I will be attending University in September and plan to major in math. While reading about Galois Theory, for example, I tried to prove the fundamental theorem despite only knowing group theory and the definitions of a field and a vector space. Obviously I failed.
The only instance this has negatively affected me yet is during high school algebra, when I did not use the fundamental theorem of algebra because I didn’t know the proof to it.
Is this kind of a behavior normal for math? How did you get over it? I feel like in University I would be overwhelmed by the number of theorems.
So, I have a strange habit of playing around with numbers in Wolfram Alpha for no particular reason, and every once in a while I figure out something mildly interesting. I’m not sure if this relation between the Continued Fraction Constant and the prime numbers exists yet, but:
CFC * PCFC = GoldenRatio seems to hold true, so long as it were possible to actually use all primes for the PCFC, defined as the continued fraction [2; 3, 5, 7, 11…] and so on with the prime numbers. Because I can only use a finite number of primes for obvious reasons, the product between CFC and my approximation of “PCFC” gets closer and closer to the Golden Ratio, but obviously never gets there. Is this something which mathematicians have any use for, was it already discovered, etc?
EDIT: It has been demonstrated through several methods that the ratio only comes out to 99.7% of the golden ratio, and barring any potential limitations on WolframAlpha and other approximations of the math behind this, it seems that the ratio was actually a fluke. Thanks to everyone for helping me out with this.
My last car was a 2015 Mustang V6 Convertible. I really wanted a Jaguar F-Type S as my next car, but I drive over 400 miles a week due to work and social obligations. My commute averages about 75 mph because I commute in reverse traffic, so my mpg with the Mustang took massive hits. I was spending up to 2 hours a week at the gas station (Costco lines amirite).
I went in the completely opposite direction and bought a hybrid — a 2019 Hyundai Ioniq. In the first month, I’ve saved over $170 in gas and only refill when I want to. Not once this entire month have I taken a panic detour for gas.
It’s been exactly 31 days since my new purchase. I now want to give this car to my little sister and buy something else that gets at least 30 mpg and has a range of over 400 miles, but isn’t a hybrid, because I can’t do it anymore. I’m not having fun on the road. I have lots of fun when I turn off my car and it shows me my trip mpg, but on the road? It’s abysmal and I feel miserable. My obsession with getting the highest possible mpg has turned clinical.
I deeply regret buying this car because all I do is hypermile. I park my ass in the right-most lane and cruise at a constant 65 mph no matter what is going on. Mind you, if someone is tailgating me, I always let them pass. I never stay in the left or second-to-left lane because I know I’m driving slowly, so I am for sure not a danger to the road. I’m not an oblivious driver.
I’ve tried changing the screens around so I can’t see my mpg or battery usage, but I can’t get it out of my head. When I average over 60 mpg on my trips, my excitement is palpable. There are countless Instagram stories of my fabled 60+ mpg trips. I got almost 63 mpg on a 70 mile trip and still remember the numbers to this day because of how happy I was. I also got exactly 69 mpg on a 13 mile trip that I hold very near and dear to my heart.
Last weekend, I drove my Mustang for about 100 miles with about 18 mpg, and I had a blast. I wasn’t worried about my mpg at all. Everything changes when I sit down in my hybrid. No matter what I try, I can’t drive the way I do with my Mustang, or get the mpg out of my head. It’s not possible, and now I want out.
Let this be a warning to anyone looking to purchase a hybrid vehicle. If you’re at all an obsessive person, perhaps with some type of anxiety disorder, please consult with your psychiatrist or therapist before purchasing a hybrid vehicle.
These majors all require courses with statistical packages such as SPSS or R and they have different readings and resources. Are the materials in these courses mostly transferable, or do I need to take the specific course and use that material? Can I use a psychology course package in stats for doing sociological research and vice versa?
Are there really psychology specific statistical tests that would not apply for other fields?
My GF is pretty adamant on getting the new Subaru Crosstrek. Her reasoning is most cars of it’s class (CRV, RAV4, Escape, etc) don’t have “real” AWD unlike the Subaru. The competitors have a FWD system which will kick in the rear when there’s slip or when needed. However, the Subaru system runs all wheels (60/40 split I believe on the CVT model). The Subaru will burn more oil, which she is aware. She also argues the real-time AWD is better since cars like the MB 4MATIC (for C series, not CLA), BMW X-Drive, and Audi Quattro are all real-time AWD. Since these more expensive cars use real-time AWD, rather than a FWD biased system, she should get the Crosstrek which is also real-time.
Is there any significant advantage to the Subaru’s real-time AWD system over a FWD biased AWD system? We do live in Canada and getting stuck in the snow is somewhat common. Also, with the climate change, winters will be getting even more harsh. This year we had significant freezing rain and severe snow.
I want to make a comparison between two groups in spss, see whether the relation is modified by the group you are in. However, I was wondering what the minimum sample size for such a comparison is. It is just for a course at school, but I would really like to have an idea. Should 30 be enough in each group?
TLDR: I don’t daydream about fast and brutal cars anymore. I want something beautiful instead.
I apologize in advance for being so gosh-darn pretentious.
I had the day off, so I decided to go to all the high-end dealerships in my area. I saw a lotta nice cars (including a LaFerrari) and sat in a lotta nice cars (including a Wraith), not sure which), but what I was struck most by was sitting in a Bentley Mulsanne Muliner.
It wasn’t just comfortable. It wasn’t just “cool.” It was beautiful. Beautiful like a statue or portrait where you know the artist poured her heart and soul into her craft. I felt like I was sitting in someone’s living, and he accepted nothing but the best.
Look at this. That’s just the door panel, the thing you rest your arm on, the thing you slam shut without a care. And it’s just gorgeous.
Here’s the dashboard for the Mulsanne. Look at those gauges in the center (fuel, clock, and … coolant temperature?). What I saw there was intention. Those three simple gauges immediately reminded me of a sense of old-fashioned motorsports. The orange dials add tiny drops of color to the otherwise conservative color palette.
When I got home, all I could think about was the Mulsanne. I’ve seen the Doug videos of beautiful cars: the 250 GT Lusso, the Pagani Huarya, the Rolls Royce Phantom.
But experiencing automotive beauty in person was an entirely different experience. I was left with a sense of yearning. Why can’t all cars be like this? Designed by people who look at a door panel and see a space to put their craftsmanship in display. People who look at a fuel gauge and see an opportunity to spice up the dashboard.
The thing I took away from my experience is this: I don’t daydream anymore about Lamborghinis and Ferraris and crazy sports cars. Instead, I daydream about a beautiful driving and riding experience. Where I can fall asleep easily in the backseat, and stare at gorgeous door panels and dashboards when I’m awake.