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ASAbulAsar S.abulasar.com2d ago · 15 min read

Singular Value Decomposition: From the Math to C++ with Eigen

Introduction Imagine a cinema recording how many tickets it sells for each film every day. The rows of its table are days, the columns are films, and each number is a ticket count. Suppose Film A sell

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SRSukalyan Roysukalyanroy.hashnode.dev6d ago · 11 min read

The Number That Shouldn't Exist

TL;DR Brahmagupta defined explicit arithmetic rules for zero in 628 CE, shifting it from a placeholder to a formal number. The combination of Aryabhata's positional notation and Brahmagupta's zero m

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SRSukalyan Roysukalyanroy.hashnode.devSep 19 · 12 min read

The Algorithm That Grinds Problems to Dust

TL;DR Aryabhata's kuṭṭaka is the first known algorithm for solving linear indeterminate equations. It reduces large numbers with Euclidean division, then reverses those steps to recover an integer s

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DEDavid Essiendavid-essien.hashnode.devSep 19 · 11 min read

What Math Actually Buys You: Optimizing a Rock-Paper-Scissors Game in C

I was looking through my old projects and found a couple of Rock-Paper-Scissors games I wrote in C a few years back. Why more than one? Because programming is fun, but also because I was experimenting

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郭郭雪林toolexo.hashnode.devSep 16 · 6 min read

Percentage Difference Between Two Measurements

# Percentage Difference Between Two Measurements Two measurements can differ by 5 units, but that number alone does not tell you whether the gap is trivial or large. A 5 mm difference matters a lot

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UUnknownpowerlab.hashnode.devSep 12 · 6 min read

Why Backup Generators Stall on Motor Startup: Modeling Locked Rotor Amps (LRA) and Non-Coincident Inrush Dynamics in TypeScript

During grid outages, residential backup systems often encounter an unexpected failure: a 10,000-watt generator stalls or trips its primary breaker the instant a 3,500-watt central air conditioner atte

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SStepOnesteponeit.hashnode.devSep 12 · 8 min read

C# Generic Math: A Convex Hull with Static Interfaces

Static abstract interface members let a C# algorithm depend on operations instead of concrete numeric types. A convex-hull implementation is a good stress test: its coordinate type must support compar

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SRSukalyan Roysukalyanroy.hashnode.devSep 12 · 12 min read

The Poet Who Accidentally Invented Binary (Sort Of)

TL;DR Piṅgala's prosody procedures enumerate every short-and-long syllable pattern in a structure equivalent to binary counting. Naṣṭa and uddiṣṭa convert between a pattern and its row without const

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郭郭雪林toolexo.hashnode.devSep 12 · 6 min read

How to Average Percentages Without Ignoring Their Denominators

# How to Average Percentages Without Ignoring Their Denominators A percentage is a ratio, not a standalone number. That sounds obvious, but it is the reason simple averages often produce misleading

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SStepOnesteponeit.hashnode.devSep 11 · 23 min read

Generic Math in C#: The Complete Guide

Generic Math is easy to dismiss as a feature for numerical libraries. Its more important contribution is static abstraction: generic code can require operators, identities, parsing, and other type-lev

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Trending tags this week

Singular Value Decomposition: From the Math to C++ with Eigen

The Number That Shouldn't Exist

The Algorithm That Grinds Problems to Dust

What Math Actually Buys You: Optimizing a Rock-Paper-Scissors Game in C

Percentage Difference Between Two Measurements

Why Backup Generators Stall on Motor Startup: Modeling Locked Rotor Amps (LRA) and Non-Coincident Inrush Dynamics in TypeScript

C# Generic Math: A Convex Hull with Static Interfaces

The Poet Who Accidentally Invented Binary (Sort Of)

How to Average Percentages Without Ignoring Their Denominators

Generic Math in C#: The Complete Guide