Monday, March 19, 2012

'Infinity Computer' Calculates Area Of Sierpinski Carpet Exactly - Technology Review

'Infinity Computer' Calculates Area Of Sierpinski Carpet Exactly - Technology Review  Sergeyev begins by adding a new axiom to the axiom of real numbers, which he calls the infinite unit axiom. This introduces grossone--the infinite unit.

Because it is governed by the other axioms of real numbers, grossone behaves much like one too. So it's possible to multiply grossone, divide it, add to it and subtract from it, just as is possible with other real numbers.

That suddenly makes working at infinity much easier by using a computing process that Sergeyev calls the infinity computer, which has the additional axiom built in. "The introduction of grossone gives a possibility to work with finite, infinite and infinitesimal quantities numerically," he says.

To show off its power, he works through the Sierpinski carpet examples given above, revealing how it's possible to keep track of the number of iterations at infinity simply by adding or subtracting real numbers from grossone. If a square can created in grossone steps, a square doughnut can be created in -grossone minus 1- steps. In this way, it's a simple matter to differentiate between any of the shapes in carpet sequence.

26 comments:

  1. I appreciate this article for the well-researched content and excellent wording. I got so interested in this material that I couldn’t stop reading. Your blog is really impressive. Technobix

    ReplyDelete
  2. Most of the time I don’t make comments on websites, but I'd like to say that this article really forced me to do so. Really nice post! Arinda IT Services

    ReplyDelete
  3. I definitely enjoying every little bit of it. It is a great website and nice share. I want to thank you. Good job! You guys do a great blog, and have some great contents. Keep up the good work. digitalisieren

    ReplyDelete
  4. You completed certain reliable points there. I did a search on the subject and found nearly all persons will agree with your blog. 4kcomputermonitor.com

    ReplyDelete
  5. Incredible Article it its truly instructive and inventive update us as often as possible with new upgrades. its was truly important. much obliged.  Skype Latest Setup For Windows

    ReplyDelete
  6. There are a lot of blogs and articles out there on this topic, but you have acquired another side of the subject. This is reliable content thank you for sharing it. https://www.onsist.com

    ReplyDelete
  7. This comment has been removed by the author.

    ReplyDelete
  8. I portt any phrase to understand this pronounce.....really i'm impressed from this publicize....the person who make this claim it became a pleasurable human..thank you for shared this in the back of than us. tnf-dubai.com

    ReplyDelete
  9. On the off chance that you need to buy a total solar framework and get it introduced, contact more than one seller. Presently you can pose the correct inquiries. Prijs - Rendement Zonnepanelen in 2019

    ReplyDelete
  10. I would like the information posts, Help make appreciated, I might favor far more details applying this, considering it is very desirable., Bless an individual made for creating. transparent display

    ReplyDelete
  11. This is not a condition for a 'peace treaty' or dialogue but a wake up call to a total surrender and submission to learning and mastering computer operation. Read computers reviews

    ReplyDelete
  12. Detroit carpet cleaning Carpet cleaners Detroit MI. carpet cleaning carpet cleaning and carpet cleaners

    ReplyDelete
  13. You delivered such an impressive piece to read, giving every subject enlightenment for us to gain information. Thanks for sharing such information with us due to which my several concepts have been cleared. koktale

    ReplyDelete
  14. The whole world immediately is shifting for the features that web is offering. Utilizing web with your browsers and download twitter videos any kind of articles that you just want to have will be a straightforward activity to be able to perform, the question is usually how fast do all of us perform these duties

    ReplyDelete
  15. Your blog is too much amazing. I have found with ease what I was looking. Moreover, the content quality is awesome. Thanks for the nudge! home advisor

    ReplyDelete
  16. Outsider carpet controllers are commonly the individuals who wind up settling on the choice on why the carpets are coming up short.timber flooring

    ReplyDelete
  17. I'm constantly searching on the internet for posts that will help me. Too much is clearly to learn about this. I believe you created good quality items in Functions also. Keep working, congrats! Carpet Cleaning Companies Fayetteville NC

    ReplyDelete
  18. We all know how carpets attract dirt so much. Even if we try to take care and keep our carpets clean, there will always be a stain that will begin to pop out of it. portable carpet cleaner

    ReplyDelete
  19. A very excellent blog post. I am thankful for your blog post. I have found a lot of approaches after visiting your post. faça login no Hotmail aqui

    ReplyDelete
  20. Notwithstanding, on the off chance that you don't have involvement here, it's certainly best and will profit you the most to search out the individuals who do. Here are a few reasons why. carpet installation

    ReplyDelete
  21. Many have been in this profession for different years. Perusing a couple of articles online can never rival somebody who's done this with their hands various occasions. laminate flooring

    ReplyDelete
  22. Solar-warm panels work uniquely in contrast to PV panels, and don't include power. Zonnepanelen installateur

    ReplyDelete
  23. A landing page and its contents should be enticing enough to compel the users to take the bait. The online users should find the digital marketing course in hyderabad

    ReplyDelete
  24. Many industries use data science in order to automate different tasks. Businesses use historical data for training their machines to do repetitive tasks. And this is what simplifies arduous jobs done by humans a few years back. data science course syllabus

    ReplyDelete
  25. This particular is usually apparently essential and moreover outstanding truth along with for sure fair-minded and moreover admittedly useful My business is looking to find in advance designed for this specific useful stuffs… itprospt.com/what-to-do-if-xinput1_3-dll-is-missing-windows-10/

    ReplyDelete