Mathematician and theoretical physicist Theodor Kaluza ( left) and theoretical physicist Oscar Klein who formulated the Kaluza-klein theory (kk theory) which is a classical unified theory of gravitation and electromagnetism built by formulating Einstein's field equations in five dimensions, considered an important precursor to string theory.
The original hypothesis came from Kaluza who sent his results in a letter to Einstein in 1919 and published his results in 1921. Kaluza presented a purely classical extension of general relativity to five dimensions with a metric tensor of 15 components ( 10 associated with 4 dimensional spacetime metric, 4 associated with electromagnetic vector potential and 1 representing a scalar field)
Oscar klein gave Kaluza's classical five dimensional theory a quantum interpretation by suggesting that the fifth dimension was curled up and microscopic to explain the cylinder condition and it's geometry could take the form of a circle of radius 10⁻³⁰
Hello! If you don't mind can you tell me how you organised your journal for your academics.I am a maths major and I wanted to do that for my proofs as well.I did try searching on the internet but I didn't get anything good.
Thank You in advance xx
It was a really basic format honestly ! So these are all the journals I kept during my whole undergraduate degree.
The black ones were for course and module information, lecture notes, to do lists and essay plans.
The dark and light yellow were a reading journal and a dissertation journal. I wanted to separate my own impressions of texts and I wanted to keep all my dissertation research and planning in one separate place as obviously I was conducting it by myself.
Black Journals
At the start of every year I would write down all the essential information from each of the four modules I was taking. This is an example (I have whited out the name and email of my course convened and lecturer for privacy reasons). But it includes contact information, lecture and seminar hours and locations, learning outcomes and assessment criteria (the things you will be assessed on, obviously paying attention to these helped me get top grades), assessment information (how many essays or exams I had that year and how much they contributed to my final mark and how many words they were) and finally the primary reading list.
This is what a spread of my lecture notes looks like. I always hand wrote my lecture notes because I couldn’t retain information and didn’t enjoy using a laptop. In my first two years I used a rough notebook to write them down then wrote them up neatly later, which was too time consuming for third year. But by that time I had developed my note taking skills and felt confident writing them up as I listened in the lecture. I just wrote the name of the module and the text we were studying and the date for reference. I would change to a red pen for anything I felt was key information. I know most people won’t like this method but I write fast and quite neatly !
My to do lists, essay plans etc didn’t really have a format obviously. I just wrote down what I needed to do, did some rough mind mapping, occasionally put a little doodle in. My essay plans were sort of all over the place but this is where I did my essential planning and then rough work tended to be on scraps of paper or on the draft essay document. The first is a checklist at the end of the year and the second is one of the essay plans/brainstorms for an essay I got a first in.
Yellow Journals
(i.) Reading Journal
I kept a reading journal throughout university, which I wish I had used more. It’s literally just a brain dump of all my thoughts and impressions of what I was reading and any quotes I found relevant. I included secondary reading in this too in my final year. It’s something I’m going to carry on with because I love having somewhere to keep my stream of consciousness about literature. It was so helpful for me to read over this when I was writing my essays because there were some really insightful bits of analysis or key things that I had forgotten and needed reminding of. Highly recommend everyone doing this, if not on paper then on a document on your laptop !
(ii.) Dissertation Journal
There was very little method to this journal. But having it all in one place really kept me organised. It was a place of messy but very important brainstorming, figuring out and rough work. It’s the sort of thing that’s probably only coherent to me. I just wrote down what I needed to do as I went along. So in the early stages there was a lot of trial ideas, there was pages of information about how we should structure and deal with our dissertations from lectures, deadlines etc.
The first image is the first page where I started writing out some vague ideas about the topics I wanted my dissertation to address and which literature that worked with. The last two are just an example of what some of my working out looked like, how I was deciding to structure my argument, and which secondary materials and theorists I would use for each chapter. But there were all sorts of things in there, random tangential points and ideas I needed to note down, tips about how to write an effective dissertation etc. It ended up being my highest grade so this definitely worked for me !
[8.08 am] Just finished revising all the vector calculus that I have done so far. I will do 10 more pages of vector calculus today. Just praying to God that this day goes well.
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[12.29] I studied vector calculus for an hour and so done with it for today. I will later check out Paul's online notes to see if I can use them for my next two chapters. But for now, I'll watch a movie.
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[10.18] I completed three chapters of analysis 1.Omgggg.I was listening to some om chantings in the afternoon because I was getting stressed. It did help and made my day go so much better. I still haven't figured out how I will remember the proofs. I understand them and only vaguely reconstruct them. I just have to remember that I don't need to stress about it. I'll eventually get to know about it. If you guys know how to do it then please let me know <3
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217 days left to go...
Will I make it ?
The Mayriit Project.Stay tuned on a Tumblr blog near you.
🌿What would be your perfect summer day? 🌿
Some group theory notes that I took today.
Yesterday I started reading 1984 by George Orwell.But I have also started two other books namely 'Men of Mathematics' by E.T.Bell and 'Music Of Primes' by Marcus du Sautoy.I have also decided to buy Anna karenina by Tolstoy after reading a post about it by @theclassicalmind.
Hey guys! I wanted to make a challenge that felt achievable to folks while still giving that sweet sense of accomplishment. My mental health has been rough lately so I kind of designed it for myself as I try to find balance between taking care of myself and taking care of my goals.
The rules: Every day for 14 days, study and post a picture of what you worked on. It can be for two minutes or for hours. Doesn’t matter—you did something! There are also mental health prompts for each day I’d love if you answered. They range from pretty light to more thoughtful. Do your best!
I’ll be tracking and reblogging from the tag #TwoWeekStudyChallenge. Please don’t worry about your pics not being aesthetic enough or that what you’re doing isn’t interesting enough. It is, I promise!
This is set up like the 100 Days of Productivity Challenge: no start/end dates. It’s a personal challenge that’s there when you need it!
Week One Prompts
Day 1: What self care did you practice today?
Day 2: What did you do that made you feel proud today?
Day 3: Have you experienced burnout from studying? How did you handle it?
Day 4: How can you improve on taking care of your mental health?
Day 5: What kind of support do you wish you received from your school/university?
Day 6: What popular self-care ritual does nothing for you?
Day 7: What small thing brings you the most comfort?
Week Two Prompts
Day 8: What’s your comfort song?
Day 9: Do you think your long term goals are achievable and healthy? Why or why not?
Day 10: What subject brings you the most joy to study, either for school or on your own?
Day 11: Do you take mental health days? Do you think you should?
Day 12: What’s your creative outlet? What’s a new one you’d like to try?
Day 13: What makes you feel inadequate? Would you think it made a friend inadequate?
Day 14: What makes you feel strong and capable?
saga in black and white
someone needs to tell Lance Armstrong about the Banach Tarski paradox
🌿What would be your perfect summer day? 🌿
|She/her | Maths Undergrad | I love reading too|Personal blog is @silenthoughtss| I follow and like from this account|
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