Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Numbersystems using powers
Replies: 12   Last Post: Sep 21, 2013 3:49 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
JT

Posts: 1,150
Registered: 4/7/12
Numbersystems using powers
Posted: Sep 20, 2013 1:15 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


Is there notational signs other then for square, cubic, quarctic and so on?

We could make numbersystems raised to powers and even mixed for real big numbers, what is thse called?

^2 8 4 +3 = 64+16+3 = 83

^3 4 2 +11 = 64+8+11=83

^4 3 +2 = 81+2 = 83

Even mixes like ^5 2 2 ^2 +3 or ^5 2 2 2 -13 = 83


Is there a formula for writing the shortest notation on powers for really big numbers or maybe an algorithm.

If numbers were written this way could one take shortcuts to certain arithmetic operations or would the work be same or even bigger?

I do not know how mathematicians and computers do operations on really big numbers, i think i could implement functions for doing these type of arithmetic operations but they are probably already worked out?

How is the computional cost doing this arithmetic vs using power towers arithmetic, and digit sizes vs powertowers?
What is the benefits drawbacks?

Is the shortest way to write a big number number is having as many digits in the base as in the power?


If we take a big none repetive number what is the shortest way to date to write this.

1294956383736345003882734533454692924556654929227373232843737939272746283284811232344958373489393922203048937348556341

Let see who can come up with the shortest way to write it using decimals and two additional signs. Preferably you should be able to arithmetic in an easy way albeit not the standard way. So no compression like solutions.

Well wolfram did not write any short form.
http://www.wolframalpha.com/input/?i=+1294956383736345003882734533454692924556654929227373232843737939272746283284811232344958373489393922203048937348556341







Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.