Practical knowledge library

Small Ideas That Solve Real Problems

Find focused programming tips and useful math techniques, then move from the quick answer to a complete course, guide, or practical browser tool.

60Published tips
30Programming
30Mathematics
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Programming tips and math tricks

Each entry starts with the problem, explains the direct solution, and shows why the technique is useful.

Programming

Use Array.from() to Convert Iterables

Problem

Converting NodeLists, Sets, or strings to arrays requires complex manual conversion.

Solution

Use Array.from() to convert any iterable into an array with optional mapping.

Benefit

Universal conversion solution that works with all iterable types.

Math

Day of Week Algorithm (Mental Calendar)

Problem

Figuring out what day of the week a date falls on requires a calendar.

Solution

Use Zeller's congruence simplified: Learn anchor days for each month and count forward/backward.

Benefit

Impress others by calculating any date's day of week mentally.

Programming Popular

Use Short-Circuit Evaluation

Problem

Conditional execution often requires verbose if statements for simple cases.

Solution

Use && for conditional execution and || for fallback values in one line.

Benefit

Reduces simple conditionals from 5 lines to 1 line.

Math

Compound Interest Rule of 72

Problem

Calculating how long it takes for investment to double requires complex formulas.

Solution

Divide 72 by the interest rate to get approximate years to double.

Benefit

Quick investment doubling time calculation without formulas or calculators.

Programming

Use JSON.parse() with Reviver Function

Problem

Parsing JSON with dates or special types requires manual post-processing.

Solution

Use the reviver parameter in JSON.parse() to transform values during parsing.

Benefit

Automates type conversion and eliminates separate transformation loops.

Math

Estimate Cube Roots

Problem

Finding cube roots mentally is extremely difficult.

Solution

Memorize cubes 1-10, then find which two cubes the number falls between.

Benefit

Estimate cube roots within ±0.5 by knowing 10 reference points.

Programming Popular

Use Object Shorthand Properties

Problem

Creating objects from variables requires repetitive key-value pairs.

Solution

Use ES6 shorthand to omit the value when key and variable name are the same.

Benefit

Reduces object creation code by 50% and improves readability.

Math Popular

Percentage Increase/Decrease Formula

Problem

Calculating percentage change between two values is confusing and error-prone.

Solution

((New - Old) / Old) × 100. Positive = increase, negative = decrease.

Benefit

Universal formula for all percentage change calculations.

Showing 41-48 of 60 tips

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Math tricks with explainable steps

Practice useful calculation methods and problem-solving ideas without treating the result as magic. The goal is to understand why the method works and when it is reliable.

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