Profile

Cover photo
Carlos Castillo-Garsow
597 followers|308,908 views
AboutPostsPhotosVideos

Stream

Carlos Castillo-Garsow

Shared publicly  - 
 
"[J]ust as you wouldn’t think to subtract miny from mo to get eeny, one doesn’t necessarily add tethera to tan to get pimp"

Hilarity at the intersection of mathematics education and linguistics (also known as "home"); this quote is my early nominee for QoTD.

(Via Metafilter)
1
Add a comment...
 
 
The Klein Four group is back!  

"Get Tenure" set to Daft Punk / Pharrell Williams' "Get Lucky".
1 comment on original post
1
Add a comment...
 
``Your junk ends up in the database."
John Oliver interviews Edward Snowden on government collection of dick pics.
1
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
Well, this has been settled once and for all. On matters of fashion, +きゃりーぱみゅぱみゅ is always correct.
 ·  Translate
“青と黒 RT @sunny37days: @pamyurin きゃりーちゃんはこれ何色に見えますか⁇”
1
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
Today's tie knot is a modified Linwood Valentine.

Linwood's knot is SiN oL uC (Crease) oL uC oR uC (twist) ol uR oC (loop T) https://www.youtube.com/watch?v=XwvNQYIZnSI

I finished it a little differently with a couple of tucks at the end: SiN oL uC (Crease) oL uC oR uC (twist) ol uR oC T T
4
Caro Williams-Pierce's profile photoCarlos Castillo-Garsow's profile photo
2 comments
 
Yes, he and Eric Glennie are my favorite tie knot inventors. Linwood for over the top artistic genius, Glennie for clever, subtle, minimalism.
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
 
#Statistics and Sport

As a West Coast Canadian, the Seattle Seahawks game was the one to watch. But apparently for a mathematician, the Patriots game post-play has probably generated more controversy in the aftermath of Deflategate. than the Seahawks OT win against the Packers.

http://www.sharpfootballanalysis.com/blog/?p=2932
Patriots partisans are deflating the deflation controversy by arguing that their impermissible deflation of the footballs wasn't what allowed them to beat an overmatched Colts team.  Perhaps. But a new statistical analysis reveals that if it weren't for deflation of the footballs, the Patriots might not have even been playing a series of home playoff games as the top seed.
View original post
2
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
 
The tautological clock

This humorous clock reminds me of the concept of a vector bundle in mathematics. To form a vector bundle over a space X, we associate a vector space (such as k-dimensional Euclidean space) to each point of X in such a way that the spaces fit together to form another space of the same type as X. What this clock is doing is associating a clock to each time of day, and then fitting those together to form another clock.

More specifically, I think this clock is reminiscent of the concept of a tautological bundle, which appears in the following context. The set of k-dimensional subspaces of an n-dimensional vector space forms a space called a Grassmannian, whose points are the k-dimensional subspaces. If we work over the real or complex numbers, the Grassmannian has the structure of a smooth manifold, which means that, within an n-dimensional space, it is possible to morph k-dimensional subspaces into each other in a smooth way. One can then form the tautological bundle over the Grassmannian by using the vector spaces given by the points of the Grassmannian itself! This sounds almost like a mathematical joke, and it is more or less the same joke that the clock in the picture is making.

The clock face shown is a discrete object in the sense that it only displays its configurations at intervals of one hour. However, vector bundles are continuous objects, and the analogy above suggests the following construction of a continuous version of the clock. For this, we need a three-dimensional clock in which the small clock faces are inserted into the rim of the large clock face at right angles, instead of being placed flat on it. This could be used to show the continuous motion of the clock hands over a 12-hour period. 

To make it easier to see what is going on, we could just keep track of the tips of each hand using fluorescent lighting. The continuous tautological clock would then have two coiled, illuminated rings running around its circumference: a larger, more tightly coiled ring showing the positions of the minute hand during a 12-hour period, and a smaller, more loosely coiled ring showing the positions of the hour hand during the same 12-hour period. It might not be a very useful timepiece, but I think it would look interesting as a work of art.

Is that the time? I should stop: it's almost 12-o'clock-o'clock.

Relevant links

Grassmannians have applications to video-based computer recognition of faces and shapes, as well as to particle physics. More information on Grassmannians can be found here: http://en.wikipedia.org/wiki/Grassmannian

Wikipedia on vector bundles: http://en.wikipedia.org/wiki/Vector_bundle

Wikipedia on tautological bundles: http://en.wikipedia.org/wiki/Tautological_bundle

I don't know where this picture came from originally, and doing a reverse image search produces a large number of hits. I found it via +Maximilian Montserrat.

#mathematics
83 comments on original post
6
Add a comment...
Have them in circles
597 people
Trever Reeh's profile photo
mery gonsález jiménez's profile photo
Chris Vermeers's profile photo
fraz ishaq's profile photo
Humberto Rivera's profile photo
NUIM MathSoc's profile photo
kaji minul islam Raju's profile photo
sarika oz's profile photo
James Phillips's profile photo

Carlos Castillo-Garsow

Shared publicly  - 
 
...I was not expecting that.
'Every Sunday, we recite seven principles that unite Unitarian Universalists. Most of these principles are basic moral and philosophical statements shared by all of the world’s major religions. They reflect the common values of most faiths, from “love one another” and “do unto others,” to respect for the spark of the divine in each of us, and the ethical-humanist imperative to leave this world a better place. Please allow me to explain how each o...
8
4
Joerg Fliege's profile photoLaura Gibbs's profile photoKaren Peck's profile photoMarc-André Laverdière's profile photo
 
That mom wins! What does she win? Everything!
Add a comment...
 
Resharing as someone who both breaks and fixes futons.
 
Sometimes, I feel like it is my appointed job to sit on the futon, or even use it as the foundation for a replica of the Eiffel Tower.
Adults recall math as a sort of NCAA tournament. Everybody gets eliminated. It's only a question of how long you stay in the game.
View original post
3
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
 
#pixelpushing #thanksobama

"National Science Foundation will require that articles in peer-reviewed scholarly journals and papers in juried conference proceedings or transactions be deposited in a public access compliant repository and be available for download, reading and analysis within one year of publication" and I was all like...
16 comments on original post
8
Paul Hartzer's profile photo
 
Am I reading this correctly that scientific journals will still be allowed to publish at their exorbitant rates, but will have to make things available for free in some convenient format within one year? (It's been true for decades that the overwhelming majority of published academic journals have been free, but only to people with public university library access, and at the expense of said libraries.)
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
Every place I've ever lived has a taste memory, a distinctive flavor that exists nowhere else. Well, I just found my first taste memory for spokane. HUEVOS LOPEZ at HOGAN'S diner on the South Hill.

A Mexican inspired Eggs Benedict with carnitas, black beans, bell peppers, spinach, chipotle hollandaise, served (brilliantly) on a gordita/arepa instead of an English muffin.

Arepas are really rare in American restaurants, and it's that attention to a holistic theme that really makes the dish. Someone realized that the English muffin if a standard southwestern benedict takes the while thing out of character and really stepped up. I am grateful, my mouth is grateful. Thank you, Lopez, whoever you are.
4
Shiv Karunakaran's profile photo
 
Sounds great! I'll have to try that out. 
Add a comment...

Carlos Castillo-Garsow

Shared publicly  - 
 
Hatsubasho started yesterday, with a great fight by Hiromi favorite Endou; which got me thinking about some of my own favorite sumo wrestlers…

I like the little guys.

The wrestler who really got me into sumo was Takanoyama (http://en.wikipedia.org/wiki/Takanoyama_Shuntarō). One of the very few wrestlers under 100kg to make it into the top division (makuuchi), which he did in 2011 and 2012. Part of what made Takanaoyama so much fun to watch was his judo training. Combined with his tiny size, he relied on flashy throws instead of the more commonly seen pushes and forces. For some quality Takanoyama, you can see his match against Kaisei (nearly twice his mass) here:

 https://www.youtube.com/watch?v=Xt3joDyW0HM

Unfortunately, Takanoyama could never fully compensate for his size. He made makuuchi division only four times in thirteen years.

But another tiny wrestler did better. Mainoumi http://en.wikipedia.org/wiki/Mainoumi_Shūhei . From 1991 to 1998, spent seven years in makuuchi, and even got promoted to Komusubi. Wikipedia has a little bit of misinformation here. He did win against yokozuna Akebono,  and he did use the extremely rare Mitokorozeme (http://en.wikipedia.org/wiki/Kimarite#Mitokorozeme) technique, but not at the same time.

Mainoumi retired from sumo in 1999, but he was truly an amazing fighter. If you click on only one of these links, watch Mainoumi's highlight reel: 

https://www.youtube.com/watch?v=ZcknTDbDT6w
1
Add a comment...
People
Have them in circles
597 people
Trever Reeh's profile photo
mery gonsález jiménez's profile photo
Chris Vermeers's profile photo
fraz ishaq's profile photo
Humberto Rivera's profile photo
NUIM MathSoc's profile photo
kaji minul islam Raju's profile photo
sarika oz's profile photo
James Phillips's profile photo
Work
Occupation
Professional Nerd
Links
Story
Tagline
Intercultural man of mystery
Introduction
I teach math and I teach teaching math. I study mathematics education, specifically the linguistics of dynamical systems modeling. I also make tea and study Urasenke tea ceremony.

*If you add me* Please send me a message about your interests. I currently post to the following circles:

_wMath_: General mathematics stuff
_wMathBio_: Mathematics as applied to biology or dynamical systems in general
_wMathEd_: My research, ideas for teaching math, articles revenant to mathematics education.
_wTea_: Making Tea, Tea Ceremony, Trips to Japan
_wGaming_: P&P role-playing and computer gaming. Do not expect many posts here.
_wPersonal_: Day to day married life, Things I find funny or interesting.
_wTravel_: With my busy travel schedule, it can be hard to keep track of what airport I'm in at any given moment. You can ask, but this circle is need-to-know only.
_wLocal_: If you're trying to track me down for a face to face meeting, this might help. Maybe. Probably not.

And a few other circles you don't need to know about.


Bragging rights
I can do more things badly than you can do at all.
Basic Information
Gender
Decline to State
Relationship
Married