#Lectures on the Foundations of Mathematics

[judasgot-it]

Dr Ratio x Reader

Dr Ratio tries to teach y/n basic algebra (and cries doing so, they are just that stupid)

"You do what's in the parenthesis first,"

This was too hard.

With great regret, you had asked Dr. Ratio to help you with understanding algebra. You didn't even really care for the subject that much, but apparently you had to understand it in order to learn the cooler math. Which sucked - why couldn't you just do the interesting stuff first? This doesn't really seem related to anything, honestly.

But according to him, this was a basic foundation of mathematics.

Which sucked. It was so stupid. Why were there letters in this? You were pretty sure math is about numbers.

How does x even equal a number? You wouldn't know, because you were stuck on this problem for over twenty minutes now.

This was question 3 on the quiz he gave you. A simple one. He just wanted to go over the basics he had lectured you about. Which left you stuck in the same seat you had watched him lecture from, your ass already sore from sitting for so long. Unfortunately, freedom was far away as you got completely lost on how to solve any of these problems.

5(x+1)=2(x-5)-6

You tried to subtract the 1 out of the parenthesis, to bring it to the other side. This was how it's done, right?

Looking up, you saw his mask covering his face. So you didn't know if you were doing what you should be. So you just kept going.

Somehow you got 1/5.

That probably wasn't the right answer. But whatever.

Dr. Ratio was making weird noises at this point. He loomed over you, his abs almost hitting the top of your head as he watched - once in a while his thigh would hit the back of your chair, reminding you of whatever thought process he had. However he saw what you were doing from underneath that mask, you just knew he was judging you.

Carefully, you focused on the next problem.

The seething professor behind you hadn't allowed you to use a calculator - according to him, it was far too easy. Something one can easily do in their head.

It felt a little more embarassing to have to do the subtraction on the side. You don't remember 54-12 off of the top of your head, and you weren't a math god. So you had to do this each time. The side of your paper was riddled with lines that broke down or added numbers.

"That's not right."

He placed his hand on your shoulder, leaning down even further as he took his other hand and scrutinized the paper in front of him. The mask on his face brushed against your head, and it was unexpected - it didn't feel cold nor warm, simply just room temperature. It wasn't as hard as stone either.

"I thought the point of a quiz was for me to figure it out, not the teacher."

There was no point in arguing with him though. You were tired and your hand hurt.

"You can't even figure it out. At this point, this is a form of torture," The way he said that made it sound as if he was in more pain than you.

"Did you listen to anything that I had said?"

"Yeah." No the fuck you did not.

"None of your answers should be fractions. You also can't even follow the order of operations."

"I did the parenthesis like you said-"

"You just keep doing addition and subtraction. Not even well, since you make very simple mistakes."

You looked to where he was pointing; 39+42=71. That looked pretty correct to you.

"That's right though?"

"No. No, it's not. You missed an entire ten. It's 81," he sighed as he said this as if talking to a stupid child, curt but not able to truly express how he felt. Maybe he was justified in that response.

"Oh." You didn't know how he got that answer, but he was certainly right. Oops.

"You can't do algebra since you can't even do the basics. Do you even know how to multiply?"

"Yeah, I can-"

"Without a calculator. With double digits,"

He had taken off his mask, placing it to the side as he really started to scrutinize you; the hair on his forehead stuck to his skin slightly, having one bang that stubbornly clung to his nose and batting close to his eyelashes. The man even took a seat next to you, his eyes looking at yours and then back to the paper. As if he was in disbelief.

You could only shake your head. This was hard, and you could feel the frustration build up in your eyes as he only looked and scrutinized your paper further.

"You need to learn the basics again."

"This is the basics, right?"

"No. You can't even multiply or divide. That is elementary."

In shame, you put down your pencil and tried to hide your face behind your hands. You were never going to be able to do the cool math, were you? Like how to calculate the burger number. That's the cool math.

You heard the pencil be picked up by another hand, one that is a little too close to you - Dr. Ratio's shoulder brushed against yours, his bare and slutty arm taking up more than enough of your personal space.

"Let's go over this next problem. I'll explain it as you go along."

He was already giving you tips while you did the quiz, but that's fine. You have already dug yourself into a pit of shame and despair as you failed to do, apparently, basic math. So what would be one more embarrassing failure?

Taking the pen from his rather warm hand, you went back too it.

"So, how would you start this problem?"

At this point, his finger was just pointing at hieroglyphs. The letters with the numbers made it rather hard to comprehend what you were looking at.

"The parenthesis."

"There is no parenthesis in this," he frowned at you, continuing his streak of major disappointment. "Order of operations, PEMDAS, so what is your next step?"

"...multiply?"

"0 points. You do the exponents."

"So, the x with the little two."

You were sure that he blanked out on that one. His face had fallen into a strange expression, as if he had seen shadows move in his peripheral vision, as if he were followed by shadow people; a sort of pre-horror look.

"You do know what x squared means, correct?"

"How does x become a square? I still don't get that."

His face morphed into something else. Frustration, shock, agony. It could mean a lot of things, but his reaction was so strong you could taste it.

"You don't know what exponents are, do you?"

"...no."

You would think he would have understood this given how you were apparently bad at everything else. But it looked like you had slapped him and kicked his dog, from the look he gave you.

"By aeons what do you know!?"

"...1+1?"

He slammed his hands against the table. Your pencil rolled away from you from the shockwave, hitting the floor with a clatter as Ratio made loud facial expressions from underneath his hands. It looked as if he were a Shakespearian character who had been stabbed in the heart.

His breaths were heavy, his chest heaving with every attempt. One of his amber eyes peaked at you from underneath his slender fingers, staring at you as if you were a stubborn puzzle that did not wish to be solved.

There was something he wanted to say, but instead there was only a small noise that came from his throat. The stare he gave you could shatter glass.

"Are you okay, professor?"

He shook his head. The man turned to look at nothing, his face cradled in the palm of his hand.

"I have never met anyone like you."

That wasn't a compliment. But you were going to take it as one. That's the best you could do in this situation, honestly.

The man put his head down onto the table, one of his hands threading through his hair. You reached your hand out to his shoulder, patting him lightly in order to comfort.

You didn't see it, but there were tears pooling around his eyes, his chest heaving as he tried to calm himself down.

Authors note: I don't know what this is, I'm just trying to grasp ratios character. If it's OOC then that's cause i haven't even gotten to penachony yet.

Also the burger number is real it's called whopper and was literally named after the burger King sandwich. The more you know.

[spacejax]

Resources that have helped me in my classes!

(will add to this list as I find/remember more)

Classes I've used these in so far:

Honors Mechanics

Honors Thermodynamics & Optics

Relativity & Quantum Mechanics

Theoretical Mechanics

Calculus I, II, III

Differential Equations

Mathematical Techniques in Physics

Introduction to Astronomy

Fundamentals of Astronomy

Astronomy & Astrophysics

- - - - Youtube Channels - - - -

Physics

Michel van Biezen - oh my god I love him. I think he uses Sears and Zemansky's University Physics for example problems. His channel has 10k videos (!!!) and is very well-organized. He also lectures on math (from 5th grade to linear algebra), chem & organic chemistry, and astronomy.

Calculus

The Organic Chemistry Tutor - I mostly watch his videos on Calculus I-III and Differential Equations, but he also covers physics and chemistry.

Nancypi - Precalculus, Calculus I, and some of Calculus II. I barely showed up to calc lectures my first semester so she was a great help. also i have a crush on her

Michel van Biezen - I usually don't watch his math videos because his notation and techniques are different from what my prof makes us use

Astronomy

Urknall, Weltall, und das Leben - my literal dream channel. perfect levels of dryness, and videos are usually at least 45 minutes long. It's entirely in German though lmao

Michel van Biezen - covers important topics in introductory astronomy, and also does example problems (although I think they're all algebra-based)

- - - - Textbooks - - - -

Introduction to Cosmology - Barbara Ryden

Foundations of Astrophysics - Ryden & Peterson

University Physics - Sears and Zemansky

Calculus - James Stewart

Modern Physics - Kenneth Krane

Classical Mechanics - John Taylor

- - - - Workbooks - - - -

Essential Modern Physics - Chris McMullen, Ph.d. ----- LIFE CHANGING. BUY THIS FOR INTRO TO QUANTUM.

[elizabeth-katz]

As a sophomore student studying Mathematics and Statistics, my academic journey has been both challenging and rewarding. I have always had a deep appreciation for problem-solving and logic, which is what drew me to these fields in the first place. In high school, I excelled in subjects that required analytical thinking, and as I transitioned to university, I realized that Math and Stats were where I truly belonged.The first year of my studies was a whirlwind. I was introduced to a wide range of topics, from calculus to probability, and though the coursework was demanding, I found myself captivated by the way abstract concepts could be applied to real-world problems. The foundation I built in my freshman year helped me understand the theoretical aspects of mathematics while giving me the tools to approach complex problems with a statistical mindset.Now, as a sophomore, I find myself diving deeper into more specialized areas, like linear algebra, statistical inference, and multivariable calculus. The material is more advanced, but my passion for these subjects has only grown. I've learned that the beauty of mathematics lies not just in finding answers, but in the process of discovery and critical thinking. Statistics, on the other hand, has shown me the power of data and its ability to reveal hidden patterns that can inform decisions and predictions.Being a sophomore means I’m beginning to connect the dots between different concepts and developing a more holistic understanding of my field. While there are still tough days when the formulas seem to blur together or the numbers don’t add up, the excitement of uncovering the solutions keeps me going. The support of professors and classmates makes a huge difference, and I feel more confident in tackling the challenges ahead.I’m looking forward to the rest of my time in this program, knowing that with each year, I’m growing closer to achieving my goals and perhaps even making my mark in the world of mathematics and statistics. Every lecture, every assignment, and every project is a stepping stone toward building the future I dream of.

[garotaemformacao]

24.11.24

To be honest, today I studied less than I planned. I'm taking a course on Quantum Physics at UFSC (a federal university). For five years I conducted research on photophysics of organic compounds, so I want to explore a more theoretical perspective in physics. During the classes I'm using the Eisberg's book "Quantum physics: atoms, molecules, solids, nuclei and particles", and I like their teaching approach with the mathematical foundations. To assimilate better the subject, I'm using my old notes from my undergraduate classes.

𐙚‧₊˚📒✩ ₊˚☁️⊹♡𐙚‧₊˚📒✩ ₊˚☁️⊹♡𐙚‧₊˚📒✩ ₊˚☁️⊹♡𐙚‧₊˚📒✩ ₊˚☁️⊹♡𐙚‧₊

To-do:

Duolingo

Photons lecture 1

Photons lecture 2

Photons chapter

Thermal Radiation exercises

[debra521]

As a sophomore student studying Mathematics and Statistics, my academic journey has been both challenging and rewarding. I have always had a deep appreciation for problem-solving and logic, which is what drew me to these fields in the first place. In high school, I excelled in subjects that required analytical thinking, and as I transitioned to university, I realized that Math and Stats were where I truly belonged.The first year of my studies was a whirlwind. I was introduced to a wide range of topics, from calculus to probability, and though the coursework was demanding, I found myself captivated by the way abstract concepts could be applied to real-world problems. The foundation I built in my freshman year helped me understand the theoretical aspects of mathematics while giving me the tools to approach complex problems with a statistical mindset.Now, as a sophomore, I find myself diving deeper into more specialized areas, like linear algebra, statistical inference, and multivariable calculus. The material is more advanced, but my passion for these subjects has only grown. I've learned that the beauty of mathematics lies not just in finding answers, but in the process of discovery and critical thinking. Statistics, on the other hand, has shown me the power of data and its ability to reveal hidden patterns that can inform decisions and predictions.Being a sophomore means I’m beginning to connect the dots between different concepts and developing a more holistic understanding of my field. While there are still tough days when the formulas seem to blur together or the numbers don’t add up, the excitement of uncovering the solutions keeps me going. The support of professors and classmates makes a huge difference, and I feel more confident in tackling the challenges ahead.I’m looking forward to the rest of my time in this program, knowing that with each year, I’m growing closer to achieving my goals and perhaps even making my mark in the world of mathematics and statistics. Every lecture, every assignment, and every project is a stepping stone toward building the future I dream of.

[women-throughout-history]

Hypatia of Alexandria

Hypatia of Alexandria, a brilliant mathematician, astronomer, and philosopher, lived in the 4th century AD. Born around 370 AD, she was the daughter of Theon of Alexandria, a renowned mathematician and philosopher. Growing up under her father's guidance, Hypatia developed an extraordinary understanding of mathematics and science, which laid the foundation for her remarkable career. By around 400 AD, Hypatia had become the head of the Platonist school in Alexandria, where she lectured on mathematics and philosophy. Her teachings were particularly focused on Neoplatonism, a philosophical school founded by Plotinus in the 3rd century AD. Neoplatonism posited that there was an ultimate reality beyond human comprehension, and advocated for a life of philosophical and spiritual exploration to understand this reality. Hypatia's teachings were notable for their scientific rigour, emphasising empirical observation and logical reasoning. Hypatia's influence extended far beyond her academic circle. She was known for her charismatic lecturing and intellectual presence, attracting many students, including prominent Christians like Synesius of Cyrene, who later became the Bishop of Ptolemais. The correspondence between Synesius and Hypatia reveals deep admiration for her intellect and guidance in scientific matters, including the construction of scientific instruments like the astrolabe and the hydroscope. As a pagan living in a predominantly Christian society, Hypatia's position was complex. She was seen as a symbol of intellectual resistance against the rising Christian authority. The political climate in Alexandria during the early 5th century was tumultuous, with tensions between the Roman authorities and the emerging Christian leadership. Her close association with Orestes, the Roman prefect of Alexandria, further complicated her standing with the Christian community led by Cyril, the patriarch of Alexandria. Tragically, Hypatia's life was cut short when she was brutally murdered by a mob of Christian zealots in 415 AD. The exact motivations behind her murder remain debated, but it is clear that her intellectual prominence and perceived threat to Christian authority were significant factors. Despite the loss of her original works, Hypatia's legacy endures through her contributions alongside her father. She assisted Theon in his commentaries on Ptolemy's "Almagest" and Euclid's "Elements," ensuring that these foundational texts were preserved and accessible to future generations. Hypatia also wrote commentaries on Diophantus's "Arithmetica" and Apollonius's "Conics," which, although lost, are remembered for their impact on the development of mathematics and astronomy. Hypatia's life and work represent the intersection of science, philosophy, and the struggle for intellectual freedom. Her dedication to knowledge and education continues to inspire scholars and students, highlighting the enduring importance of intellectual inquiry in the face of adversity.

[deskgoblin]

Do Unto Others, a Professor x Gender-Neutral Reader.

Minors DNI

Word count: 3,252

Summary: An alluring quantum physics teacher finds out his prized student caught him in the act and promptly punishes them.

Frost bit the windows, striking patterns of ice threatening to come into the warm classroom that echoed with turning of pages and a warm voice that cascaded throughout the spacious room. Math equations spread across the chalkboard as the man in front of the class tapped on an equation he scribbled.

“This here is the equation that has puzzled mathematicians for a century, the Riemann Hypothesis. It was first proposed by Bernhard Riemann, a German mathematician. Funny how most scientists and scholars name their epiphanies after themselves, I have yet to see one that was named something much more charismatic or less narcissistic.”

The room was quiet as he paused, as if waiting for laughter or a comment. A toothy smile broke on his face, a soft laugh under his breath. He stroked back his hair behind the reddening tip of his ear, turning back to the chalkboard. His saving grace was anything but his humor, however; the glossiness of his bottom lip, the veins on his nimble hands and the defined slope of his neck connecting with the narrowed chin framed his humor in a wrapped up present for anyone with eyes to rest on.

He adjusted his glasses as he continued speaking, hand flat on the chalkboard and rubbing off the chalk onto his tweed jacket and brown slacks as he rambled. “A man once said that experts are obsessed with prime numbers because they are the foundation of all other numbers. Prime numbers in mathematics are like atoms in chemistry, bricks in the construction industry and ludicrous pay cheques in professional football.” He turned to the audience of students, noticing the soft snores of peppered students in the room sleeping or nodding off.

You smiled cheerfully, pen firm in hand with detailed notes down to his each joke and quote. He cleared his throat, looking down at his tabletop clock and widening his eyes. “That concludes our lecture for today,” His eyes crinkled as he smiled. His voice was soon drowned out by the anxious stepping of feet and bag rustlings. “The final essay is next Friday-“ Doors slammed open. “Remember to take time to review notes, I posted a text log of each lecture on Canvas.”

The room was empty by the time he was finished, painfully silent besides the clock ticking the seconds until the end of his day. You took your time, stealing glances in his direction as you packed your bag.

Notes, pens, and highlighters galore for this course was necessary at least to you. Every other class notebook was thin and organized, but your Physics notebook(s) were ragged and stuffed full of extra sticky notes so thick the spine aches every time pressure was enforced onto it. The handwriting on each page was in romantic cursive, each letter like a swirl around his own tongue that stuttered and wavered at the complex names of equations or if a question was open ended. Papers he graded with notes on them were cut and shaped to be taped in the back of the notebook, even the smallest words or checkmark was scrapbooked into the monument of your adamant success in his class.

To say you were interested in physics to correspond with your detailed knowledge was laughable. Any other lecture that was recorded by any other person was unintelligible, confusing, and not worth the effort watching. After packing your things, your professor perked up at you striding to his desk.

“Your lecture today was wonderful. I heard about the equation, apparently they’re offering 1.6 million as a reward since it has stumped so many mathematicians.” His parted glossy lips curled into a smile hearing you inform him. “Would be much more than my tenure here, that’s for sure. If you solve it, let me know. I’ll take my teacher tax.” Your eyes crinkled from the smile spread on your face, a hint of red dusting them like powdered sugar on the sweetest pastry. “I hope you have a good night, Sir.” He stood up from his desk, quick on his feet to open the door for you. “You as well, (y/n).” He downturned his head either out of the shyness in his eyes or the chivalry he was desperate to show.

The winter was horrible in Vermont, biting winds and blowing snowflakes that clung onto your long sleeve like barnacles on a steamboat. Confound it for leaving your sweater in his class, the only doors and lights on were the library and study hall for the late night study sessions everyone so desperately needs.

Your footsteps echoed throughout the hallway, creeping down closer to the classroom that had a faint flickering light source shine through the small window of the door. No one should be here this late, not even the student graders. Everyone was ready to be with their families and planning their winter break instead of burning the late night oil. Who would be dumb enough to break into a classroom this late anyway? You decided to peak in, holding your breath so the sound wouldn’t alert anyone.

The classroom was almost completely empty yet a soft panting sound was muffled behind the door. At his desk he sat with your sweater gripped through his fingers and shoved firmly onto his face, rolling his eyes back with pleasure. You squinted, recognizing the faded crochet sweater locked in between his fingers and a sparkling pink tip just grazing the drooping sleeve of it.

Each fiber that grazed the base of his cock made him shiver and buck into his hand, as if begging for his release. His shaft was almost as red as his tip, it looked like he had been at it for hours. His once orderly hair now stuck with sweat to his forehead, his glasses pushed to the top of his head with strands daring to escape the barrier his glasses made that dangled in front of his eyes. His chest rose and fell quickly, body shaking then halting to a stop to release his hand off himself. Your professor was a whiny one, you could hardly believe no one could hear him besides you.

The sweater was his saving grace, asphyxiating him with how hard he shoved his nose down into your scent to inhale every particle of ‘you’ that was left. He wanted to devour you, breathe every part of you in and die with his mouth taped close so he could never breathe you out. “Y/N,” He whispered to himself. “Please let me— I’ll be a good boy for you. Let me c—“ His words turned into a pained stifled moan, shuddering from the small drop of pre that dripped down his shaft. “Fuck s— close..” Gasping for air and sitting up more in the chair he shakily grabbed over at the clock, mouthing the number of seconds that went by before lolling his head back in his chair as if his pleasure was agony. “Hah— Okay..” He sat his head upright and spread his legs, the slacks wrinkling around his shaking thighs.

The sweater practically caked his heat in, he removed it and his once white and stiff shirt was practically opaque and disheveled. If one were to shine a light on his skin directly, he’d glow like a starry night lit by the sun instead. You suddenly realized how cold you were, sulking in the dark hallway with the snow melting on your body. No one could deny you were excited, feeling the heat radiate through your body but it just wasn't enough. You desired more, to sweat in pleasure as if you were on a Florida beach. To taste your professors unruly hair as he digs into your neck, vicious, desiring.

You gripped at your clothing, pulling at the fabric around your thigh at the aching desire for friction, to give him what he begged the imagination of you for. He pushed his hair back, standing up and propping himself up with one of his hands. “Yes,” He softly whispered, his hand wrapping around the tip earning a whiny moan and a squeaking inhale of anticipation. “Yes,” He pumped it loosely, his lips parting and his head rolling back slowly. The slope of his neck glowed in the candlelight, he gripped onto the desk again and caved in. His moans were unbearable to hear, mocking sounds to your cold hands that envied the warmth growing between your thighs. “Y/N!” He squeaked out, rhythmic moans that lined up with each thrust into his hand getting squeakier by the moment.

He jumped with shock at hearing the knocking at his door, scuffling to button his pants and throw back on his blazer in an attempt to hide his translucent shirt. “Come- Come in?” He cleared his throat, breathing hard through his nose as he sat down at his desk, shoving out an inkwell and some old graded papers onto his desk. You smiled as you entered, “Sorry for the intrusion.” “Not at all—haha— what ah, what can I do for you?” His eyes could barely meet yours as you entered the room, arm propped on the desk that quickly sought to cover his mouth with his hand. “Ah, my sweater.” You mentioned, sauntering over and grabbing it and feeling the warmth and slight dampness from his sweat. “It is.. damp?” You looked at him, enjoying him flustering and being tortured by your gaze and your question. “That? Ah, so.. Well you see, a window flew open and I was here mopping it up! And ah… I lit a candle so it would dry everything. That’s- That’s why I have it here on my desk. Closest to the candle.” He smiled briefly and nulled the expression with wide eyes and pursed lips. You narrowed your eyes, debating on your next stab. You brought the sweater to your nose, sniffing it deeply just as he had and smile. “Ah, makes sense why it smells wonderful now.” He bit his lower lip, trying to hide his shy smile knowing that you smelled him on the fabric. “Is that all you needed? I need to get back to grading. Sorry..”

You narrowed your eyes, taking apart how his eyes flicked away from your gaze and the way his hands shook. What a shame he was so coy and uncertain. “Hmm. Alright,” You grabbed your jacket, noticing his eyebrows upturn at the sight of its absence on his desk. “I’ll see you in class tomorrow, sir.” Your steps filled the room until he squeaked out a quiet ‘yes, will do’.

That sweater was the best pillow you had now, balled up and pressed against your face at night now lulled you to sleep. The picture of him bent down onto his desk with his eyes shut tight and mouth hung open brought a smile to your face, his desperation was the coldest ice water on the hottest day that you sipped at all throughout the next day. It refilled when you filed into the classroom, his eyes catching yours but quickly fading down to the rest of the students filling their seats.

The professor sketched onto the chalkboard “Heisenburg’s indeterminacy principle”, along with the equation that went with it. Your notes were pure blank today, just a bunch of squiggles and imprinted dots of your pencil as you stared at the professor and the snow that began gathering at the top of a park bench from outside. You took apart last night until each frame of memory was memorized down to the exact detail, nothing could enter your head because of it. It was frustrating. Finals were coming and nothing was satiating the craving your hands feel each time you see him. Your fingers tingled and fidgeted at the sensation his hair would have, tight in your fingers as he wrapped himself in his own. Your hand balled up and you rested your chin on it, staring hard at your teacher hoping the class would end and you could leave something once more. Then of course catch him in the act. The weekend before finals was coming and you needed that itch scratched to score high.

He stacked a few papers together as the students finished taking their notes or conversing with one another. He licked the tip of his finger and grabbed a page seamlessly, laying a graded paper on each desk. Some groaned or sounded pleased with their grade but he saved you for last. He stroked down your arm before softly putting the paper down before you, catching your eyes with his own before heading back to his desk. Peering down you hoped for a note, a heart, a praise for your hard work like how it always was but.. There was only a checkmark. Were you being punished now? You glanced around at everyone else, scribbled notes in red ink and praises were written on everyone else’s grades except your own. Anger and confusion rushed to your head and what was he doing? Rolling up his sleeves above the elbow and leaning against his desk. He peered over at his watch and smiled. “Class is dismissed. If you have any problem with your grades, we can work out extra credit or schedule tutoring before your final exam.” Students filed out, occasionally asking about class hours and being referred to sign up on the door. You debated, then left a scarf on your desk and hurried out without sneaking him a glance.

The moon came out glowing and bright through the windows of each classroom. Almost each and every one looked lived in, ready to teach even in the latest of hours. You hoped one special classroom would glow with yellow light, a candle shining on his sparkling sweaty face again. Echoes of memory and god the sounds reverberated in your head as you snuck your steps quieter than a mouse past the mahogany built doors and walls. Curse the ceiling to be so high up and empty that orchestrated your steps just enough you couldn’t tell if there even was noise coming from the beloved classroom. You peaked, grinning and excited only to see the scarf sat exactly where you had left it, not even the least bit touched. But.. It was the weekend. He would be home, nowhere near the college and —fuck—not you! Your shoulders slumped, eyebrows upturned and you stopped arching your feet to see above the window.

You exhaled sharply, dimmed by the knowledge you’d have to satiate yourself throughout the weekend if you wanted a shred of sanity to stay intact while you study. You heard a soft scuffling, a sharp squeak escaped your mouth when you were shoved to the door. A cold hand pressed to your mouth and warmed slightly from your anxious breathing. “My class hours are way past time, darling. Clearly I didn’t punish you good enough,” You gasped softly as he pushed your shirt up, a hand still clasped over your mouth.

He was most certainly just in the cold, stark shivers violate your body under his cold fingertips stroking your waist up to your chest. You couldn’t take it, the lingering and cold feeling of his hands against you not immediately ravaging you senseless. The teasing was already done over the course of months of the ‘almost’ kisses, the brushes against your hand when he passed out papers or gave you a pencil to borrow when you ‘forgot’ yours.

Muffled you begged, “Professor I-“ His hand forced your head back against the door. You could hear his smile when he spoke, “No, you’re going to wait now.” His fingers trailed down to your pants, rubbing two fingers down your heat and putting pressure on it. His breath against your neck sent shivers through your body, bucking your hips against his hand. His lips curled against your neck, nipping and tugging your neck until it came back a strawberry color. He kissed it, putting a sheet of his love on top of the brutal lust he marked for you. That’s all it really was, yet the sheet hadn’t come down for the warmth he was giving with his hands until he found his way through your clothes.

“Professor, we should go in the classroom, it's not smart to be out in the open..” He grabbed your face, squishing your cheeks hard and pressing his lips onto yours. You couldn’t tell who was cold or warm to the touch, but your fingers finally felt his hair and fulfilled that craving you had today. His tongue shoved in with notes of black tea and a tobacco cigarette he no doubt had earlier. The fingers he used to hold that same cigarette now grazed against your hole, glazed in your heat and dipping in the tips of his fingers to gauge your readiness.

With each flick of his hand he shoved his tongue deeper, using his hand to dip under your knee and cage it between the door and his hips. His fingers slipped in easier now that your pages were spread, he blindly read the braille inside you and tinged against that spot where language and dialogue braided together and shocked your eyes closed. He smiled against your lips, spreading his fingers and closing them together between your whimpers and called out to him to slow down.

He kissed you softly, pressing your foreheads together and whispered, “I want you to come all over my hands, give me something else to hold against me when I come at the thought of you. I want you to empty yourself right in this hallway—please, come on— You’re such a smart bunny. Always my favorite—“ “Fuck, I think I’m—“ “That’s it, doing such a good job. Go on, come for me” He quickened his pace, pushing deeper on your leg to spread more.

He was more than an attuned lover, praising each thing that made your mind run wild and swirl into a mess. His eyes looking down at you were hard to sway from, a deep green that sucked you into a deific space where all he saw was you. Right now you were his religion, his very purpose in this moment was to pleasure you and give you everything you wanted. Hot white spots filled your chest and head, flashing colors as your body was drawing close to an orgasm. Landscapes were painted all around the back of him. Heaven radiated its light through the moon and reflected in his eyes that turned mischievous, an upturned smile made you wary.

He pulled clean out right before your orgasm, and he dropped your leg immediately. You came crashing down onto your knees, a hot wet mess that had tears clouding your eyes from the sheer pleasure you had before but was met with sheer spite and soft laughing above you. “Sorry, dear.” He kneeled down next to you, his hand grabbing a fistful of your hair to force your ear to his mouth. “Next time, don’t interrupt me.” He kissed you like a fucked out trophy then lightly smacked your face before dropping your hair from his now warmed hand. He sucked the fingers clean that were plunged in you a second ago, eyeing you like prey as he stood back up to his feet. “I’ll see you in class Monday~” His steps now were the only orchestra reverberating off the walls and high ceiling, until the doors that opened out to the winter hellhole closed behind him.

[studyforalittle]

First Impressions

inspired by @ros3ybabe

The first week is almost done and I will be fighting for my life to have the schedule that I want 💪

Nonetheless I already have my thoughts :)

Strategic Management

Professor presented the class with a very sciency tone to it which is not my style for the type of content we will encounter as I have enough sciency courses this semester

The grade spit heavily relies on group work, and i might no have the time to do so this semester

Decision -> drop this semester

Linear Methods ||

NGL i am pretty anxious as the last time I had a linear course was 5 years ago so i am feeling rusty

I have been taught by this prof before, and I must say, I love me an organized math prof ( as it is a rarity)

She mentioned that it is a jump from Linear | with a theory & proofs base. It will be an interesting change of paste

I am scared though as for the last proof focused course i had to work my ass off to make it click but what didn't kill me made me stronger right :) hehe

Final Grade A

Complex Analysis |

This will be a "hard course" as my prof said.. but am i cocky to think it will go well for me? I've already survived real and numerical analysis

I love love love how jumpy and excited the prof is to teach, also he has been providing a lot of visuals and thorough explanations so far on complex concepts

I do acknowledge that for all the maths I will still have to grind, especially for this, as it is all about visualizing and understanding the complex planes but he draws a lot of visuals to help us

I will have to skip every Friday lecture due to another commitment so i have to be extremely proactive with this one

Final grade A-

Senior Project

I know one of the professors for this course, and it is a math capstone so i think it is less about the prof and more about my team

I am very scared but also excited as we get to find a topic and read papers on it

The final paper is 70% of the grade though 💀

Final Grade A

Computational Finance

I'm so EXCITED i felt attached to the prof's nice vibe since last time i had him for intro to mathematical finance. He feels very fair

This will be cool, one of the classes i looked forward to this whole degree and it has a 30% final which is unheard of in this department!

Final Grade A

Venture Capital Finance

WHOHOO wrapping up my 2 year class (yep you read it right, i've been doing this program/ class for 1,5 year now)

Love our mentor and supervisor

Scared as i have a leadership position so i have to stay on top of things myself and make it contagious to my team :D

Final Grade A+

Futures and Options

I feel like i slacked in the past to establish the foundational knowledge on the business side of finance; so i will try to attend lectures of this class even though i am not enrolled in

I like the prof, he is a PhD Finance student and is trying to make this course less theory more application which is exactly what i need to balance off the theory heavy finance i have in math

Overall, with working part time, managing a team of volunteers for the fund i am in, and 4 math courses i wish to do my best to optimize time but also be compassionate with myself. Show up for myself like i want to show up for others :D

I do hope that this stacked schedule will lower my spendings as i will be too busy to buy foods BUT it might do the opposite as i will not have enough time to meal prep 🤔

[ameyauneedtostop]

If you're good at math:

1. Concept Integration:

Find sums which require in-depth knowledge of more than one mathematical concept to solve. A simple example would be using algebraic expressions as sides of a right angled triangle and finding hypotenuse using Pythagoras theorem and then finding the square root of the polynomial by factorization.

2. Proofs:

Practice writing and understanding mathematical proofs. This helps you develop logical reasoning skills and a deeper understanding of the foundational principles behind mathematical concepts. Very Very important even if it is excluded in the syllabus.

3. Explore Multiple Methods: A continuation of the previous tip; when you learn derivations, you can find short-cuts that work out for you. Or you can explore other methods of solving like graphing two simultaneous linear equations to solve, etc

4. Marry a whiteboard: Seriously, it's so much fun to solve questions on whiteboard. Also, Feynman technique (it's basic so not preaching)

5. Give Olympiads:

  Don’t shy away from tackling advanced topics or materials beyond your current coursework. Give Olympiads. They broaden your thinking capacity, and they're reallyyyyyy fun to prepapre for ✨

6. Develop Intuition:

 Work on developing mathematical intuition. This involves recognizing patterns, making educated guesses, and estimating solutions before rigorously solving problems. Cannot stress enough on this point. I got a guess correct. It was fill in the integer type questions and the probability of getting an answer right if picked at random was 1/100. Still, went with my gut instict and got it correct.

7. Use Online Resources:

Platforms like Khan Academy, MIT OpenCourseWare, and Coursera offer advanced math courses and lectures that can supplement your learning.

8. Follow me: most important tip 😉😁

[lboogie1906]

Dr. Marjorie Lee Browne (September 19, 1914 - October 19, 1979) was a prominent mathematician and educator who, in 1949, became only the third African American woman to earn a doctorate in her field. She was born in Memphis to Mary Taylor Lee and Lawrence Johnson Lee. She won the Memphis City Women’s Tennis Singles Championship and two years later graduated from LeMoyne High School.

She received her BA in Mathematics from Howard University, graduating Cum Laude. She taught for a while at Gilbert Academy in New Orleans. She graduated from the University of Michigan where she received her MA. She taught full-time during the school year at Wiley College while attending the University of Michigan during her summer breaks. She completed her dissertation and received her Ph.D.

She joined the faculty at North Carolina College. She worked as a principal investigator, coordinator of the mathematics section, and lecturer for the Summer Institute for Secondary School Science and Mathematics Teachers.

She taught both undergraduate and graduate courses, wrote proposals for equipment, and obtained grants for scholarships from Shell, IBM, and other major corporations. The Ford Foundation awarded her a fellowship to study combination topology at Cambridge University. She was a National Science Foundation Faculty Fellow studying numerical analysis at UCLA. She received a $60,000 grant from IBM to set up an electronic digital computer center at North Carolina College.

She was the first recipient of the W.W. Rankin Memorial Award for Excellence in Mathematics Education. She used her money to provide financial aid to many gifted young people so they could pursue their educations. She established summer institutes to provide continuing education in mathematics for high school teachers.

She was a member of the Women’s Research Society, the American Mathematical Society, and the Mathematical Association of America. She was one of the first African American women to serve as a member of the advisory council of the National Science Foundation. #africanhistory365 #africanexcellence #alphakappaalpha

[tarrarre]

This is math anon. I know European high school calculus (differential, integral), statistics and analytical geometry/linear algebra. So the reason I'm scared shitless is that my country has a system, where everyone can get into engineering, but they try to weed out as many unworthy ones as possible during the first year. Other engineering students have only told me horror stories of extremely difficult exams you have to complete in a short time frame, coupled with minimal support from professors that just read off their powerpoint to a lecture hall of 700 people. I'm talking fail rate over 80%, even the geniuses scraping by on a D-. I'm goodish but NOT a genius and now need to concentrate on maximum preparation and self-teaching to survive this first year. Thanks for any advice

The only way to get better at maths is to do it. Practice drills and putting pen to paper.

If your university website has a brief overview of modules that may be offered in the upcoming academic year, take a look at those and start practicing those topics. Look up youtube videos on the subject, and do practice problems. I usually do any practice problems offered in the video on the subject, and I google "(topic) worksheet" (make sure the worksheet has solutions) or "(topic) exam" (again, with solutions). This way you'll be able to learn while also rehashing your previous knowledge as mathematical knowledge is cumulative.

Keep a note on the topics you're currently doing so that you can have a more structured leaning path for maximum efficiency.

I'd say that if you want to be prepared for next year, have at least a working knowledge of the topics you're going to be starting next year before the academic year actually begins.

On the lectures, I know what you're talking about, I had lecturers just like that. In this case, you should create a system where you can self-study. Not that I recommend this, but personally, I would usually skip those lectures if I knew the material was going to be online anyway because I wouldn't really get anything from sitting and listening to someone talk about the topic at hand when I could actually be practicing it. I'd go home and just employ the same strategy I told you about. Watch videos, do practice problems, DO EXAM PAST PAPERS.

When you're actually in college, the most important thing, like I said, is put pen to paper. This means handing in your assignments on time, doing any practice work that your professors may put up. You don't want to find yourself in a position where you're 3 weeks behind, and have to go back and do 3 weeks worth of learning because you did not do the learning on the week that the topic was presented to you (but if this happens, it's not the end of the world, I think literally every student has found themselves in a similar position at some point).

Maths is cumulative, and you want to make sure that you have a solid foundation. I think that this is the reason why most people fail maths. They skip assignments, don't hand in work when it's due, don't rehash their knowledge, and unfortunately that means maths gets increasingly difficult for them as they don't have a solid base of knowledge and experience on past topics.

In summary: during the summer, have a study plan laid out for topics that might come up, in college, keep up with your work, hand in your assignments, go to your tutorials (if you have such a thing).

If you have any questions about what I've said, any comments, etc. you can send me another ask and I'll answer you. Hope everything I said was clear.

[bestiascoaching12]

Best IAS Coaching in India for UPSC 2025: Compare Top Institutes, Courses & Reviews

When it comes to preparing for the prestigious Civil Services Examination conducted by the Union Public Service Commission (UPSC), choosing the right coaching institute can be the most crucial decision an aspirant makes. Among the several IAS coaching institutes in India, Plutus IAS has emerged as a leading name, especially for UPSC 2025 preparation. Known for its hybrid model of teaching, personalized mentorship, small batch sizes, and a result-oriented approach, Plutus IAS is increasingly being recognized as one of the Best IAS Coaching in India. This article offers an in-depth and unbiased review of Plutus IAS, covering its history, courses, faculty, teaching methods, fee structure, online and offline modes, optional subject support, student reviews, and final verdict.

Introduction to Plutus IAS

Plutus IAS is a Delhi-based coaching institute that has become a popular choice among serious UPSC aspirants due to its strategic and well-researched pedagogy. Widely regarded as one of the Best UPSC Coaching in India, the institute offers a blend of online and offline learning, thereby catering to aspirants not only in Delhi but across India. Established over a decade ago, its commitment to quality education, personalized attention, and continuous evaluation has set it apart in the increasingly competitive coaching industry.

With the growing demand for digital learning, especially post-COVID, Plutus IAS quickly adapted and designed an advanced hybrid learning model. This model provides both in-person classes at its physical center in Rajendra Nagar, Delhi, and online sessions accessible across the country. Unlike many traditional institutes that rely solely on physical classroom interaction or prerecorded lectures, Plutus IAS offers live interactive classes, recorded sessions, detailed notes, one-on-one mentorship, and personalized feedback mechanisms. This ensures that students receive consistent support throughout their UPSC journey.

Teaching Methodology and Course Structure

The most distinguishing feature of Plutus IAS is its student-centered approach. The institute maintains a small batch size of 30–40 students, which allows teachers to give personal attention to each aspirant. This is a huge contrast to many big-name coaching centers where batch sizes often exceed 100 students. At Plutus IAS, students can directly interact with faculty, ask questions in real time, and receive feedback on their answer writing. This environment mimics a tutorial-style format that is proven to be more effective for competitive exam preparation.

The General Studies (GS) foundation course is structured to cover the UPSC syllabus comprehensively within 10–12 months. The curriculum is designed to cover all four GS papers for Mains, along with CSAT for Prelims, and includes essay writing, ethics (GS Paper IV), and interview preparation. The course schedule ensures timely completion of syllabus, regular revision, and daily answer writing practice. Weekly tests and monthly mains answer writing assessments help track progress. Plutus IAS also provides daily current affairs analysis, making students aware of relevant news and helping them build analytical and writing skills crucial for Mains.

The CSAT classes are taught by experienced faculty and include practical problem-solving sessions with live interaction. This is especially beneficial for aspirants from non-mathematical backgrounds who often find CSAT to be a hurdle.

Optional Subjects at Plutus IAS

In addition to the GS course, Plutus IAS offers coaching for several optional subjects. Optional preparation is a critical component of UPSC Mains and can significantly influence final ranking. Plutus IAS currently offers optional courses in Political Science & International Relations (PSIR), Geography, Sociology, History, Law, Public Administration, and Psychology, among others. Each optional subject is taught by specialized faculty with years of experience and expertise in their respective fields.

For example, Dr. Huma Hassan’s classes in PSIR are widely appreciated for their depth and clarity. Similarly, Ankit Sir’s classes in Current Affairs and General Studies are popular for integrating contemporary issues with syllabus topics. Optional classes typically run for 4 to 5 months and include full syllabus coverage, previous year question analysis, answer writing sessions, and detailed notes. These subjects are taught both online and offline, with access to recordings for future reference.

Faculty and Mentorship

Faculty is the backbone of any coaching institute, and Plutus IAS is known for hiring some of the best educators in the UPSC preparation domain. Most teachers have years of experience in civil services coaching and have either appeared for the exam themselves or guided successful candidates. The faculty at Plutus IAS includes notable names like Dr. Huma Hassan (PSIR), Shashank Tyagi (Polity & IR), Ankit Sir (Current Affairs), Siddharth Sir (Geography), and Pankaj Sir (Sociology).

What sets the faculty at Plutus IAS apart is their availability and interaction with students. Each aspirant is assigned a personal mentor who monitors their academic growth, answers subject-related queries, and provides moral support during tough phases. Mentors help create personalized study plans, discuss test performance, suggest improvements, and provide detailed feedback on answer writing. This 360-degree support system helps reduce the burden on aspirants and improves their chances of success.

The mentorship continues beyond classroom hours and is available even after course completion, especially during the Prelims and Mains phases. During the interview stage, mentors assist in Detailed Application Form (DAF) analysis, mock interviews, and soft skill development.

Test Series and Answer Writing Programs

Plutus IAS is widely regarded for its high-quality test series, especially for Mains. The institute conducts both Prelims and Mains test series with full-length and sectional tests. The tests are based on the latest UPSC trends and are followed by detailed model answers and evaluation. Every test is designed not just to assess knowledge but also to enhance the student’s ability to think critically, articulate clearly, and structure answers effectively.

The Mains Answer Writing Program (MAWP) is one of Plutus IAS’s most appreciated offerings. In this program, students write answers daily or weekly, which are then reviewed and marked by subject experts. The feedback is personalized, constructive, and aimed at helping students develop the writing skills necessary to tackle UPSC’s analytical and dynamic questions. This continuous practice ensures that aspirants are ready for the real exam well in advance.

In addition, the Essay Test Series covers a wide range of philosophical, socio-political, and economic topics, helping students develop a balanced and coherent essay writing style. Plutus IAS also offers specialized crash courses and booster programs before Prelims and Mains for quick revision and intensive practice.

Online Learning and Hybrid Model

One of the biggest advantages of Plutus IAS is its hybrid coaching model. With the rise of digital education, the institute has invested heavily in building a reliable and user-friendly online platform. All live classes are recorded and made available to students for revision. Online students get access to the same material, mentorship, test series, and faculty support as offline students. This model has enabled students from remote regions, working professionals, and college students to pursue UPSC preparation without relocating to Delhi.

The learning management system (LMS) of Plutus IAS includes video lectures, PDFs of class notes, daily current affairs updates, test portals, and doubt-clearing forums. Students can attend classes from their mobile or laptop, interact in real-time, and revisit any lecture multiple times for better understanding. This flexibility ensures that students can learn at their own pace while still being part of a structured environment.

Fee Structure and Payment Options

Plutus IAS offers competitive pricing, especially considering the quality of education, small batches, and individual attention it provides. The fee for the General Studies Foundation Course (Prelims + Mains + Interview) is approximately ₹1,00,000 to ₹1,25,000. The optional subject courses range from ₹35,000 to ₹50,000, depending on the subject and duration. The Prelims and Mains Test Series are available separately at a cost of around ₹20,000 to ₹30,000.

Student Reviews and Success Stories

Plutus IAS has received overwhelmingly positive reviews from students over the years. Many aspirants who have qualified Prelims, Mains, and even reached the final interview stage credit their success to the focused environment and mentorship provided by Plutus IAS.

Ritika, an aspirant who cleared UPSC Mains in 2023, shared her experience saying, “The mentorship at Plutus IAS kept me on track during my toughest days. The personal guidance helped me stay disciplined and improve my answer writing over time.” Another aspirant, Amit from Lucknow, mentioned, “Being from a small town, I always thought cracking UPSC would require moving to Delhi. But Plutus IAS’s online classes brought Delhi-level coaching to my doorstep.”

Final Verdict: Is Plutus IAS Worth It?

To summarize, Plutus IAS has successfully combined the best aspects of traditional classroom teaching with the convenience and scalability of digital education. The institute’s focus on personalized mentorship, rigorous answer writing practice, expert faculty, flexible learning modes, and updated content makes it a top contender among UPSC coaching institutes in India. Recognized by many as the Best IAS Coaching in India 2025, Plutus IAS is an excellent choice for UPSC 2025 aspirants—especially those who value small batch learning, quality interaction, and performance-based support.

Whether you are a full-time aspirant or a working professional looking to prepare alongside your job, Plutus IAS offers the flexibility and structure required to prepare efficiently. Its test series, optional coaching, and interview preparation further ensure that students are covered through all three stages of the examination – Prelims, Mains, and Interview.

[trashcankitty12]

Aria Sexton

Youngest Child of Riven and Musa Sexton

Wild But Wise

-Aria is the youngest child of Musa and Riven, being about 11 when we first meet her.

-Her birthday is November 15, making her a Scorpio by Earth Standards and a Salamander by the Magical Dimensions.

-Out of the younger Winx kids, she’s the smallest (and fastest), something she takes great pride in.

-Aria’s hair is naturally dark like her mom’s and she has her father’s eyes. That said, she’s prone to putting dyed streaks into her hair, when she can get around it with her school obligations. 

-(Because of course her school would be the one to have rules regarding those in certain sports or activities. Something about uniformity with their group or whatever.)

-(For those wondering, she goes to a performing arts school on Melody. Though when she comes of age, she is thinking of going to Alfea like her older sister and her mother. But she’s also sort of on the fence about going into the sister school for Red Fountain, the Lilac Foundation.)

-Aria has definitely earned her wings already, having gotten them by not only standing up to a bully at her school, but also opening up to her family about some feelings she was having. 

-Mainly about preferring warrior-esque studies to magic/music based ones. 

-The girl loves being in motion and she genuinely enjoys the feeling of control she gets when she’s going through her fencing motions and martial arts programs. It’s… Fun. And freeing.

-Not to say she doesn’t love her wings or her musical abilities, she just… Doesn’t click as easily with it.

-(Riven definitely understands her in this and does his best to enroll her in all the sports she feels interested in and thinks she can handle. So far, she’s an incredible athlete.)

-(Musa’s super proud of her daughter for being able to speak her mind about this, and is so thankful that she became the kind of parent she wanted to be when she started having kids, the one her kids wouldn’t worry about disappointing because they know she loves them no matter what.)

-Aria now claims to be the “favorite grandchild” of their Gonpa since her older siblings are studying in Magix and she’s still on Melody with him.

-(It’s all in good fun. And her siblings also claim to be favorites of their grandpas in Magix.)

-She’s close friends with Winnie and the two often get into trouble when left to their own devices. Thankfully she’s gotten better at controlling her magic. And received her own phone to get her siblings’ attention.

-Her siblings because she refuses to contact her parents when she’s in trouble. Why? Because of their lectures (about her safety and about what the better course of action would have been because her parents have apparently been through everything.)

-Aria is admittedly a daddy’s girl; she spends so much time with him training or working on his levibike or even playing music.

-(The music thing is a full family affair though, everyone has their preferred instruments and they make quite the band! Aria’s a keyboardist and has a thing for alt-rock and alt-punk sounds.)

-Fencing and sword fighting are some of her favorite sports, the others being magi-ball and skateboarding. 

-In fact, she enjoys skateboarding with her older brother, even if he’s a bit of an idiot when it comes to ‘impressing’ people.

-(Boys. So exhausting.)

-(Actually, everyone is sort of exhausting. She hopes and prays she never ‘falls in love’. Too much work and too many problems.)

-Aria’s currently enrolled at the Academy of Muses Middle School and she’s one of the better students.

-She’s always taken her schooling seriously, it’s just her focus sometimes is… Elsewhere. Especially if something more major is going on in her life or her families’ lives.

-Her favorite subjects are Historical Literature, Debate Tactics, and Mathematics.

-Least favorites? Anything to do with chemicals or potions. No thank you.

-She’s in her city’s Junior Sword Fighting League. Riven’s super proud that she’s got a high ranking. (He personally trained her of course.)

-Despite not being much for traditional music, Aria loves listening to her mom and her Gonpa sing traditional Melodian songs. It makes her feel like she knows her Gonma, even if they’ve never met.

-Because her dad’s side of the family is so large, it’s hard to keep up with everyone. She does have a few cousins she enjoys having adventures with (even if they can’t ever tell their parents about their adventures, not without getting lectured to hell and back).

-Yes, okay… Aria is a bit like her dad and her mom when it comes to finding trouble or getting into trouble. But it’s not her fault. It’s not!

-Her parents taught her to always stand up for herself and be willing to stand her ground, not her fault some people like to try and push her.

-She’s not sure what her goals are for the future, as she’s still trying to figure some things out, but she does know she wants to make her family proud. (Hopefully she does just that.)

[frank-olivier]

Fetzer Franklin Fund

Yakir Aharonov is a prominent Israeli physicist known for his work in quantum physics. The two-state vector formalism, developed by Aharonov and others, implies that nonlocality is not just spatial (as in entanglement) but also temporal, suggesting a dynamic and interconnected spacetime structure. What appears nonlocal in space might be local in spacetime, if causality is truly bidirectional. This framework complements the block universe theory with the idea of the "co-reality" of past, present, and future, where events are not bound by a linear progression of time, and it aligns with other interpretations of quantum mechanics like the many-worlds interpretation and the transactional interpretation, but it is distinct in its use of time symmetry and retrocausality. Aharonov's work does not modify the standard predictions of quantum mechanics but provides a different perspective on the nature of quantum states and measurements.

Yakir Aharonov: Finally making sense of the double-slit experiment (October 2020)

International Center for Theoretical Physics

Sandu Popescu discusses the non-deterministic nature of quantum mechanics and its implications for the flow of time. He explores how weak values can provide insights into quantum systems. Weak measurements involve minimal disturbance to the system, allowing for the analysis of properties like kinetic energy. Popescu shows that bound states can form due to kinetic energy considerations. Popescu's work contributes to the understanding of foundational aspects of quantum mechanics.

Sandu Popescu: Multiple-time states and the flow of time in quantum mechanics (January 2023)

Space Studies Institute

John G. Cramer proposed in 1986 a transactional interpretation of quantum mechanics by describing quantum events as transactions between emitting and absorbing particles through the exchange of advanced and retarded waves. This interpretation is non-local and relativistically invariant, meaning it is consistent with Bell's inequality tests and remains causal. Unlike the Copenhagen Interpretation, which views wave functions as mathematical representations of knowledge, the Transactional Interpretation considers them as real waves in space.

John G. Cramer: The Quantum Handshake Explored (September 2017)

Harvard Foundation of Physics Workshop Series

Matthew Leifer is a physicist working on the foundations of quantum mechanics, examining the nature of the quantum state and its ontological status. He has explored whether a time-symmetric interpretation of quantum mechanics can be formulated without invoking retrocausality. This involves examining whether the quantum state can be understood as a real entity in the block universe or if it merely represents our knowledge or information about a system.

Matthew Leifer: Block Universe Ontological Models - A Framework for theories with Retrocausality (October 2020)

"Let me sum up the elements of the quantum concept of time. Time is not a sequence of moments, nor does it flow. Yet our intuitions about the properties of time are broadly true. Certain events are indeed causes and effects of one another. Relative to an observer, the future is indeed open and the past fixed, and possibili­ties do indeed become actualities. The reason why our traditional theories of time are nonsense is that they try to express these true intuitions within the framework of a false classical physics. In quantum physics they make sense, because time was a quantum concept all along. We exist in multiple versions, in universes called 'moments'. Each version of us is not directly aware of the others, but has evidence of their existence because physical laws link the contents of different universes. It is tempting to suppose that the moment of which we are aware is the only real one, or is at least a little more real than the others. But that is just solipsism. All moments are physically real. The whole of the multiverse is physi­cally real. Nothing else is."

-- David Deutsch, The Fabric of Reality, 1997

Alex O'Connor (Within Reason)

David Deutsch: The Multiverse is Real (March 2024)

Saturday, August 31, 2024

[economicshomeworkhelper]

Winning Moves: A Guide to Game Theory Homework Success

Game Theory, a branch of mathematics and economics, analyzes strategic interactions among rational decision-makers. As students dive into the complexities of Game Theory, they often find themselves grappling with intricate concepts and challenging problem sets. If you find yourself in a situation where you need personalized guidance, searching for "Write My Game Theory Homework" or "Game Theory Homework Help" can lead you to professional services. Whether you're seeking assistance online or looking to tackle the problems on your own, this guide will pave the way for Game Theory homework success.

Understanding the Basics

Before delving into specific strategies, it's crucial to have a solid understanding of the basics of Game Theory. Familiarize yourself with key terms such as players, strategies, payoffs, and Nash equilibrium. If you're unsure about any concept, don't hesitate to consult your class notes, textbooks, or reliable online resources. Establishing a strong foundation will make the subsequent moves in your Game Theory journey much smoother.

Write My Game Theory Homework – Online Assistance

One winning move in your Game Theory homework strategy is seeking online assistance. The internet is a vast repository of knowledge, and there are dedicated platforms that offer expert help.

Online Game Theory homework help services often employ experienced tutors and experts in the field who can provide step-by-step explanations and solutions to your homework problems. When choosing a service, make sure to read reviews and testimonials to ensure the reliability and quality of the assistance provided. These platforms can be valuable resources to help you understand complex concepts and excel in your Game Theory coursework.

Strategic Approaches to Game Theory Homework

Now that you've laid the groundwork, it's time to explore some strategic approaches to tackle your Game Theory homework effectively:

Divide and Conquer: Break down complex problems into smaller, more manageable parts. Focus on solving one aspect at a time, gradually building up to the complete solution. This approach allows you to concentrate on specific concepts and prevents you from feeling overwhelmed.

Study Groups: Forming or joining a study group can be a game-changer. Collaborating with classmates allows you to benefit from diverse perspectives and share insights. Discussing problems with others can lead to a deeper understanding of the material and expose you to alternative solution strategies.

Practice Regularly: Game Theory is a subject that improves with practice. Set aside dedicated time each day to work on problems and reinforce your understanding of key concepts. The more you practice, the more confident and adept you will become in applying Game Theory principles.

Utilize Resources: Take advantage of online resources, textbooks, and lecture notes. Refer to reputable websites, video tutorials, and examples that can provide additional clarity on specific topics. Don't hesitate to explore multiple resources until you find the ones that resonate with your learning style.

Seek Clarification: If you encounter difficulties with specific concepts or problems, don't hesitate to seek clarification from your professor or teaching assistant. They are there to help you succeed and can provide valuable insights to ensure you grasp the nuances of Game Theory.

Online Game Theory Homework Help – A Convenient Solution

When you find yourself stuck on a particularly challenging problem or facing time constraints, online Game Theory homework help can be a convenient and effective solution. By searching for relevant keywords such as "Write My Game Theory Homework," you can connect with experts who specialize in providing tailored assistance.

These services often offer round-the-clock support, ensuring that you can access help when you need it the most. Additionally, the interactive nature of online assistance allows for real-time communication, enabling you to ask questions and receive immediate feedback. This personalized approach can significantly enhance your understanding of Game Theory concepts and boost your confidence in tackling homework assignments.

Conclusion

In the game of mastering Game Theory, strategic moves and thoughtful approaches are key to success. Whether you choose to tackle your homework independently, collaborate with peers, or seek online assistance, the goal remains the same: understanding and applying the principles of Game Theory effectively.

By laying a strong foundation, breaking down complex problems, and leveraging the resources available, you can navigate the challenges of Game Theory homework with confidence. Remember, the journey to success in Game Theory is not a solo endeavor – utilize the support systems around you, both in your academic community and online, to ensure victory in every move you make.

[waitinglistbooks]

“Alan Turing: Unlocking the Enigma”

Who is Alan Turing? In this day an age he’s not an obscure character any longer. His face will be on the £50 note. To be honest, I didn’t who he was until the film “The Imitation Game” came out in 2014. I had heard of the Turing test before – I think I first got notice of it on one of the documentaries that come with the special edition box of the movie trilogy “Matrix”, which I highly recommend, if you’re into philosophy – in the context of philosophy regarding  AI. My academic education is on arts and sciences, so I didn’t got to have a higher education on mathematics, algebra, logic.

Alan Turing was a British mathematician, more well known by his 1947 paper where he talks about the future of computing and of AI (Turing is considered that father of Artificial Intelligence). But he was also one of the precursors of the computer as we know it today (along with Lord Babbage and Ada Lovelace – daughter of Lord Byron). But he also had a brilliant mind to crack codes, and hence his connection with the British secret services during World War II, where he helped crack the Enigma Code. He remained connected with war time secret service during the Cold War, working on the making of the first British nuclear bomb. By the end of his life he started to become much more interested in biology and its patterns, namely the relation of these with the Fibonacci sequence.

Yes, a unique mind. But, also a somewhat unique person. He was a shy person, and very straightforward, having been connected to a communist movement early in his life. Turing wasn’t bending knees for anyone, even if this would mean his downfall, especially regarding his sexual orientation – a crime in the United Kingdom at his time, and which caused for him to undergo “hormone treatment” and prison. A pardon was officially made in 2013 by the British Parliament, without however changing the law at that time. Turing was persecuted by the intelligence police due to his way of life and how this was seen to compromise national security.

David Boyle’s account comes about in a very small book, that you can read in a few hours, but that’s very good to give a wide view on Turing’s life, work, and impact he had on the world. I bought it in 2015, after watching the film, to start learning more about this decisive person, that led the way in so many areas of knowledge and that, sadly, was treated so ill indeed.

“I end by noting something surely perverse, if constitutionally sound enough, about this bill. It would grant Alan a pardon, when surely all of us would far prefer to receive a pardon from him”.

Lord Quirk, House of Lords in July 2013

The author provides a bibliography which I will leave here, if you are interested in learning more about Alan Turing.

Alan Turing homepage www.turing.org

Briggs, Asa (2011), “Secret Days: Code breaking in Bletchley Park”, London: Frontline

Copeland, Jack (ed.)(2002), “The Essential Turing”, Oxford: Oxford University Press

Diamond, Cora (ed.)(1976), “Wittgenstein’s Lectures on the Foundations of Mathematics, Cambridge 1939), Hassocks: Harvester Press

Elridge, Jim (2013), “Alan Turing, London: Bloomsbury/Real Lives

Goldstein, Rebecca (2005), “Incompleteness: The proof and paradox of Kurt Godel”, New York: Norton

Hodges, Andrew (2000), “Alan Turing: The Enigma”, New York: Walker Books.

Leavitt, David (2006), “The Man Who Knew Too Much: Alan Turing and the investion of the computer”, London:Weidenfeld&Nicolson

McKAy, Sinclair (2010), “The Secret Life of Bletchley Park”, London:Aurum Press

Penrose, Roger (1999), “The Emperer’s New Mind: Concerning computers, minds and the laws of physics”, Oxford: Oxford University Press

Searle, John (1984), “Minds, Brains and Science”, Cambridge MA:Harvard University Press

Teuscher, Christof (Ed.)(2004), “Alan Turing, Life and legacy of a great thinker”, Berlin:Springer.

Turing, Sara (1959), “Alan M. Turing”, Cambridge:Heffer&Co.

“Alan Turing: Unlocking the Enigma” written by David Boyle, The Real Press, UK, 2014ISBN 9781500985370