smart math

When anyone tries to tell me how much better education was “in the good old days”.

we’ve established that julian is 110% slytherin so what about the other blackthorns?

Types As People I Have Met
  • ENTJ: Wants to be a history professor, IS AMAZING AT HISTORY like she even beats mE sometimes and I'm the history queen. She can debate really well. I like her.
  • INTJ: Also wants to be a history professor (what is it with you NTJs?) and really egoistic and surprisingly shallow about relationships and...gross...but he's the smartest person I know. Like he wipes the floor with your brain if he doesn't like you.
  • ENFJ: Acts cute and feminine and has a soft voice until she wants to be loud and then EVERYONE IS SHOOk because she's a great speaker and is GORGEOUS. Great performer and she loves Hamilton!!
  • INFJ: Basically an agoraphobic but really, really insightful. Majored in psychology. May be a psychic. One of the absolute coolest people I know and is also my mom.
  • ENFP: Adores ENFJs and one of my best friends. Cries over web comics and fictional characters. Has big dreams and hardly ever sleeps.
  • INFP: Angel. Romantic, sweet, pure soul. Just wants to be loved and be happy. His own emotions torture him and it's so sad.
  • ENTP: Compulsive liar that makes really corny jokes, gym junkie, thinks he's the CEO of NASA. One of my best friends.
  • INTP: Sarcastic-ist person you will ever encounter. Always wears an orange hoodie and plays his DSi on the nearest park bench. Hates weebs but he is one. Super smart but is lazy so he gets bad grades.
  • ESTJ: Thinks his word is gospel. Salesman who knows how to toy with his words to get you to do anything (his Te-Ne is IMPECCABLE). Likes Star Wars and old western movies and AC/DC. Also my dad.
  • ISTJ: Loves other people's drama and has the coolest fashion style. Hates hugs and if you break a rule she breaks your nose. Fierce woman. She's awesome.
  • ESFJ: Wants to be a nun or a teacher or both. Pure human soul. Tries to be as plain as possible but she still is always so pretty because she's so nice. Nods fervently during lectures and tells people they're beautiful all the time.
  • ISFJ: Surrounded by STPs and yet still lonely. Best friend is an ENTP, me. Thinks I'm a genius. Wants to marry an ISTP. Staunch Catholic. Addicted to rules and moral codes. Super, super sweet.
  • ESFP: Always has friends over?? Like they must live in his backyard. Wants the spotlight on him all the time. Always gets lead roles in plays. Is a secret nerd who loves conspiracy theories.
  • ISFP: Weeb who has ISFPs as parents and an ISFP gf. Really pretty, as in she's a model. Always has a different color hair. Good morals and is religious. Hates fighting. My favorite cousin ;)
  • ESTP: Plays it off like he doesn't care; he actually cares. Never does his homework. Attached to his ISTJ girlfriend like she hung the moon. Really romantic. Makes bad jokes. Bad at sports but can't stay away from them.
  • ISTP: Wants to be a construction engineer. Low talker and a slow talker but has a really awesome style. Really smart. Math genius. Nice but can also be SAVAGE. Laid back. Twin brother is also an ISTP.
How To Study For a Math Test

Honestly, most people don’t study for a math test. Mostly because there’s almost no actual information to study for. And there’s no way you’re going to give yourself any extra work by giving yourself more problems right? Well I myself am not really an all-night study person (yet) and I will share how I study and other methods of studying for a high school math test.


1. NOTES: (Most common) Listen, I take notes for in-class purposes but I don’t really use them otherwise. Some people worship their notes. It really just depends on how you learn. If your notes are full of helpful tips and examples, then definitely read over those.
2. ASKING: Don’t ever be afraid to ask a teacher for help on a certain problem. They’re there to teach you obviously. Even if you’re socially awkward like me, you can still ask them. It’s preferred to ask a teacher sometime before or after class.
3. PROBLEMS: Although it may come off as extra work, this CAN help you, especially if it’s the night before the test. Find some problems in the book and try to work them out. You don’t necessarily have to take out paper and work them all out if you don’t want to. You can simply just think about how to solve the particular type of problem.
4. SKIMMING: (My personal way of studying) Open your textbook and flip through the chapter you are currently studying in class. Skim the information and take note of any key concepts or examples. Look and see how each example is worked out and why. You can also skim your homework to see how problems were solved earlier.
5. FLASHCARDS: This really depends on the type of class you’re taking and how you learn. If you’re a more English/Foreign Language oriented learner, this could help. Make some flashcards on chapter vocab and formulas and study them.
6. GROUPS: Why not make math fun (If not already)? Do some problems with friends and you can definitely stick in some information into your brain. Friends can also help you with problems if a teacher is unavailable.

You CAN study for a math test, believe it or not. Remember to ask questions if you’re confused so you can pass that test!

Bruce Wayne headcanons:

-is forever socially awkward

-had a lot of “dates” but Selina was always his one true love and he respected that she didn’t want to be in the billionaire spotlight

-didn’t know how to interact with Dick at first because he had never had any friends as a child or siblings

-has a very good memory and is attentive to details

-followed Alfred around everywhere when he was learning to crawl and crawled after him wherever he went

-followed him around as a toddler too

-while Alfred cooked, Bruce would sit up on the counter and watch him when he was very small

-helped Alfred cook standing on a chair until he was tall enough to see over the stove/counter

-loses his virginity to Selina Kyle (naturally)

-truly bonded with Dick after he found Dick crying in the living room late at night after patrolling. Dick had been crying often but was too shy/awkward to come to Bruce or Alfred about it

-didn’t know how to interact with Jason at first because Jason was a lot like him and didn’t like being coddled

-is more like Jason than any of his children (this is why they butt heads)

-is a much better and disciplined fighter than all of his children (including Damian who was trained by the same person, but didn’t have the early training from Alfred)

- was trained to fight by Selina, Alfred, and Ra’s Al Ghul which gives him a much more complex mixture of hand to hand combat

- considers Alfred his father (even though he loved Thomas, but the older he gets the less he remembers about him) but also has a fatherly bond with Jim Gordon and Lucius Fox

- gives Oswald Cobblepot more leeway than other villains because of their history (Cobblepot has no real malice towards Bruce Wayne)

- bonded more easily with Tim than Dick and Jason at the start of their relationship

-tends to baby Tim more than his brothers, even though Tim is more mature

-is very smart and enjoys math, science, and history

-views Barbara Gordon as family because of his history with Jim Gordon

-knows how to cook, clean, sew, and dance thanks to Alfred

-legally adopts Dick and Tim and was in the process of finalizing the adoption of Jason before he was killed by the Joker

-is very supportive of Tim being gay, but wary of Kon because of how much stronger he is than Tim

-is not supportive of Tim quit college his first year

-pretends not to be supportive of Dick being a cop, but is secretly proud

-secretly adds money to Jason’s bank account every now and then

-is horrified (like Hank Hill level horrified) when he finds Stephanie’s underwear or feminine hygiene products in one of the bathrooms

-while getting ready for big public swanky events, Dick and Tim often end up redressing Bruce and fussing over his hair and cologne

-enjoys working out with Dick more than any of the others. It’s their bonding thing

-enjoys doing research with Tim more than any of the others. It’s  their boding thing

-despite being Batman, Bruce is incredibly awkward, sweet, and caring. When he asks someone “how are you” he genuinely wants to know they’re okay

-will forever be Alfred’s baby, no matter how old he gets

-keeps all of the boys’ first Robin uniforms. It is the Batman equivalent of keeping baby teeth

-loves it when all the kids are home and checks on them when they’re asleep in their rooms as if they were still little

-has difficulty bonding with Damian because Dick took over the fatherly role in his absence so Damian is more attached to Dick

-bonds easily with Helena because she is the one and only child he knows from birth

-picks Helena’s middle name “Martha”

-has a fairly decent relationship with Oswald Cobblepot (as Bruce Wayne)

-chooses Tim as his heir to Wayne Enterprise because he knows it would interest him more than Dick or Jason

-has only seriously fought two of his children-Dick and Jason, when they were becoming out of control teenagers

-enjoys having a large family and lots of children because he was a lonely, only child

-does not visit his parents’ grave until Dick is in his care. Before that, he was too scared he wouldn’t be able to handle it

-over the course of their relationship, asks Selina to marry him numerous times

-Selina says yes when Helena is already four

-because Selina hates the spotlight, the marriage is done through the court and only a small reception is held at the manor. Bruce’s sons are his groomsmen and Dick is his best man

-Despite being socially awkward, Bruce is a suave SOB when it comes to women, but he only has eyes for one

Things INTPs Love

Riddles
Intellectual silliness (epithet of the INTP)
Loud neutrality in arguments
Nonverbal indications of boredom
Math
Telling you how smart they are
Telling you how smart they think you are based on how much less dumber you are than they are than other people are
Being overly complex

A mathematical challenge.

In 1929 in Göttingen, a challenge to express any whole number using the number 2 precisely four times, and using only well-known mathematical symbols, was introduced. 

The first few numbers are easy:

1 = (2 + 2)/(2 + 2),

2 = (2/2) + (2/2),

3 = (2 x 2) - (2/2),

4 = 2 + 2 + 2 - 2.

The game became much more difficult even for Göttingen’s finest mathematical minds. Hundreds of hours were spent playing the game with higher and higher numbers - until Paul Dirac found a simple and general formula enabling any number to be expressed using four 2s, entirely within the rules. He had rendered the game pointless. 

Dirac’s solution relies on a basic property of logarithms: 

and is

where the number of radicals is exactly n square roots. 

One may think that Dirac killed the game using only three 2s. Each symbol in the formula is very common in mathematics, so Dirac’s solution is still within the rules of the game. 

Content inspired by The Strangest Man by Graham Farmelo 

“What are those?” Eleven asked, looking at the bundle of dark red flowers in Jonathan’s hands. 

“These?” he held them out to let her look closer, “They’re roses. A special kind of flower for Valentine’s Day.” 

“Why are they special?” Eleven tentatively brushed a fingertip against the soft petals of one of the roses. 

“Because you get them for a girl you really like, the way I really like Nancy.”

“Love.” It was a statement, not a question. Eleven may not have been the best at speaking, but she was certainly good at feeling. Jonathan’s cheeks turned almost as red as the roses in his hand. 

“Yeah,” he ran his fingers through his messy hair, “I guess so.” 

“Pretty,” Eleven smiled. Jonathan reached into the bouquet and plucked one out, handing it to her. 

“Careful,” he said, “Sometimes the stems have thorns.” 

“But they’re not for me,” Eleven hesitated, her hand hovering over the stem.

“This one can be,” Jonathan assured her, “Like you said, they’re for girls you love. And I love you like you’re my little sister.”


An excerpt from a Valentine’s Day fic I wrote a while back. 

Do you think The Boss majored in Business during their time in college cause I do

I think The Boss is actually really smart. I mean, English is boring as hell to them but guys they run a fucking city. Two cities. Do you know how much math that is? And the explosives, damn. Do you know how much science is with that? They run an empire. If you wanna count SR4 then they also ran a country and a entire fucking civilization.

Sure, their ethics are a little sideways. Their people skills are as blunt as a dead knife and they have no filter what so ever but The Boss is a genius.

They probably got honor roll but never cared, they probably got a high I.Q. but they don’t believe in your intelligence being measured and if you know they’re real name you could probably find it on a National Honor Society somewhere or even on the Deans list.

Guys the Boss is a fucking genius but doesn’t care.

Being smart doesn’t just mean that you’re smart in maths, sciences, history, whatever. You know all about Sherlock Holmes? Damn, you’re smart. You can memorize theories or come up with your own? Smart. You know Harry Potter by heart? Smart. You know about this and that? Smart. You do not have to be a genius in one subject to be considered smart. You’re smart in your own ways. Remember that.