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. Heâd been on the verge of sleep, so maybe he justâŠÂ
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.
âH⊠Hello?â he finally asked aloud, his enormous whisper ringing out in the quiet room.
Yes, Iâm 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 wasnât even sound at all.
âW-who are you?â he asked, tentatively. âWhere are you?â
My name is Emily, and Iâm⊠Well, Iâm far away from you. I was hoping you might help me.
âAre you a ghost?â he asked. He licked his suddenly dry lips. âOr a... monster?â
There was a short pause before the voice returned.
No, no, donât worry. Iâm alive, and I donât mean you any harm.
Chris narrowed his eyes. âYou know this is sus one hundred, right? Are you going to kidnap me or something?â
Definitely not, I promise. You donât even have to leave your house. One quick favor, and then I promise youâll never hear from me again.
âThatâs exactly what a kidnapper would say!â Chris declared.
Have you ever met a kidnapper? âUmmm⊠no.â Then how do you know what they would say? âEveryone knows. Theyâre all over the internet.â
Of course. The internet knows everything.
âIâm 11, but Iâm not an idiot,â Chris declared. âI can tell that youâre making fun of me, you know.â My sincere apologies. I do have to admit that a kidnapper would be unlikely to admit their intentions. They would probably say something like, âIâll give you a ride homeâ, or âI have candy in my vanâ.
âHow do you know? Have you ever met a kidnapper?â Chris asked, mimicking Emilyâs aloof tone.
...Not in person, no. âHah!â 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. âFine. I guess⊠I guess youâre right.âÂ
Excellent. Now, Christopher, I was wondering if you might do me a small favor.
âChris,â he said.
Iâm sorry?
âMy name is Chris. People only call me Christopher when Iâm in trouble. If I help you, I wonât get in trouble, right?â
Of course, my apologies again, Chris. No, youâre not in trouble, and I promise that if you help me, you wonât get in any trouble. I just need you to read a book downstairs for me.
âYou want me to read a book? Ugh.â
You donât like reading books?
âNo way. Theyâre too long. I get bored.â
I used to love reading books. Perhaps youâll like them when youâre older.
âHow old are you? I bet youâre super old.â
Iâm 34 years old.
âYikes, I was right, youâre old as dirt. What are you doing talking to a kid in the middle of the night?â
Is 11 pm too late? I donât have any children, so Iâm not really sure what time kids go to bed.
âYeah itâs late! I was almost asleep and you legit scared me out of bed.â
That wasnât my intention. I just needed some information from a book thatâs downstairs in your house. There are no other copies, and your parents are currently asleep, so I couldnât ask them.
âNormal people just wait for the next day.â
Do I seem like a normal person to you? âI... guess not,â Chris said, grudgingly. âFine, whereâs this book?â
Itâs in your momâs office.
Chris sighed loudly and exaggeratedly. âAlright. Hold on.â
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; heâd 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 parentsâ 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 motherâs 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.
âHey, Iâm here,â 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.
âEmil-?â
Iâm here, Chris. My apologies, Iâm doing⊠many things at once.
âWeird flex, but go off,â 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 motherâs desk.
Chris climbed up into his motherâs chair, sitting on his feet, and surveyed his motherâs 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.
âI canât read this,â Chris complained. âIâve never heard of half these words before, and even the sentences have sentences!â
Donât worry, Chris, Iâll help you get through it. Youâre really only looking for a specific formula, so we can just skim until we find it.
âA formula? Like a recipe?â he asked.
Of a sort, except this recipe is for math.
âMath is okay. Iâm learning how to multiply fractions now, and I donât like it.â
I understand. Math can feel very cumbersome, but itâs 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.
âWhy the formulas are what?â
Why they exist. Why the letters are where they are, and what it all means.
âYou mean like algebra, where you solve for x? Why do I have to do that? What does it mean?â
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 whatâs at the top, you have to climb all the rungs first. Right now, even if it doesnât feel like it, youâre still near the bottom of the ladder, and it will take time and effort to climb higher.
âLike in college? Is that when Iâll get to the top of the ladder?â
Maybe, but in this case, the ladder doesnât 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. Thatâs what your mom has done, and why I need you to read this book.
Chris furrowed his brow. âMy mom⊠can see farther than anyone?â
When it comes to her specialty, she really can. Sheâs kind of amazing.
Chris furrowed his brow even deeper and he wrinkled his nose, too. âThatâs weird.â
Why is that weird?
âIt just is,â Chris said, shaking his head. âLook, do you want this formula thing or not?â
Alright, letâs look for it. Take a peek at the book and see if there are chapter titles. If so, read them to me. It doesnât matter if you understand what the words mean or not, just do your best.
âIf you say so,â Chris said, shrugging. He picked up the first page and looked at it. It had a chapter heading that said âIntroductionâ.
Perfect, the introduction. Now you can skip through the pages and only read the other chapter titles.
âHow do you know it says âintroductionâ? I didnât even read it yet,â Chris protested.
Iâm communicating with you telepathically, so thereâs no need for you to read it out loud. As soon as you look at it, I can see it, too. You donât have to talk to me out loud, either, if you donât want, though most people find it more comfortable. Directing your thoughts without speaking them aloud takes some practice, trust me; otherwise itâs just a jumbled stream of consciousness.
âYouâre even weirder than my mom,â Chris complained.
You have no idea. Your mom isnât weird at all. Sheâs exceptional. But yes, Iâm very weird.
âI knew it,â he said, with a hint of smugness. âOkay, here goes. Iâm going to read these chapters for you. You better be ready, because I wonât do it twice.â
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 heâd never seen before and didnât understand like âvectorsâ and âmetaphysical implicationsâ, but he sounded them out in his head as he went and Emily didnât 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 donât have to read the words at all.
âIâve never heard of anyone ever in the history of the world who needed to learn math this badly.â
Youâd be surprised. Mathematicians take their work very seriously, and I doubt Iâm the first one to make a late-night call over a formula.
âAre you a mathematician, too?â
Not exactly. You can think of me more like an engineer. Your mom is a mathematician, so she does mostly theoretical work. What Iâm doing is using applied mathematics for practical work.
âHmmm,â Chris said, chewing his bottom lip. âI⊠think I get it. My mom makes the math, and you use the math.â
Exactly! Youâre very clever, Chris.
â....Thanks,â Chris said after a moment, his cheeks tinted with red. âAnyway, letâs find this thing you need so bad.â
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.
âHow does anyone make any sense of this?â
Itâs not easy, thatâs for sure.
âItâs hard for you, too?â
Of course. Your mom is way smarter than I am.
âUgh, stop saying things like that! Itâs too weird. Mom is justâŠ. Mom.â
Maybe someday youâll feel differently. It can be tough to think of your parents as real people, but itâll happen eventually.
âIf you say so,â Chris said, shaking his head. He went back to skimming the pages, again using his finger as a guide so he didnât lose his place. A few pages later, Emily stopped him again.
Yes! This is it! My god, your mother is a total genius.
âI said-â Chris began, irritably.
I know, I know, Iâm sorry. Hold on just a moment, I need to make some adjustments based on this formula.
âAlright. Does that mean I can go back upstairs now?â 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 Chrisâs 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. Emilyâs words held the barest suggestion of a sigh. That was my mistake; I seem to have misread your motherâs handwriting and thought a G was a C. Anyone could have made that mistake, really; C would make way more sense, given the context.
âHey! You scared me. And I have no idea what youâre saying,â Chris said, distractedly. âHave you seen the thing in California? Whatâs up with that?â
Ah. Well, thereâs no real delicate way to say this, so. Um. I am the âthingâ currently above California, and parts of Nevada and Arizona. I didnât 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.
âNow I really have no idea what youâre saying.â
A sigh caressed Chrisâs brain. The thing that youâre seeing pictures of? Thatâs me.
âThat doesnât make any sense. Youâre 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 Iâm stupid. Youâre the stupid one,â Chris said retorted, more venomously than he intended..
You asked me earlier if I was a monster, and I said no. But that wasnât strictly⊠true. Itâs hard to explain. But I understand if youâre angry. The thing everyone is looking at -- me -- isnât an alien, and itâs not a weapon. Itâs a woman named Emily, who is 34 years old, and who is also probably the biggest crab in the universe. And I donât 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, âSo.... Whatâs that like?â
You know what? Itâs okay. I miss things about having a normal human body, like being able to⊠Well, nevermind. Maybe when youâre older. Overall, though, Iâm pretty happy.
âYou mean you canât have sex?â
Christopher!
âWhat? Itâs not like I donât know about it.â
Iâm going to leave that conversation to your parents. Meanwhile, I came back to say thank you, and goodbye. I did promise you that you wouldnât hear from me again after this, after all.
âWait, forever forever?â Chris asked, taken aback. âBut what if I donât want you to go... forever?â
Iâm afraid thereâs no choice. If I stayed here, I would disrupt the course of human history. The various world governments would fight over me. It wouldnât be a good look, trust me. So Iâm going away. Thatâs why I needed your momâs book. Maybe Iâll come back some day, but not for a long time.
âOh. If I didnât read the book for you, would you have stayed?â
Oh, Chris, youâre a sweet boy. It would only have delayed me by a day or two, so donât 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 canât promise that youâd be safe. Powerful people would try to target you in order to get to me. So thisâll be our secret, okay?
âEmily, youâre⊠Youâre scaring me,â Chris said, his voice cracking a little.
I know, but itâs very important that you follow these directions. If you do, youâll be okay, and everything will be fine. Iâll try to check up on you from time to time, too, okay?
Chris fought the lump in his throat and looked at the floor. âOkay. Iâll⊠Iâll miss you.â
Thank you, Chris. That means more to me than you know. Itâs rare that a⊠creature⊠such as myself gets treated like a friend.
âYouâre welcome, Emily. Have a⊠have a safe trip.â
One last dry laugh floated through his mind. Donât worry about me, Chris. You just make sure you stay alive until I come back, okay?
âI promise,â he said, wiping his nose on his arm as he blinked away his tears.
Several long seconds passed.
âEmily?â 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 âthingâ 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 momâs 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.
âIf she wonât be back for a whileâŠâ he said to himself, âI guess Iâd better learn some more math.â
After a pensive pause, he mused, âI wonder if Mom will teach me.â
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






