I Think We All Know This Feeling Of Being Stuck Inside Your Routine. You’re Not Really Sad But It Just

simple ways to declutter & organize your (digital) life by kkaitstudies

ur digital life can sometimes be just as cluttered as in real life. here are some easy things to consider to declutter and organize online!

unsubscribe to all of the unnecessary services and newsletters. remember when you subscribed to that one store’s newsletter so you could get 10% off and haven’t shopped there since? unsubscribe to all of the stores that you receive newsletters from that you don’t shop from anymore. while you’re at it, if you haven’t used any subscription service like Spotify Premium in a while, do you rlly need it? SAVE DAT MONEY.

organize and delete emails. or if you’re extra nervous, archive the ones you feel like you may refer back to. create folders for important emails like order confirmations or school emails. filter thru emails every week so you’re not stuck with 500 emails in your inbox after one month.

back up your files. DON’T RISK LOSING ALL YOUR DATA! invest in a solid external hard drive. if it’s out of your price range at the moment, dropbox and the entire google suite are great (and free!) for storing files.

clean out all your computer folders. have u seen your downloads folder lately? save and organize the important stuff, and delete things you don’t need. 

limit the amount of folders you have on your desktop. keep it simple and easy to navigate. even if that means there are 5 folders within each folder lol (so long as u know where everything is)

delete unnecessary apps and photos. if you don’t use an app frequently or have any sort of attachment to certain photos, it’s time to delete them (don’t worry! you have them backed up somewhere if you’re decluttering!) u rlly don’t need 15 blurry burst images of your dinner from last night. just delete them. 

re: explaining algebraic topology to not-math people

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.

Productivity masterpost

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

ways to end proofs

QED

which was what we wanted (abbreviated w⁵, or u¹⁰, or even v¹⁰)

■ (or □ for lemmas)

♥

So there.

The rest is obvious.

My much requested list of resources for studying astrophysics. Happy learning!

Getting Stuff Done: How to Deal With Lack of Motivation

“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.

Part 1: Increasing motivation

Break up your tasks

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.

Make small goals and reward yourself

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’).

Part 2: Not relying on motivation

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?

Establish a study routine

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.

Schedule in time for breaks

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 :)

7 Ways to organize your laptop because we can always be a little more organized on our devices (including myself). 

Because of coronavirus, a lot of recent grads are moving back home. After four years (or more) of freedom, being back home is a big adjustment and it’s easy to revert back to our teenage behaviors. Here are some of the things I’m doing to feel a little more like a grown up while I’m living at home!

i. make your space your own

Just cleaning out your room can make a huge difference. Donate your old clothes and take your old posters from high school down. If you’ve got the time and resources, a fresh coat of paint or new bedding can also do a lot to make your old room feel more adult. You can also rearrange furniture to make a workspace if you’ll be working from home or applying to jobs.

ii. set boundaries

Lovingly set some ground rules about how you can best support each other. This is especially important if you’ll be working or taking classes from home – let them know you’ll be unavailable during certain hours so they don’t barge into a Zoom meeting. 

iii. build a routine

Even if you’re not working or in class at the moment, it’s important to be intentional about your time. The biggest thing that contributed to me feeling like a kid when I first moved back was spending my days watching Netflix and napping. Which are totally valid! But add in other daily activities, like taking your dog for a walk and making yourself a nice breakfast.

iv. make time for friends

I normally hate virtual hangouts, but they’ve been so important for my mental health during quarantine. Schedule a weekly Zoom coffee date with your group of friends. FaceTime your old roommates. Meet your high school bestie in the park and have a distanced picnic (don’t forget masks!). Having a support system is so important right now!

v. find new hobbies

This is the perfect time to try out new hobbies. Plus, craft stores have been having great sales since they know everyone is cooped up all summer. I found some really fun craft kits that I never would have tried normally, and now I’m the proud owner of a woven frog wall hanging. A few ideas: painting, tie dying, embroidery, yoga, running, learning a new language, reading, etc.

Having a long-term project to work towards – like a larger art project or trying to master a difficult yoga pose – helps to keep the days from running together.

vi. find ways to feel “normal”

Everyone, no matter their living situation, is feeling really upended right now. Find the little ways to bring back pieces of your “normal” life. Learn how to make your favorite coffee shop drink at home. Cook for yourself. Wake up at your normal time even if you don’t have to. Keep up with your normal exercise and self care routines – they’re more important now than ever!

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.

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Writing a CV:

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

Writing a Cover Letter:

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

Referencing:

How to get a reference

References: workers’ rights

How to deal with employment references

How to include references on a resume

Interviews:

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

What job can I do?

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

Volunteering:

7 Simple ways to make the best of volunteering

Benefits of volunteering

Benefits of mentoring

Volunteer Abroad

Resignation:

Resignation letters: What you need to know

Resignation letter templates  

How to resign

How To Resign & Hand In Your Resignation Letter

Redundancy /Job Loss:

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

At work:

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