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  • what's the closest you can get within

  • the rules and the rules are you're

  • allowed to add numbers together you're

  • allowed to subtract numbers you're

  • allowed to multiply numbers and you're

  • allowed to divide numbers you're allowed

  • to have powers but i'm actually not

  • using those because when you're writing

  • a program to do it they explode you get

  • these ridiculously big values and it's

  • just easier to not bother but they are

  • allowed I'm just not going to use them

  • and you're allowed to put brackets in to

  • choose the order so I'm going to put

  • some brackets there to symbolize that

  • and you're allowed to just bunch the

  • numbers together so if you look here

  • concatenation there you go well done

  • there you guys think that earlier today

  • they were you going to have a

  • concatenation theme today in fact you

  • could take these two videos that

  • involved concatenation and just play

  • them one after the other and so you

  • didn't bat an eye when three four five

  • six you like what hang on you didn't

  • think well what's the mathematical

  • operation you've done there to put them

  • in order you're just perfectly happy

  • that of course three four five six can

  • be there and so concatenations a strange

  • one there's no agreed symbol for

  • concatenation some people use two lines

  • some people use a plus in a circle some

  • people use like little dashes or dots

  • are all sorts of things i'm going to use

  • i tend to use the two lines right in to

  • be complete I probably should have put

  • in this picture if we go back to the

  • past to fix previous errors if I sing

  • more star I would have put three

  • concatenate for concatenate five

  • concatenate six and down here actually

  • done for concatenate three right you

  • know to be more fun so that is

  • concatenation is clearly allowed if we

  • just for some reason we never bother

  • spelling it up so what I'm going to do

  • is here's my almost but not good enough

  • attempt so gonna be a park of square

  • this is really cool right so you start

  • with 12 so one concatenate two to 12

  • then x 3 x 4 divide that by five

  • multiply it by six multiply it by seven

  • add on eight put that whole thing in

  • brackets and then multiply that

  • by nine okay so what does this equal

  • let's check that and we're close 10 9 58

  • mark with exactly if it equal 10 9 58 we

  • are on so here we go so one can catenate

  • to that's 12 x 3 x 4 / 5 x 6 x 7

  • equals okay so the whole thing there

  • plus 8 equals 1217 point 6 times 9

  • equals ten thousand nine hundred 58.4

  • that's that's not bad ten thousand nine

  • hundred if you say classic parker square

  • where you're in so much trouble Brady

  • laughs come on that's not bad right

  • that's as close as I can get within the

  • rules as initially I understood them man

  • what we'll do you think I'm not going

  • back a square on the screen runner okay

  • like a hashtag thanks for the quick a

  • day is unnecessary right okay anyway so

  • as long as you try to sell the t-shirt

  • again but do you know how many people

  • shop to my shows wearing Parker Square t

  • shirts unbelievable honor right anyway

  • so what's interesting about the

  • concatenation thing is it's never

  • explicitly stated to be able to look at

  • the start of the paper he talks a lot

  • about he loves plus product potentiation

  • two powers and brackets loves those he

  • will concede you can add in- and

  • division which you like the SEC they're

  • not as good as plus and multiplication

  • or products but they're okay and they're

  • allowed it he never explicitly says

  • concatenation all he does is in here he

  • goes you can add a and B multiplied a

  • and B powers of a and B oh and of course

  • AMV forming a number so all the ones in

  • here a lot of them do use concatenation

  • right from the beginning it's never

  • assumed you can't do that but it's never

  • used as a step during the calculation

  • it's only used in a setup of the numbers

  • that you then apply the other operations

  • to and I like that's a bit arbitrary it

  • should be a fully-fledged function if

  • you go include it you've got to include

  • it and so I found one x two concatenated

  • with three plus in brackets

  • four times 5 times 6 and then that so 4

  • times 5 just you know we're going with

  • this that's going to be 20 x 6 is 120 but

  • then 120 is concatenated with seven so

  • now you do the calculation first and

  • then you concatenate with another digit

  • then you add on an eight and that whole

  • thing you multiply by nine shall we

  • check it let's just do this simplify it

  • to their equals k 1 x 23 that's just 23

  • i think we're all quite happy with that

  • plus in brackets that's going to be 4

  • times 5 is 20 times 6 is 120 concatenate

  • with seven and then we're going to add

  • on 8 and then we're going to multiply

  • that 59 so now we've got 23 plus 12 if I

  • want to do this all at once actually you

  • know I'll do that step there is a

  • concatenation plus 8 and then that

  • there's x 9 okay so let's let's so we

  • checked into the calculator now that

  • feels like it's obvious enough that we

  • can we can drive this home 1207 plus 8

  • equals unsurprisingly 1215 x 9 equals

  • that plus the 23 at the top equals ten

  • thousand nine hundred and fifty-eight

  • there it is so we have filled the gap

  • because the gap was only there because

  • people weren't taking concatenations

  • seriously and I I've taken it seriously

  • I filled the gap and I'm going to send

  • it in I'm gonna I'm gonna be like I

  • think I thought the gap it is it is now

  • available let me give you that really

  • that's the only reason I found this by

  • the way is because I wasn't afraid to

  • try something where the odds are i was

  • going to fail miserably and i said i

  • think that is the morale of the Parker

  • square right you give it a go even

  • though it's probably not going to work

  • and you embrace it you own it when it

  • doesn't work every now and then it does

  • work out for you

  • times that base have we worked out the

  • length or something well you use a log

  • right so is log base whatever the base is

  • of your next digit

what's the closest you can get within

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一個10,958的解決方案 - Numberphile(數字愛好者) (A 10,958 Solution - Numberphile)

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    林宜悉 發佈於 2021 年 01 月 14 日
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