Table of Contents
NATHAN is a palindrome in spirit (Read description for clarification)
นอกจากการดูบทความนี้แล้ว คุณยังสามารถดูข้อมูลที่เป็นประโยชน์อื่นๆ อีกมากมายที่เราให้ไว้ที่นี่: ดูความรู้เพิ่มเติมที่นี่
So, many of you pointed out that in the first two minutes, I claim that \”this video only involves the spelling of words, and has nothing to do with the phonetics of a word.\”, and then contradict that by saying \”Let’s analyze how NATHAN is pronounced.\”\r In retrospect, I can see how that is very confusing.
I should’ve worded this in a more mathematically rigorous way. What I meant was, we’re just looking at a sequence of discrete elements, some of which have the same value, and some of which have different values. What I wanted to do in this video was, figure out what permutations of that original sequence can we arrive at by only applying reversals to substrings of that sequence. For sequences that have a structure like \”NATHAN\”, (where the 1st and 6th elements have an equal value, and so do the 2nd and 5th elements), which reversals will lead the sequence to appear identical? The answer is, reversing the substring from x_1 to x_6, and then reversing the substring from x_3 to x_4, will keep this sequence identical. In the video, the only reason I brought up how the \”TH\” phoneme is pronounced was to slowly introduce you to a reason for why you might want to reverse a smaller substring. But actually, the pronunciation is actually irrelevant: we can choose any substring to reverse that we want. You can see this later when I start \”clumping\” more arbitrary chunks of letters, like the \”TAL\” in stalepetals.
(Whenever I say \”substring\”, I mean a consecutive subsequence of the original sequence.)
If we were to boil the actual problem down to its mathematical roots, the English language itself is actually completely unrelated to the raw mechanics of the problem I’m trying to describe. I only used English words as a sort of \”proxy\” to make the puzzle more digestible and \”fun\”, (like the Oompa Loompa Shampoo thing), but that clearly backfired. If I were to record this video again, I now know to take a more straightforward approach: describe the problem in a mathematically unambiguous way, so the viewers aren’t left with a different version of the problem in their head than the problem I had in my head. Clarity over handwavy statements. I’ll try to be clearer next time!
For a more indepth explanation of what I mean, go here: https://www.youtube.com/watch?v=O5LLabWD10U
It’s here! https://htwins.net/palindrome/
Buy my Firey plush if you want: https://shop.jacknjellify.com/products/fireyplush
I tried to make the tool ASAP just so I could experiment, so I wouldn’t be surprised if it glitches or crashes when you give strange text as input! Also… it’s entirely in JavaScript canvas. 🙁
ALSO I JUST REALIZED that due to my OBS settings, I recorded parts of this in 480p. That’s really dumb, oops
All the music is either various songs by DemiPixel or \”Chapter Complete\” by YoyleCake Michael
https://soundcloud.com/demipixel
หรือจริงๆ แล้วเราเองที่เป็นคน Toxic | Are you a toxic person? | คำนี้ดี EP.602
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หลายครั้งที่พูดถึงความ Toxic ของคนอื่น แต่เคยสงสัยไหมว่าบางทีเราเองก็อาจจะเป็นคน Toxic สำหรับคนอื่นเหมือนกัน คำนี้ดี มีเช็กลิสต์มาให้ กับ 6 พฤติกรรมของคน Toxic เอาไว้ให้สำรวจตัวเอง และอย่าเผลอเอาไปทำกับใครเขา
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คำนี้ดี TheStandardPodcast TheStandardco TheStandardth
Easy English Words Which Are Palindrome
The Mathematics of Winning Monopoly
I talk to Hannah Fry and compare our mathematical investigations into playing Monopoly. I’ve put all my probabilities below.
You can buy a signed copy of Hannah’s book on Maths Gear:
https://mathsgear.co.uk/collections/books/products/signedcopyoftheindisputableexistenceofsantaclaus
In the UK you can also get it from Waterstones:
https://www.waterstones.com/book/theindisputableexistenceofsantaclaus/drhannahfry/drhannahfry/9780857524607
There is a Kindle edition on Amazon:
https://www.amazon.com/IndisputableExistenceSantaClausebook/dp/B01G96DPWS?_encoding=UTF8\u0026tag=stanupmath20
You can download all of my monopoly code here:
https://www.dropbox.com/s/f5xndyafuj2cmpn/monopolyv1.py?dl=0
Here are Hannah’s plots:
https://www.dropbox.com/s/sme0ezqsb69yg7k/Hannahmonopolyplots.pdf?dl=0
CORRECTIONS:
I said the game has “finite money” but Chuck Monster has correctly pointed out that the official Monopoly rules state \”It [the bank] never runs out of money; if it runs out of bills, players can use any convenient items as substitutes until the bank gets enough money.\”
Support my videos on Patreon:
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Filming by Trunkman Productions
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Standup Mathematician
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From 100,000,000 rolls.
00 2.854% GO
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02 1.919% COMMUNITY CHEST
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04 2.404% Income Tax
05 2.757% Kings Cross Station/Reading RR
06 2.317% The Angel Islington/Oriental Avenue
07 1.017% CHANCE
08 2.308% Euston Road/Vermont Avenue
09 2.278% Pentonville Road/Connecticut Avenue
10 6.325% JAIL
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12 2.61% Electric Company
13 2.395% Whitehall/States Avenue
14 2.477% Northumberland Avenue/Virginia Avenue
15 2.804% Marylebone Station/Pennsylvania RR
16 2.8% Bow Street/St. James Place
17 2.62% COMMUNITY CHEST
18 2.94% Marlborough Street/Tennessee Avenue
19 3.096% Vine Street/New York Avenue
20 2.868% Free Parking
21 2.839% The Strand/Kentucky Avenue
22 1.212% CHANCE
23 2.731% Fleet Street/Indiana Avenue
24 3.197% Trafalgar Square/Illinois Avenue
25 2.897% Fenchurch St Station/B\u0026O RR
26 2.719% Leicester Square/Atlantic Avenue
27 2.689% Coventry Street/Ventnor Avenue
28 2.821% Water Works
29 2.601% Piccadilly/Marvin Gardens
30 0% GO TO JAIL
31 2.675% Regent Street/Pacific Avenue
32 2.616% Oxford Street/North Carolina Avenue
33 1.116% COMMUNITY CHEST
34 2.494% Bond Street/Pennsylvania Avenue
35 2.553% Liverpool Street Station/Short Line
36 2.239% CHANCE
37 2.085% Park Lane/Park Place
38 2.086% Luxury Tax
39 2.552% Mayfair/Boardwalk
a poem that will change your perspective on life
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Jon Jorgenson is an author, speaker, and spoken word poet whose YouTube videos have been viewed by more than 20 million people. Jon partners with numerous organizations including Awana International, Moody Bible Institute, the Willow Creek Association, and hundreds of other churches, colleges, and conferences all over the globe. His spoken word poetry provides a dynamic and creative experience that captures the imagination of audiences everywhere. As a former Broadway actor, Chicago native, and very lucky husband, Jon hopes to provide a fresh, unique voice to some of life’s most difficult and challenging questions.
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นอกจากการดูหัวข้อนี้แล้ว คุณยังสามารถเข้าถึงบทวิจารณ์ดีๆ อื่นๆ อีกมากมายได้ที่นี่: ดูวิธีอื่นๆWiki