Topology is the study of spaces. Topology basically just means geometry, and spaces basically just mean shapes. But this is (way, way, way, way, way) too hard.
Linear algebra is easy. It’s the easiest kind of math there is. It’s so easy that first-year undergrads can do it!
So, rather than study topological problems head-on, we try to find ways of converting them into linear algebra problems. There’s a trade-off between power and computability: we need to destroy enough topological information to end up with something that’s actually manageable, but retain enough that once we solve the algebraic problem, it still tells us something useful about the topological problem we started with.
Throughout math, the way we understand complicated objects is to build them out of/break them into/relate them to simpler objects. We analyze the simple objects first, then try to assemble that information into an understanding of the complicated thing we started with. For example, the factorization of integers into primes means we can usually understand things “one prime at a time” (where 0 is often counted as a prime), followed by a reconstruction procedure.
We’re interested in procedures for turning topology problems into linear algebra problems. Such a procedure is called a functor if, whenever things on the topology side are related in a certain way, the corresponding linear algebra objects are also related in a similar way. This allows us to reduce the problem of calculating the value of a functor on a crazy space to first calculating it on simple spaces (such as spheres), and then assembling the resulting algebraic data.
So functors from topology to linear algebra now become our main object of study. Once again, this is too hard: for example, the unstable homotopy functor remembers nearly everything about topology, and is essentially impossible to calculate (it technically doesn’t land in “linear” algebra, but that’s not important here, since we’re going to throw it away anyway).
The issue is that plain functoriality is actually a pathetically weak condition; we need our functors to establish a much closer tie between topological input and algebraic output. Sometimes people loosely use the term “extra functoriality” for this. In any case, we want to look at what are called excisive functors. These let you understand the result of gluing two spaces together in terms of the original spaces. For example, you can get the 2-sphere by bending two disks into hemispheres and gluing them together along the equator (a circle, or 1-sphere). The unstable homotopy of a disk is zero, and the unstable homotopy of a circle is easy, but the unstable homotopy of a 2-sphere is horrifyingly complicated and will probably never be fully known. On the other hand calculating the value of an excisive functor on a 1-sphere is equivalent to calculating it on a 2-sphere.
So now we restrict again to studying excisive functors from topology to linear algebra. A more common name for excisive functors is spectra. Remarkably, spectra themselves behave quite a lot like spaces! A partial explanation for this is that when we apply a spectrum to a space, what we’re actually doing is forcing that space to become a spectrum, and then having the two things play around with each other in spectra land.
So we can port over a lot of our geometric thinking to understand spectra. But, they also behave a lot like algebraic objects, which makes them a lot easier. There’s a totally crazy sense (which can be made precise) in which spectra are the linearization or “first derivative” of spaces.
(Strictly speaking what I’ve been calling excisive functors/spectra are actually what’s called “cohomology theories”. Every cohomology theory can be upgraded to a spectrum, although there’s a slight ambiguity in doing that. Cohomology theories do not behave like spaces: you can’t properly build fancy cohomology theories out of easier ones, which, as we have seen, is crucial to understanding anything.)
So now spectra become the main objects of study; this is the field of stable homotopy theory. Once again, this is too hard in general: stable homotopy, while more tractable than unstable homotopy, is still essentially impossible to calculate (it subsumes many extremely hard problems in other areas of mathematics, such as number theory). On the other hand there are lots of spectra which are easy to calculate:
The Eilenberg-Mac Lane spectrum H gives the singular (co)homology of a space, which essentially just counts how many holes a space has in each dimension. This is the easiest spectrum there is. It’s so easy that first-year graduate students can do it!
The complex K-theory spectrum KU and real K-theory spectrum KO tell you how many ways there are to slide a (real or complex) vector space around your topological space. KU is relatively computable, although KO is harder.
The various flavors of bordism spectra MO, MSO, MU, MSpin, MString measure how one space can fit inside another, up to an equivalence relation called (co?)bordism. Here, two ways X and Y of fitting one space inside another are called (co?)bordant if they fit together into a pair of pants, where X is the waist end and Y is the foot end. MO is very easy to calculate; the others are harder, but still doable (or at least MSO and MU are, not sure about the others). Bordism spectra come up a lot in physics/string theory; in particular MString is related to something called the “Witten genus”.
As mentioned before, when dealing with numbers it usually suffices to deal with just primes (and sometimes 0). The same strategy works with spectra: we can fix a prime p and focus only on the parts of stable homotopy theory which are “visible” to p. This is called localizing at the prime p, and is so ubiquitous that it’s often just done implicitly.
When we do this at the “prime” 0 (which is called rational homotopy theory), all the topology dies and we’re left with something completely algebraic. So this case is pretty easy, and we can focus our attention on the ordinary primes.
Thus far I’ve sort of heuristically said that some spectra are easy while others are hard; there is a a way of making this somewhat more precise. Once we localize at a prime p, stable homotopy theory splits into an onion (with infinitely many layers); these onions behave differently for each p, though, which is why we have to look at them one at a time. The outer (0th) layer is the rational Eilenberg-Mac Lane spectrum Hℚ, the first layer is more or less the complex K-theory spectrum KU, and in general things get “harder” the farther inwards you go. (The exception is that the “infinite” layer, which is the center of onion, is another Eilenberg-Mac Lane spectrum HF_p; while harder than the rational Eilenberg-Mac Lane spectrum Hℚ, this is still pretty easy to understand).
There are spectra K(n) which describe the n’th layer of the onion, as well as spectra E_n and E(n) which describe how the n’th layer fits together with the layers before/after it. (I don’t really understand this and might be lying here)
The second layer of the onion is related to elliptic curves, which are extremely important in number theory. For example, elliptic curves were central to the proof of Fermat’s Last Theorem. They’re also used extensively in cryptography (online banking, etc.). Studying the second layer led to the discovery of the spectra TMF, Tmf, and tmf, which respectively stand for TOPOLOGICAL MODULAR FORMS, Topological Modular Forms, and topological modular forms; these also show up in string theory. Mark Zuckerberg and Yuri Milner threw 3 million dollars at Jacob Lurie for (among other things) his work on understanding this.
The current consensus is that the layers after the second are too hard to understand in significant detail.
Hey, I’m back with another masterpost. I decided to include some of my tips.
Use the forest app to keep you off your phone, your phone is a distractions you face when studying
Try making a to-do list to plan out how much time you take to do each task so you keep track of time
Set rewards i.e. if I finish this task at 9am instead of 9.30am, I’ll watch my favourite tv show for 1 hour instead of 30mins.
How to be disciplined
I guess this is pretty much like a habit. So try to maybe start small, i.e. study 10 mins each day and gradually increase the time limit if you feel comfortable doing so. The reason I chose 10 mins is because it seems like a very short period of time so it’s easier for you to get to work.
How to manage studies with social media
Always set a time period for your school work. For example, after 30 minutes of browsing through your social media, force yourself to do a piece of school work. That way, you will still get work done instead of browsing through your social media all day long.
If you realise on tumblr, I don’t come up with an original post every day and I tend to reblog my old post or queue others posts so don’t stress too much on coming up with a post. For instagram, you could try to take pictures all during the weekend, so you don’t have to stress taking them after school, etc. But it is important to always put studies first before your social media.
Consider switching off your phone or even deleting your social media apps or deactivating them during exams period if they are really getting in the way of your studies.
Plan
How to schedule your day when you’re unemployed by @businessinsider
How to stick your plans by @cafeinated
How to make and stick to your study plan by @sherlocks-study
Create long term study plan + how to stick to study routines by @studyforyourself
Start
How to start studying by @studylou
How to start working when you really don’t feel like it? by @studentstoolbox
What to do when you really don’t want to study by @yeon-studies
How to stop scrolling through tumblr for 3 hours when you have work by @effectivestudies
More productive
How to become more productive by @to-work-or-not-to-work
How I increased my productivity by 3 times by @brbimstudying
4 secrets to efficiency
The ivy lee method for peak productivity by @harcules
General
How to study as a busy student by @julstudies
Use studyblr to become productive by @determinationandcaffeine
Take a productive break by @thestudycoffee
5 things everyone should do on sunday night by @staedtlers-and-stabilos
Productivity 101 by @lets-study-together
The no bullshit guide to getting your shit together: for the lazy student by @knoweldge
Habits
8 morning habits for productivity by @eintsein
The 8 habits of highly productive people by @medicinasanguis
Habits of highly effective people by @onlinecounsellingcollege
6 habits for maximum productivity by @livingthatlibrarylifestyle
How to develop self discipline
How to wake up earlier by @gurl
Motivation
Focus and motivation by @katsdesk
Whenever you’re feeling unmotivated and sleepy by @evergreenstudies
How to stay awake while studying without caffeine by @getshitsdone
How to be productive + motivated on weekends by @studywithinspo
Procrastination
Types of procrastination and how to deal with them by @emmastudies
How to stop procrastination
How to stop procrastinating by @cutestudystuff
15 productivity hacks for procrastinators by @engincrd
Unconventional methods to beat procrastination by @hawkestudies
What type of procrastinator are you by @b-uwu-ng
Eliminating procrastination and distraction during a study session by @simply-study
Productive when travelling
productive commutes by @universi-tea
productivity on road trips by @intellectys
Tips
7 productivity tips by @simmonestudies
10 small tips to improve your productivity
The dutch student’s productivity tips by @thedutchstudent
My top 10 tips for productivity by @lovelybluepanda
21 tips to become the most productive person you know by @studying-towards-success
Tips and tricks for busy students by @roeum
Time management
Managing time
How to manage time by @solar-citrus
How i manage my time by @pensandmachines
Time management
Tips
Time management tips by @365text
Time management tips for busy students
Time management tips
Tips for time management by @holocrams
26 time management hacks I’d wish I’d known at 20 by @geekvitamin
How to make the best use of your time by @tbhstudying
5 ways to manage your time efficiently by @quadrtics
Printables
Daily planner by @arystudies
Weekly planner by @studyblrbunny
Productivity printables by @thearialligraphyproject
Habit tracker by @candydsgn
Schedules by @kouiro
Bullet journal
My 2016 bullet journal setup
Sounds
Study sounds by @studyquill
Other masterposts by me
Printables
College
Apps for students
Note taking
Math
Bullet journal
icon credit to @nerdastically
Don't allow others to consume you. If they don't call, go to sleep. If they don't message you, put away your phone & have a good day. If they are distant and refuse to tell you what's wrong, go home and do something fun. You live for yourself first. They are secondary.
The perfect resume for someone with no experience (by businessinsider)
Guide to writing a CV
Common grammar mistakes to avoid on your CV
How to explain a gap in your CV
How to overcome common CV issues
What not to do on your CV
Should I include hobbies and interests in my CV?
CV layout: dos and don'ts
Free CV template
School leaver CV template
CV templates and tips
More free CV templates
Example CVs
How to tailor your CV to different industry sectors
How to write a cover letter
How to overcome common cover letter problems
Graduate cover letter template
Career break cover letter template
School leaver cover letter template
Free cover letter template
How to get a reference
References: workers’ rights
How to deal with employment references
How to include references on a resume
How to answer common interview questions
How to prepare for an interview
The interview itself
Advice to help you ace the interview
Answer curveball interview questions
101 Interview Questions You’ll Never Fear Again
Second interview questions and answers
Telephone interview questions and answers
Questions you should not be asked
What to wear to an interview: bloggers’ top tips
Group interview tips: do’s and don'ts
Interview questions for employers: What you should be asking
What not to do at interview
How to decide what job to look for
How to find a new job
How to search for jobs online
Jobs in the retail industry
Jobs in the engineering industry
Jobs in the fashion industry
Jobs in the IT industry
Jobs in the motoring industry
Jobs in sport
Jobs in the education industry
Jobs in the energy industry
Careers with animals
Jobs in the media industry
Jobs in the leisure & tourism industry
Jobs in the catering industry
Jobs for history lovers
Jobs for geography lovers
Jobs for English lovers
Jobs for maths lovers
7 Simple ways to make the best of volunteering
Benefits of volunteering
Benefits of mentoring
Volunteer Abroad
Resignation letters: What you need to know
Resignation letter templates
How to resign
How To Resign & Hand In Your Resignation Letter
Deal with redundancy
Things to do if you lose your job
Claim Jobseeker’s Allowance
Jobseekers allowance (UK) overview
15 tips to survive a job loss
How to Cope With Job Loss and Move On
How to start a new job
How to have a good first day
How to hold onto your job
How to handle bullying in the workplace
Commuting: how far is too far?
How to get a promotion
Summer workwear advice
Office Style Trends 2015
What You Can (and Can’t) Wear to Work
Dealing with stress at work
How to deal with a brutal boss
i think we all know this feeling of being stuck inside your routine. you’re not really sad but it just feels like something is missing. so i’m here to give you ideas on how to spice things up™️ (or just make life more enjoyable).
paint your nails in an exciting color. paint them in several colors idc. now every time you see your hands (which is very often) you see your super cool nails
listen to a new music genre. like something completely different. if you like rap you will listen to country music now. jam your heart out i know u want to (here & here are some playlists if u need any ideas)
on that note revisit songs you liked when you were younger. we gettin nostalgic
sometimes you just need to watch a good old vine compilation
food!!! this can be such a huge factor. something as simple as switching your breakfast from toast to cereals, just smth new, can make a huge difference. try new things out, have fun (recipes here, here, here and here)
same thing with the things you drink! add lemon to your water, drink some tea, try iced coffee out, buy water from a diff company, …
a cute cup for your morning drink can really lighten up your mood too
get some magazines and cut things out you like. now get an a3 (a4 is okay too) paper and make a big collage
ikea trip? ikea trip!! don’t forget to eat smth there too yum
after showering put on some good smelling lotion and just enjoy the feeling
now put on your favorite underwear and an oversized shirt. maybe take some cute pics just for yourself. trust me you will feel better
rip a paper into little pieces
cuddle with your stuffed animal idc if you feel stupid, you will feel better
maybe spice things up with the way you look? try out a new hairstyle or invest in a new accessory you like (jewelry, hair ties / clips, belts, scarfs, etc.). it doesn’t have to be expensive, there’re lots of cute things in second-hand stores for example!
start a challenge in whatever you’re interested in. maybe for a hobby you always wanted to try out or pick up again. there’re tons of challenges on pinterest. i think i will try this one out though
write a love letter to yourself. you deserve one. fold it into a very small piece and put it into your pocket. this is now your lucky charm because trusting in yourself is all you need sometimes
buy groceries but this time with a friend or family member. catch up, have fun, buy some cookie dough and eat some cookies
picnics!!!!!!!! i love picnics!!!!! they’re so cute and actually super easy to organize. you can go alone or with someone else. just grab the food you have at home and a blanket and go to the nearest spot you find. even your garden or balcony. you can easily incorporate this into your day if you don’t have much time. instead of eating your dinner at your kitchen table you will go on a picnic now
if you have more time, you can bring a book with you or some art supplies and enjoy time outside
taking a walk listening to your fav album can help so much
change your bedding. you don’t even need to buy a new one, just wash it and get that feeling of freshness
open one of these sites (1, 2, 3): and read an article that seems interesting
buy flowers for yourself and put them in your room
change the color your laptop highlights things in
declutter your phone and laptop in general. set up some new backgrounds that make you happy
vary your commute. take the bus instead of the subway, get off a station earlier, or if you can, take the bike
change the places you do things. try studying in the library or a café, scroll through your phone not in your bed but at the kitchen table, read on the floor, every small change adds into spicing things up
take a bath when you shower normally or the other way around
light candles in the evening
search for your old nintendo and play some games
stretch in the morning. even for 2 mins is good
download some new apps
try a no social media day
instead of a black / blue pen write in a different color (for example your groceries lists, on post-its, in your journal, …)
i hope some of these ideas can help you! most of the are easy to incorporate into your daily life and take no to little money. have a nice day!! <3
“How can I stay disciplined?”
“How can I get things done if I don’t feel like doing them?”
“How can I overcome my lack of motivation?”
As a college student who has had their fair share of being absolutely unmotivated to do anything, I know it can be hard to get things done if you don’t feel like doing them. Luckily, there are some things you can do to become more motivated to finish your homework, write your paper, study for your exam, or whatever tasks you have on your plate.
Just thinking about one huge task is going to intimidate you so much that you’d rather leave it till later, when the urgency of time pushes you to complete it, than start now.
Breaking up your big tasks into smaller ones will make your tasks seem less daunting. Since you won’t be as intimidated by the amount of effort it might take to complete these tasks, you’ll be more likely to start doing them.
For studying, this can be something like ‘make flashcards for units 1-3’ or ‘practice past exam papers: 2015 + 2016’. For writing papers, this could be writing an outline, doing research for each point of your outline, writing the first 3 paragraphs, etc.
Working on small tasks at a time will also make you less prone to distractions since you only need to focus for a short length of time.
These goals could be accomplishing one of the smaller subtasks above, or achieving a certain grade on a practice test, or finishing a section of your study plan - as long as you’re working towards something.
The rewards? Maybe going out to eat, watching something, or even just time off. Hopefully these rewards will motivate you to complete your task.
I know some people are more inclined to do their work if they’re punished for not doing it, rather than rewarded for doing it, so if you wanna take the ‘punishment’ approach, you could do something like not allowing yourself to use social media until you finish a set of tasks - this is essentially the same thing, just thought about in a different manner. However, you should always be careful with these punishments/restrictions, because sometimes they can end up harming your health and productivity (e.g. ‘I can’t take a break until I finish all of my homework’).
Of course, you can’t always expect yourself to be motivated all the time. In fact, it’s very ineffective to rely on motivation to get things done; motivation is fleeting. Here’s an alternative: self-discipline. But how does it work?
Humans are creatures of habit. Even if you’re a P-type (like me), habits are hard to break. So making a habit of accomplishing your tasks/studying at a set time every day will help you, well, accomplish them. For example, it’s a lot easier to get your homework done every day if you do it at the same time - e.g. once you come home from school - rather than doing it ‘whenever you have time’.
Having a study routine will also make you less likely to be distracted since you know that that period of time had a purpose. If you’re trying this out for the first time, you might wanna completely get rid of distractions so that you can focus (e.g. putting your phone in your bag, on silent). However, with practice, I found that my phone or any other sources of distraction don’t really bother me anymore since I’ve had tons of practice resisting the urge to pick up my phone whenever there’s a notification, for example.
This ties in well with the point about rewards: the break might be the reward for your studying. However, this doesn’t always have to be the case. You shouldn’t always think of relaxing as merely a reward for studying or accomplishing your tasks, but rather a necessity for the well-being of your mind. This sort of approach to breaks ensures that you actually let your brain rest once in a while.
After taking a break, your mind will be refreshed and revitalized, and you should have more than enough energy to continue with your other tasks.
Some of you asked - with regards to my previous post on The Mandatory Midday Break - how I can limit myself to exactly an hour, and to be honest, the answer is habit. It’s like having a habit of showering at the same time every day and not extend the length of time you spend in the bathroom (except in certain circumstances, like during a day off, I guess).
This is why it’s important to schedule your breaks and establish a study routine or habit - not only does it ensure you get enough rest, but it also prevents you from extending your break so that you don’t become unproductive and leave a ton of tasks unfinished.
It can be hard to motivate yourself to accomplish all your tasks, but there are things you can do to increase your motivation. However, you can’t expect to be motivated all the time, and you shouldn’t rely on motivation to get things done. Discipline and habit are the most important tools you can use to be efficient and productive without having to be motivated.
Hope this post has been helpful, and, as always, feel free to drop me an ask if you have an ask. Have an awesome week :)
As a language lover who can’t possibly afford all of the language lessons I would love to take, over the years I learned the best ways to self-learn them. This introductory phase doesn’t even require a textbook - I am sure everything here can be found online for free.
Disclaimer: this is the method that works the best for me, and I’m sharing it with the intention of helping other people who are stuck. There’s a million different ways to self-learn a language, so if this one doesn’t work out for you, don’t lose motivation!
Disclaimer 2: this method might not work with all languages. I’m sharing this knowledge keeping in mind my experience with Latin (in particular French, Spanish, etc) and East Asian (in particular Korean and Japanese) languages.
Without further ado, here are the steps:
1. If you’re learning a language that uses a different alphabet, make sure that’s the first thing you learn
Relying on romanization is fine at first, but further down the path it will only serve to confuse you. Romanized words of these types of languages can be written in many different ways, so often they don’t even provide an accurate way of pronouncing them. Furthermore, as you make progress, you won’t be able to access a lot of content in your target language since you won’t find it romanized.
2. Learn your first words
Before actually getting into all the grammar rules and whatnot, learn your first words! These include, among others:
Greetings
Answers (yes, no, maybe, etc)
Numbers
Please and thank you
Practice their pronunciation to get used to the language’s sounds, and how they’re written (especially if you have to use another alphabet - it’s a chance to practice your calligraphy!).
3. Learn essential vocabulary and grammar
I call these “essential vocabulary/grammar” because they are words you must know to build sentences (other than verbs). These include:
Articles (definite, indefinite, partitive, etc)
Basic pronouns (personal, possessive, etc)
Depending on the language, basic grammatical particles
Sentence order! In many languages, the subject/verb/noun order is totally different. Make sure to know how your target language orders that.
Make sure to also learn their rules and remember the exceptions. The latter are always annoying, but don’t worry - as you progress, you will learn these by heart, and they will eventually come to you naturally!
4. Learn the most basic verbs in the present tense
Like the vocabulary of the previous step, verbs are also essential when building sentences. Now that you’re only a beginner, you don’t need to learn difficult verbs or tenses, so stick with the most used ones:
to be
to have
to do/make
to say
to go
to know
to think
to see
to want
to give
5. More vocab!
Now that you know your verbs, complement your knowledge by adding more basic vocabulary. Here are some ideas:
Places
Food
Objects
Adjectives
Family members
Knowing these in addition to the grammar points you’ve learned will allow you to construct simple sentences, such as I am going home or This is my sister.
6. Practice for your level
Like many other people, I’m guilty of jumping straight into watching movies and shows in my target language, only to get frustrated with myself when I don’t understand anything despite everything I learned until then. Of course, I’m not saying you shouldn’t do it, since it does help you develop your listening skills (especially if you do it with subtitles!), but I have a tip for the ones who prefer an easier activity.
Look for children’s content! I know this sounds silly at first, but books, movies, shows, etc made for children usually use basic grammar and vocabulary. If you think about it, the listening exercises you find in language grammar books made for beginners often seem like they’re made for children for that reason. Therefore, if you can’t find clips and texts for your level easily, try following this tip!
A few more tips for self-learners + resources
Write a diary in your target language. Even if you don’t know that much, try describing your day the best way you can (even if that means you have to write everything in the present tense). That’s a way of understanding what sort of vocabulary is useful in your daily life and what are your weaknesses.
For you listening skills, other than Netflix, listen to music as well! Seize the opportunity to also learn the new vocabulary you find in the songs.
For speaking skills, if you don’t have anyone to practice with, read texts out loud and record yourself to check your pronunciation. If you’re up to it, finding friends online that speak your target language is also a great way of practicing dialogue!
Most used words in every language
Textbook masterpost
More helpful books!
Random tasks to practice your target language
My blog’s langblr tag for more helpful posts
Happy studying! ✨
Tips for a super busy life
If you're a college student, chances are you're busy. If you're a college student with a job, you're super busy. And sometimes things get hectic and out of hand. As someone who works full time and does school full time and has pets here are some of my favorite tips!
Don't have a super firm schedule for the small things. Don't block in times for things like lunch, baths, or reading. Sometimes things get insane and you need to have flexibility to move things around.
Slept in your makeup? Get some olive or coconut oil and clean the smudging around your eyes. Put on a light color shimmer shadow on your lids, put your highlighter a little higher than normal, and if you have dry skin, throw some on your brow bones, nose, and chin. Doing this will help give you a more refreshed look, making it seem like you got your sleep and keep up with skin care. Make sure to moisturize if you have time and remember to take it off when you get home.
Pack your bag/lunch/whatever the night before. I promise you, you're going to forget something in the morning so make sure it's done and ready for you to grab and go in the morning.
Cook big meals. Cook enough for 3 or 4 people when you cook. It takes maybe 5 minutes longer and will give you several meals.
Schedule one day a month where you do nothing. No chores, no work, no study. Nothing.
Getting up early not only let's you get things done sooner, but it makes you want to go to bed earlier, keeping you out of trouble. You'll save some money too.
Let your professors know when the semester starts that you're working and have family things and talk to them about the course load, assignments, etc. A lot of times, they'll help you out and extend deadlines when needed.
Make friends in class. You can borrow notes on days you miss.
Clean as you go. Wash dishes while cooking, put clothes in the hamper while changing. Put things away after use. It saves so much time and stress.
Sweep every day. Trust me on this.
If you're on campus, just study on campus. Don't waste time in a commute.
Work on assignments as soon as you get them.
Study a little bit evey day. Make flashcards on your phone. I recommend the flashcards app. I use it and have the premium version and it's amazing. I can study while I'm at work, walking between classes, etc.
If you're buying something you use a lot of, shop price per ounce and buy it in bulk. It'll save you time, money, and stress. For example, I eat a lot of rice because it's easy, fast, and cheap. I buy the 5lb bag for $0.07/Oz and it can last me a month sometimes. Fewer trips to the store yes please.
Freeze your fruits and veggies and basically anything else. Stocks, soups, sauces, meat, everything. This way you can cook a bunch at once and freeze it and have it whenever you're in a time/money crunch.
Use your pets as your daily exercise. Take them for a walk, run around the house with them, whatever. But they'll get you up and moving.
Take super good notes in class
Find songs about the topic you're studying and listen to them while on your commute.
Take time every day to move, eat, clean, and relax. Trust me, you'll get more done if you take care of yourself.
Get your vitamin levels checked
Keep jackets, umbrellas, keys, and shoes by the door.
Buy your paper products in bulk.
Crockpots are your new best friend. Throw some shit in there before you leave for the day and come home to fresh, hot dinner! And yes you can make much more than just stews and dips in them! They sell small ones at Walmart for like $15
Eat in the mornings. Please
Water will give you energy in the morning
Keep your things organized. And again, put them back after use.
Please feel free to add your own!!!!!
My much requested list of resources for studying astrophysics. Happy learning!
Hi, this is a masterpost of the-diary-of-a-failure and its posts related to productivity! The posts people loved the most are highlighted, but I recommend you check out the ones, which didn’t get much love, too. Enjoy:
🍁 Hustle
Stay productive through the day
Setting goals (2019 edition)
Personal 2019 goals
Breaking down goals to actions
Get the best out of your time
Have a productive school/Summer break
New personal goals (2020)
How to build a bucket list
How to stop procrastinating
Get your life together in 8 weeks
🍁 Productive lifestyle
Make your mornings easier
Wake up early
Tips for better sleep
Spend less time on your phone
Keep your space organised
Be more organised
Declutter tips
Scheduling and organsing time
Things I always carry around
Digital declutter
Strive for perfection or half-ass it?
Workout tips for beginners
You do you for you
🍁 Routines
Weekly reset routine
Creating a routine
Monthly routine
After-school routine
Weekly routine
Building your own self-care routine
Cleaning routine
🍁 Staying on top of your game
Prioritise in times of stress
Bullet journal ideas
Getting back on track after being sick
Turn lazy into productive
Bullet journaling tips
Getting back to work
🍁 Rest is important
Break ideas
Don’t overwork yourself
Taking breaks in chaos
Do what you feel like doing
How I deal with anxious days
How to push the reset button
🍁 Other masterposts
Studies related masterpost
Lifestyle and health masterpost
Art masterpost
Miscellaneous posts masterpost
QED
which was what we wanted (abbreviated w⁵, or u¹⁰, or even v¹⁰)
■ (or □ for lemmas)
♥
So there.
The rest is obvious.