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@studiot Thanks for the reply. The problem I am facing is that I can find the value of the limit knowing x, but I want to find x as the limit approaches zero. I know the equation of the function should be able to be set to zero, but on a curve I can’t get it to work. I was trying to create enough information with the derivative to “make it work.” I have seen others “program” this with trial and error, but is there a known method? This is a reoccurring problem for me. Others can inspect the graphs better than I can and I made the graph. It does apply to Simple Yet Interesting. But I have moved past that problem. But the challenge of knowing x at a given limit still exists. I don’t know what the solution is. But I truly believe the answer unleashes some dynamic way to approach graphs.

This is disorganized. But I thought it had potential. Can you take the slope of a point and the start of the graph and the slope at the end of the graph and combine it with an approach similar to Newton's Method, to determine where a given value occurs? I know it sounds stupid, but I am serious. I haven't had a calculus course in 20 years. But if you look at the picture (which is also messy), it just might give you some ideas. The problem starts out to find a limit. On a graph the limit of the relative minimum is the desired value. Limit notation finds a limit 0 (zero) when x equals a known value. But it would be more useful to find the value of x when the limit equals zero. So instead of finding the limit at a given value, the goal is to find the value at a given limit. Is there a method for this? The only methods I know is to test the values until the desired point is revealed. Newton's Method may prove helpful. However test values are still need. The question is how do you find x when the y value is known, where y is the limit (zero in this case). This idea is in early stages. It is just a concept. But my question is as you look at the picture can you create useful geometry that combined with the integral and derivative can be used to map a graph? I know this is messy, but when you read it, it just might give you some good ideas.

So in your review of Dragon’s Egg did it have both story and facts? I was looking at the plot summary and it seems pretty complex and wild in a good way. He is a good writer if he can tie all those elements together. On Rocheworld would the double planet have cancelling gravity so travel between the planets is possible? The Walter Isaacson biography of Einstein says Einstein described “riding a beam light” because he read a similar story in a science fiction book. So science fiction and science influenced each other, no doubt. Swanson is for the story. I agree. We have to create an interest in the project or no will read it. I was just saying take a science fiction and create a project that has real science behind it. The idea is not original. Popular Mechanics did it with projects similar to the space elevator. For a while I thought they were just reading journal entries and summarizing them. But putting facts and creating original art is difficult. It’s like how every science fiction/fantasy book has to have a great cover.

Well I believe that Popular Mechanics and Popular Science are no longer published. Lots of quality content lost. But I share it because like a short science fiction story it leads for problems in real science. If you create a story, you have just created a lesson plan. If you told a student to try and develop a solution or find the math behind the story, they couldn’t just plug it into ai. Sure they could, but it would just be the start of more research. It is also an economic way to learn because all the tools are readily available. Some times starting to get an idea worth pursuing is difficult. Someone reads your short story or article in a magazine and it gives them ideas otherwise lost.

Well if you launch a rocket from a plane there are several advantages. You can launch it anywhere in the world and you don’t have to worry about the launch site being bombed. But I admit my science wasn’t very good. I’m just trying to brainstorm new ideas. Stuff that ai doesn’t ruin. I post a picture of a space elevator. Now I don’t think anchoring the elevator to an asteroid is going to work, but there is a valid problem that needs solved and that is to build a 20,000 mile structure that doesn’t collapse. I believe that impossible problems make excellent learn examples. If you gave a student a problem to make structures out of the atmosphere it may seem like kaka but it is a problem that ai would have trouble solving and if the student did use it, that would only be a starting point.

I just want to chime in and say that I hope the Big Beautiful Bill passes. Why? The bill will get worse with more cuts. Any change makes it even worse.

I chose to increase the atmosphere because humans can’t live in the vacuum. Traveling in the vacuum would increase speed but humans can’t withstand it. But I suppose if you could alter the atmosphere you could build a ship that had an atmosphere. But altering Earth’s atmosphere has advantages like stopping climate change. Also would it be possible to increase the layers of the atmosphere to give a plane more lift? I remember that Popular Mechanics always predicted a plane could take off and fly then reach an altitude and escape into space.I don’t know if the project ever worked. I agree. I don’t know enough about the atmosphere to avoid plot holes. But what if it was not written as traditional science fiction but a lesson plan to research things like the velocity a plane would need to escape the atmosphere? I am not an expert story teller. Sometimes a good story teller is all you need. But something like this the science has to be real. I’ve heard the transporter was invented because it was the only way to get to the planet and have it flow in the show. It basically breaks down the molecules of your body and sends them through space. I don’t know how it reassembles them or how this affects living organisms.

Thanks for the reply. I do need to research further. I can’t remember who said it but the question to ask a physicist is, “Could God have built the universe in a different way?” That is a problem: more atmospheric pressure. I choose to extend the atmosphere because the building blocks already exist. If we could control gravity it would make it easier to work. Obviously we don’t have the technology, but what if you build “atmospheric bridges” in the sky? You could put a structure of invisible gases and anchor them the surface in order to reduce atmospheric pressure. And before you answer remember it just hypothetical.

I don’t believe the world is flat, but what is the evidence for the theory that it is a sphere? Is it approximately a sphere? And why would the planets form as a sphere in the first place? Would you say intelligent design or gravity is circular? Why can’t it be a cube with an irregular 3d surface that approximates a sphere? I’m quite serious. Why are we not looking for planets in different shapes? And why are black holes logarithmic spirals? I want to write a sci-fi story where instead of using ships to explore space we instead grow the Earths atmosphere. I mean we make space livable by growing the Earth’s protective atmosphere layers. No need for oxygen you already have it. Gravity and the fact you have to travel in an airplane just might be some drawbacks. I have some ideas, but the story telling part is where it takes literarily talent. Any plot ideas?

I agree, it is ongoing. Why wouldn’t life at the moment matter? I was reading “Maverick Scientist” and there is this debate there. It says, “to be a scientist you just have to do science.” A math problem is a math problem no matter what you believe. I just think anything people are different (physically or beliefs can be manipulated to control you. I don’t have the source but it said young children would play in kindergarten no matter what race. But as they got older something (the study didn’t know why) changed. I don’t mean to bring up race. But we are believing migrants are costing us money and they don’t have the rights of citizens. I am just using the most current example. Maybe you heard this somewhere. There are biases on everyone, but science and religion aren’t against each other. It is person against person.

In Trump’s first term he improved relations between the Middle East. He made deals with all the countries surrounding Iran. Isn’t the tariffs just an extension of the prisoner’s dilemma? Apply tariffs while the U.S. economy is strong and tarrif every country. Those countries could work to together and retaliate, but with every country that makes a deal the U.S.gets more bargaining power. Still think Trump is dumb? Every time a country makes a deal the stock markets will do better. However I am disappointed that DOGE is dismantling government programs because this money could have went to fund them. I don’t know if the tariffs will work. But the money would probably go into the military instead of academics and healthcare. But as it relates to conserving resources. We probably only need an eighth of the stuff we buy. What if Trump is right; a Barbie cost $60 so you have 2 instead of 20. But you just balanced the market for all toy makers. Of all countries.

Well in response to capitalism do you guys agree it is the best system? It doesn’t mean it’s fair. Some people will always have advantages. But at least the average guy has a chance. I know this comes from fiction but some writer but it in the Star Trek books to reflect the same problems of capitalism. That is that Captain Kirk could not understand how poverty was eliminated in captain Picard’s time. Kirk couldn’t understand how the resources to build the enterprise with no payments existed. How would you motivate and control a country without capitalism? And still have freedom? But I don’t think Elon and Trump are now motivated by money. I don’t know what Trumps goal is. Why is he changing a working economy? It’s not to conserve resources. I think Elon like Trump actually think they are saving America. Have a drop in population go father 14 kids. I know CharonY didn’t think that Trump wasn’t smart enough to ruin other countries economies by weaponizing trade. I believe Warren Buffet commented on this a few days ago. But both Elon and Trump are extremely smart. I know Trump looks like an idiot on the news. He is a genius. He has been manipulating people and money to get what he wants his entire life. The problem is he can now manipulate the world’s economy.

Back to the minimalist; Trump said kid will have 2 dolls instead of 30. It is my hypothesis that conservation is not his goal but the goal is to weaken other countries economies. Could China support itself by trading every where but the U.S.? America is not made stronger by making more products than other countries. The only reason I can think of for major changes in the economy would be if it were going to fail. I mean if mass consumption of products was going to fail.

Why are we studying it if we can’t fix it? Why would we ask the President questions if we are just going to say things are wrong but oh well science can’t fix politics? Is a scientist supposed to discover a drug then drug companies price it too high. So the scientist says not my fault, scientists make drugs not sell them. This is bad. I think after Trump’s presidency there will be limits on how federal funding is controlled. The science of economics to repair the country.

Well I think a post by MigL stated that the forum has become too political. We should do science. The problem is the politics is effecting everyone and I don’t think science can fix it. If you could stop s Trump with science it would be an act of treason. Wired magazine released the names of DOGE members and were threatened. Science is for problems not political problems. Cure a disease fixed problem…still infinite problems to solve. The Great Courses has a class on verbal judo. I briefly read a description where it said that in intense situations logical arguments don’t work. So when you are in a meeting with Trump, saying tariffs will complicate a working world economy, will not make him admit that too much change to a working system is a bad idea. Does anyone think that science can fix politics?

What was last Thursday? I can’t keep track of these things. and… Mr. President: When did the Department of Education become a collection agency and not exist to give grants and loans? (Now instead of loan forgiveness the new policy is to enforce loan repayments.)

Dear Mr. President, I see you figured out cutting funding is more powerful than legislative and laws. Why did the tariff formulas derived by a 7th grader? How do tariffs make tax revenue while the U.S. citizens pay the tariff? Why can’t any who is in the United States lead peaceful protests? You hold the power of one of the most powerful economies, why did you manipulate it to increase your own power?

Thanks CharonY for the above and beyond explanation 👍

So you are saying pain does not result from the body fighting viruses or its own immune system? In school the Ms society told us ms was painless. But I have been told by a person that had ms there is random pain. They said it feels like you are being electrocuted. I don’t know the credibility of “a person who gets shingles does not get ms.” You say it increases the chances. But I post this here because that is what interests me about shingles and other neurological diseases. But maybe instead of calling shingles a cure to ms, maybe those that have recovered from shingles means they can recover from the virus that causes ms. Again I haven’t been able to find such a study. The person who told me probably was told by a specialist in neurology. But a misunderstanding is possible.

I hypothesize that since shingles attacks the nerves the sores and pain is the nerves defense reaction. People with multiple sclerosis have described themselves as “being electrically shocked.” I don’t know if the “shocked pain” happens in other nerve illnesses, but as this study shows there is a relationship between 2 nerve disorders in that a shingles shot prevents both shingles and dementia. But the claim I’ve only heard about is that people who get shingles don’t get ms.

What if there were benefits to getting shingles. I knew someone who had multiple sclerosis and somewhere they read of a study that said people who have had shingles don’t get ms. I cannot find such a study, but this would have been 35+ years ago. But you mention the immune system and inflammation. That is what ms is the immune system attacking the nerves of the spine. Maybe shingles is the nerves defending themselves?

This is how I used to picture Elon Musk: https://www.facebook.com/share/v/1GfpzQhEsY/?mibextid=wwXIfr

Don’t mind me I have just read too much Bruce Schenier books. I am not claiming the survey is biased, but is the reason to collect it just to see how educated people would vote or is just to see how those people answer to influence them. By the way I am uneducated in nuclear physics. But you posted this in politics. Is the decision for scientific answers or data. That is using scientific facts to aid in a decision or do you wish to see what is the most important facts to a scientist? I’m beginning to hate politics. But would you say that someone with all the data you collected could use it to manipulate the scientific opinion in their favor? Trump could say that it is clean and abundant. We need to build 20. Biden could say the mining is destruct full and nuclear waste is an issue. So we take all the scientific data and use what parts that fit our purposes. I’m not saying the survey is biased. Scientists would probably give you the reasons we should or shouldn’t. I’m just pointing out the fact that often time scientists’ facts are misused.

Well the part about Musk looking to buy Russian rockets and then deciding to build his own is from the Walter Isaacson biography. Im just saying that Musk gets things done in the private sector but is not good in government. The goal isn’t always what saves money. But Musk isn’t always in it for money. That is not me saying that. He invested the PayPal money into other businesses. I don’t know what motivates him. I don’t know why he wants to dismantle existing government agencies. As for your theory of planning a recession, maybe. I’m not sure about the martial law. The news isn’t worth watching. I’m now critical of Trump and Elon. They know the middle class is concerned with good jobs and being able to afford a home. They didn’t explain how a world wide recession improves the economy. I say world wide because the global economy will be effected imho.

Well we think Elon is a jerk because of how he treats laborers. Random firing may work by creating competition in his business. But government has a social side. I am impressed by SpaceX. Elon was going to buy a Russian rocket until they kept screwing with him and jacked up the price. It was bold to start a company that made rockets. Elon the scientist I respect. I expect him to have a few quarks. He is arrogant and demanding but that is to be expected. The problem is that he shouldn’t be in our government. Firing hard works and breaking services and protections of already established government programs isn’t cutting waste. I don’t like it. My instructor once told me about a NASA engineer who was laid off. He couldn’t find work because he was over qualified. So he worked as a janitor mopping floors. He was brilliant and that is the best job he could get.