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FragmentedCurve

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  1. I don't really know how to answer your questions because they don't really make sense. From what I can gather, the important thing is you want [math]x>q[/math]. Below I give your conjecture with a simpler function that has the same property along with a proof. Conjecture Given the function [math]f(x)=\frac{x^2}{N}[/math], if N=pq is a semiprime and p>q , then p>x>q when f(x)=1 . Proof [math]1=\frac{x^2}{N} \implies \sqrt{N}=x[/math] Given that p>q , then [math]p^2>N>q^2 \implies p>\sqrt{N}>q \therefore p>x>q[/math].
  2. I'm coming to this thread late and trying to make sense of it. @Trurl, your writing style is difficult to parse. You should also learn [math]\LaTeX[/math] which will make it easier for others to read your math. @Trurl correct me if I'm wrong about your work and motivation. This is what I understand you're trying to do. The motivation is to find a method of approximating the smaller prime factor of a semi-prime. So, if [math]N[/math] is a semi-prime and [math]p[/math] and [math]q[/math] are primes such that [math]q<p[/math] and [math]N=pq[/math], then you want a function [math]f(x)[/math] such that there exists a point [math](n, f(n))[/math] where [math]f(n) \approx q[/math]. And the reason you want such a function is so if [math]n[/math] is known or easy to find, then you limit the search space to find [math]q[/math] and you also approximately know the lower bound for [math]p[/math] because it must be greater than [math]q[/math]. I don't think he gets the number 3, it's a counter example.
  3. This was actually very helpful. It lead me to some real world examples I can look at.
  4. I haven't seen this before. This looks interesting. Free is always good but I'm looking for either of them. I own a license for Mathematica; so add-ons for Mathematica (or sagemath) are welcomed. I was trying to cast a wide net. Anything that is applicable to the physics and molecular construction of materials is desirable. Also, software for simulating the mechanics of materials is good. For example, I had an idea about canceling out wave propagation across a series of rigid structures of different material. In this situation, I'd hook up some sensors to a raspberry pi. Setup a structure to control the possible variables. Produce a wave through the structure. In this situation, I'd also be writing software for the raspberry pi. I'd like to move the structure(s), the sensors, and the wave generation into software. Instead of the software on the raspberry pi collecting data directly from the sensors, it would get the output from the software simulation. Any software that can simulate the physics & chemistry for the molecular structure of materials, the thermodynamics of materials, the Newtonian mechanics of materials, and fluid dynamics. I'd like workflow of the simulation software to work on first principles rather than being heavily designed with a specific engineering application. Is this narrow enough to be helpful? I'd like to take Menlo Park laboratory and put it in a RAD software environment.
  5. I'm an outsider to the physical sciences. My only real skill sets to date are math (of the pure kind) and CS. But I seem to have an undying desire to pursue goals and ideas in the physical sciences. (I say "physical sciences" because I don't want to limit myself to physics, chemistry, or material science.) Many of my goals sit at the intersection of research and invention. Nobody is going to give me a lab and I don't have the means to build my own. Because I lack the means, I started gravitating towards existing hackerspaces (and possibly starting my own). COVID has put using hackerspaces to a halt. So, I started looking into using software simulations to experimentally test hypotheses. Now, this kind of brings me into a world I'm more familiar and comfortable with. While researching the tools of the trade, it was obvious there's a lot various tools & techniques and they vary by niche. Each niche is a world of tools, techniques and jargon. Navigating these established communities only for the purpose of surveying what they have, for the sake of finding an application to a specific problem is time consuming. Can the experts here pull together a list of software tools, books, papers and advice on the topics of computational physics, computational chemistry, and computational material science? Keep in mind, the context is the lone capable scholar using these tools and skills as a substitute for a lab.
  6. I get the feeling you'd be interested in the recent work of Stephen Wolfram and his crew if you haven't already been looking at it. He builds up geometry from just nodes and edges (graph theory) with the goal of deriving what we know about physics already. https://www.wolframphysics.org/technical-introduction/basic-form-of-models/ From what I understand, when he published his big book NKS approximately 20 years ago, he knew cellular automata (and graphs) was too limiting for his purposes because it imposed structure. In recent years, a colleague of his Jonathan Gorard put together the piece Wolfram was originally missing which was building his models with hypergraphs. After that collaboration they feel they've made a great deal of progress. I haven't been following their work closely, so I might be off with the details. Anyway, you might be into it.
  7. The top protocol might be useful to you. It's p2p and encrypted. It's intended as a instant messaging protocol but there's nothing stopping you from building an application on top of it instead. https://tox.chat/ Also, you might find it useful to play around with tox using the ratox client. https://ratox.2f30.org/
  8. Let's be a little more rigorous. It's not entirely accurate to say findComputerMove is not returning values. The problem is it's not returning a tuple and is instead returning the None type. Python is strongly typed. Let's go back and rewrite a previous code snippet: # Original code # a, b, c = self.findComputerMove(foo, bar, something) result = self.findComputerMove(foo, bar, something) a, b, c = result The first assignment is just a normal variable value assignment. At this moment, Python doesn't assert that the type returned by findComputerMove be a specific type. It will accept an integer, float, string, and even a tuple. Whatever type that findComputerMove returns, defines the result's type. However, the second assignment isn't the same as the first. It's a tuple assignment. The = symbol is a tuple assignment and it expects the right side to be a type that is iterable. And it must be the same length as the left. It's short for the following: result = self.findComputerMove(foo, bar, something) a = result[0] b = result[1] c = result[2] Here's some code about types for you to look over and think about: >>> def do_nothing(): ... pass ... >>> foo = do_nothing() >>> bar = None >>> type(foo) <class 'NoneType'> >>> type(bar) <class 'NoneType'> >>> foo is bar True >>> foo is None True >>> foo == bar True >>> foo == None True >>> def do_none(): ... return None ... >>> do_none() is do_nothing() True >>> do_none() == do_nothing() True >>>
  9. In your OP, findComputerMove is defined as: def findComputerMove(self, row, column, pieceStr): print("Inside find Computer Move") I don't see 3 values being returned. I don't see anything being returned. When you write a line of code like the following: a, b, c = self.findComputerMove(foo, bar, something) the assumption is that findComputerMove returns a tuple of length 3. Is that clear?
  10. import numpy as np class Board: # ... def findComputerMove(self, row, column, pieceStr): print("Inside find Computer Move") def computerModule(self, pieceStr): n = 8 row = -1 column = -1 pName = "" row, column, pName = self.findComputerMove(row, column, pieceStr) # This is the problem return True def main(self): # ... if __name__ == "__main__": objBoard = Board(8) objBoard.main() In computerModule you're calling findComputerMove. What does findComputerMove return? (Your code has more problems after you answer that and solve the problem.)
  11. If that's true, do we know why they'd prefer one species over another? And what would make them prefer one host over another within the same species?
  12. No. It was an impromptu hike into the woods behind my house -- a nature walk. We didn't have any kind of bug repellent. However, I don't know if he was wearing deodorant or cologne. The reason we did the experiment was because I've had so many anecdotal experiences like this with ticks, I wanted a real measurement. Especially with this particular friend. We'd walk the same path through tall grass or in the woods and I'd come out with ticks on me while he'd have none. On that day, I took the opportunity to have a somewhat controlled experiment, since I had the living tick. I should point out, if anyone tries to repeat this, I'd really like to know the results.
  13. I see where the miscommunication is -- how I got the tick. In this particular case, my friend saw it on my neck/shoulder area before it bit me. I just picked it up. The result could've been a coincidence. We only did 11 "trials". I thought it was enough to suggest that something is going on with how a tick finds a body.
  14. It wasn't latched. And no... I don't smoke anything... I'm not here for ethics (despite my avatar).
  15. Why would it be animal cruelty? Are you saying it's like dangling a treat in front of a dog but never giving it to him?
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