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Clear[x, y, g, pnp] pnp = 2211282552952966643528108525502623092761208950247001539441374831\ 912882294140\ 2001986512729726569746599085900330031400051170742204560859276357953\ 757185954\ 2988389587092292384910067030341246205457845664136645406842143612930\ 176940208\ 46391065875914794251435144458199; x = 1.13056560621865239372901234269585839625544`15.653559774527023*^100 y = (((pnp^2/x) + x^2)/pnp) g = x*y N[y] Out[75]= 1.130565606218652*10^100 Out[76]= 1.955908211597676*10^159 Out[77]= 2.211282552952967*10^259 Out[78]= 1.95591*10^159 This is my estimate of RSA-206. Not yet factored. Crunch away! Trying to quit number crushing. Just wanted to see if this is significant.

KJW, I think that is a fair and accurate description. All sources are helpful. I will be reading a book to learn how to read research papers while looking up unknown facts on Wikipedia. I will try to improve my game reading research papers. I thought that in graduate school you did original research and defended it in order to submit to publication. If you could submit a paper to a publication and it gets accepted could you skip the graduate studies?

Well my Dr. Doom Reed Richards was just to show even though Reed Richards means well his policies could actually lead to disaster. Richards might have good ideas but it depends on how his and other countries react to his plans. Dr. Doom has a bad reputation but his ideas also promise strength. He may make policies that offend other countries but they will respect him. Which is the correct way? That is subjective to the voter. But elections don’t work scientifically. As you guys have experienced. I once watched a lecture series on where to put a hospital. They voted and the hospital was put in a place far from every city that voted. How can an event that boundaries are drawn by the legislature and views are influenced by news and ads be fair? Think of a basketball game. The courts are stadard size. What if the NBA added 50ft to each side of the court? The game would change and current stats would not compare to the old smaller court. Why would you think your candidate should be picked when voting is largely decided by perception? Harris could have been the better choice, but the system has no way of proving it.

I mean it is like me when I wanted to get back into shape. I watched a total of 8 exercise videos and didn't lose a pound. Well you are right, I have no lab experience other than undergraduate. The nearest lab to me would probably one of the universities. But my entire reason to read research papers is to get data and ideas that is otherwise not available to me. The internet makes it more accessible and there are many ideas on Wolfram.com. And it is the reason I am replying to a message board. I just quit a previous math problem. And I wanted to work with series which are simple to see, but a challenge to describe. I wanted to read medical journals, because I know nothing of math research in biology. I was thinking about taking some course in computational science, because that is what I was doing as a hobby. Yes, when I was in trig we started with the Unit Circle. As I recall, he said they did not use the Unit Circle in their studies. I don't know why it wasn't included in his high school curriculum. BTW I did order the book. $6 used on Amazon. I like the fact that it talks about medical research also. I probably can't follow most medical journal papers, but looking for patterns in data can be done by anyone. In my previous (hobby) project I made a lot of abstract ideas which could be good or bad. But I think that an introduction to biology would force me to work with more application based data.

Is this publisher controlling the format the mathematical equivalent of when Stephen King writes a book and the editors reformat it? Stephen King doesn’t even have creative freedom when it comes to formatting. But your paper does fit a problem. CAD was difficult to find orientation of drawing angles. We see the views in 3d today but use to have to rotate the 3d angle manually. As a side note when was the Unit Circle introduced to trigonometry? My high school teacher said that he didn’t have the Unit Circle instead they used the triangle definition. He would have been in high school in the mid 1960’s.

Nice paper studiot. I had to read through it a couple of times but I think that is just me. In your flow chart why did you not loop from the end (use theta = 360 - wcb) back to the start (wcb > 90)? It takes a little bit of work but for the most part I follow. Definitely a learned talent. I believe I am decent at math with a modest education, but when I try to explain it no one knows what the heck I’m talking about. After Christmas I’m going to get the how to read research paper book you recommend. It is not called how to write research papers because no one can explain how to do that. You have to study examples.

I stand corrected. I always thought publishing it to promote the idea. For math I’m not an expert or authority but I know more math than the average person. But what is the purpose of righting a paper only experts understand? I understand writing formally and documenting your work, but it seems counterintuitive. Especially now that print media is struggling. The only reasons I can think of is because it is a trustworthy source and it supports a community even though the community is small because nobody else understands what they are saying😝 I talked about AI because Sensei talked about people relying on it to research. But if the operating system is going to record every screen this will change how we format and share data. Again by experts for experts. I wouldn’t understand. But this would create a niche writing books to explain to everyone else what the heck they are talking about.😉 I would read your papers. I will plug the question into the prompt. AI isn’t good at math yet. Scientific discussion is a good thing that AI can’t do. But AI will soon be feed all our information. The only advantage we will have is that we still control how the information is used. But I am biased against AI. It seems like they are ripping us off and a select few are selling it for billions. But any time you share your idea it can be used anyway the reader wants. But if don’t share it is no fun.

Well I have no experience in publishing papers. I was interested in this thread to learn the trade. I have used APA format and basic labs. My point is that the way papers are written today most of them are only written for such a small audience. If it takes me a week of studying and research to gain an understanding that is why people put it in AI and read a paragraph summary. If this happens in my belief this is going to wreck the whole system. I know what you guys are saying: a paper refines the information. But I am saying link to support information. If you worked it out on the computer it is probably organized to some extent. Microsoft was working on a timeline that will screenshot every thing you ever did on the computer. This system does what I am describing. I don’t like that AI will probably organize and train on it. Off topic would it be beneficial for AI to train on failed data and experiments as well as what we put into proper format? Personally I believe AI is going to fudge up the whole research process. Sure it can do genetics and protein folding, but it does fit your point that we are there to refine the data and can’t read everything. But in my point I didn’t want AI to take our jobs. I wanted to read the paper and see where the writer failed in there experiment failed because sometimes that is important if you have been working on something similar.

Yes. That’s the one. This is the same book I recommend in a thread of Riemann theorem. Same book that one mathematician passes away and the maid burns all his papers. As for Einstein, Walter Isaacson writes about the science fiction book that influenced the General Theory of Relativity. I think Steven Levy wrote about Einstein’s brain. And another book that talked about network intelligence and how it applied to large data sets like telescopes pictures. It takes sharing the data (all data) among many minds. Like bioinformatics and protein folding. Unfortunately AI is threatening to take this over, but that is another topic.

Well I was just trying to stress the importance of notes. When I was in high school we turned them in to prove our work and prevent plagiarism. But that wasn’t my point. I was just showing that if the research paper was written as a journal (like a Wikipedia page the writer of the paper could include all data sets and math derivations. You could still have a main paper but link to the parts of the notebook, but the reader could browse the notebook and pull up the research the reader was interested in. This isn’t my idea. Research papers still have their place. But I think this is how the Internet was supposed to work. It has historical purposes too. What if you wondered how Einstein thought of the observer outside the train and you wondered how Einstein originated the idea. You look at the scanned notes and Einstein writes, “Today I was reading a good science fiction book. It had a guy riding a beam of light.” In college we learn to create a journal and keep pictures, drawings. math problem, experiments, and data. I’m not saying not to write a research papers. Instead I am saying to include the entire project’s work. And write the paper for a larger audience. With the storage of today’s computers this is not an issue. And historically we’d know what made these good discoveries. There once was a mathematician who passed away and his maid thought his desk was too cluttered and burned all his math papers and notes. Einstein just passed away, let’s erase his chalkboard. And maybe steal his brain. I understand the tradition research paper is important to share developments and promote science. I just think we should augment it with as much information we can.

I was joking. There is a math paper where the mathematician proved a problem then included another problem that he claimed to prove with ease but no one saw it and this proof is still unsolved. i will have to look up his name and conjecture. But if someone remembers his name post it here. It is very famous.

I agree with your reasoning but what if someone writes a math proof then writes in the margin how easy the complete proof is? Like high school papers when they make you include your notes to prove you did the work. Your notes may seem unnecessary but include them in a hyperlink so you can still refer to them. Imagine if you discovered something big in 100 years your original notes would be gold. To me it is like when comic books first started: they printed the comic book and trashed the original art. I understand published research is important. But it seems you have to be indoctrinated to the system in grad school. Any good suggestions on what would be a good article to read?

I find academic papers hard to read. I know they are structured for a reason, but why is a Wikipedia paper way easier to understand. What if we turned in our papers in Wikipedia format. Need to get background information click the picture to bring up a supporting article. IMHO the idea behind the paper is the most important part. Explaining it clearly is the second. I may be simple in preferring Wikipedia but are you saying that I am missing out on current research because I don’t understand journal entries? But what if you had an abstract and submitted an entire science notebook? With a program such as Mathematica you could link notes and ideas and maybe still have a research paper as a roadmap and the process of your research would be complete. You would be less concerned in what you did or did not include in the final paper and more concerned on the overall presentation of the cumulating of notes, brainstorms, equations, trail and errors, etc.

Yes, I am aware. But I did also mention Reed Richard’s as dem and Victor von Doom as rep. Both of whom are still alive. Doom is dictator of his own country. You could argue this disqualifies him as President. But because he got more votes elections work based on math and science. I know you would argue for President Richard’s. He is just as smart and seems to be more professional. If he is corrupted then he is hiding it. But I would argue that even though he believes in his policies they may not be what the U.S. needs. This is the same guy that stole a rocket ship to beat the Soviets into space. He lost the election because people didn’t believe his policies were possible. And some of his policies were in conflict with other countries. Doom was blunt. Build up the country that voted for him. Strong military less wars. Reed is equally brilliant but he couldn’t convince the voters that solving the World’s problems is worth not being able to afford a house. WOZ invents the circuits but Jobs is the vision. Jobs leads like a tyrant but he gets things done. WOZ is friendly and benevolent. Can he lead better than Jobs?

Well Steve Jobs has vision but his method to obtain his vision has many faults. WOZ would be a Vice President who also has vision but accomplished it a kinder way. But as I heard on the autobiography that WOZ wondered if Apple could have been operated in a different way. Do you have to be a tyrant to win? WOZ’s leadership has vision but is he tough enough to implement it in a big world? WOZ on the D ticket would implement a government funded iPad Pro for ever public school grade school student and a Mac book pro for high school. Jobs would counter doing the same but would own all data collected and produced on the children’s computer. Both plans would bring down the deficit because the money spent to supply the computers would be paid for by the rewards. Jobs is a hippie but when it comes to business he believes in his vision. He can be tough. Jobs would build the brand while WOZ would create a loyal community. Well I’d have to research WOZ more to see his policies. But come to think about it I’ve never seen him involved in politics. Jobs has a plan or parts of a plan to replace the computers the Dems gave you with something better. Add some of WOZ’s policies for yourself.

I was considering taking a bioinformatics class at a local university. It would be at the undergraduate level. I have all the statistics, 2 years calculus, and linear algebra, but I lack knowledge of genetics. The course summary has low level biology classes, but to fully understand what the math represents I know a class in genetics is essential. I have no background in biology: the labs. I have read in Make magazine of building a home-brew bio lab. These are miniature labs that use existing technology that is available relatively inexpensive. Do you think it is worthwhile to build a bio-lab? I want to expand my knowledge of amateur radio and electronics. Electronics is also rather ready available and cheap. But I think building an amateur bio-lab and electronics both is too time intensive and I’d learn both but never master either. I also found a computational mathematics course online. It is a computer science concentration. I figure that is what I do now for fun: crunching numbers. I want to transition or just quit trying to factor semiPrimes. I have read much cryptography, but I thought the computational mathematics would cover AI. But you need to look at my latest math post after reading my latest status update. There is a link in the Status Update to a secure link to the Mathematica Notebooks. There is nothing to download you can see them in any web browser. PNP the N of the equation, is the unsolved RSA-260 number, so it will be fun to check it for yourself.

I am not happy with billionaires controlling everything either. Who would you elect: Republican Steve Jobs or Democrat WOZ? Which one would have the better vision? Who could make the World a better place? I know this is off topic. And it might not be directly comparable to Trump and Harris. But it may show why the election went the way it did. It does relate in several ways. Especially if it would be Trump vs. Bernie Sanders. Or maybe even Biden. Some may say it’s Victor von Doom vs. Reed Richard’s.

IMHO, I think Musk is here to stay. Trump and Musk need each other. It is business over friendship. I listen to This Week in Tech and Elon’s Satellites and rocket 🚀 payloads are critical for defense. On TWIT they are critical of Elon. But all things considered, he gets things done. I think both Trump and Elon share the same billionaire personality traits and like personalities tend to fight. But this is business.

I mean that of both Trump and Harris. The Primary decides in 3 days. Nicky Halley was a UN ambassador and most qualified. I don’t care if you voted for Harris. I don’t care if you voted for Trump. I have tried to only discuss the issues without insults. It is politics no one is right. Of course everyone thinks they are right it’s their own thoughts. At the gym there is almost fist fights when someone brings up the President race. At church each person thinks the other candidate means the apocalypse. Friends of mine might not have voted because of the candidates. Remember I never said who I voted for or if I voted. I never said I was white or middle class. Those demographics only matter to the evening news. People or different races and different gender gave the thumbs up when ask if they were voting for Harris then voted for Trump. I will start to be less political on the message boards. I sill would like to discuss the bitcoin and U.S. currency though. I am more concerned with the simple yet interesting post. Read my last status update where I approximate the unknown SemiPrime factors. So far Bitcoin’s main use is crime. And hiding money transfers. If there was a way to defeat the digital signatures it would be transparent.

Well she wasn’t chosen Biden had medical problems. Problems that appear to be most of his term. But the things you don’t like in Trump are the same as Harris. I saw a video of Harris where she boasted she could ruin someone’s life with the swipe of a pen. In this video she says that she wouldn’t even have to go to trail, she’d bankrupt them. Same stuff, different person, presented better on evening news.

Well I don’t approve everything Trump does but everyone voted for him. I don’t like the cabinet picks. They seem deliberate dismantling of those offices. But I believe we must hold both sides accountable. Like Biden giving long range misses to Ukraine. I understand why a lot of people don’t like Trump particularly his personality and the dangers of changing a system that works pretty well. The elephant in the room is the majority of those who worked for him are now his enemies. Harris had major faults too. They tell you to vote it’s your right. But we don’t get to choose the people we are to vote for.

Same as a prediction the other way 😝 We didn’t know we needed a wall until Trump built it. Then we see hundreds of people going around the wall😜 Mexico was going to pay for it. At least we got Mexico to hold some of the open border flow. There you go: 2 promises kept.

The Art of the Deal Trump says he is all about making deals. He withdrew from the Iranian nuclear deal because he thought it wasn’t working. I don’t know the link but he also had a deal in the Middle East making peace deals and leveraging those peaceful countries against Iran. So Trump is smarter than the CBS news portrays him. I don’t think he’d make a trade deal that would earn less money than the current trading deals. Even to boast manufacturing in America. We’d be stronger with unemployment but overall collapsing a larger market.

y = (((pnp^2/ x ) + x^2) / pnp) pnp = x * y (((((pnp^2 / x) + x^2)) / x) / pnp) where y = 0 If all of these are true in the factors we wish to find, x and y, is there a limit; a range; that could be computed that said if x is this big then y is that big? It wouldn’t be a differential equation that solves a spring. But how do I find and x that is true by testing if y is also true in these 4 constraints? It is a simple idea, but what is the math that completes it? I know that where y on the graph equals zero x has the value approximate to the smaller factor. I have an equation that will tell me y factor knowing x. If you move x larger y gets smaller. Move x smaller y gets larger. There is only a certain range that will prove this true. Combine that with all the other constraints you have and equation that solves a polynomial.

Are there any good things? Like Elon Musk and Trump getting us to Mars before it revolves too far away. We will have to see the tariff thing play out. Trump is not going to cripple the economy with a trade war. He is smart even if popular media makes him out to be an idiot. I read it to mean he just wants a better trade deal. Elon Musk is smart too. Although the news clips I see of him he is always acting as an idiot. Did he make the right choice and buy Twitter and back Trump? Absolutely. I think he is all-in with space exploration.