Publications by Neonira
Main issues when switching from R to Python and vice versa
Related To leave a comment for the author, please follow the link and comment on their blog: neonira’s blog. R-bloggers.com offers daily e-mail updates about R news and tutorials about learning R and many other topics. Click here if you're looking to post or find an R/data-science job. Want to share your content on R-bloggers? click here i...
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Collatz Sequence – part 1
Collatz sequence is a well known suite mathematical suite, remaining unproved as far as I know. Let’s play with it and discover some of its secrets. To discover its behavior, we stop whenever we reach 1 as input, otherwise depending on parity of υn, we apply Let’s name 3υn + 1 the ODD rule, and the other the EVEN rule. Notation conventio...
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Collatz Sequence – part 2
On first post part , we got some intuition about Collatz sequence], that seems to be unproven yet. Let’s try to prove it mathematically. Some mathematic reminders Canonical form a a natural integer We name canonical form any natural integer n, written under one of following forms n = 10 t + u n = 100 h + 10 t + u Note that n, h, d, u ∈ ℕ�...
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Collatz Sequence – part 3
On first post and second post parts, I set-up the mathematical context to prove Collatz conjecture. Cluster analysis To prove Collatz sequence conjecture, we need some extraneous analysis. Reusing results of digit mutation proof, we know that the transition path from one number to another is driven by its unit digit, and that the transitions are ...
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Collatz Sequence – part 4
Find previous posts if you haven’t yet read them. first post, second post, third post, . Analysis of cluster 1 A reminder first. cluster 1 is made of numbers with unit digit being part of set S1 = { , , , }. cluster 1 paths Reusing results from second post about digit mutation, we can determine all the paths of cluster 1. Entry point is uniq...
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Collatz Sequence – part 5
Find previous posts if you haven’t yet read them. first post, second post, third post, and fourth post. Numerical approach for number made of 1 unique digit First important result All the numbers from 1 to 9, provides 1 as final output of Collatz sequence. This could be easily demonstrated numericaly, just by applying Collatz rule in sequence ...
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Collatz Sequence – part 6
Proof of Collatz sequence convergence. Some reminders first Remember Collatz sequence definition Let’s divide the Collatz sequence into two independent suites, for analysis convenience. First suite ω is for numbers: ωn + 1 = 3 ωn + 1 Second suite η is for numbers: ηn + 1 = ηn / 2 Resolution for numbers from 2 to 11 resolution...
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Collatz Sequence – part 6
Proof of Collatz sequence convergence. Some reminders first Remember Collatz sequence definition Let’s divide the Collatz sequence into two independent suites, for analysis convenience. First suite ω is for numbers: ωn + 1 = 3 ωn + 1 Second suite η is for numbers: ηn + 1 = ηn / 2 Resolution for numbers from 2 to 11 resolution...
3744 sym R (66 sym/1 pcs) 4 img 1 tbl
Articles worth reading June 2018
:skull: marks article you’ll need resilience to what you read, as it may impact you deep :hearts: marks articles easy and positive :man: marks article for men :woman: same for women Internet articles worth reading :skull::skull::skull: Venezuella nightmare – a view of socialism in action :cold_sweat::sob::scream: La fabrication du consenteme...
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Football FIFA world cup 2018 – global pronostics review
2018 FIFA World cup football is reaching semi finals tonight. It is time to have a review and to draw the lessons learned. As a reminder, know that I am just interested about right pronostic of the end of the game, I mean Win, Draw or Loss, not about the score. Pool predictions Here is the summary table of my pronostics … not really good predi...
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