe Nibiru (just like Planet 9). Notice how Nibiru sounds a lot like "number?" Just saying...

Here's the Python code to generate these numbers:

#######################

from math import sqrt; from itertools import count, islice

def isPrime(n):

return n > 1 and all(n%i for i in islice(count(2), int(sqrt(n)-1)))

a,b = 1,1

n=int(input("Enter max: "))

for i in range(n-1):

a,b = b,a+b

if isPrime(a):

print(a)

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2 comments

Nibiru? Planet 9? Says who?

David Icke doesn't count.

David Icke doesn't count.

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What is 40 divided by 1/2, plus 15?

394 votes - votes visible to Public

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88%

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9%

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2%

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1%

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6 comments

divide with 0.5 which is equal to 1/2 then you will get answer

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The exaggeration created about importance of GPA during studies takes a toll on the student's life. Almost fifteen precious years in one's life are devoted to worrying about GPA's. Sometime, the question arises as to if these GPA s really matter? Let's try to find out.

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Let's hope they are intelligent enough to read, write and speak English and not end up like the illiterates of today who use wrong words when conversing or writing a sentence. holding a certificate, diploma, or a bachelor's degree doesn't necessary make you a smart person on one way or another. I have all that and people still think I am stupid.

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Thebault's Theorem "Proof" without Words, Segment Lengths, or Angle Measures:

https://www.geogebra.org/m/m8Kha6pa

https://www.geogebra.org/m/m8Kha6pa

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I found a formula for something similar to the cross product except it works in an arbitrary number of dimensions, and was wondering if there were any other formulas like that that anyone here could refer me to so I could compare results.

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In what sense is it similar to the cross product? Lie brackets are also a generalization of the cross product to arbitrary dimensions, acting like cross products in a different way than how wedge products act like cross products. There are also Clifford algebra products, which are yet another way of getting cross-product-like generalizations.

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Círculos que se besan...

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Great is Human Wisdom.....

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Spot the bird - Solution

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2 comments

too difficult... it's altitude is H.

problem solved ☺️

problem solved ☺️

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Cara menghitung nilai eigen dan vektor eigen

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10 =?

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10 =?

117 votes - votes visible to Public

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7%

30

4%

10

89%

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8 comments

what are you asking?

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10 comments

Well, because the question itself is part of the puzzle I decided the simplest was to study how the cylinders rotate when the ropes get pulled. But then the way the angles are marked in the picture does look funny.

Your interpretation (that we change d instead) was what made me realize this fact, which is actually only about the way I've put it, +Gerhard Fang.

Your interpretation (that we change d instead) was what made me realize this fact, which is actually only about the way I've put it, +Gerhard Fang.

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Interested to know how big the solar system would be if the Sun was the size of a soccer ball? A grain of sand? 1.5um? We go through the maths to find out!

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