Media Summary: We prove that for n greater than one the nth harmonic number is [Undergrad, Number Theory] We discuss a nice elementary proof showing the n-th harmonic number is If n is greater than 1, then 1+1/2+1/3+...+1/n, namely the nth harmonic number, is

This Is Never An Integer - Detailed Analysis & Overview

We prove that for n greater than one the nth harmonic number is [Undergrad, Number Theory] We discuss a nice elementary proof showing the n-th harmonic number is If n is greater than 1, then 1+1/2+1/3+...+1/n, namely the nth harmonic number, is This is my entry into the Second Summer of Math Exposition. I used to wonder about these questions ever since my first year in ... 443.101 if it's positive or negative so there's an integer -2 fths is a fraction doesn't reduce anymore so that one's definitely Background music: Serenity by Audionautix

e^(π√163) = 262537412640768743.999999999999925... Twelve nines after the decimal point. We compute the Fourier Series of the function cos(ax), where a is

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This is never an integer!
The n-th harmonic number is not an integer.
1+1/2+1/3+...+1/n is NEVER an integer when n is bigger than 1
What is the graph of x^a when a is not an integer? An unusual look at familiar functions #some2
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S will never be an integer
This Should be an Integer. But its Not.
What's an Integer? | Integers Explained | Math with Mr. J
This Integer Sequence Is Infinite and Never Repeats (but its still simple?)
The Fourier Series of cos(ax) for a Not an Integer
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This is never an integer!

This is never an integer!

We prove that for n greater than one the nth harmonic number is

The n-th harmonic number is not an integer.

The n-th harmonic number is not an integer.

[Undergrad, Number Theory] We discuss a nice elementary proof showing the n-th harmonic number is

1+1/2+1/3+...+1/n is NEVER an integer when n is bigger than 1

1+1/2+1/3+...+1/n is NEVER an integer when n is bigger than 1

If n is greater than 1, then 1+1/2+1/3+...+1/n, namely the nth harmonic number, is

What is the graph of x^a when a is not an integer? An unusual look at familiar functions #some2

What is the graph of x^a when a is not an integer? An unusual look at familiar functions #some2

This is my entry into the Second Summer of Math Exposition. I used to wonder about these questions ever since my first year in ...

Identifying numbers as integers or non integers

Identifying numbers as integers or non integers

443.101 if it's positive or negative so there's an integer -2 fths is a fraction doesn't reduce anymore so that one's definitely

S will never be an integer

S will never be an integer

Background music: Serenity by Audionautix http://audionautix.com/

This Should be an Integer. But its Not.

This Should be an Integer. But its Not.

e^(π√163) = 262537412640768743.999999999999925... Twelve nines after the decimal point.

What's an Integer? | Integers Explained | Math with Mr. J

What's an Integer? | Integers Explained | Math with Mr. J

Welcome to "What's an

This Integer Sequence Is Infinite and Never Repeats (but its still simple?)

This Integer Sequence Is Infinite and Never Repeats (but its still simple?)

https://oeis.org.

The Fourier Series of cos(ax) for a Not an Integer

The Fourier Series of cos(ax) for a Not an Integer

We compute the Fourier Series of the function cos(ax), where a is