User Bill Dubuque - Mathematics Stack Exchange

Bill Dubuque

Member for 12 years, 8 months
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Shoulders of Giants

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Is there a quick proof as to why the vector space of $\mathbb{R}$ over $\mathbb{Q}$ is infinite-dimensional?

Oct 7, 2010

313

Is there an elementary proof that $\sum \limits_{k=1}^n \frac1k$ is never an integer?

Aug 18, 2010

239

Why are rings called rings?

Sep 2, 2011

212

Why can't the Polynomial Ring be a Field?

Aug 15, 2010

194

Advantages of Mathematics competition/olympiad students in Mathematical Research

Sep 17, 2010

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divisibility

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+10

Fibonacci divisibilty properties $ F_n\mid F_{kn},\,$ $\, \gcd(F_n,F_m) = F_{\gcd(n,m)}$

-2

Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$

-2

A problem in divisibility #1

+10

Justifying expansion: $\gcd(a,c) \cdot \gcd(b,c) = \gcd(ab,bc,ac,cc)$

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induction

May 11, 2015
arithmetic

Aug 29, 2017

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