7 Ways To Organize Your Laptop Because We Can Always Be A Little More Organized On Our Devices (including

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

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.

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! ✨

Proof by induction

Proof by contradiction

Proof by using a Renaissance painting as your header image

Proof by saying “QED” at the end

Proof by using that weird symbol which means “QED” at the end

Proof by dead thinker who predicted our current impasse with alarming clarity

Proof by reaction gif with unexamined racial undertones

Proof by procrastinating on replying to critics until a time when it would just be weird to bring that old debate up again

Proof by purposefully never replying to critics so as to build up an aura of unchallenged sagacity among your followers

Proof by accelerating the goalposts to .998 c

Proof by how the characters in a novel you read reacted to a situation that was kinda like this

Proof by referencing obscure EU legalese that’s been outdated since 2003 but no one will look up

Proof by referencing a single social science study

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!

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!

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

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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