A Lesson in Applied Mathematics
Hello, Christopher Sawyer.
Chris sat bolt upright in bed, fumbling at his side table for his glasses, and then casting his panicked gaze frantically around the room. His night light shone a warm, yellow glow on the dirty clothes scattered across the hardwood floor and the inoffensively gray walls covered in posters of Billie Eilish and MGMT. But he was all alone. Heād been on the verge of sleep, so maybe he justā¦Ā
Excuse me, Christopher, I apologize for bothering you. Is this a bad time?
Chris jumped up onto his feet this time and looked under his bed: nothing. He tiptoed to his closet next, cursing the wood squeaking beneath his little feet, and pulled open the door: again, nothing.
āH⦠Hello?ā he finally asked aloud, his enormous whisper ringing out in the quiet room.
Yes, Iām here. Are you able to do me a small favor?
Now that his wits were more about him, the voice sounded like it was coming from everywhere, but also nowhere. Maybe it wasnāt even sound at all.
āW-who are you?ā he asked, tentatively. āWhere are you?ā
My name is Emily, and Iām⦠Well, Iām far away from you. I was hoping you might help me.
āAre you a ghost?ā he asked. He licked his suddenly dry lips. āOr a... monster?ā
There was a short pause before the voice returned.
No, no, donāt worry. Iām alive, and I donāt mean you any harm.
Chris narrowed his eyes. āYou know this is sus one hundred, right? Are you going to kidnap me or something?ā
Definitely not, I promise. You donāt even have to leave your house. One quick favor, and then I promise youāll never hear from me again.
āThatās exactly what a kidnapper would say!ā Chris declared.
Have you ever met a kidnapper? āUmmm⦠no.ā Then how do you know what they would say? āEveryone knows. Theyāre all over the internet.ā
Of course. The internet knows everything.
āIām 11, but Iām not an idiot,ā Chris declared. āI can tell that youāre making fun of me, you know.ā My sincere apologies. I do have to admit that a kidnapper would be unlikely to admit their intentions. They would probably say something like, āIāll give you a ride homeā, or āI have candy in my vanā.
āHow do you know? Have you ever met a kidnapper?ā Chris asked, mimicking Emilyās aloof tone.
...Not in person, no. āHah!ā he declared, triumphantly.
Okay, you got me. Neither of us know any kidnappers. But that means that because I know myself, and I must not be a kidnapper.
Chris pursed his lips and folded his arms across his chest. After a moment, he blew exasperated air out of his nose. āFine. I guess⦠I guess youāre right.āĀ
Excellent. Now, Christopher, I was wondering if you might do me a small favor.
āChris,ā he said.
Iām sorry?
āMy name is Chris. People only call me Christopher when Iām in trouble. If I help you, I wonāt get in trouble, right?ā
Of course, my apologies again, Chris. No, youāre not in trouble, and I promise that if you help me, you wonāt get in any trouble. I just need you to read a book downstairs for me.
āYou want me to read a book? Ugh.ā
You donāt like reading books?
āNo way. Theyāre too long. I get bored.ā
I used to love reading books. Perhaps youāll like them when youāre older.
āHow old are you? I bet youāre super old.ā
Iām 34 years old.
āYikes, I was right, youāre old as dirt. What are you doing talking to a kid in the middle of the night?ā
Is 11 pm too late? I donāt have any children, so Iām not really sure what time kids go to bed.
āYeah itās late! I was almost asleep and you legit scared me out of bed.ā
That wasnāt my intention. I just needed some information from a book thatās downstairs in your house. There are no other copies, and your parents are currently asleep, so I couldnāt ask them.
āNormal people just wait for the next day.ā
Do I seem like a normal person to you? āI... guess not,ā Chris said, grudgingly. āFine, whereās this book?ā
Itās in your momās office.
Chris sighed loudly and exaggeratedly. āAlright. Hold on.ā
He slipped his feet into his Adidas sandals, stuffed his phone into his pocket, and opened the door to his bedroom. The hallway was dark, but he knew his house like the back of his hand; heād lived here since he was born. Navigating downward by feel as his eyes adjusted to the dark, he put out his hands to touch familiar landmarks: his door frame, the banister for the stairs, followed by the cool stone entryway at the bottom of the stairs. His parentsā bedroom was upstairs, so once he got downstairs he flipped the lights on without fear of waking them.
Blinking a few times as his eyes adjusted, he sighed and turned the corner to his motherās office. The room was full of books, framed certificates, and small engraved things that bore her name that were probably awards; old people liked to get things with their name on them. Chris closed the door behind him as he entered.
āHey, Iām here,ā he said, unintentionally whispering.
Chris waited a few long seconds, but there was no reply. A few more seconds went by, and Chris tapped the toe of his right sandal on the ground, settling his foot deeper into the shoe.
āEmil-?ā
Iām here, Chris. My apologies, Iām doing⦠many things at once.
āWeird flex, but go off,ā he said.
The sound of a dry chuckle moved through his head. Okay, I suppose I deserved that. Now, the book I need is in the form of a stack of papers on your motherās desk.
Chris climbed up into his motherās chair, sitting on his feet, and surveyed his motherās desk. It was officially the most boring desk ever. Her laptop was there, but the desk was also absolutely covered in books and papers. On the left was a stack of loose, unbound papers nearly three inches thick. The top page was full of small rows of text, the margins of which were thoroughly covered in handwritten notes.
āI canāt read this,ā Chris complained. āIāve never heard of half these words before, and even the sentences have sentences!ā
Donāt worry, Chris, Iāll help you get through it. Youāre really only looking for a specific formula, so we can just skim until we find it.
āA formula? Like a recipe?ā he asked.
Of a sort, except this recipe is for math.
āMath is okay. Iām learning how to multiply fractions now, and I donāt like it.ā
I understand. Math can feel very cumbersome, but itās also very beautiful and elegant once you get beyond rote memorization and you begin to understand not just what the formulas are, but why the formulas are.
āWhy the formulas are what?ā
Why they exist. Why the letters are where they are, and what it all means.
āYou mean like algebra, where you solve for x? Why do I have to do that? What does it mean?ā
Another dry laugh. I wish I could answer that question for you, Chris, I really do. But picture math as a ladder. In order to see whatās at the top, you have to climb all the rungs first. Right now, even if it doesnāt feel like it, youāre still near the bottom of the ladder, and it will take time and effort to climb higher.
āLike in college? Is that when Iāll get to the top of the ladder?ā
Maybe, but in this case, the ladder doesnāt really have a top, so you can keep climbing forever. The higher you are, the more you can see. You can even build extra rungs onto the top as you go so that you can see farther than any person ever has. Thatās what your mom has done, and why I need you to read this book.
Chris furrowed his brow. āMy mom⦠can see farther than anyone?ā
When it comes to her specialty, she really can. Sheās kind of amazing.
Chris furrowed his brow even deeper and he wrinkled his nose, too. āThatās weird.ā
Why is that weird?
āIt just is,ā Chris said, shaking his head. āLook, do you want this formula thing or not?ā
Alright, letās look for it. Take a peek at the book and see if there are chapter titles. If so, read them to me. It doesnāt matter if you understand what the words mean or not, just do your best.
āIf you say so,ā Chris said, shrugging. He picked up the first page and looked at it. It had a chapter heading that said āIntroductionā.
Perfect, the introduction. Now you can skip through the pages and only read the other chapter titles.
āHow do you know it says āintroductionā? I didnāt even read it yet,ā Chris protested.
Iām communicating with you telepathically, so thereās no need for you to read it out loud. As soon as you look at it, I can see it, too. You donāt have to talk to me out loud, either, if you donāt want, though most people find it more comfortable. Directing your thoughts without speaking them aloud takes some practice, trust me; otherwise itās just a jumbled stream of consciousness.
āYouāre even weirder than my mom,ā Chris complained.
You have no idea. Your mom isnāt weird at all. Sheās exceptional. But yes, Iām very weird.
āI knew it,ā he said, with a hint of smugness. āOkay, here goes. Iām going to read these chapters for you. You better be ready, because I wonāt do it twice.ā
Chris picked up the next page and flipped it over. Then the next. And the next. That was when he began to realize just how many pages there were in a three-inch stack of paper, so he picked up the whole stack and began flipping through them with his thumb. It was big and awkward in his hands, but he did his best.The chapter titles, bolded at the tops of the pages, were full of words that heād never seen before and didnāt understand like āvectorsā and āmetaphysical implicationsā, but he sounded them out in his head as he went and Emily didnāt correct him. About three-quarters of the way through the stack of papers, Emily finally spoke up.
This is it, Chris! This is the chapter I need. Now, if you could go through each page and look for any math, that would be great. You donāt have to read the words at all.
āIāve never heard of anyone ever in the history of the world who needed to learn math this badly.ā
Youād be surprised. Mathematicians take their work very seriously, and I doubt Iām the first one to make a late-night call over a formula.
āAre you a mathematician, too?ā
Not exactly. You can think of me more like an engineer. Your mom is a mathematician, so she does mostly theoretical work. What Iām doing is using applied mathematics for practical work.
āHmmm,ā Chris said, chewing his bottom lip. āI⦠think I get it. My mom makes the math, and you use the math.ā
Exactly! Youāre very clever, Chris.
ā....Thanks,ā Chris said after a moment, his cheeks tinted with red. āAnyway, letās find this thing you need so bad.ā
Moving his finger across the pages, he looked for things that might be math instead of words, and he found them in abundance. There were equations everywhere, not just in the printed text, but also handwritten in the margins. Some parts were crossed out and overwritten, too. Chris shook his head.
āHow does anyone make any sense of this?ā
Itās not easy, thatās for sure.
āItās hard for you, too?ā
Of course. Your mom is way smarter than I am.
āUgh, stop saying things like that! Itās too weird. Mom is justā¦. Mom.ā
Maybe someday youāll feel differently. It can be tough to think of your parents as real people, but itāll happen eventually.
āIf you say so,ā Chris said, shaking his head. He went back to skimming the pages, again using his finger as a guide so he didnāt lose his place. A few pages later, Emily stopped him again.
Yes! This is it! My god, your mother is a total genius.
āI said-ā Chris began, irritably.
I know, I know, Iām sorry. Hold on just a moment, I need to make some adjustments based on this formula.
āAlright. Does that mean I can go back upstairs now?ā he asked.
There was no response. Chris sighed, took out his phone, and began watching videos on Tiktok. There was no sense going back upstairs if Emily was going to make him come back down again, so he sat and watched videos of people doing the cell phone challenge.
After a few minutes, he switched from Tiktok to Twitter and was surprised to discover that there were tons of tweets trending about an #earthquake in California. And Nevada, and Arizona. He read a few tweets about it, and then saw that there were a bunch of new tags starting to trend: people were using #blackout, #darkness, and #whereisthesun. It was right around sunset over there, and people in cities all over the southwest were reporting that the sky had gone dark. No stars, no sun, just... dark.
Then came the pictures.
From Oregon and Mexico, people began posting pictures of an enormous thing on top of most of California. The first few pictures were denounced as photoshops, but more and more kept getting posted. Videos, too.
The thing was so huge that it was nearly impossible to take in all at once due to the curvature of the earth and the sheer height of the thing; it dwarfed the highest mountains like the highest mountains dwarf humans. Plus, it was sunset so the sunlight was getting filtered through the atmosphere, making it hard to see clearly. To Chrisās eyes, it looked like a mottled brown and gray, but some people were arguing on the internet that it was red and white.
The online world was on fire with speculation, with suggestions of everything from aliens to rock eruptions to some sort of weapon.
Ten minutes had passed since the thing first appeared and, engrossed in his phone, it never even occurred to Chris to wake up his parents. That was when Emily startled him again.
I seem to have caused a bit of a stir. Emilyās words held the barest suggestion of a sigh. That was my mistake; I seem to have misread your motherās handwriting and thought a G was a C. Anyone could have made that mistake, really; C would make way more sense, given the context.
āHey! You scared me. And I have no idea what youāre saying,ā Chris said, distractedly. āHave you seen the thing in California? Whatās up with that?ā
Ah. Well, thereās no real delicate way to say this, so. Um. I am the āthingā currently above California, and parts of Nevada and Arizona. I didnāt intend to make quite a⦠scene. But with the mistake I made in the formula, I ended up in the wrong place. This is actually something of a best-case scenario, all things considered.
āNow I really have no idea what youāre saying.ā
A sigh caressed Chrisās brain. The thing that youāre seeing pictures of? Thatās me.
āThat doesnāt make any sense. Youāre a 34-year-old girl named Emily and a weirdo, not some big mountain thing. I hate when adults try to talk to me like Iām stupid. Youāre the stupid one,ā Chris said retorted, more venomously than he intended..
You asked me earlier if I was a monster, and I said no. But that wasnāt strictly⦠true. Itās hard to explain. But I understand if youāre angry. The thing everyone is looking at -- me -- isnāt an alien, and itās not a weapon. Itās a woman named Emily, who is 34 years old, and who is also probably the biggest crab in the universe. And I donāt mean that metaphorically, like I can be crabby sometimes. I mean that I am literally a megacrab. Six legs. Claws. Armored exoskeleton. Size of Texas.
Chris blinked a few times, then asked, āSo.... Whatās that like?ā
You know what? Itās okay. I miss things about having a normal human body, like being able to⦠Well, nevermind. Maybe when youāre older. Overall, though, Iām pretty happy.
āYou mean you canāt have sex?ā
Christopher!
āWhat? Itās not like I donāt know about it.ā
Iām going to leave that conversation to your parents. Meanwhile, I came back to say thank you, and goodbye. I did promise you that you wouldnāt hear from me again after this, after all.
āWait, forever forever?ā Chris asked, taken aback. āBut what if I donāt want you to go... forever?ā
Iām afraid thereās no choice. If I stayed here, I would disrupt the course of human history. The various world governments would fight over me. It wouldnāt be a good look, trust me. So Iām going away. Thatās why I needed your momās book. Maybe Iāll come back some day, but not for a long time.
āOh. If I didnāt read the book for you, would you have stayed?ā
Oh, Chris, youāre a sweet boy. It would only have delayed me by a day or two, so donāt beat yourself up. I suggest that you keep our little talk tonight between us, too. If it gets out that we talked like this, I canāt promise that youād be safe. Powerful people would try to target you in order to get to me. So thisāll be our secret, okay?
āEmily, youāre⦠Youāre scaring me,ā Chris said, his voice cracking a little.
I know, but itās very important that you follow these directions. If you do, youāll be okay, and everything will be fine. Iāll try to check up on you from time to time, too, okay?
Chris fought the lump in his throat and looked at the floor. āOkay. Iāll⦠Iāll miss you.ā
Thank you, Chris. That means more to me than you know. Itās rare that a⦠creature⦠such as myself gets treated like a friend.
āYouāre welcome, Emily. Have a⦠have a safe trip.ā
One last dry laugh floated through his mind. Donāt worry about me, Chris. You just make sure you stay alive until I come back, okay?
āI promise,ā he said, wiping his nose on his arm as he blinked away his tears.
Several long seconds passed.
āEmily?ā he asked, with a note of helplessness.
There was no answer.
After a moment, he checked his phone again. Twitter was overrun with the news that the āthingā had disappeared entirely. It was night, so no one saw exactly where it went, or how. People were already posting about the whole thing being a hoax.
Chris put down his phone and sighed. He sat at his momās desk in silence for several minutes, and a few tears left lines down his face. Then, slowly and deliberately, he pulled out some blank pages from the desk and grabbed a pen. Methodically, he began copying down everything he could remember about his exchange with Emily.
About an hour later he put his pen down and looked up at the ceiling, his work done.
āIf she wonāt be back for a whileā¦ā he said to himself, āI guess Iād better learn some more math.ā
After a pensive pause, he mused, āI wonder if Mom will teach me.ā
He leaned back in the too-big chair and watched the ceiling fan spin, his thoughts whirling around inside his head at the speed of light.
Art by Zhen Fu Li https://www.deviantart.com/zhenfuli










