Finite Fields & Return of The Parker Square - Numberphile

Matt Parker introducing Finite Fields and re-visits the infamous Parker Square...
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MATT PARKER STUFF

NUMBERPHILE

Videos by Brady Haran

[wilkmarton]

I don't mind Numberphile's filler episodes, but I love it when they seriously advance the main plot like this.

[JulietKneeled]

When I saw that "Parker" was a property of something in an actual, published research paper I legitimately doubled over laughing. The parker square is officially a real mathematical term!! I never thought I'd see the day.

[QuantumHistorian]

It's so rare, and incredibly delightful, to see a grown man beaming with joy at what is literally a consequence of being mocked in front of an audience of millions.

[SkywalterDBZ]

In the Parker Square video, Matt said something like "In mathematics, fame is different. It's when someone looks you up once a century.". This must mean Matt is REALLY famous now.

[saraqael.]

8:33
Kid: “Mom can I have P vs NP“
Mom: “No, we have P vs NP at home“
P vs NP at home: Parker vs Non-Parker

[sakkikoyumikishi]

Also:
"They're all non-Parker — because they work." *dies inside*

[WMTeWu]

Everybody seem excited that "parker" has been mentioned in real, published research paper - but I think most of you underestimate how exited the authors of the paper are, that their paper has been featured in real, published Numberphile video.

[wecantry]

Parker square video was one of the most fun video I've ever watched. I never thought how a simple mathematical puzzle can be so enchanting.

[olifantoliver]

Everytime he said "Non-Parker.. because.. it's working" you can see in his eyes, a part of him dies. :D

[TECHN]

I love how mathematicians use Parker as an adjective meaning "almost works"...

[alancash]

I look forward to seeing Matt being awarded the Inverse Fields Medal

[HopUpOutDaBed]

Finally someone explaining P vs. NP in a way everyone can easily understand.

[feudiable]

The 6x6 table says 3*2 = 1 mod 6, but I guess that is a parker-one.

[agar]

I love the fact that "Parker" defined as "not working" is an actual term in a math research. I just started laughing so much, this was awesome.

[YosmHere]

For those who might've missed a pun at 8:38:
P v/s NP (Which in video is used as a short form for Parker v/s Non-Parker) is actually one of the seven millenium problems by the Clay University. Each problem worth a million dollars. That means if you solve it you'll get a million dollars.

[karlwaugh]

For finite fields of prime power orders there was some confusion in this video. The integers mod 49 or 4 or 8 etc don't produce finite fields of those orders. It's just that there do exist other finite fields of those orders with different structure to them.
Eg. In Z mod 4 the multiples of 2 are 2x1 = 2, 2x2=0, 2x3=2 and 2x0=0 and so there is no inverse for 2.

[illesizs]

"Every real number has a buddy real number, where if they multiply together, you get 1."
1: "Am I a joke to you?"
0: "Yes."

[MrQwefty]

He gave it a go, he tried, and finally he's achieved infamy in actual mathematical research! Kudos to you Matt

[namduong]

The fact that you still have the mug at 7:52 makes me super happy to follow math community

[ugu]

I'm feeling the need to hear the word "Parkericity"

"Hey how about the Parkericity of that field ?"