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Mathematical Gemstones | On the quest for mathematical beauty and truth

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. Hockey sticks on planet ABBABA. April 1, 2018. On the planet ABBABA, the inhabitants have a binary language where the only two letters in their alphabet are A and B. The language is incredibly efficient and complex in that. Finite sequence of A’s and B’s is a valid word. How many of the words in this language have exactly five A’s and at most five B’s? The CW complex structure of the Grassmannian. Let̵...

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Mathematical Gemstones | On the quest for mathematical beauty and truth | mathematicalgemstones.com Reviews

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On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. Hockey sticks on planet ABBABA. April 1, 2018. On the planet ABBABA, the inhabitants have a binary language where the only two letters in their alphabet are A and B. The language is incredibly efficient and complex in that. Finite sequence of A’s and B’s is a valid word. How many of the words in this language have exactly five A’s and at most five B’s? The CW complex structure of the Grassmannian. Let&#821...

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Mathematical Gemstones | On the quest for mathematical beauty and truth | mathematicalgemstones.com Reviews

https://mathematicalgemstones.com

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. Hockey sticks on planet ABBABA. April 1, 2018. On the planet ABBABA, the inhabitants have a binary language where the only two letters in their alphabet are A and B. The language is incredibly efficient and complex in that. Finite sequence of A’s and B’s is a valid word. How many of the words in this language have exactly five A’s and at most five B’s? The CW complex structure of the Grassmannian. Let&#821...

INTERNAL PAGES

mathematicalgemstones.com

1

Pearl | Mathematical Gemstones

http://www.mathematicalgemstones.com/topics/gemstones/pearl

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. Some high school level mathematics background would be useful for understanding these posts, but it aims to be accessible to the layperson. What do Schubert curves, Young tableaux, and K-theory have in common? January 18, 2016. In a recent and fantastic collaboration between Jake Levinson. A story filled with drama and intrigue. So let’s start in the middle. Slider puzzles for mathematicians. Is then a way...

2

Can you prove it? | Mathematical Gemstones

http://www.mathematicalgemstones.com/gemstones/can-you-prove-it

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. February 22, 2015. As this ingenious post. Over at Math With Bad Drawings explained so clearly recently, there is a big difference between finding the answer to a math problem and being able to explain, beyond all reasonable doubt, why your answer is correct. It is the difference between solving it and proving. Consider the following diagram which appears on our program website:. He was intrigued by the im...

3

Schubert Calculus | Mathematical Gemstones | Page 5

http://www.mathematicalgemstones.com/gemstones/sapphire/schubert-calculus/5

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. November 21, 2013. Let’s compute $ newcommand{ PP}{ mathbb{P}. DeclareMathOperator{ GL}{GL} sigma {(1,1)} cdot sigma {(2)}$ in $H ast( Gr 2( CC 4) $. The Littlewood-Richardson rule tells us that the only possible $ nu$ must be the $2 times 2$ square $(2,2)$, but there is no way to fill $ nu/ lambda$ with two $1$’s in a semistandard way. Therefore, $ sigma {(1,1)} cdot sigma {(2)}=0.$. Geometrically, this a...

4

The Springer Correspondence, Part III: Hall-Littlewood Polynomials | Mathematical Gemstones | Page 2

http://www.mathematicalgemstones.com/gemstones/the-springer-correspondence-part-iii-hall-littlewood-polynomials/2

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. The Springer Correspondence, Part III: Hall-Littlewood Polynomials. March 17, 2015. As an example, let’s calculate the Hall-Littlewood polynomials whose partition $ mu$ has size $n=3$. That is, we wish to find $ widetilde{H} {(3)}$, $ widetilde{H} {(2,1)}$, and $ widetilde{H} {(1,1,1)}$. In particular let’s try to find their explicit expansions in terms of Schur functions. To make this substitution, we fir...

5

All posts | Mathematical Gemstones

http://www.mathematicalgemstones.com/all-posts

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. Only very basic (elementary/middle school) mathematics background is needed to enjoy these posts. Glencoe/McGraw-Hill doesn’t believe this bijection exists. PEMDAS is broken (and how we can fix it). Days of the week and modular arithmetic. Tropical polynomials and your federal tax return. Growth patterns of desert bushes? The 3x 1 problem! Positive and recurrent walks. Knuth equivalence on a necklace.

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doodlingthroughrandommath.wordpress.com

March « 2014 « Existence or Universality

https://doodlingthroughrandommath.wordpress.com/2014/03

If numbers aren't beautiful I don't know what is. Monthly Archives: March 2014. This is a list of stuff I’ve been reading, just because I don’t like to keep my bookmarks private. I usually reference these sites when talking with friends, but well, I don’t really talk with everyone all of the time. So for the sake of sharing the biggest common resource(the web), here it goes:. For learning Chinese and other stuff. French, German and Italian. Blogs(outside WordPress, the rest can be seen @ Blogroll):.

phacopsrana.wordpress.com

Navigating the Various Galois Representations in Local Langlands – Phacopsrana

https://phacopsrana.wordpress.com/2016/07/17/navigating-the-various-galois-representations-in-local-langlands

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. July 17, 2016. Navigating the Various Galois Representations in Local Langlands. Adic representa...

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 4 – Phacopsrana

https://phacopsrana.wordpress.com/2016/04/22/p-divisible-groups-mini-course-talk-4

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. April 22, 2016. April 22, 2016. P-Divisible Groups Mini Course: Talk 4. Be the residue field of.

phacopsrana.wordpress.com

July 2016 – Phacopsrana

https://phacopsrana.wordpress.com/2016/07

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Navigating the Various Galois Representations in Local Langlands. The Weil-Deligne group of.

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 4 – Phacopsrana

https://phacopsrana.wordpress.com/2016/04/22/p-divisible-groups-mini-course-talk-4/comment-page-1

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. April 22, 2016. April 22, 2016. P-Divisible Groups Mini Course: Talk 4. Be the residue field of.

phacopsrana.wordpress.com

August 2015 – Phacopsrana

https://phacopsrana.wordpress.com/2015/08

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Continue reading “Isogenies”. August 18, 2015. April 2, 2016. Continue reading “First Post!

phacopsrana.wordpress.com

September 2015 – Phacopsrana

https://phacopsrana.wordpress.com/2015/09

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Galois Theory and Geometry. Continue reading “Galois Theory and Geometry”. September 18, 2015.

phacopsrana.wordpress.com

P-Divisible Groups Mini Course: Talk 3 – Phacopsrana

https://phacopsrana.wordpress.com/2016/04/15/p-divisible-groups-mini-course-talk-3

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. April 15, 2016. April 15, 2016. P-Divisible Groups Mini Course: Talk 3. So that the functor.

phacopsrana.wordpress.com

November 2015 – Phacopsrana

https://phacopsrana.wordpress.com/2015/11

Navigating the Various Galois Representations in Local Langlands. P-Divisible Groups Mini Course: Talk 4. P-Divisible Groups Mini Course: Talk 3. P-Divisible Groups Mini Course: Talk 2. P-Divisible Groups Mini Course: Talk 1. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. On P-Divisible Groups Mini Course…. Callan on P-Divisible Groups Mini Course…. Open Subschemes of a Proper Scheme are not Proper. Of a connected, compact set. November 23, 2015.

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Mathematical Garden | Various ideas and concepts in mathematics

Various ideas and concepts in mathematics. Soap Film and Minimal Surface. Connes’ Distance Function. Soap Film and Minimal Surface. September 6, 2014. The geometry of soap films and soap bubbles. If we dip two wire rings into a solution of soapy water, then what is the surface formed by the soap film? This question is known as the. Or the Plateau problem. This post proposes to discuss a simple solution based on variational calculus and elementary computations. Continue reading →. August 27, 2014. However...

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MATHEMATICAL GEMS - Home

Mathematical Gems from Philip Lloyd. Philip Lloyd has been a very successful mathematics teacher in New Zealand since 1967. Philip's personal guiding principle or philosophy:. To teach Mathematics using REASONS. Mathematics must not be taught as “a set of rules to follow”. It needs be taught with. There is a big difference between:. Rdquo; a thing and “ Understanding. For example, m ost students “. Rdquo; that 2. To the power 0. 1 but few “. Rdquo; WHY it is 1. To INSPIRE students the secret is. X = 1 an...

mathematicalgemstones.com

Mathematical Gemstones | On the quest for mathematical beauty and truth

On the quest for mathematical beauty and truth. Skip to primary content. Skip to secondary content. Hockey sticks on planet ABBABA. April 1, 2018. On the planet ABBABA, the inhabitants have a binary language where the only two letters in their alphabet are A and B. The language is incredibly efficient and complex in that. Finite sequence of A’s and B’s is a valid word. How many of the words in this language have exactly five A’s and at most five B’s? The CW complex structure of the Grassmannian. Let&#821...

mathematicalgemstones.wordpress.com

Finding Gemstones | On the quest for mathematical beauty and truth

On the quest for mathematical beauty and truth. This blog has moved. September 2, 2012. Please visit www.mathematicalgemstones.com. Where this blog will be updated from now on. The 3x 1 problem! August 12, 2012. I have exciting news today: The first ever joint paper by Monks, Monks, Monks, and Monks has been accepted for publication in Discrete Mathematics. It’s an addictive and fun problem to play around with (see http:/ xkcd.com/710/. But it is frustratingly difficult to solve completely. Websites, whe...

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Admission card of MGA 2017-18. You are visitor No. -. Toppers - Ist Rank. Toppers - IInd Rank. Toppers - IIIrd Rank. Is the body of knowledge centered on such concepts as quantity, structure, space, and change, and also the academic discipline that studies them. Click here for detail.

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