I model and doodle stuff
I think I got the idea, I just now updated the original post and added a footnote how I understood the Brahmagupta–Fibonacci identity.
I have only surface knowledge about imaginary numbers, but I have noticed sum of two squares being also referred as Gaussian integers.
There’s definitely a lot of material to read about relating both Gaussian integers and Pythagorean triples, that I can gain intuition how all of these relations work out. I much appreciate the help!
Thank you for the answer! I have to take deeper look into that.
It’s rather interesting how seemingly two different sum components share factors. It’s like finding pi from seemingly unrelated series.
After some thinking I came up with this.
Conjecture:
N² = a²+b²
N = c²+d²
a = 2*c*d
b = d²-c²
integers a,b,c,d>0
For any integer N that can be expressed as both N²=a²+b² and N=c²+d², the relationship a=2*c*d holds.
Is it enough proof just to show that the above equations are true when substituting them to N² and N equations?
If a = 2*c*d
then one leg of the Pythagorean triple definitely contains c and d factors and ‘2’. This might be related to Pythagorean triple parametrization.
I fixed the flawed ChatGPT counterexample finder script and now it gives this list of all numbers including composites which don’t follow these rules, such as 58. Here’s sub-sequence of A004431 numbers that don’t follow the rules:
Numbers which neither Pythagorean side is divisible by 4
Composites: [10, 26, 34, 50, 58, 74, 82, 90, 106, 122, 130, 146, 170, 178...]
This is identical to Sums of two distinct odd squares A339977 which makes sense as if c,d>1 and odd, they must be 3 or bigger hence their factors are missing the extra ‘2’, unlike primes where one of c or d is always even.
Even composites appear to follow a=2*c*d
relation. The prime pythagorean side divisibility by 4 appears to be just a side effect.
That’s what 65dos Taipei music video looks like, though that was released 2013
https://youtu.be/06ObT5yIIx8
That’s at least fifty!
I’ve been using lemmy almost a year now and it has been fairly smooth. But I still get logged out every time I refresh some community pages which is strange.
So it’s illegal to die poor
Thank you so much! <3
basically Komodo dragon + maned wolf = maned dragon
Thank you ^^ It’s not a dragon in traditional sense, but I might just do that!
It’s funny how caught up I got about fantasy etymology after reading couple weeks of taxonomy and zoology
Yea! That’s why it’s more useful to specify traditional, mythological or a certain type of a dragon that have become more popular in recent fantasy.
The dragon term doesn’t necessarily need a strict definition. It’s just my preference that having structure is better and then you can decide how to break the norms. Although, most of these new variants share the same name ‘dragon’.
I still see the evolution of the term fascinating even if it is becoming more generic.
Same thing with alcohol prohibition. People are going to break the law, legal or not. The US is said to be the freedom land, but women can’t have autonomy over their bodies.
What I gathered is that 70% of the US congress is men, so it’s not their freedom that they sacrifice.
Christian values are important to some voters, so politicians can gain free points by promising anti-abortion laws.
The politicians who make such decisions think one term at a time and disregard the consequences as long as it doesn’t affect them. If they actually cared, they would also advocate for childcare benefits.
I just have it in muscle memory to know which way soda bottle cap tightens
It looks bad for the advertisers to use strong words or take a stance.
That was a good watch, I can see binary view being at least part of the problem. I did think that religion might be part of the reason for some laws, but somehow didn’t realize how big. And the video had many other good points worth of the watch.
Thank you so much :3
It’s subjective and I prefer him being it’s own species now since I started reading about zoology.
In fictional world there’s no rules, but I liked the challenge thinking what species would it be if not a dragon or a hybrid, and based it on the real-life evolution.
Correct! This is toony style, but the eyes would be more slitted for better depth perception.
I updated the description with GitHub page about the species that I have been working on lately.
I forgot to mention that the video shows 5pp for Venom Bite, but decided to change it since to more closely match thunder.
Old: 5pp 120 power, 85% accuracy, 33% chance to poison
New: 10pp 120 power, 70% accuracy, 30% chance to poison
I decided to lower the accuracy because poison status already deals 1/8th the damage each turn and Fire blast which accuracy is 85% has only 10% effect chance. The lower accuracy then balanced by the power point increase.
Comparison to gen 2 moves:
Fire blast: 5 pp, 120 power, 85% acc, 10% effect
Hydro pump: 5 pp, 120 power, 80% acc, --% effect
Thunder: 10 pp, 120 power, 70% acc, 30% effect