#mathematics

Day 5 of Coding: Primes

Math

Day 4 of Coding : Ugly Numbers 2

Learn Min Heap with me

А вас ничто не настораживает в этом простом числе?

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The Bounded Gaps Constants Are Not Approximating the Twin Prime Conjecture — They Are Describing a…

A note on what 70,000,000 → 246 → 6 actually measure

Nonlinear Calculus and Solving Three-Dimensional Navier–Stokes

The paper develops an author-originated matrix-of-error framework called nonlinear calculus and applies that through one shared…

I Did Not Solve it… She Did!

The Answer came when I was Asleep

The Music of Primes

What the wobble of the Riemann zeta function sounds like — and why it’s the most beautiful code I’ve ever found.

Decimals and Fractions Are the Same Number. Here’s How to Move Between Them.

If you’ve ever stared at 0.375 and wondered what fraction it "really" is, or squinted at 7/8 trying to picture it as a decimal, you're…

Sintesis Relativitas Linguistik dan Fisika Kuantum dalam Film Arrival

Bumi tiba-tiba didatangi oleh 12 pesawat alien yang muncul di berbagai lokasi berbeda, memicu kepanikan global karena ketakutan akan…

— А что, если существует параллельная Вселенная, в которой основная теорема интегрального…

— Тогда там определённый интеграл не равен разности значений первообразной на концах отрезка?

Why Some Countries Still Measure Distance in Old Imperial Units

A kilometre is logical. A thousand metres make one. A metre becomes a centimetre by moving the decimal point. The system is neat, universal…

The Butterfly Effect Is Real — But It’s Not What the Movies Told You

How to become a reality tuner, and why the Hollywood version gets the most important part exactly backwards.

Online Maths and Phonics Classes: Building Strong Foundations for Children

Online Maths Classes: How Personalized Learning Helps Children Build Confidence and Stronger Skills

Have We Understood Pi, e, and Phi Wrongly for Centuries?

A whole new and radical perspective?

TCAP — Ξ⁺ : La dynamique qui révèle les nombres premiers

De l’adjacence des facteurs premiers à un générateur factoriel déterministe

TCAP — Ξ⁺:The dynamics that reveal prime numbers

From prime-factor adjacency to a deterministic factorial prime generator

Matrices in Data Science and AI: Robo’s Photo Booth Time Machine

How a mischievous robot photographer taught me that neural networks are basically really fast photo editors

Faure is “BORN”- The Second Baseline

When Mechanized Mathematics Redraws the Map

PINNs vs Neural Operators

Solving a PDE Is Not the Same as Learning the Solver

Laplace’s Method: How to Solve an Integral You Can’t Solve

One Gaussian bump under the peak turns an impossible integral into Stirling’s formula — and much of statistical physics.

Stop Memorizing Numerical Methods: They’re All Doing the Same Thing

Finite Element Methods (FEM), Finite Volume Methods (FVM), Finite Difference (FDM), Material Point Method (MPM)… it sounds like an…

Data Science Day 28

Mean, Median and Mode

The Future of Mathematics: AI’s Impact on the Field

Or, how AI Is Changing Mathematics

Algebra Help for High School Students: A Practical Guide to Understanding, Practising & Mastering…

Algebra is often the point where mathematics starts feeling very different.

Part 1: The Mechanics, Chaos, and Economic Toll of Heuristic Engineering in the industry — The…

This is a series of posts about the Dinitz-Garg-Goemans (DGG) conjecture, which describes a very special issue in many industrial areas.

The Child Who Doesn’t Know She Can Think

What rural Tanzania is owed in the age of artificial intelligence

Statistics in Biology: LASSO Regression

Introduction

The world body of mathematicians is divided.

The Genius of Eratosthenes

How a Well, a Pole, and a Shadow Measured the Circumference of the Earth

Best online math tutors for high school

If you are unable to Pass your Exams, Quizzes, Tests or Unable to Handle Homework Assignments or full course online, Get paid help from…

The Only Four Bits of Maths You Need to Understand Machine Learning

A plain-English map of what the maths actually does — with pictures.

Best calculators for advanced math

If you are unable to Pass your Exams, Quizzes, Tests or Unable to Handle Homework Assignments or full course online, Get paid help from…

Accounting Career Paths for South African Students

Accounting is often seen as a subject focused on numbers, financial statements, and calculations, but its career possibilities extend far…

How would Lagrange solve the general cubic?

Forget everything you know about factoring — here is the ultimate pen-and-paper method for crushing cubic equations.

The Central Limit Theorem: Why the Normal Distribution Rules the World

Part 2 of a series on the two pillars of probability theory.

OpenAI’s Astra: The AI That Could Change Scientific Discovery Forever

OpenAI has shifted artificial intelligence beyond being a writing assistant and into the realm of independent scientific discovery.

Why Pure Reason Fails

Part 9 of the Elucidation series. Previously: The Difference Between Describing and Explaining

From the Go Board to the Fields Medal: How Yu Deng Took On a Problem That Had Stood for 125 Years

His work connecting microscopic particles to macroscopic laws shows what extreme concentration can make possible.

Designing for the Edge: Coastal Resilience in Luxury Resorts

The Mathematics of Coastal Resilience for Luxury Resorts

The Feigenbaum Constant: All Routes to Chaos Agree on 4.669

A dripping faucet and convecting liquid helium surrender the same digits — universality, imported from pure mathematics.

যোগ-বিয়োগ করার সহজ টেকনিক | Easy Addition & Subtraction Tricks

গণিতে দ্রুত যোগ ও বিয়োগ (Addition & Subtraction) করতে পারা পরীক্ষা ও দৈনন্দিন জীবনে খুবই গুরুত্বপূর্ণ। সঠিক কৌশল ব্যবহার করলে বড় সংখ্যার…

Statistics: Cox Proportional Hazards Model

Introduction

Before Improving the Algorithm, Improve the Problem

A lesson from conformal geometry and electrostatics

Why Does Looking Both Ways Make a Computer More Accurate?

The Question

গসাগু নির্ণয়ের শর্টকাট পদ্ধতি | Fast GCD (HCF) Shortcut Method

গসাগু (GCD/HCF) গণিতের একটি গুরুত্বপূর্ণ বিষয়। সঠিক শর্টকাট পদ্ধতি জানা থাকলে খুব দ্রুত দুই বা ততোধিক সংখ্যার গসাগু নির্ণয় করা যায়। এই…

The Unreasonable Effectiveness of Fourier Transforms in Modern Data Science

Subtitle: From convolutions to generative models, the frequency domain remains the central舞台 of structured learning.

The Map That Walked Backwards Through the Numbers

The finite reality that may be hiding beneath the triangle, the loop and the receipt (Paper 21b)

Jacobian Conjecture and The Devil’s Finite Element

Short Python notebook that talks about the recently produced counter-example for the Jacobian conjecture using AI

Why Is the Universe Comprehensible?

by Claudio Bresciano

Qubits and Superposition — What the Math Actually Means

A practical guide to understanding quantum states through bra-ket notation and code