What's the largest total you can find...

in reality, all of this has been a total load of old bollocks
Positive Passion
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Re: What's the largest total you can find...

Postby Positive Passion » 11 Mar 2020, 21:04

Robert wrote: When you just write it out, only 3 and 421 are used ( although the result obviously includes other digits).



Surely if you write it out , only 3 is used.

3x3x3x3x...etc

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Robert
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Joined: 27 Dec 2013, 13:24

Re: What's the largest total you can find...

Postby Robert » 11 Mar 2020, 22:57

Positive Passion wrote:
Robert wrote: When you just write it out, only 3 and 421 are used ( although the result obviously includes other digits).



Surely if you write it out , only 3 is used.

3x3x3x3x...etc



I was thinking more of the formula for ttpo 3^421

For the faculty you need, apart from the digits, the ‘!’ Mark.

That was not a given, hence when written out you come to 4321x4320x 4319 etc, etc.

So, what I am arguing is that as characters to work with, only 1234 were given.

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Rorschach
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Re: What's the largest total you can find...

Postby Rorschach » 12 Mar 2020, 07:36

Robert wrote:
For the faculty you need, apart from the digits, the ‘!’ Mark.

That was not a given, hence when written out you come to 4321x4320x 4319 etc, etc.

So, what I am arguing is that as characters to work with, only 1234 were given.


Carlsson originally wrote:...using the digits 1,2,3 and 4 and any operation(s) you want?


I'm no mathematician so I may well have the terminology wrong but isn't the '!' an 'operation'? That's what I'd understood and it was one of the first things I thought of as a possible solution.
Bugger off.

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Robert
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Re: What's the largest total you can find...

Postby Robert » 12 Mar 2020, 10:37

Rorschach wrote:
Robert wrote:
For the faculty you need, apart from the digits, the ‘!’ Mark.

That was not a given, hence when written out you come to 4321x4320x 4319 etc, etc.

So, what I am arguing is that as characters to work with, only 1234 were given.


Carlsson originally wrote:...using the digits 1,2,3 and 4 and any operation(s) you want?


I'm no mathematician so I may well have the terminology wrong but isn't the '!' an 'operation'? That's what I'd understood and it was one of the first things I thought of as a possible solution.



Yes. agreed.

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C
Robust
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Re: What's the largest total you can find...

Postby C » 12 Mar 2020, 21:26

Robert wrote:
Rorschach wrote:
Robert wrote:
For the faculty you need, apart from the digits, the ‘!’ Mark.

That was not a given, hence when written out you come to 4321x4320x 4319 etc, etc.

So, what I am arguing is that as characters to work with, only 1234 were given.


Carlsson originally wrote:...using the digits 1,2,3 and 4 and any operation(s) you want?


I'm no mathematician so I may well have the terminology wrong but isn't the '!' an 'operation'? That's what I'd understood and it was one of the first things I thought of as a possible solution.



Yes. agreed.


In my books, yes in the same way a square root is an operation

One is operating on numbers in a certain way defined by the agreed rules and principles of mathematics

It can be argued that there is an infinite number of operations (that is why addition, subtraction, multiplication and division are often referred to as the 'basic' operations)

For example:

I am going to define a*b as 2a + 5b

So 1*3 = (2x1) + (5x3) = 2+15 = 17

And

3*7 = (2x3) + (5x7) = 6+35 = 41

Another operation I could define is:

x.y = (2x- y)/2

So

5.3 = [(2x5) -3]/2 = 7/2 = 3.5

I can continue making up operations ad infinitum



Just to clarify - going back to say a*b for the 'basic' operation addition we could write the given rule as

a*b = a+b

and for the 'basic' operation subtraction as

a*b = a-b






.
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