A 10,958 Solution - Numberphile

More links & stuff in full description below ↓↓↓

Inder J. Taneja papers...
Single Digit Representations of Natural Numbers
Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9

Videos by Brady Haran

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NUMBERPHILE

[johnsadena]

"Do you know how many showed up to my shows wearing Parker square t-shirts?"
I'd say 10, 958.4.

[blacxthornE]

I'll give it to him. This isn't another Parker Square. He found the solution, fair and... uh... you know.

[renxula]

"You could take these two videos that involve concatenation, and just play them one after the other." Comedy gold :D

[jonathanperryman]

For 1447 in ascending order Taneja has 1447 = 1^2 × 3 × 456 + 7 + 8 × 9, but I was able to find that 1447 = (12345 + 678)/9. Seems like there are simpler answers to some of these than are on the list.

[jameshowell]

The paper's author missed a chance at alliteration when you said he loves plus product potentiation and brackets. he could fix that with "Parentheses"

[XMachete]

I like this solution, he's spot on that the concatenation operation being restricted to setting up the problem is arbitrary.
He's opened a can of worms for the paper's author, however, because if he accepts this solution he must now revisit the existing solutions with this new information.

[hydrosamedh]

his accuracy has always been to the nearest Parker square order of magnitude

[TheAlsoaaron]

Now we need a shirt that just has 10, 958.4 written on it

[zevenforch]

Basic examples of Concatenation:
(Considering a, b, c... to be single digit integers)
a||b = 10a + b
a||b||c = 100a + 10b + c
(10a + b)||c = 100a + 10b + c
(10a + b)||(10c + d) = 1000a + 100b + 10c + d

You get the idea...

The one used in this video:
120||7 = 1207
(100*1 + 10*2 + 1*0)||1*7 = 1207
Which is of the form (100a + 10b + c)||d = 1000a + 100b + 10c + d

Concatenation needs more recognition as a proper function guys...

[mellowords]

*watches video*
*looks at comments full of mathematical wizards*

I don't belong here...but that was fascinating.

[stan]

"Do you know how many people show up to my shows wearing Parker Square T-shirts?"

"Not enough"
Priceless

[shadout]

Accuracy : 10/10
Elegance : 4/10
Cheek : 10/10

[VideosRunescapeu]

Love whenever Matt Parker is in a Numberphile video!

[johnchessant]

10, 958 is the exact number of days in three decades!

[adamschlinker]

As a programmer who uses concatenation often, this was satisfying.

[ShinySwalot]

I'd use a square as a symbol for concatenation.

Because it's not a "real" mathematical operation,   it just gives a go at being one. Kind of like a Parker Square

[martinshoosterman]

I completely agree. I dont like concatenation as a solution, but if its used, use it properly to it's fullest. This video isnt a parker square.

[Jaymac]

There isn’t a “concatenation” button on my calculator. I can’t accept this

[invidious]

This is absolutely a valid use of concatenation per premise of the original paper. Well done.

[DailyDrumLesson]

Matt: "Do you know how many people show up to my show wearing Parker Square T-Shirts?"
Brady in the Background: "not enough"
That's where I cracked up!