Can anyone explain what they are and how they're used to solve equations?
I know basic group theory. I've read that they were a precursor to Galois Theory, but I can't find any good resources to what they actually are or how they're used.
Thanks
It would be interesting to follow the unfolding of the telescope in the coming weeks. I know I can view the international space station and the Webb telescope will only be a bit further out. What time of day and method of viewing would work best?
I am acquainted with field theory and the modern (Emil Artin's) point of view of Galois theory. However, I am fascinated by Galois' approach to the theory which I believe is connected to the Lagrange resolvents. I read bits of these classical ideas from the appendix of Rotman's Galois theory and by skimming through Harold Edwards book. But I am not able to understand the structure that Galois discovered.
Can anyone explain Galois theory through Lagrange resolvents to me like I am an undergraduate?
Related questions: What exactly is a resolvent? How did Lagrange and Galois naturally arrive at "groups"?
https://www.youtube.com/watch?v=VS7BLI4rs_E&t=397s
Release Link is down below these Notes!
RetroArch Updated to 1.9.10 for MD/SNES/NES. Still at 1.8.5 for PSC, for now, due to a few notable bugs! Sorry for the inconvenience!
TL;DR
If you don't want to sit back and read all of these Updated Notes, you can just go to my YouTube Channel, and look back through videos dating back to Sept '21, to see the gist of what made it into this Update, minus "Brutal Doom!"
https://www.youtube.com/c/KMFDManic
Happy New Year! What is your New Year's Resolution?
Personally, I have never had one. But, I have seen people go through the whole gamut of them, such as attempting to bid farewell to drinking, smoking, losing weight, and so on. All of the aforementioned are very challenging to endure and undertake! But, if any of you have decided on those, or anything else, for that matter...I wish you all the best in success! As for me, I guess I will just make my resolution to keep helping to "Rockin' The Classics" for another year!
Good Times, Bad Times
A kickass Led Zeppelin song! But, in the grand scheme of things, not always gonna be the best for "certain" Cores on the Mini Classics! The Graphics Libraries are pushing in a direction for quite a few Cores, with which they are simply not easily supported on the Mini Classics. MD/SNES/NES can only handle the 2.0 OpenGL range; PSC 3.0. As a result, certain Cores, such as Flycast/Mupen Xtreme, and so on...are becoming increasingly less compatible for us. In order to "make" them work, things would have to be potentially broken til the point of it being best just using the current posted versions! More on this, as the Release Notes unfold!
Before we get into the good stuff, I will briefly go over a few of the latest TV Shows/Movies I got to partake in:)
TV Shows/Movies, etc!
I used to be a fan of binge watching shows, as far back as even the earliest days of the internet! But, back then, it was much more difficult to be able to do this! I would typically trade with collectors. I would have some rare stuff recorded from VHS, and vice versa! I amassed quite a few things this way, that simply were simply not easily foreseen as any official future Releases! Not to mention, many times, when things do go through official channels...the licensed music "be gone"! I was actually surprised to find Metallica in episodes of Supernatural on Netfli
... keep reading on reddit β‘Those are the subjects I'm going to have (with their syllabuses to give you a better idea on what we're going to have):
#Real and Complex Analysis
> 1. algebra and Ο-algebra of sets. Measurable spaces. Measure, spaces with measure. Borel measure. Complete and regular measures. > 2. External measure. The problem of measure expansion. Caratheodory's condition. Constructions of Lebesgue measure. Characterization of measurable sets in the Lebesgue sense. > 3. Measurable functions. The space of simple functions. Theorem on approximation of measurable function by simple functions. > 4. Lebesgue integral and its properties. Relation of the Lebesgue integral to the Riemann integral. A theorem of convergence. Fatou's lemma. Lebesgue's convergence theorems. > 5. Productive measures. Tonelli's and Fubini's theorems. > 6. Functions with bounded variation. Absolutely continuous functions. Lebesgue's theorem of differentiability almost everywhere. > 7. Geometry and topology of the complex plane, Riemann sphere. Composite functions, continuity, elementary functions. > 8. Differentiation in the complex domain. Rules of differentiation. Cauchy-Riemann equations. Geometric interpretation of the complex derivative. > 9. Analytic functions (regular, holomorphic). Regularity of elementary functions. Conformal representation. > 10. Integration of complex functions. Curvilinear integrals of complex functions. > 11. Cauchy's integral theorem. Existence of a prime function. Cauchy's integral formula. Generalized Cauchy's formula. > 12. Expandability of an analytic function into a power series. Taylor and Laurant series. Zero points of an analytic function. Uniqueness theorem of analytic function. > 13. Cauchy's inequality. Integer functions. Liouville's theorem. Schwarz's lemma. > 14. Singular points. Residuum of a function. Determination of residues. Theorem on residues.
#Calculus of variations
> 1. Review of extremal problems of elementary analysis and basic concepts of functional analysis related to variational calculus. > 2. The simplest problem of variational calculus. Differential of a function. Necessary conditions for the existence of an extremum. Euler's equation. The case of many variables. Variational derivative. Invariability of Euler's equations. > 3. Generalizations of the simplest problem of variational calculus to the case of Banach and Hilbert spaces. > 4. parametric problems. Variational problems in param
... keep reading on reddit β‘I don't want to step on anybody's toes here, but the amount of non-dad jokes here in this subreddit really annoys me. First of all, dad jokes CAN be NSFW, it clearly says so in the sub rules. Secondly, it doesn't automatically make it a dad joke if it's from a conversation between you and your child. Most importantly, the jokes that your CHILDREN tell YOU are not dad jokes. The point of a dad joke is that it's so cheesy only a dad who's trying to be funny would make such a joke. That's it. They are stupid plays on words, lame puns and so on. There has to be a clever pun or wordplay for it to be considered a dad joke.
Again, to all the fellow dads, I apologise if I'm sounding too harsh. But I just needed to get it off my chest.
I've heard and read it repeated over and over again, sometimes by non-scientist media, but also by scientists, in so many words... that we can get the same resolution from two telescopes spread far apart on the earth, equivalent to a telescope with an aperture equal to their separation, using interferometry.
I get the idea of interferometry, the final image wouldn't be subject to individual noise, as each telescope has separate noise, while the real data would be duplicated, and therefore the real data can be made brighter, sharper, and clearer. I totally understand that. But to say it's the same as a telescope the size of their separation? Or is that not meant to be taken literally?
It seems to me that two telescopes, say, on opposite coasts of the US, couldn't possibly be as good as an enormous telescope covering the entire US, could they?? I mean their light gathering capability would be far lower.
Do your worst!
They were cooked in Greece.
I'm surprised it hasn't decade.
For context I'm a Refuse Driver (Garbage man) & today I was on food waste. After I'd tipped I was checking the wagon for any defects when I spotted a lone pea balanced on the lifts.
I said "hey look, an escaPEA"
No one near me but it didn't half make me laugh for a good hour or so!
Edit: I can't believe how much this has blown up. Thank you everyone I've had a blast reading through the replies π
It really does, I swear!
Because she wanted to see the task manager.
Heard they've been doing some shady business.
but then I remembered it was ground this morning.
Edit: Thank you guys for the awards, they're much nicer than the cardboard sleeve I've been using and reassures me that my jokes aren't stale
Edit 2: I have already been made aware that Men In Black 3 has told a version of this joke before. If the joke is not new to you, please enjoy any of the single origin puns in the comments
BamBOO!
Theyβre on standbi
A play on words.
Over the last few weeks, there have been some anomalies which have been bugging all of us.
- We've been trading sideways for a while now within a narrow range
- The borrow rate on such a volatile stock is ridiculously low
- The volume has seemingly dried up
- Yet it does not appear that shorts have covered
- SEC seems to be sitting idle on their hands
- WE see the deep ITM calls and FTDs, so DTC and OCC MUST also see these since their systems are clearing these trades
I think the answer is actually really simple: there is no single Long Whale.
DTC, OCC, and SEC are collectively the Long Whale bending the rules to keep the price stable...for now.
On JAN28, they saw what happened and saw the systemic risk that GME shorts would pose so they allowed RH and Citadel to bend the rules. Otherwise, it would have impacted all DTC and OCC members.
In response, DTC issues SR-DTC-2021-004 and OCC issues SR-OCC-2021-003 and SR-OCC-2021-004 which firewall members from defaulting members and allow orderly liquidation of defaulting members.
Why We're Trading Sideways
In astrophysics, there are points in space known as Lagrange Points which provide orbital stability in multi-body systems.
Contrary to the popular notion that Citadel is using a short ladder to stabilize the price, I believe that DTC and OCC members who are not exposed to GME short positions are working together to stabilize the price within a narrow, neutral range. The reason is not because of "max pain", the reason is to wait for the firewalls (see the link above) to be in place. In other words, all parties are trying to keep GME (and perhaps other shorts) in "monetary Lagrange Points".
Price volatility can easily cause this to launch before DTC and OCC members are ready. They know that retail is largely tapped out (obvious by lack of volume) unless sudden volatility draws in more retail buyers that will move the price faster than they can control.
So who is stabilizing the price? The non-defaulting members of DTC and OCC collectively to protect their assets from defaulting members. Shorts are buying the deep ITM calls or dark pools to carry their FTDs. Non-defaulting members are laddering up and do
... keep reading on reddit β‘
My daughter, Chewbecca, not so much.
Pilot on me!!
The unexplained missing farmers phenomenon
David Paulides' first Missing 411 book is called Eastern United States - Unexplained disappearances of North Americans that have never been solved and it was released in 2011. Eastern United States is a pivotal Missing 411 book because its cases are the very cases that convinced David Paulides - and so many others - the proposed Missing 411 phenomenon is a real phenomenon.
Why farmers
Missing sheepherders, berry-pickers and farmers are the focus points of this book. According to David Paulides "farmers in North America represent a specific group of the missing person phenomenon that needed to be included in this book." (page 26). The reason is these missing farmers "knew their farms like we know our front and backyards, yet they simply vanished. ... They knew the dangers associated with certain areas and certain work, but after all those years and all of that experience, these intelligent people inexplicably vanished." (page 26)
They were abducted
David Paulides says: "It's difficult to imagine what could have gone so horribly wrong that families and neighbours couldn't find the vast majority of these hard-working people." (page 26). Paulides fears his newly discovered Missing 411 phenomenon will create more victims in the future: "I believe that this scenario will continue to replicate itself, and great people will continue to go missing. ... The evidence from these cases indicates one thing: the victims were coerced into leaving their farms or were abducted from their land. No other explanation fits." (page 27).
How can we prevent farmers from going missing in the future? David Paulides' solution is simple: "There needs to be congressional hearings on this matter, and federal agencies need to be held accountable for ensuring that our forests are safe. If our forests are not safe, we need to be told why." (North America and Beyond, page 455).
Is it possible for us to resolve some of these unexplained cases presented on pages 28-33 in Eastern United States? Please note two of the cases below are from the book North America and Beyond (2013).
Riley Amsbaugh (1902)
Riley Amsbaugh (55 years old) went missing in Ohio
The CANAM account
David Paulides describes Amsbaugh as "a man of habit and [he] was expected back at his house for lunch, but he never returned" (page 28). Paulides says witnesses had seen Amsbaugh in his cornfield and at a berry patch *"but few other d
... keep reading on reddit β‘Christopher Walken
Nothing, he was gladiator.
Or would that be too forward thinking?
Dad jokes are supposed to be jokes you can tell a kid and they will understand it and find it funny.
This sub is mostly just NSFW puns now.
If it needs a NSFW tag it's not a dad joke. There should just be a NSFW puns subreddit for that.
Edit* I'm not replying any longer and turning off notifications but to all those that say "no one cares", there sure are a lot of you arguing about it. Maybe I'm wrong but you people don't need to be rude about it. If you really don't care, don't comment.
When I got home, they were still there.
I won't be doing that today!
This morning, my 4 year old daughter.
Daughter: I'm hungry
Me: nerves building, smile widening
Me: Hi hungry, I'm dad.
She had no idea what was going on but I finally did it.
Thank you all for listening.
Where ever you left it π€·ββοΈπ€
There hasn't been a post all year!
[Removed]
Hindus, on the other hand, never had any beef.
https://www.youtube.com/watch?v=VS7BLI4rs_E&t=397s
Release Link is down below these Notes!
RetroArch Updated to 1.9.10 for MD/SNES/NES. Still at 1.8.5 for PSC, for now, due to a few notable bugs! Sorry for the inconvenience!
TL;DR
If you don't want to sit back and read all of these Updated Notes, you can just go to my YouTube Channel, and look back through videos dating back to Sept '21, to see the gist of what made it into this Update, minus "Brutal Doom!"
https://www.youtube.com/c/KMFDManic
Happy New Year! What is your New Year's Resolution?
Personally, I have never had one. But, I have seen people go through the whole gamut of them, such as attempting to bid farewell to drinking, smoking, losing weight, and so on. All of the aforementioned are very challenging to endure and undertake! But, if any of you have decided on those, or anything else, for that matter...I wish you all the best in success! As for me, I guess I will just make my resolution to keep helping to "Rockin' The Classics" for another year!
Good Times, Bad Times
A kickass Led Zeppelin song! But, in the grand scheme of things, not always gonna be the best for "certain" Cores on the Mini Classics! The Graphics Libraries are pushing in a direction for quite a few Cores, with which they are simply not easily supported on the Mini Classics. MD/SNES/NES can only handle the 2.0 OpenGL range; PSC 3.0. As a result, certain Cores, such as Flycast/Mupen Xtreme, and so on...are becoming increasingly less compatible for us. In order to "make" them work, things would have to be potentially broken til the point of it being best just using the current posted versions! More on this, as the Release Notes unfold!
Before we get into the good stuff, I will briefly go over a few of the latest TV Shows/Movies I got to partake in:)
TV Shows/Movies, etc!
I used to be a fan of binge watching shows, as far back as even the earliest days of the internet! But, back then, it was much more difficult to be able to do this! I would typically trade with collectors. I would have some rare stuff recorded from VHS, and vice versa! I amassed quite a few things this way, that simply were simply not easily foreseen as any official future Releases! Not to mention, many times, when things do go through official channels...the licensed music "be gone"! I was actually surprised to find Metallica in episodes of Supernatural on Netfli
... keep reading on reddit β‘Those are the subjects I'm going to have (with their syllabuses to give you a better idea on what we're going to have):
#Real and Complex Analysis
> 1. algebra and Ο-algebra of sets. Measurable spaces. Measure, spaces with measure. Borel measure. Complete and regular measures. > 2. External measure. The problem of measure expansion. Caratheodory's condition. Constructions of Lebesgue measure. Characterization of measurable sets in the Lebesgue sense. > 3. Measurable functions. The space of simple functions. Theorem on approximation of measurable function by simple functions. > 4. Lebesgue integral and its properties. Relation of the Lebesgue integral to the Riemann integral. A theorem of convergence. Fatou's lemma. Lebesgue's convergence theorems. > 5. Productive measures. Tonelli's and Fubini's theorems. > 6. Functions with bounded variation. Absolutely continuous functions. Lebesgue's theorem of differentiability almost everywhere. > 7. Geometry and topology of the complex plane, Riemann sphere. Composite functions, continuity, elementary functions. > 8. Differentiation in the complex domain. Rules of differentiation. Cauchy-Riemann equations. Geometric interpretation of the complex derivative. > 9. Analytic functions (regular, holomorphic). Regularity of elementary functions. Conformal representation. > 10. Integration of complex functions. Curvilinear integrals of complex functions. > 11. Cauchy's integral theorem. Existence of a prime function. Cauchy's integral formula. Generalized Cauchy's formula. > 12. Expandability of an analytic function into a power series. Taylor and Laurant series. Zero points of an analytic function. Uniqueness theorem of analytic function. > 13. Cauchy's inequality. Integer functions. Liouville's theorem. Schwarz's lemma. > 14. Singular points. Residuum of a function. Determination of residues. Theorem on residues.
#Calculus of variations
> 1. Review of extremal problems of elementary analysis and basic concepts of functional analysis related to variational calculus. > 2. The simplest problem of variational calculus. Differential of a function. Necessary conditions for the existence of an extremum. Euler's equation. The case of many variables. Variational derivative. Invariability of Euler's equations. > 3. Generalizations of the simplest problem of variational calculus to the case of Banach and Hilbert spaces. > 4. parametric problems. Variational problems in param
... keep reading on reddit β‘https://www.youtube.com/watch?v=VS7BLI4rs_E&t=397s
Release Link is down below these Notes!
RetroArch Updated to 1.9.10 for MD/SNES/NES. Still at 1.8.5 for PSC, for now, due to a few notable bugs! Sorry for the inconvenience!
TL;DR
If you don't want to sit back and read all of these Updated Notes, you can just go to my YouTube Channel, and look back through videos dating back to Sept '21, to see the gist of what made it into this Update, minus "Brutal Doom!"
https://www.youtube.com/c/KMFDManic
Happy New Year! What is your New Year's Resolution?
Personally, I have never had one. But, I have seen people go through the whole gamut of them, such as attempting to bid farewell to drinking, smoking, losing weight, and so on. All of the aforementioned are very challenging to endure and undertake! But, if any of you have decided on those, or anything else, for that matter...I wish you all the best in success! As for me, I guess I will just make my resolution to keep helping to "Rockin' The Classics" for another year!
Good Times, Bad Times
A kickass Led Zeppelin song! But, in the grand scheme of things, not always gonna be the best for "certain" Cores on the Mini Classics! The Graphics Libraries are pushing in a direction for quite a few Cores, with which they are simply not easily supported on the Mini Classics. MD/SNES/NES can only handle the 2.0 OpenGL range; PSC 3.0. As a result, certain Cores, such as Flycast/Mupen Xtreme, and so on...are becoming increasingly less compatible for us. In order to "make" them work, things would have to be potentially broken til the point of it being best just using the current posted versions! More on this, as the Release Notes unfold!
Before we get into the good stuff, I will briefly go over a few of the latest TV Shows/Movies I got to partake in:)
TV Shows/Movies, etc!
I used to be a fan of binge watching shows, as far back as even the earliest days of the internet! But, back then, it was much more difficult to be able to do this! I would typically trade with collectors. I would have some rare stuff recorded from VHS, and vice versa! I amassed quite a few things this way, that simply were simply not easily foreseen as any official future Releases! Not to mention, many times, when things do go through official channels...the licensed music "be gone"! I was actually surprised to find Metallica in episodes of Supernatural on Netfli
... keep reading on reddit β‘What did 0 say to 8 ?
" Nice Belt "
So What did 3 say to 8 ?
" Hey, you two stop making out "
