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11/13/18

Worked on some math homework as soon as I got home from school today, and have so much work to do for AP Gov :( it’s a fun class, but the amount of homework I just received really stresses me out because it requires a lot of time to spend on the assignment, while I have a lot of other things to do for other classes, too). Ugh… I’m hoping I’ll find time to power through it all.

How are all of you doing?

Just as the phrase “what the entire fuck” implies the existence of fractional fucks, the phrase “what the absolute fuck” implies the existence of both positive and negative fucks (or else there would be no need for an absolute value operation). Taken together with the phrase “what the actual fuck” (which implies the existence of imaginary fucks), we may thus conclude that fuckery is isomorphic with the complex field.

how to study anything, really:

1. read up, learn more about this particular subject/topic/skill

2. practice, practice, practice !!!

3. scream

4. cry

5. repeat steps 2-4 until you’re good at said subject/topic/skill

6. congrats you’re now a smarty pants

I have a math textbook that illustrates the concept of geometric progressions by pointing out that if there were to be a single-elimination tournament involving every human being on Earth, we’d only need 33 rounds to determine a champion, and now I’m trying to imagine the tournament that would give every human being on Earth a fair shot.

How to Take Notes from a Textbook

I’m currently facing the dilemma of how to take notes from a textbook. It’s hard to know where to begin or what’s the best information I need to really understand the material I’m reading. I have gathered tips and resources to better decide the best method to use the textbook most effectively.

-Preview. Glance over charts or photos used on the pages. Read study questions or summaries that might be given at the end of the chunk of pages. It preps me for the type of reading I will do and to think about the questions as I read. 

-Read actively. Don’t take notes or highlight as you read. Read a short section before you stop to take notes and highlight. Your first step after you read the paragraph is to highlight a phrase or two that were the important parts that you’ll need to know for future reference. Also, go to the margins (or your post-its) and start writing a question or two for the paragraph. When you’re done with the entire section, go back and try to answer these questions without looking at the book. If you can answer it, you are doing well on recalling that paragraph. This is also a good time to make some notes for class.

-Review. At the end of the reading, write a summary (in your own words) of what you just read. It helps to understand what you retained from the reading and highlight parts you need to review. I also like to go back and try to answer those questions I made in the margin again. The BEST thing I like to do is to answer the comprehension at the end of the chapter. Each textbook has one. Answer those and, if you’re unsure of the answer, ask them during class!

Other tips:

-Try to keep your notes in your own words.

-If something is not making sense, try reading it out loud. That can often help you process the material in a new way.

-Multiply the number of pages you have to read by 5 minutes. That is the amount of time the average college student needs to spend on their reading assignment.

-Writing in the book itself is highly recommended, but if you have some reason for not doing that, you might also want post-its and use those on each page in place of writing in the book.

Resources:

Write Notes, Not Textbooks

How to Take Notes from a Textbook

Justine G. Feather- HOW I TAKE NOTES

What happened after the thought experiments

1. The cat hopped out of the box and wandered off to look for its food bowl, which it knew was around here somewhere. It had no idea how lucky it was. Meanwhile, a single pale ghost peeled of its sheaf of lives and went mewling up until it joined the clouds. It was not until ten years later, and on its last life, that the cat had cause to remember the incident.

2. The younger twin returned from space, grizzled and radiation-burned, still disorientated from the final burst of deceleration. By now the older twin was near death; it had been a long journey. Nevertheless, deep space is not a healthy environment. Thw twins entered the hospice together, and told each other stories of their years apart as far as they were able. It was the twin who had been to space who died first.

3. The accident was widely reported and led to a number of high-profile resignations. Seven people who had been responsible for maintaining the trolley failsafe systems and track security were found guilty of neglecting their duty. They recieved a mixture of fines and prison sentences. The man who had pulled the lever was eventually judged to be innocent, although some held his decision to be politically motivated, and the families of the deceased refused to accept the verdict.

4. The tortoise’s victory was widely reported, and it even signed a small sponsorship deal with a shell polishing company. However, opponents became increasingly reluctant to allow it a head start in subsequent races. Without its crucial advantage, it began losing. The sponsorship deal was not renewed and eventually the tortoise was largely deserted, even by its supporters. It took to performing stunts to try and win back fame, but ended its career in ignominy after a failed dismount killed a passing playwright.

5. Unfortunately, the hotel with infinitely many rooms was found to contain infinitely many cockroaches. It was shut down on public health grounds. The issues involved in evacuating an infinite number of guests were found to be severe, eventually leading to the formation of a tourist singularity which consumed most of the hotel’s host planet and permanently disrupted the orbits in its home system. Fortunately, infinitely many guests also escaped. Their subsequent search for accommodation led to an unusual period of economic growth and hotel-centric culture in that part of the galaxy.

6. The ladder continued through the garage at relativistic speed and slammed into the warehouse behind, converting its considerable kinetic energy into a large explosion. At the inquest, nobody could quite recall why just making the garage slightly bigger had not been considered as a viable option for ladder storage. It seemed that they had all been overcome by a sort of delirium of scientific enthusiasm.

7. They were very nice jars. After the brain-in-a-jar operation had been shut down by horrified authorities, the custodians charged with winding up operations took a few of them home, where they were repurposed as fish tanks, terrariums and fancy dress astronaut helmets.

8. Having finally produced the complete works of Shakespeare, the monkeys were out of a job. Nobody was interested in what they might produce next. They came to the conclusion that they had accidentally typed some morally unacceptable combination of syllables. Subsequently, they used this insight to develop a language and a culture based on being as far distant from that used by Shakespeare as possible. With one exception; the worst insults and most taboo curses were, of course, wholly Shakespearian. Fortunately, Shakespeare had provided a fine selection to choose from.

What to say instead of "trivially"

This comes from a very long list of alternative phrases and words that was used to create “a program that will insert condescending adverbial phrases before any statement in a math proof”. But use it where you will - I’m sure other fields can benefit. Tag yourself, I’m “By abstract nonsense“.

  • By circular reasoning we see that 
  • There is a marvellous proof (which is too long to write here) that 
  • Figure 2 (not shown here) makes it clear that 
  • It is beyond the scope of this course to prove that
  • Only idealogues and sycophants would debate whether
  • The Math Gods demand that
  • For legal reasons I am required to disclose that
  • Remember the basic laws of common sense: 
  • Life is too short to prove that
  • All the cool kids know that
  • Wherefore said He unto them,
  • With God as my witness,
  • As a great man once told me,
  • Galois died in order to show us that
  • It pleases the symmetry of the world that
  • Mama always told me
  • By Euler
  • By Fermat 
  • I know it, you know it, everybody knows that
  • You of all people should realize that
  • The proof is left to the reader that 
  • We need not waste ink in proving that 
  • It would be an insult to my time and yours to prove that
  • I shudder to think of the poor soul who denies that 
  • We don’t want to deprive the reader of the joy of discovering for themselves why,  
  • Barring causality breakdown, clearly 
  • Through the careful use of common sense,
  • According to prophecy,
  • This won’t be on the test, but 
  • When one stares at the equations they immediately rearrange themselves to show that
  • If I’ve said it once I’ve said it a thousand times,
  • Our forefathers built this country on the proposition that
  • By abstract nonsense,
  • My father told me, and his father before that, and his before that, that
  • The burden of proof is on my opponents to disprove that
  • The voices insist that 
  • Assuming an arbitrary alignment of planets, astrology tells us