Math - Blog Posts

I am among those who think that science has great beauty. A scientist in his laboratory is not only a technician, he is also a child placed before natural phenomenon, which impress him like a fairy tale.

Marie Curie

https://www.pnas.org/cms/10.1073/pnas.2001037117/asset/a20f5beb-e260-4f19-864d-3ef17ff18d4c/assets/images/large/pnas.2001037117fig01.jpg

In many ways, scientific analyses of consciousness suffer from the same limitations and constraints as cosmological theories: right right at the outset, certain manipulations and observations cannot be carried out.

Watch "One Man's Mission to Unveil Math's Beauty" on YouTube

Books and bookmarks

although i myself lack the attention required for mathematic philosophy i do respect the field and its practitioners so entirely - in my experience the people who are philosophers and mathematicians both always have such a beautiful perspective on existence and the universe

I'm dead. I used my last brain cells in math class today learning the difference between the sum of cubes and squares.

If I take a while to post, know that it's because of math. I hate math 😭

Doing my nails while learning math because math is hell and painting my nails calms me down

Phosphor! What a blazing beauty! Skeletons running screaming, with remains of skin and limbs illuminating the darkest shadows of our minds. Where we find our deepest dreams and desires. Wonderful phosphor! Bonemarrow, fried in 1000 degrees, are simple calculation: Just like Hiroshima and Nagasaki. Which lives are most valuable? When will it never be ours? Phosphor, enlighting death to a real bye-bye party. Let the skeletons rattle in joy! Let them! #phosphor #lifevalues #whateverittakes #war #priceoflife #decision #logic #party #math #casualties #survival #dance #skeletons #thisisjustapicturenotevenfromarealphosphorbombbuttrytoimaginetakingthedecisiontouseit (...Usual one-off hashtag) #udenfilter #mantelmomento #laurieandthestoryof (-will get to that, and the world will be self-ignited phosphor...) (her: Gellerup, Arhus, Denmark)

The Derivative  Chapter 4: Talk

Chapter 1 <- Chapter 3

“In twenty years of teaching. I’ve never received evaluation comments like these.” Larry complained as we followed my uncle on an afternoon hike. “Boring. Me? Intellectually inaccessible.” 

“I thought we came up on this hike to get your mind off of this ridiculous thing.” Charlie pointed out. 

“I mean, one student even said I’m out of touch with cutting-edge thinking in multidimensional theory. That one alone kept me up at night” Larry explained as we scaled a small incline. 

“The first two seem plausible but the third” I shrugged “don’t let it get under your skin” 

“Thank you young enigma for the jaded advice” Larry murmured. 

“Anytime” I replied with a smirk. 

“Everybody gets bad evaluations now and then. Come on!” Uncle C hurried us along. 

“Yeah, yeah says the professor who never received anything less than a rave” Larry replied sarcastically. 

I chuckled “rave? Really?” 

“Indeed student body favorite practically” Larry informed me. 

“As with any large group, there are responses that cover the entire spectrum. I once had a girl in my combinatorics seminar tell me that I was disorganized and I talked too fast.” Charlie explained as Larry leaned on a branch to catch his breath and I took a sip of my water bottle, wondering how I managed to get dragged out here with these two. 

“Well, that’s an accurate observation actually.” Larry admitted. Charlie gave a mildly bewildered look directed at me and I nodded my agreement “but, generally speaking, I mean, your students love you, whereas mine say my classes put them to sleep.” 

“You’re an exceptional professor.” Charlie reassured his friend. “I should know I took classes from you.” 

“Yeah but you were an exceptional young mind” Larry pointed out as a couple other hikers passed us “perhaps I’ve lost my ability to reach the more typical student”  

“Hey Professor Fleinhardt,” one of the passing boys nodded to Larry. 

“Hey” the physicist greeted happily “How’s it… how’s it… how you… how…” Each attempt made to continue conversation failed on the man’s part as the boys continued to walk either not registering or ignoring the professor's attempts. “See we’re not even in class,and still my students run away from me.” 

“Hiking away technically” I corrected casually. 

There was then the sound of a police siren in the distance “I don’t think that’s it” Charlie muttered from his higher vantage. He began to hurry off in the direction the students had gone. Me and Larry followed. “Right down this way. Hurry!” 

What greeted us was a full scale crime scene. With a coroner's truck, police officers, and others gathered masses of observation. As we got around the corner of a police car I felt my feet freeze to the ground. There was a body laying a couple yards away below the bridge overhead. 

I felt the ghost of rain drops on my skin and felt the family spiking headache rocket through my brain. They were in a red hoodie. It was a boy. But each time I blinked as I began to do so furiously I was switching between this reality and the one of the girl with bright red hair. The rain was picking up, the headache was pulsing. I couldn’t breathe anymore. 

“Abby” I snapped my head around as a hand laid on my shoulder. Charlie was looking at me with concern evident in his features. “Are you alright?” 

I bounced my eyes around the scene. It wasn’t raining, it wasn’t at night, and we weren’t out on that street. I took a couple calming breaths before finally replying “yeah yeah fine” I muttered. 

“You sure?” Charlie asked again. 

“Fine” I reiterated. I caught Larry eyeing me worriedly as well. “Guys seriously I just- I didn’t expect that” I gestured vaguely in the direction of the body I did not need, or want, to look at again.

“Me neither” Charlie murmured in agreement, taking his hand off my shoulder and his features turning to one of contemplation as he looked at the bridge.

“Very well, you were just exhibiting the common signs of what one might call a panic attack” Larry voiced. 

“I’m fine, really just rattled” I tried to sound convincing. From the look on Larry’s face he wasn’t convinced but he dropped the issue and for that I was glad. 

_________________

3rd POV. 

Don sighed as he got out of his car and headed into the FBI building. His phone beeped as he made his way through the lobby and he looked to see it was Abby. “hey kid what’s up?” he answered trying to sound like he had some energy. 

“Am I going to the apartment or Grandpa’s house after school today?” she asked, sounding about as tired as he felt. 

Don thought about it for a minute “go on to your Grandpa’s alright I’ll call the school clear it up”

“So you are looking into the guy who jumped off the bridge?” Abby asked as Don clicked the elevator button. 

“Just a little for Charlie’s sake” Don muttered then a thought occurred to him. “Wait how do you know about this? Charlie talk to you?” 

“Uh… I was there when Larry and Charlie came upon the scene” Abby admitted. 

Don let off a breath. “You alright? I mean that can be some scary stuff.” he couldn’t help thinking about his first jumper case.

“Yeah I’m fine I just wish people would stop asking” Abby grumbled snappily that did not reassure Don at all of her being fine. 

“Abby, it's okay if some of this got to you” Don reassured as the elevator opened and he got on. 

He heard her sigh on the other line “I know it’s just… it’s not what people think it’s about and it’s hard to talk about” Don was confused at the answer but before he could probe more she was continuing “I have to get to class now. See you later” 

“Yeah okay, bye” Don muttered before she hung up. He let off a breath pocketing his phone. He was going to have to deal with that later, or maybe it would be better to let her work through it on her own? He was still contemplating these thoughts when the elevator opened and he was walking out. “Dad? What are you doing here?” he questioned seeing the man. 

“I called you; you hadn’t called me back” Alan explained. 

“Well, I would’ve eventually” Don assured “is everything okay?” 

“Yeah, yeah, sure.” Alan muttered in reply “I need you to come to dinner at the house on Wednesday. Um, I have a date” 

“Oh yeah? A date” Don tried to sound encouraging. “Hey, well, that’s good. With who?” 

“Oh, someone Art knows from yoga” Alan explained. “Yeah, her name’s Jill. he says she’s smart, she’s funny, and, uh, quite flexible” Alan spoke the last compliment to the woman with a hinting look and slight chuckle “So I.. we’re having dinner at the house and I would like you to be there.” 

“Wow, hey, no.” Don began to quickly try and work his way out of the perceivably awkward dinner. “Just take her somewhere low-key. You’ll be fine” he suggested leading his dad back to the elevator. 

“Look, it’s my first date in over 35 years.” Alan grumbled “I would like ‘memorable’ instead of ‘low-key’” 

“‘Low-key’ and ‘memorable’ aren’t mutually exclusive.” Don objected “you know what my favorite date ever was? Pepperoni pizza in a laundromat.” 

“Yes, which explains the conspicuous absence of grandchildren.” Alan muttered then thought “well I guess planned grandchildren.” Don sighed and gave his father a look “So, Wednesday, 7:30. Bring a date?” 

Don shook his head “I can’t. Dad, I’m busy, and I don’t anticipate meeting anyone between now and then either. By the way your unplanned grandchild is heading to your house after school in” he glanced at his watch “40ish minutes so you should get going.” 

“Of course she is” Alan sighed “No, but anyway I just want to make it a couples thing, you know? Look like, seeming like…” 

“Well I don’t think-” Don cut off as the elevator opened with a ding revealing Terry standing there. 

“Hi” she greeted Don “hey Mr. Eppes” she also greeted Alan with a mild curiosity to his presence evident on her face. Her and Alan switched spots as she exited the elevator and he entered. “Good to see you” 

“You too” Alan agreed as she walked away then he turned to his son “you’ll think of something” he made a suggestive nod after Don’s partner. The FBI agent sighed as the doors slid shut and he walked away. 

________________

Abby POV. 

I headed into my grandfather’s house tiredly. I hadn’t slept last night after seeing that boy the other day. Images of him and another memory from months ago swapping places and intermingling in my mind. It was like my brain was caught in a cyclone. 

“Abby? You here?” Gramps called from his chair as I came in the door. 

“Yeah” I called back. 

He looked over at me, glasses perched on his nose. “You alright you look beat” 

“Just tired,” I admitted taking a seat next to him. Tossing my bag on the floor. 

“Rough day at school?” he quizzed. 

I shook my head “trouble sleeping. Charlie didn’t tell you? A CalSci student committed suicide yesterday. Larry, Uncle C, and I stumbled upon the crime scene while going for a hike” I explained. 

“Oh my word” Alan sighed “that’s horrible I mean I saw the news. That poor boy’s parents but you seeing that. I’m sorry” 

I shook my head “no I’m fine it’s not-” I swallowed my words. 

“Not what?” Alan prompted my abrupt stop. “Abby, listen if this is making it hard for you to sleep I don’t think it’s nothing. If you try talking about it maybe it’ll help” 

“It’s just- it’s hard to explain sometimes.” I voiced carefully. 

Alan put down the paper he was reading and removed his glasses shifting in his seat to face me. “It can’t hurt to try and explain it Abby” 

I bit my lip but let off a sigh collecting my thoughts for a moment “because of my AEM, my memory thing, I- I get these- these attacks. It’s my memory but it’s things I don’t want to remember don’t choose to remember. And- and these intrusive memories they just- sometimes in the moment I can’t keep them straight from reality it’s it’s-”

“It's scary,” Alan finished my sentence, reaching out to give my hand a squeeze. I nodded “and these attacks they’re like panic attacks? Triggered by something?” 

“Yeah they’re a lot like that” I replied feeling oddly better now that someone knew about it. “My blinders and music help calm me down” I told him, finding it easier to continue now that I’d started. Alan nodded taking in the information easily. 

“So seeing that scene, this boy, it caused one of these attacks?” he deduced. I nodded “your mother?” 

“No” I objected quickly, opening my mouth to say more but feeling it cut off by visions of red hair and pools of water on the ground under street lights. I swallowed.

“It’s okay if you can’t talk about it yet” Alan reassured me and I looked up at him again “just know when you do I’m here for you so is Charlie and your father. Now you might get tired of me saying this but uh.. Abby you’re not alone and- and if these intrusive memories are a struggle for you you should tell Don about them” 

“I know” I smiled lightly “It’s just-” 

“Hard” Alan finished my thought again “some of the most important parts of life are” 

I sighed knowing he was right “thanks for listening” 

“Of course” he nodded and picked his glasses and paper, back up again. “Oh, uh by the way. You’re going to be hanging out with your Uncle Charlie Wednesday night or otherwise at Don’s” 

“Why?” I asked in confusion. 

“I have a, uh, a date and I’ve asked your father to be there hopefully with his own date.” Alan explained awkwardly. 

I scoffed “Don on a date?” 

“Yes, that’s not a problem for you is it?” the man asked.

“No” I objected but the slight curling in my stomach was telling me internally the opposite. “I’m going to go work on my homework upstairs,” I told Alan, grabbing my bag. 

“Alright” Alan nodded, perching his glasses back on his nose. I sighed getting to my feet and heading from the room. 

____________________

“Let’s see how it does in high winds.” Charlie stated, beginning to type the information into the computer. 

Larry made a humming noise and looked over at me “and what are you reading over there?” 

“Harry Potter and the Order of the Phoenix” I replied. 

“Fascinating” Larry nodded “I have to say I wouldn’t have pegged you as one who read young adult fiction despite your age. I was informed you read quite a leap beyond your level” 

“I do” I answered easily “doesn’t mean I can’t appreciate a good story and relatable characters”

“Fair enough” Larry agreed then made another humming noise of thought “you know young adult literature much like it’s intended audience tends to be underestimated in the long run by people. Such as the young man whose work we are interpreting was ignored by his elders in his warnings” 

I scoffed turning the page of my book “preaching to choir here” 

“School still won’t let you in advanced classes?” Charlie asked. 

“No” I mumbled “I mean they do realize it’s not my fault I missed so much school” 

“Yes, well if you ask me the greatest failing for one who wants to be an educator is to grow up and forget what it means to be young” Larry mused.

“How profound” Charlie muttered sarcastically “now can we focus please?” 

“Why of course” Larry agreed, shooting me a look before I turned back to my story. 

__________________

“Hey Chuck what’d you find?” Don asked, coming into the office alongside Terry. 

“The problem is wind” Charlie explained, shuffling over to where Larry sat and I stood behind the computer. 

“Wouldn’t they have already tested for stability in winds?” Don questioned, dubious. 

“Engineers test structural response to gusts along two axis north to south and east to west.” Larry informed 

“And, in those cases, a single side supported by two corners bears the brunt of the wind load” Charlie carried on the explanation. 

“Think of a straight-on wind as two cars colliding” Charlie posed the analogy “in contrast-- excuse me--” he shuffled Larry out of his seat to take control of the computer “quartering winds hit a building at an angle, exerting pressure on two sides anchored by a single corner.” 

“It’s like one target, two bracing going to two targets one bracing” I voiced with a shrug. The non-mathematically inclined people still looked mildly confused. 

“Imagine a car getting hit from the back and the side simultaneously.” Charlie continued with the car analogy. 

“Can those winds cause structural issues?” Terry inquired. 

“Our tests showed that the Cole Center is sound for head-on winds of up to 90 miles an hour” Charlie showed them the simulation “but here’s what happens with quartering winds as low as 60 miles per hour” he plugged it into the simulation and began to narrate what we were showing them “first the steel frame bends beyond its limits and stays bent. Then this strained steel hardens and becomes brittle. Under continuing stress this steel will fracture, causing complete structural collapse.” the computer beeps rapidly as the simulation reached its third stage “Finn Montgomery found the problem in the building’s deflection. He suspected the effects would be serious.” Charlie stated as the digital building collapsed “he was right and he may have paid with his life” 

“Alright we’ll bring it up to Cole, get people out of the building to start then start looking to see who’s responsible” Don assured. 

“Thanks Don” Charlie nodded. 

“Yeah well we still gotta see what Cole says, alright” Don told his brother. 

“Sounds like an early day tomorrow” Terry voiced “I better get home then” 

“Yeah, thanks for coming tonight” He told her. Shuffling away from those of us still testing the math on the simulation by the computer. 

“You’re welcome and it was for the most part enjoyable” Terry told him. “See you tomorrow. Have a good night you three” she called to us with a wave. 

We called back fair wells in response as she headed from the office. “Alright kid we should get back too. Got school in the morning” 

I heaved a sigh “right coming. Night Uncle C, bye Larry” 

“Night,” Charlie called, not looking up from his computer and Larry offered a wave. 

I grabbed my bag and books and followed Don out of the office. “So you and Terry had fun?” 

“Uh yeah more than dad anyway. Bit of a train wreck for the poor guy” Don explained. I made a humming noise of acknowledgement wondering what had gone so wrong to qualify as a train wreck. “Listen, I know you said you were fine with this whole thing but- uh you know I’ve seen enough to be able to tell when someone’s not fine and it’s okay if you need space to deal with it or whatever but uh, I just I guess if you have to talk about it.” he kinda trailed off with gesturing hands as words failed him. 

“We really suck at this communications thing” I determined. 

Don scoffed as we exited the building “yeah well at least we’re trying” 

“True,” I murmured and took a deep breath. “there is something I need to tell you. There’s this thing I have. Gramps correlated it with panic attacks but it’s part of my memory they call it-” 

“Intrusive memory right?” Don interjected. 

I snapped my head up to look at him “you know about it?” 

The man nodded “yeah it was in your medical records. Social worker warned me about it. I am your legal guardian if you recall” 

“Oh” I murmured realizing I probably should have realized he knew about this sooner “so why didn’t you say anything about it?” 

“Well, I figured you’d talk to me about it when you were ready or at least not until you had an attack or something” Don explained awkwardly. 

A small smile came to my face “thanks” 

“Hey you’re my kid. As new as I am to this parent thing I can stand to get a couple things right” he told me. 

I laughed lightly “okay” 

“Okay” Don nodded “now let's get out of here it’s late” he pulled me into a small side hug arm around my shoulder as we headed toward the car and I couldn’t help but keep smiling. 

________________

“Yo!” Don called coming in through the back door. 

“We’re in here.” Alan called in reply. 

A moment later Don came in with a box setting it on the dining room table “Hey, All right, FBI accountants went over all of Nevelson’s financials, and these are all the documents that relate to the foundation. Our people could find nothing.” 

“So why didn’t you have Charlie look at the records in the first place?” Alan inquired as I continued to eat quietly. Saving my ‘I could help’ pleas for later. 

“The FBI has a team of excellent forensic accountants.” Charlie objected. 

“I know.” the elderly man clarified “but it wouldn’t be the first time you find something that they missed.” 

“You know, a lot of mathematicians do have eidetic numerical memory” Charlie explained “similar to Abby’s ability to remember everything she encounters visually only specifically geared toward numbers that are repeated and in patterns”

“So my memories better” I commented with a smirk. 

“Your visual memory yes” Charlie gave me a look as he got up and began looking through the papers. 

“So I could be able to help,” I pointed out. 

“Yes you-” Charlie cut off looking back at his brother “but you probably shouldn’t” 

“Yeah and I’m saying you’re not going to,” Don declared as Charlie took the box and headed into the foyer. 

I groaned rolling my eyes “you know once I turn eighteen I’m going to get my clearance and then you won’t be able to stop me”

“Yeah well right now you’re going to help me with dishes while he works on that” Don decided collecting plates “come on” he chided and I gathered my plate and cup as well as Alan’s.

“No here I got it uh…” Grandpa objected and glanced at my dad’s back who was walking into the kitchen as he stood up. “I want to talk to Don for a second alright?” 

“Alright but if I happen to stay out here and see Charlie’s stuff for the case..” I trailed with a pointed look. 

“Fine I’ll cover for you. Deal?” He replied. 

“Best grandpa ever” I smiled and he hummed with an amused smile on his face as I turned and headed after my uncle. 

_______________

3rd POV.

Don looked over his shoulder as he entered the kitchen and was surprised to see his father following him rather than his daughter. “What happened to Abby?” 

“She had homework I made her go work on it” Alan replied “you know she’s stubborn about that stuff puts it off” Don let off a humming noise his instincts of suspicion kicking in “mainly cuz I wanted to ask you about something.” 

“What?” Don gave his father a look as he put the dishes in the sink. This made more sense. 

“You’re best date ever was with your partner?” Alan inquired and immediately Don realized why Alan had pestered Abby away before asking. 

“Dad, please” 

“No, it’s just a simple observation.” Alan defended as they put away the food. “I mean if it was so great why did you split up?” 

“It was an academy thing” Don explained “we got posted to different places. We had our careers to concentrate on.” 

“So now you’re in the same city, same careers” 

“Same office” Don cut his father off “which, in our case, can be a dangerous thing.” 

“Your mother and I met at work.” Alan posed.

“In the lunch line.” Don pointed out “Look, Dad, Terry and I have to see each other every day. You know? We have to look out for each other.”

“So that means any trust issues are already behind you.” the father suggested. “Plus Abby seems to like her” 

“Look, just because you’re eager to start dating again-” 

“Eager? Are you kidding me?” Alan cut his son off exasperatedly “you saw me last night. I know, I know, I know I got to get back into it. Your mother said I should meet new people after she was gone.” 

“Well, that’s right. That sounds like her” Don agreed. 

“I know she made me promise.” Alan sighed “I mean, she knew that, without a push, that I might not do it. So she pushed” Don nodded considering his father’s words. “And remember Donnie you’ve got more to think about than just yourself now” 

Don sighed “yeah I know” he looked out the kitchen door toward the space in the house his daughter was somewhere. 

“Being a parent is never easy and it’s twice as hard to be a single parent doing the work for two” Alan voiced. Don let out a breath and the two men were silent for a moment. “Just consider this your push” 

A moment later Abby popped her head into the kitchen. “Me and Charlie found something in the records.” she announced.

“You and Charlie?” Don questioned giving her a stern look. “What happened to homework?” The teen grimaced slightly and shot a look to her Grandfather who held his hands up in surrender. Don sighed “show me what you found” 

Abby led him out to the table in the foyer where Charlie had the records spread out under a light. “You’re never going to believe this,” Abby murmured. 

“Believe what?” Don asked, confused. 

“Fake people” Abby stated as if that were clearer. 

Don looked to his brother “Now, here is a list of workers employed in building the foundation”

“And?” Don questioned. 

“And a lot of them don’t exist.” Charlie stated “yeah. There’s a preponderance of fours and sevens in the union ID numbers, which could be due to accounting codes, except they show up in the overtime hours like, 14s and 17s everywhere here, here, and here” Charlie showed Don the various documentation. “These numbers, they can’t be explained by random occurrence. Somebody made them up. They’ve been fabricated by someone who likes these numbers who left behind a pretty obvious pattern.” 

“Fake people” Abby reiterated. 

“Well obvious to you” Don grumbled looking the paper over. 

“People like us” Abby clarified “honestly your forensic accountants should have picked up on it” 

“Here’s a very interesting thing also.” Charlie hurried over to the other side of the table as Don shot his daughter a warning look at her disrespectful tone. “All the, ah, all the workers we’ve identified as fake are listed as welders. Except there aren’t any other welders on the payroll backup.”

“Well you can’t build a foundation without welders” Alan piped in from the tv room “sounds like Nevelson was using a shadow crew.” 

“So how would that work, Dad?” Don asked as Alan walked over. 

“Non-union laborers, usually illegal aliens. They pay them under the table.” the former city planner explained “see, the contractors would use them at night to avoid the unions.”

“So what? Like lower pay, no overtime, medical benefits?” Don questioned. 

“That’s right,” Alan nodded heading back to the kitchen. 

“But people still get hurt,” Don voiced thoughtfully. “And there’ll be hospital records” 

________________

Abby POV. 

“So I am getting right back on that horse” Alan declared as the four of us sat at a restaurant eating. “Not that this lady is anything like a horse.” he added “she’s really quite attractive.” 

“So it’s not a blind date?” Don clarified. 

“No, it’s the butcher that sold me the duck.” Alan explained. 

“No” Don chuckled. 

“Yes” Alan insisted “yeah, she’s very nice and she really knows her waterfowl.”

“Right” Don scoffed. 

“Good luck Gramps” I encouraged. 

“Why thank you Abby” Alan smiled then turned to his younger son “Charlie. Charlie” When the mathematician was only somewhat responsive the elderly man turned back to me and Don “this is not the brilliant thought brood. This is the other brood.” he informed. 

“You alright Charlie?” Don asked. 

“You knew it was a suicide.” Charlie stated 

“No look,” Don objected, shaking his head. “I said from the get-go I didn’t know, but I did suspect.” 

“Despite all the variables and the inconclusive autopsy, and the layers of crime that were uncovered?” Charlie pressed. 

“The fact that the kid exhibited suicidal behavior and then he did it.” Don explained. “It’s Occam's Razor, you know? I mean, the simplest answer is usually the right one.” 

“Occam’s Razor?” Alan questioned. 

“What?” Don gave us looks as we all began to chuckle slightly “I read a book every now and then. I mean I did help in the creation of the biggest book worm I know.” he ruffled my hair slightly. 

“Occam was a philosopher, he wasn’t a mathematician” Charlie pointed out “and what he actually said was that you shouldn’t make more assumptions than needed. It’s the basis of methodological reductionism. So, any given data set,...” 

“And I thought school was done for today” I muttered as Charlie began to scribble on a napkin. Don and Alan just scoffed and let the man go. He needed to talk right now.

Chapter 5 -> 

Today in math class:

[Image description: a picture of a blackboard with math written on it. Below the math is the phrase “Pf: I’m too lazy,” followed by a box that signifies the ending of a proof.]

@johnhocksbur

This isn’t how statistical methodology works.

If you want to be able to generalize the results of your survey to the general population, you have to use some form of random sampling*, you can’t just ask random people on the internet. Twitter polls (etc.) have two main flaws:

1. Response is voluntary, which means that people who don’t care are less likely to answer, and (on questions where this is applicable) people with more middle-of-the-road or less-shocking answers are less likely to answer. 

2. They operate using “convenience sampling,” which is basically what it sounds like and tends to bias the results in favor of whatever opinion is held by the people in the group likely to notice the survey. A political survey on the Fox News website will tend to have more conservative responses than the general population; a sports survey on the Boston Globe website will tend to have more pro-Red Sox responses than the general population; a survey on a Twitter page will tend to have more whatever-the-twitter-users-followers think responses than the general population.

(I did a brief Google search to see if this has been surveyed reliably and didn’t find anything, although possibly I could find something in an academic database. If anyone can find a reliable survey, I would be interested in seeing what the results.)

*This is somewhat complicated by the fact that it is nearly impossible to do a perfectly random sample. Phone surveys in which callers are randomly chosen and the response rate is high are generally close enough in surveys of Americans, although they aren’t perfect.

This is so interesting to me. 65% of people would rather experience rape than be falsely accused of rape.

That’s not quite how averages work.

There are three main types of averages: arithmetic mean (what people usually mean if they don’t specify a type), median, and mode.

The arithmetic mean is calculated by adding up all the values, and dividing by the total number of individuals measured. For instance, if ten people can speak 700 million words (this is a lot of words, way more than in any language on Earth) apiece of an alien language and no one else can speak any, this power would allow you to speak one word.

The median is calculated by ordering the values from least to greatest, then choosing the one in the middle of the list (if there are two, you take the mean of those two). If 3.5 billion people know 700 million words of the alien language, 3.5 billion people know one word, and one person knows fifteen, the median speaker knows fifteen words. This doesn’t change if the 3.5 billion people who know no words all learn fourteen words, because the speaker whose word knowledge is in the middle still knows fifteen.

The mode is the most commonly occurring value. If 2 billion people know 75,000 words, 2 billion people know 3,000 words, and 3 billion people know no words, the modal speaker knows no words. 

tl;dr: Being average will not give you superhuman abilities. If your power makes you human average, the absolute best case scenario has you as good as the best human, and that is very unlikely.

Your super power is that you are average, at everything you do.

Me writing a thesis about the topic I chose

(We’re taking a calculus final. The TA is a well-known Lord of the Rings fan, and we’ve had running LotR jokes all semester.)

TA: “Okay, guys, everyone look at me. We’ve been over the rules, but just in case: no notes, pencil your answers in on the scantron sheet, and graphing calculators only – no more ‘can I just used my cell phone’ nonsense.”

Student: “[TA's name], my calculator batteries just died! What should I do?”

TA: “Here, I’ve got a big box of spares.”

Student: *struggling* “I can’t get this packaging open…”

Student 2: “Here, I’ve got a pocket knife.”

TA: “And I’ve got a pair of scissors if you need them.”

Student 3: *from the back of the room* “OR MY AXE!”

(Everyone starts laughing.)

TA: “The only axes allowed on the exam are in the graph section.”

(Everyone groans.)

TA: “Oh, come on, you’re in a math class. Deal with the math jokes.”

(The professor enters with a stack of exams. With him are two exam proctors.)

Professor: “Tolkien jokes already, [TA's name]?”

TA: “Hey, I didn’t start it.”

(The professor starts handing stacks of exams to the TA and proctors.)

Professor: “But I’m about to finish it. [TA], take these exams down the left flank. [Proctor 1], follow the desks down the center. [Proctor 2], take your exams right, along the wall.”

(At this point, many of the students have realized where this is going: Theoden’s lines from ‘Return of the King.’)

Professor: “Forth, and fear no problems! Solve! Solve, students of calculus! Points shall be taken, scores shall be splintered! A pencil day! A red-ink day! Until three thirty!”

(The professor pulls out a pencil, holding it out like a sword, and runs down the first row holding it out. Students hold up their pencils, hitting his as he passes.)

Professor: “Solve now! Solve now! Solve to good grades and the class ending! MAAATH!”

Entire Class: “MAAATH!”

Professor: “MAAAAATH!”

Entire Class: “MAAAAAATH!”

Professor: “Forth, exam-takers!”

(The entire class rises to their feet and gives him a standing ovation. A week later, we get an email from the professor.)

Professor: *at the end of the email* “PS: I appreciate all of you who wrote in their evaluations that I was the one professor to rule them all, but the best one yet was the student who called me ‘Mathrandir.’”

Repost @dark_____sky___ ---------------------------------------------------- ❤️ Like! 🍎 Follow @_space___lover_ 📜 Share with math lovers! 🔊 Turn on post notifications! ---------------------------------------------------- #isaacnewton #newton #principiamathematica #physics #math #science #engineering #scientist #theoretical #applied #theoreticalphysics #quantumphysics #meme #memes #physicsmemes #mathmemes #sciencememes #dankmemes #mathjokes #physicsjokes #physicsfun #sciencehumor #facts #astro #cosmology #reddit #scifi #pi #numbers #calculus https://www.instagram.com/p/CSWw5L7DeZh/?utm_medium=tumblr

Hear me out cake (updated)

Signed by the man himself (much thanks to Ford4D).

Inspired by this.

Mode7 EP Select - 1381_03 by mikecreighton on Flickr.

The Man Who Almost Broke Math (And Himself...)

Veritasium @veritasium

Georg Cantor

3 March 1845 - 6 January 1918

en.m.wikipedia.org

Georg Cantor - Wikipedia

Infinity

en.m.wikipedia.org

Infinity - Wikipedia

03/04/2025, thursday 3 april 2025, 01:10 a.m, indore, madhya pradesh, india.

Vedic Mathematics

en.m.wikipedia.org

Vedic Mathematics - Wikipedia

18/05/2024, saturday 18 may 2024, 05:38 p.m, indore, madhya pradesh, india.

This was rather humorous.

As a repeated jellybean counting contest winner, I wanted to share with you all my secret so that you can win prizes too this holiday season.

As a young child and adult, I have used this method and won each time. You can guess the volume in this odd unit using these steps.

Identify the shape of the jar. Is it a cube, rectangular prism or a cylinder?

What I'm describing below is for a cylinder, the most common jar shape.

First, obtain RADIUS: If you are allowed to touch and pick up the jellybean jar, you can count jellybeans in a straight line across the bottom of the jar. If you are disallowed from touching the container, just count across the the top in a straight line. The full line across of this circle is known as the diameter. Half the line across is known as the radius. You can count all the way across and then divide in half. You may be cutting the jellybean in half and get a decimal when you do this. No problem.

Second, count your HEIGHT: This is the easy step. You just count the front face of the container. Count jellybeans in a straight line up the side of the jar. This is your height.

Plug and calculate: For a cylinder jar, your volume can be found by calculating 3.14 x RADIUS² x HEIGHT.

So multiply your radius first since PEMDAS tells us the exponent needs dealt with first. Squaring a number is just that number multiplied by itself. After you have that, multiply by pi and by the jellybean height.

The answer you get could be a fraction or decimal. More than likely, the person who put the jellybeans in the jar did not include halved beans. So round up your number if it ends in .5 or higher. And round down to the nearest whole number if it ends in .4 or lower.

**If you have a complex jar shape, mentally cut the jar where the shapes change! Then calculate using the different volume formulas.

I hope this helps someone win a gift card or impress someone at a Christmas party!

exam season is in less than 100 days , mocks are soon (and i’m fucking screwed)

21:05 - Wednesday 16th February

SOOO IM GONE. - french mock tommorow, i’ll likely do foundation french (which i’m not too bothered about - makes sense since i can barely speak my own language let alone learn another one) je ne suis pas parle francais

- mock exams on the first week of March - that includes every subject, HOPEFULLY, i can do further maths and maths and do them well.

- ENGLISH IS A MESS.  i haven’t even STARTED macbeth and i need to cover it in a week and a half in time for the literature mock - holy shit don’t even get me started on english language - story writing can suck a dick, i’d be the sickest damn fantasy author ever to the point i’d boil my spaghetti in JK Rollings tears BUT EDUQAS REQUIREMENTS ARE THE MOST IMAGINATION LIMITING THING - it’s literally like non-magical harry potter went to a public school. - math, math, MATH - so i got dropped from set one recently, but i was given the chance of a two week trial and if i did good i’d move back up, ends in two days so wish me luck! haven’t posted lately due to being real busy but i thought i’d give you all a lil study update until next time Amimi

“I felt I was an accepted team member. It was a great experience and a unique opportunity.”

Ruth Ann Strunk, a math major, was hired in 1968 at NASA’s Kennedy Space Center as an acceptance checkout equipment software engineer. She monitored the work of contractors who wrote the computer programs designed to check out the command module, lunar module and the Apollo J mission experiments. These experiments were conducted aboard the service modules on Apollo 15, 16 and 17 by the command module pilots. 

“I am proud of the advancement and the number of women who are working and enjoy working here,” Strunk said. “It was a wonderful opportunity NASA afforded me during Apollo that I have been able to use ever since.”

Remember the women who made #Apollo50th possible.

Follow Women@NASA for more stories like this one, and make sure to follow us on Tumblr for your regular dose of space: http://nasa.tumblr.com.

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