🎓 Doc Freemo 🇳🇱 @freemo@qoto.org

@math

Hidden Markov P\'olya trees for high-dimensional distributions

Check this out...

#Math #Science #MachineLearning #AI #Statistics #CimputerScience #Algorithms #ComputerEngineering

## Looking for Math Help...

So met the guy who wrote this paper/post on a plane trip several years back where I was flying out on a business trip. I've done hundreds of them so they kinda all blend together and I didnt really remember who he was.

Anyway a few days ago he pops up into my emails, must be 4 years, maybe more, since the trip, and says he remembers me, apparently we talked some advanced math or something cause he knew I was the perfect guy to check out is NvNP math proof. Anyway, convinced him to come here and share it with all you guys, he could really use some feedback.

So yea, if you know any math or are just curious please check out @carlostomas 's paper attached as the quote/link on this post it would really help him out. I'll be taking a look when I get a chance soon as well.

#math #maths #Mathematics #ComputerEngineering #Algorithms @math

@theamazingweb @General

Hey group, cool little visualization showing the birthday paradox!

https://pudding.cool/2018/04/birthday-paradox/

#math #maths #logic #science

My article is finally up on reddit (had trouble getting the moderators to approve it for some reason). As a result it hidden for over a day. Any of you who are redditors check it out over there and if you like it give it some love.

https://www.reddit.com/r/electronics/comments/j1qku4/an_indepth_tutorial_about_modeling_circuit_duals/

#Electronics #EE ##RF #HamRadio #AmateurRadio #Science #Physics #Math #Maths #mathematics

For those of you who enjoyed my recent blog post on Circuit Duals and Magnetic Circuits I have now compiled a version of it in PDF if you want to keep a local copy or have it for reading on on an e-reader. Feel free to distribute the link.

https://drive.google.com/file/d/1fECh_IeFYBHoFuaw08zO2dkluZPunkP7/view?usp=sharing

For those of you who are just now hearing about it the article describes the idea of Duality in math, how it applies to circuits, how to calculate duals for systems of equations, and a few examples of circuit duals. It also goes indepth on magnetic circuits as a dual of electric circuits. There is an interesting blurb at the end about how to extract energy from permanent magnets as well.

If you prefer the more colorful blog link instead, which will also be the only place I make corrections or update it most likely, the link for that is as follows:

http://jeffreyfreeman.me/an-indepth-look-at-duals-and-their-circuits/

#Electronics #EE ##RF #HamRadio #AmateurRadio #Science #Physics #Math #Maths #mathematics #qotojournal

So two weeks working on this article about Circuit Duals and Magnetic Circuits and it is finally finished and published! Check it out!

Its about mathematical duals and how they relate to electric circuits. I cover several common circuits as duals and how to calculate duals. Bu I also describe a rarely known type of circuit dual called a magnetic circuit that uses the magnetic field instead of an electric field to do all the things an electric circuit can do and explain magnetic inductors and capacitors. It's pretty cool stuff, I even touch on how you can extract energy from the magnetic field of a permanent magnet to power a magnetic circuit (or an electric circuit for that matter.

http://jeffreyfreeman.me/an-indepth-look-at-duals-and-their-circuits/

#Electronics #EE ##RF #HamRadio #AmateurRadio #Science #Physics #Math #Maths #mathematics #QOTOJournal

Ok I think my article will be ready to be published tomorrow after I do one more re-read in the morning.

In the meantime I'd really appreciate anyone giving it a read and seeing if they find any errors please. I really could use some final eyes on this before I publish it live!

http://beta.jeffreyfreeman.me/an-indepth-look-at-duals-and-their-circuits/#the-voltage-current-dual-under-parallel-series-transformation

You can suggest edits direct on my repo or here, I will be happy to give a thank you link at the bottom to anyone who helps.

n the source for my blog:

https://git.qoto.org/freemo/freemo-site-beta/-/blob/master/source/articles/2020-09-22-an-indepth-look-at-duals-and-their-circuits.html.md

Its about mathematical duals and how they relate to electric circuits. I describe a rarely known type of circuit dual called a magnetic circuit that uses a magnetic field instead of an electric field to do all the things an electric circuit can do and explain magnetic inductors and capacitors. Its pretty cool stuff, I even touch on how you can extract energy from the magnetic field of a permanent magnet to power a magnetic circuit (or an electric circuit for that matter.

#Electronics #EE ##RF #HamRadio #AmateurRadio #Science #Physics #Math #Maths #mathematics

Help! From anyone interested in English, Physics, Math, or Science.

I have written a rather massive article in the hopes of teaching people with mid-level knowledge in electronics about the idea of Duals in mathematics, how that applies to circuits and the various types of circuit duals that exist

I also include a great deal of detail in the end about one very obscure and rarely studied circuit dual called the magnetic circuit dual, it is a circuit, like a magnetic circuit, but instead of current being the flow of electrons, it is the flow of a magnetic field through wires made of iron instead of copper.

I even touch on briefly how one can extract energy from permanent magnets and other details most people arent very familiar with.

The problem is the article is massive and I really could use some eyes on it. Whether its just to try to help me catch english mistakes, or if your not that experienced perhaps tell me the parts that are confusing, as I would like this to be accessible to people who may not be scientists and only know entry level electronics or science. any feedback from anyone at any level would be highly appreciated.

Keep in mind I couldn't find many good sources laying out the equations for magnetic circuits very clearly so I had to derive a lot of the equations myself, though the concept is well established as fact and many peer-reviewed papers have been written on it. But bear in mind there may be minor errors in my math as well, so that too needs some criticism, though the math should be fairly close to correct.

Anyway any input from anyone would be much appreciated.

The draft of the article can be found on the beta site for my blog, here is a direct link:

http://beta.jeffreyfreeman.me/an-indepth-look-at-duals-and-their-circuits/

Similarly if you find any mistakes you can message me here, or you can leave a merge request on the repo for the article, here is the direct link to the markdown file in the source for my blog:

https://git.qoto.org/freemo/freemo-site-beta/-/blob/master/source/articles/2020-09-22-an-indepth-look-at-duals-and-their-circuits.html.md

It is much prefered that if you have specific edits like english or math you do it as a pull request as it can be a huge pain for me to hunt down the specific part of the text you are referring to if you point out mistakes as replies here. However if your unwilling to do a merge request please still ping me here as I'd rather know than to just let it go unnoticed.

Anyone who helps I will add a thank you with your name and a link to your own site at the bottom of the article if you wish, this might help draw some traffic to your own site.

#Electronics #EE ##RF #HamRadio #AmateurRadio #Science #Physics #Math #Maths #Mathematics #English

I have been writing a blog article that is getting so big its a small text book at this point. Easily the biggest and more detailed blog article on a subject I have ever wrote.

The topic is Duals of Electrical circuits.

It takes me half the paper to even get to electronics, I start by trying to describe what a dual is in general terms, give simple mathematical examples, then go onto duals of systems of equations where I finally tie it into electrical circuits.

At that point I dive into a series of examples of different types of duals for electrical circuits, and then finally end with describing a magnetic circuit as a dual for an electric circuit, where the power sources become magnets, the copper wires are replaced with iron ones, electrical current is replaced with magnetic current (which is a propagating magnetic field), and then I explain each magnetic dual for each discrete component like capacitors, inductors, resistors, and transformers. Needless to say this thing gets really deep really fast.

If your interested in seeing the final result keep an eye out on my blog, should be released any day now.

http://jeffreyfreeman.me/an-indepth-look-at-duals-and-their-circuits/

#Electronics #EE ##RF #HamRadio #AmateurRadio #Science #Physics #Math #Maths #Mathematics

So I just provided the answer to this Stackexchange question and I noticed something kinda cool and interesting in the final equation:

https://electronics.stackexchange.com/questions/520155/in-magnetically-coupled-coils-what-is-the-difference-between-coefficient-of-cou

The equation, for those of you on a Latex capable instance is:

\( k \cdot \frac{N_p}{N_s} \cdot \sqrt{\frac{L_s}{L_p}} = R_\phi\)

In this case R, the flux linking ratio, must be a value between 0 and 1 and represents the percentage of flux that is mutual between two coupled inductors (a transformer).

Similarly k is Coefficient of Coupling, which is also a ratio between 0 and 1. It is a different measure of how well coupled two inductors are.

What I find interesting about the equation is that all the other variables can be anything from 0 to infinity, so at first glance you would think that it would be possible to have a scenario where either R or k are greater than 1. But in reality because the number of windings of the primary and secondary have a reciprocal relationship to that of the square root of the ratio of the inductances, in reality any real world values that you could plug in here would actually never be able to produce a contradiction.

If you look at the equation to calculate the inductance of an inductor based on its number of turns this becomes obvious. for simplicity if we assume the diameter if the inductor and the wire thickness are all the same then the relationship is basically the following:

\( L = N^2 \cdot C \)

Where L is the inductance, N is the number of turns, and C is some constant. So essentially the square of the number of turns of the inductor is linearly proportional to its inductance. Going back to the equation I was talking about this basically counters the sqrt function in the equation and it becomes obvious why any real world values would always satisfy the equation correctly.

#Electronics #ElectricalEngineering #EE #Math #Science #Physics #Maths #Mathematics

A fun article I just wrote explaining what the Reflection Coefficient is and how it can be used:

http://jeffreyfreeman.me/understanding-the-reflection-coefficient/

#Electronics #RF #Radio #Maths #Math #Mathematics #Physics #HamRadio #Ham #AmateurRadio

A slightly delayed #FollowFriday / #FF I know, but I also don't want to skip this one as we have a lot of new cool people

===== New =====

@louiscouture - A new user from Quebec, his profile reads: I like coding, technology and taking long walks, photography, politics and science. 8values says I’m libertarian socialist but I am just confused and only want a better world for all of us. Do not talk to me about inches and feet unless it’s body parts because I do not understand what it is.

@compass_straight_edge - His interests (that I know of) seem to be #programming and #Math

@svmihar - A gamer and a coder, does some #python.

@EVoCeO From his profile: Hi, new to decentralized social media and social media in general. I chose Mastodon because if its uncensored nature and chose qoto because of its philosophy. Such a fresh take on social media I'm excited to try it out.

@Demosthenes - Also brand new, but has jumped right in and been pretty active since he signed up.

@ml - Seems like an Open-source / #Linux user. He is brand new but gonna keep an eye on him for future posts.

===== Old=====

@soundofsun - From her profile: 𝖐𝖊𝖊𝖓 𝖔𝖓 𝖆𝖓𝖆𝖑𝖞𝖟𝖎𝖓𝖌 𝖙𝖍𝖊 𝖘𝖍𝖚𝖉𝖉𝖊𝖗 // 𝖑𝖞𝖎𝖓𝖌 𝖉𝖔𝖜𝖓 𝖎𝖓 𝖙𝖍𝖊 𝖉𝖆𝖗𝖐 𝖙𝖔 𝖉𝖗𝖊𝖆𝖒 // 𝖆 𝖗𝖔𝖈𝖐𝖆𝖇𝖎𝖑𝖑𝖞 𝖗𝖎𝖉𝖊 𝖋𝖗𝖔𝖒 𝖙𝖍𝖊 𝖌𝖑𝖎𝖙𝖙𝖊𝖗 𝖙𝖔 𝖙𝖍𝖊 𝖌𝖑𝖔𝖔𝖒
☁️🌑🏔️🤍

@2ck - From his profile: A capable software engineer and aspirating (sic) cook

@JulianRott - Mostly posts interesting #STEM articles.

@zleap - Interested in #Technology, #Science, Fediverse, Linux and free software.

@lupyuen - One of our embedded / IoT guys, seems to focus a lot on digital hardware and software. Lots of cool projects on his feed, he brands himself as "Techie and Educator in #IoT "

I think I want to refresh my Quantum Mechanics skills.I have a text book "The mathematics of Quantum Mechanics" that I am tempted to go over. Its been a few years since I did any QM seriously and I think I lost some of my understanding.

#Math #maths #mathematics #physics #science #QM #QuantumMechanics

Anyone ever read "The Determinacy of Long Games"?

I'm in the mood to learn some new math, or at least read some math. The title sounds intriguing.

#math #maths #mathematics

I feel like linear algebra should have a common operation, like transpose, that basically takes a Nx1 or 1xN vector and diagonalizes it (turns it into a NxN vector with the values across the diagonal)

#math #science

Ohhh found an old paper I wrote 7 years back explaining rotations in N-dimensional space.

https://drive.google.com/file/d/0ByjW3wQ-MKaCSGdGUG1zYVpFWHM/view?usp=sharing

#math #mathematics #linearalgebra #vector #vectors #geometry #QotoJournal

Anyone out there understand or is an expert on double-rotations (not to be confused with simple rotations) when talking about 4D space?

#Math #Mathematics #LinearAlgebra #vectors

Some really nice eye candy showing various quarantining and social distancing techniques and how it effects the spread of a virus.

Worth checking this out even if its just for the animations:

https://www.washingtonpost.com/graphics/2020/world/corona-simulator/

#coronavirus #science #math #maths #mathematics

People never seem to realize that a great many of the logical fallacies they engage in every day could be avoiding if they just understood Regression to the Mean!

#Statistics #math #maths #mathematics

A nice little challenge for the day. Attached is the image for the question/challenge. A few notes

1) you must fill in all the boxes
2) you can not add any symbols into the box other than the provided numbers.
3) you cant use a trick of the wording to solve this, it must be solved with mathematical trickery
4) the answer is not "no" there is an actual solution by picking 3 numbers.

#Math #Mathematics #maths #riddle #challenge