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∑ Maths 122 ↗

› Algebra

› Algebra 5

Exponential calculator Heron's formula via the Pythagorean theorem Linear equation solver Logarithm calculator Quadratic equation solver

› Cube Identities 6

Cube of (a−b−c) Cube of a Difference (a−b)³ Cube of a Sum (a+b)³ Cube of a Trinomial (a+b+c)³ Difference (a+b)³ − (a−b)³ Sum (a+b)³ + (a−b)³

› Cube of Linear Binomial 1

Cube of a Linear Binomial (ax+b)³

› Difference of Two Squares 2

Difference of Two Squares a²−b² General Difference of Squares A²−B²

› Other Useful Identities 6

(a+b)² + (a−b)² = 2(a²+b²) (a+b)² − (a−b)² = 4ab (ax+b)(cx+d) (x+a)(x+b) (x+a)(x−a) (x−a)(x−b)

› Product of Three Terms 1

a³+b³+c³−3abc

› Square Identities 6

Square of (a+b−c) Square of (a−b+c) Square of (a−b−c) Square of a Difference (a−b)² Square of a Sum (a+b)² Square of a Trinomial (a+b+c)²

› Square of Linear Trinomial 1

Square of a Linear Trinomial (ax+by+c)²

› Substitution Identities 4

If x + 1/x = a, then x² + 1/x² = a² − 2 If x + 1/x = a, then x³ + 1/x³ = a³ − 3a If x − 1/x = a, then x² + 1/x² = a² + 2 If x − 1/x = a, then x³ − 1/x³ = a³ + 3a

› Sum / Difference of Two Cubes 2

Difference of Two Cubes a³−b³ Sum of Two Cubes a³+b³

› Arithmetic

› Arithmetic 5

Fraction calculator GCD (Greatest Common Divisor) calculator LCM (Least Common Multiple) calculator Percentage calculator Ratio calculator

› Geometry

› 2D Shapes 9

Circle Area Calculator Ellipse Area Calculator Parallelogram Area Calculator Rectangle Area Calculator Regular Polygon Calculator Rhombus Area Calculator Square Area Calculator Trapezoid Area Calculator Triangle Area Calculator

› 3D Solids 7

Cone Volume Calculator Cube Volume Calculator Cuboid Volume Calculator Cylinder Volume Calculator Sphere Volume Calculator Square Pyramid Volume Calculator Torus Volume Calculator

› Angles 1

Angles & angle types

› Triangles 2

Heron's formula Pythagoras' theorem

› Real-World Trigonometry

› Acoustics & Music 1

Sound Beat Frequency

› Astronomy 1

Distance to a star by parallax

› Construction 1

Roof pitch and rafter length

› Electronics 1

AC Circuit Voltage

› Engineering & Rides 1

Ferris Wheel Height

› Forensics 1

Impact angle of a trajectory

› Graphics & Technology 1

2D Rotation (Graphics)

› Heights & Distances 1

Measuring a tree's height

› Marine Biology 1

Ocean depth from angled sonar

› Navigation & Aviation 1

Tracking an aircraft's altitude

› Oceanography 1

Tide Height Prediction

› Physics & Motion 1

Pendulum Period & Swing

› Trigonometry

› Advanced Applications 8

Euler's Formula & de Moivre Inverse Trigonometric Functions Modelling Periodic Phenomena Polar Coordinates Real-World Trig Problems Reciprocal Trig Functions Small-Angle Approximation Wave Superposition (a sinx + b cosx)

› Foundations 2

Intro to sin, cos, tan Similar triangles & ratios

› Non-Right-Angle Trigonometry 5

Ambiguous case (SSA) Area of any triangle (½·a·b·sin C) Cosine rule Heron's formula via the cosine rule Sine rule

› Right-Angle Trigonometry 5

3D trigonometry Angles of elevation & depression Compass bearings Find a side Find an angle

› Trigonometric Equations 2

General Solution Solving Trig Equations

› Trigonometric Functions & Graphs 7

Degrees & radians Period & amplitude The unit circle Transformations: y = A·sin(Bx + C) + D y = cos x y = sin x y = tan x

› Trigonometric Identities 6

Compound-Angle Formulae Double-Angle Formulae Exact Trigonometric Values Half-Angle Formulae Product-to-Sum Formulae Pythagorean Identities

› 3D Models of Numbers

› Chaos & Dynamics 1

Lorenz Attractor

› Famous Equations 2

Euler's Formula Fourier Series

› Sequences & Patterns 4

Collatz Trajectories Divisor Surface Factorial Spiral Prime Spiral

› Surfaces & Shapes 2

Morphing Surface Pascal Terrain

› Probability 3

Combination Calculator Permutation Calculator Probability Calculator

› Statistics 5

Average (Mean) Calculator Median Calculator Mode Calculator Standard Deviation Calculator Variance Calculator

⚛ Physics 24 ↗

› Astronomy & Gravitation

› Orbits 1

Kepler's Laws

› Electricity

› Circuits 2

Electrical Power Ohm's Law

› Fluids & Matter

› Buoyancy 1

Archimedes' Principle

› Density & Pressure 2

Density Pressure

› Gas Laws 1

Boyle's Law

› Kinematics

› Acceleration 1

Acceleration

› Speed, Distance & Time 3

Distance Speed Time (from Speed & Distance)

› Mechanics & Forces

› Energy 2

Kinetic Energy Potential Energy

› Newton's Laws 4

Newton's First Law (Inertia) Newton's Laws of Motion Newton's Second Law (F = ma) Newton's Third Law (Action–Reaction)

› Work & Power 2

Mechanical Power Work Done

› Time Tools

› Clock & Calendar 3

Days Between Dates Time Zone Converter Work Hours Calculator

› Modern Physics

› Relativity 1

E = mc² (Mass–Energy Equivalence)

› Time & Motion 1

Projectile motion

⌨ Computers 38 ↗

› Data Structures and Algorithms (DSA)

› Adversarial & Game-Tree 3

Alpha-Beta Pruning Minimax Monte Carlo Tree Search (MCTS)

› Approximate Nearest Neighbour 1

HNSW (Vector / Semantic Search)

› Approximate Nearest Neighbour (ANN) 1

FAISS (IVF + Product Quantization)

› Graph Traversal 3

Bidirectional Search Breadth-First Search (BFS) Depth-First Search (DFS)

› Hash-Based 3

Bloom Filter Hash Table Lookup LSH (Locality-Sensitive Hashing)

› Information Retrieval 3

Inverted Index PageRank TF-IDF & BM25 (Relevance Ranking)

› Informed & Heuristic 4

A* (A-Star) Search Dijkstra's Algorithm Greedy Best-First Search IDA* (Iterative Deepening A*)

› Interval & Divide-and-Conquer 6

Binary Search Exponential Search Fibonacci Search Interpolation Search Jump Search Ternary Search

› Linear & Sequential 2

Linear Search Sentinel Linear Search

› Probabilistic & Sequence 1

Beam Search

› String & Pattern Matching 5

Aho-Corasick Boyer-Moore Knuth-Morris-Pratt (KMP) Rabin-Karp Suffix Trees & Suffix Arrays

› Tree-Based 6

AVL / Red-Black Trees (Self-Balancing) B-Tree / B+ Tree Binary Search Tree (BST) LSM Tree (Log-Structured Merge Tree) Skip List Trie (Prefix Tree)

⚗ Chemistry 22 ↗

› Periodic Table

› Elements Explorer 1

Interactive Periodic Table

› Chemical Kinetics

› Rate Laws 1

First Order Rate Law

› Reaction Rate 1

Rate of Reaction

› Temperature Dependence 1

Arrhenius Equation

› Colligative Properties

› Dissociation 1

van 't Hoff Factor (i)

› Freezing & Boiling Points 2

Depression in Freezing Point (ΔT_f) Elevation in Boiling Point (ΔT_b)

› Gas Solubility 1

Henry's Law

› Osmosis 1

Osmotic Pressure (π = CRT)

› Vapour Pressure 1

Raoult's Law

› Electrochemistry

› Cell Potential 1

Nernst Equation

› Electrolysis 1

Faraday's Law of Electrolysis

› Thermodynamics 1

Gibbs Free Energy (ΔG)

› Equilibrium & Acids/Bases

› Acids & Bases 2

Ionic Product of Water (K_w) pH Calculator

› Equilibrium 2

Equilibrium Constant (K_c) Solubility Product (K_sp)

› Solutions & Concentration

› Concentration Units 4

Molality (m) Molarity (M) Mole Fraction (x) Normality (N)

› Thermochemistry

› Reaction Enthalpy 1

Hess's Law

¤ Accounting 16 ↗

› Corporate / Business Accounting 2

Break-even Calculator (Basic) Profit Margin Calculator

› Finance 1

Compound interest

› Investment Analytics 2

CAGR Calculator ROI Calculator

› Loans & Credit Analytics 1

Interest Rate Calculator

› Loans & Debt 3

Amortization Calculator Loan EMI Calculator Mortgage Calculator

› Personal Finance / Credit 1

Simple Interest Calculator

› Personal Finance / Wealth Management 1

SIP Calculator

› Real Estate / Property 1

Property Value Estimator

› Sales & Retail Accounting 1

Discount Calculator

› Wealth Management 3

Dividend Calculator Future Value Calculator Investment Growth Calculator

📊 Business & Finance 19 ↗

› Core 2

Commission Calculator Markup Calculator

› Impact Metrics 17

CAC Reduction Impact Calculator Churn Rate Impact Calculator Conversion Rate Impact Calculator Customer Retention Impact Calculator GDP Growth Impact Calculator Inflation Impact Calculator Interest Rate Change Impact Calculator Investment Return Impact Calculator LTV Improvement Impact Calculator Marketing Spend Impact Calculator Portfolio Risk Impact Calculator Price Change Impact Calculator Profit Impact Calculator Revenue Impact Calculator Salary Increase Impact Calculator Sales Volume Impact Calculator Tax Rate Change Impact Calculator

🏠 Real Estate 6 ↗

› Advanced 6

Break-Even Calculator (Property, Advanced) Buy vs Rent Calculator Cashflow Simulation Calculator Mortgage Stress Test Calculator Property ROI Calculator (Advanced) Rental Yield Calculator

⚽ Sports 25 ↗

› Basketball 6

Defensive Impact Rating Calculator (Basketball) Lineup Impact Calculator Player Efficiency Impact Calculator Points Impact Calculator Shot Selection Impact Calculator Win Shares Impact Calculator

› Cricket 6

Batting Impact Score Calculator Bowling Impact Rating Calculator Economy Rate Impact Calculator Match Outcome Impact Calculator Player Form Impact Calculator Strike Rate Impact Calculator

› Football / Soccer 8

Assist Impact Calculator Defensive Impact Rating Calculator (Football) Expected Goals (xG) Impact Calculator Goal Impact on Win Probability Calculator Injury Impact Calculator Player Performance Impact Score Calculator Possession Impact Calculator Transfer Value Impact Calculator

› Other Sports 5

F1 Pit Stop Impact Calculator Injury Recovery Impact Calculator Team Chemistry Impact Calculator Tennis Match Momentum Calculator Training Load Impact Calculator

📈 Business Simulation 5 ↗

› Models 5

CAC Impact Simulator Funnel Optimization Calculator LTV Growth Simulator Pricing Strategy Impact Model SaaS Growth Forecast Calculator

⚙ Engineering 17 ↗

› Electronics

› Applications of Fourier 6

Diffraction Patterns (Aperture → Light) ECG Noise Filtering Heat Equation — Fourier's 1822 Problem Image Filtering (1D Pixel Row) OFDM — 5G Sub-Carriers Vowel Synthesis from Formants

› Fourier Waveforms 7

Custom Harmonics — Additive Synthesis General Fourier Series (Your Coefficients) Half-Wave Rectified Sine Series Sawtooth Wave Fourier Series Sine & Cosine Building Blocks Square Wave Fourier Series Triangle Wave Fourier Series

› Network Planning

› Cable TV 1

Cable Network Planner

› Civil 3

Brick Quantity Calculator Concrete Volume Calculator Simple Beam Deflection Calculator (Point Load, Centre)

♡ Health 8 ↗

› Body Composition 3

BMI Calculator Body Fat Calculator Ideal Weight Calculator

› Diet & Nutrition 2

Calorie Calculator Water Intake Calculator

› Fitness & Cardio 1

Heart Rate Zone Calculator

› Metabolism & Energy 2

BMR Calculator TDEE Calculator

⇄ Conversions 33 ↗

› 1 · Basic Converters 11

Area Converter Currency Converter Data Storage Converter Energy Converter Force & Thrust Converter Mass Converter Power Converter Scale Converter Speed Converter Temperature Converter Time Converter

› 2 · Mechanics & Fluids 8

Acoustics & Signal Converter Angular Velocity Converter Chemical Specific Energy Converter Flow Rate Converter Pressure Converter Specific Impulse Converter Stress & Modulus Converter Viscosity Converter

› 3 · Thermal, Materials & Everyday 8

Clinical Lab Value Converter Clothing Size Converter Density & Shipping Weight Converter Heat Flux Converter Retail Packaging Converter Thermal Conductivity Converter Thermal Expansion Coefficient Converter Volume Converter

› 4 · Dimensionless Number Engines 6

Biot Number Calculator Mach Number Calculator Nusselt Number Calculator Prandtl Number Calculator Reynolds Number Calculator Strouhal Number Calculator

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