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Graduate School: Where Grades Don’t Matter

Yesterday I received a disheartening 44/50 on a homework assignment. Okay okay, I know. 88% isn ...
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Necessary vs. Sufficient?

In sum, the sufficient condition (a.k.a. the “if” direction) allows you to get what you ...
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Mathematicians Invent New Way to Slice Pizza into Exotic Shapes

Here’s one thing to impress your friends with the next time you order a takeaway: new and exotic way ...
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Crowds Beat Computers in Answer to Wikipedia-Sized Maths Problem

A maths problem previously tackled with the help of a computer, which produced a proof the size of W ...
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Real Talk: Math is Hard, Not Impossible

Felker prefaces the quote by saying, Giving up on math means you don’t believe that careful st ...
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On Constructing Functions, Part 5

Example 5 A sequence of functions {fn:R→R}{fn:R→R} which converges to 0 pointwise but does not conve ...
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Maximal ≠ Maximum!

Suffixes are important! Did you know that the words “maximal” and “maximum” ...
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On Constructing Functions, Part 4

This post is the fourth example in an ongoing list of various sequences of functions which converge ...
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Make mine a double: Moore’s Law and the future of ...

What do iPhones, Twitter, Netflix, cleaner cities, safer cars, state-of-the-art environmental manage ...
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Algebraic Elements Are Like Limit Points!

When you hear the word closure, what do you think of? I think of wholeness – you know, tying l ...
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On Constructing Functions, Part 3

This post is the third example in an ongoing list of various sequences of functions which converge t ...
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On Constructing Functions, Part 2

This post is the second example in an ongoing list of various sequences of functions which converge ...
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On Constructing Functions, Part 1

Given a sequence of real-valued functions {fn}{fn}, the phrase, “fnfn converges to a function  ...
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The Integral Domain Hierarchy, Part 2

In any area of math, it’s always good idea to keep a few counterexamples in your back pocket.  ...
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The Integral Domain Hierarchy, Part 1

Here is a list of some of the subsets of integral domains, along with the reasoning (a.k.a proofs) o ...
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Ways to Show a Group is Abelian

After some exposure to group theory, you quickly learn that when trying to prove a group GG is abeli ...
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