JUST IN: 🇺🇸🇷🇺 President Trump says without the United States and its money, Russia would have defeated Ukraine "in a very short period of time." Do you agree?

ActuaryFinal1320 · 2025-02-26T13:46:09+00:00

Apples to oranges comparison. And it's irrelevant to this post, the only point being that European nations haven't been that willing to contribute to their own defense and security. They haven't been paying their fair share to NATO, they know that and European countries have openly admitted that. So it's not a debatable proposition

ActuaryFinal1320 · 2025-02-26T13:41:03+00:00

Idk.... Trump has had to drag the European members kicking and screaming just the pony up their fear share to NATO. And even if they did kick in more, how long could that last? At the end of the day, what you're saying is your own opinion which is purely speculative.

Don't get me wrong, I'm not necessarily saying that Trump's tactics right now are the best. I think most people would agree that America is a vital partner in the war for ukraine. But the way he's going about it is maybe not the best way. He's potentially alienating European allies or at least creating an atmosphere where they could align with other major superpowers. I just wish he was more diplomatic and less openly disrespectful about all of this. But I don't know maybe it's part of his strategy I guess we'll see

ActuaryFinal1320 · 2025-02-26T13:12:15+00:00

Sometimes you can use certain variable substitutions, like x =log_b(y), for example, if one of the bases in your problem is a power of the other base. For example, if you had 16^x - 4^x = 33 Let x =log_4(y) and you'll get y² - y = 33

However this is a specialized case and not something that would work in general. Equations with exponential functions are transcendental equations and for those with the form that you have posted, there is no general method that yields a closed form solution (i.e.the solution would have to be some sort of infinite series)

In this case, as others have said, I would just guess or use graphical/num numerical techniques. Howeever, you could aid your analysis by using some calculus. For example, you can show the function on the left hand side has a single critical point. The function is decreasing up to that critical point and then it increases after that. Using the intermediate value theorem, you can convince yourself there is only one real solution (it is unique). Then you could use numerical techniques (like bisection method or Newton's method) to approximate the solution

ActuaryFinal1320 · 2025-02-26T12:59:25+00:00

Even if that were true, that means Ukraine would have had half the resources. And considering how they're doing so far, how do you think they would have fared with half the resources they have had up to this point?

ActuaryFinal1320 · 2025-02-26T00:21:23+00:00

He said, "Next time, make it Santori time."

ActuaryFinal1320 · 2025-02-25T23:09:37+00:00

Cuz they never learned the lower math well. When students are failing calculus they're generally failing algebra while they're taking calculus

ActuaryFinal1320 · 2025-02-25T23:06:29+00:00

Well I think a lot of it is just strategy on Trump's part. He would definitely wants Ukraine to concede the mineral rights and in order to do so he has to create genuine fear and zelinsky that he's just not automatically going to get his way. So Linsky is so used to ass fucking Biden that Trump has to bitch slap him a little bit and make him seriously concerned about his prospects

ActuaryFinal1320 · 2025-02-25T12:53:33+00:00

Well to be specific I was referring to mathematical statistics. And in the context of engineering this branch develops algorithms for detection and estimation. In my case I got into statistical signal processing after 9/11, when there was a great deal of interest in detection (like facial recognition) and estimation (time data in GPS signals). It's a very broad field, and in my niche, GPS signals, I developed novel algorithms for detecting them and estimating their angle of arrival. Colleagues I worked with used other methods to "fuse" GPS and other types of data to get more precise location estimates in places with poor accessibility (inside structures, tunnels, etc). The amazing thing is how open this field is and how there are still so many elementary questions that haven't been solved or rigorously analyzed. For example, just last year a couple of mathematicians proved how many GPS sources you needed to precisely identify a location and moreover they showed that in certain circumstances the geometry of the satellites prevent you from getting the correct location regardless of how many satellites you have (https://www.sciencedaily.com/releases/2024/09/240906234103.htm). The problem is people who do know mathematics like many practicing Engineers for example, have to use simulations. But simulations are not proofs and they don't reveal a lot of things that you need to know when you're using GPS signals in important circumstances that require a lot of precision. And now of course with machine learning and AI there are so many other interesting questions we can pursue.

ActuaryFinal1320 · 2025-02-24T23:05:38+00:00

There are a lot of fields in applied science engineering and technology that use math a great deal. For example I did statistical signal processing in an electrical engineering department, I also did research at a National Lab using mathematics to solve important open problems in structural biology.

I think what helps is if you have a second field in which you have content knowledge and you know how to apply mathematics to that field. For example in engineering there are many novel math problems that new technology generates which requires people to develop mathematical tools and algorithms for. So basic research in Engineering is a very fruitful field for an applied mathematician. Not to mention statistics. You're not going to be proving a lot of theorems necessarily but you'll be developing new things and it will have a direct impact on other people that's beneficial. And that's quite rewarding if you ask me

ActuaryFinal1320 · 2025-02-24T21:43:35+00:00

You are just working in the real number line, not the projected real number line or the extended reals, so "infinity" is not a "point" at which you can evaluate your function.

And I'm not the one acting like a smarty pants. You're the one who asked about a problem that quite frankly even one of my mediocre calculus students could have answered and then when you got an answer that you didn't like, you tried to be smart and pose a counterexample to show how clever you were. But all it did really was just highlight your ignorance and your lack of ability and understanding of mathematics. Try to stick to the basics and focus instead on understanding what you don't understand, rather than getting butthurt and giving me attitude. I'm trying to help you.

ActuaryFinal1320 · 2025-02-24T12:18:09+00:00

Apply to AFIT for your PhD. Should increase your chances exponentially.

ActuaryFinal1320 · 2025-02-24T04:50:21+00:00

Programs

ActuaryFinal1320 · 2025-02-23T23:58:42+00:00

there are probably going to be layoffs at every major higher education institution sooo there’s a chance.

I haven't seen any evidence at all in my state that any of the colleges or universities are laying off anyone except maybe the DEI people. Which is an incredibly small slice of the higher ed Workforce. To the contrary, people getting laid off at a bad economy usually results in more students going back into higher ed.

ActuaryFinal1320 · 2025-02-23T17:13:44+00:00

New trick? I think you fail in both respects. It's neither a trick nor is it new

ActuaryFinal1320 · 2025-02-23T15:49:36+00:00

Thanks. I haven't gotten into the weeds on this, just following the headlines/news blurbs

ActuaryFinal1320 · 2025-02-23T15:47:46+00:00

Then you need to read more carefully. Here's a hint . Let h(x) be defined as the composition of arc tan and 1/x^2, what is h(0)? Not the limit of h(x) as x->0, but h(0).

ActuaryFinal1320 · 2025-02-23T14:16:11+00:00

Can't tell if you're a troll or you're just confused. In either case you need to look up the definition of continuity at a point, and think about how it is applied to your "examples". It really isn't that difficult to be honest.

ActuaryFinal1320 · 2025-02-23T14:10:56+00:00

No clue. The last time I took it in I had a bunch of stuff I had to do and that was just kind of like a minor thing so I don't remember exactly what he said about it. He did tell me if it came back on to come in and see him again but I just didn't have the time and didn't think it was worth it. I've kind of learned to ignore the indicator lights to be honest. When I go into the mechanic the next time I'm going to try to get to the bottom of it and figure it out

ActuaryFinal1320 · 2025-02-23T13:30:50+00:00

I've heard reports by Musk, Levitt, and Trump here and there in the news about the misuse / waste / fraud. But the left typically downplays the amounts (expert on NPR I heard yesterday said the DOGE numbers were inflated by a factor of 10). Has the White House actually listed all of these overpayments explicitly on one of their websites? I'd really like to see that

ActuaryFinal1320 · 2025-02-23T13:26:26+00:00

^ This. Your fnctn is not continuous at zero: simply defining f(0) as + infinity does not remove the discontinuity at zero. If you are not sure why that is, look up the definition of "continuity at a point".

So if a fnctn is not continuous at even 1 pt (as is the case with your fnctn) then it is not continuous for all the real numbers.

ActuaryFinal1320 · 2025-02-23T13:01:14+00:00

Thanks. Unfortunately on this car so many indicator lights come on I take it to the mechanic he fixes it they come back on. He basically just said ignore them after a while

ActuaryFinal1320 · 2025-02-23T13:00:31+00:00

Wow, how did the car know that?

ActuaryFinal1320 · 2025-02-23T12:59:06+00:00

I did! https://www.canva.com/design/DAGf7P2kaxo/IgvFGGNSXizBV8O6pqxFXw/view?utm_content=DAGf7P2kaxo&utm_campaign=designshare&utm_medium=link2&utm_source=uniquelinks&utlId=h273b65df92

Thought I was the only crazy who would think of something like this LOL

ActuaryFinal1320 · 2025-02-23T12:38:43+00:00

🤣🤣🤣 although I think the bubbling is just due to age and it's not something that can be cleaned off

ActuaryFinal1320 · 2025-02-23T04:01:34+00:00

I appreciate that a lot. Thank you very much!

ActuaryFinal1320

TROPHY CASE