## Resource: Moments-of-inertia

Expressions for moments-of-inertia $I$ of various shapes about various axes-of-rotation. For other axis placements, the parallel-axis theorem can be used ($d$ is distance from a…

## Resource: Forces overview

A general brainstorm for relevant and common-seen forces is listed below. Symbols are shown where often used and formulas where known and useful. (Be aware…

## Resource: Sine and cosine

Sine and cosine are mathematical functions defined as the horizontal and vertical “length” or coordinate, respectively, to any point on a unit circle. Different angles…

## Resource: Types of proofs

Methods/types of proofs exist for various purposes and scientific fields. Philosophical, psychological, medical, biological etc. Here we focus on mathematical and physical proofs. Mathematical proofs…

## Resource: Rules of algebra

In mathematics, everything is based on a set of five fundamental definitions called axioms. Based on those, we have several more definitions (such as ‘nothing…

## Resource: The four basic operations

The four basic arithmetic operations with official symbols and terms: Note the possibility of skipping the multiplication sign completely. Also note the possibility of replacing…

## Resource: Often-used units

Often-used units converted into SI units. Units are listed for length, time, mass, quantity (amount of substance), temperature, angle, area, volume, velocity, energy and power.…

## Resource: The SI unit system

The SI unit system (abbreviated from French ‘Système international d’unités’) defines an official international collection of units that can and is recommended to be used…

## Resource: Geometric shapes

Overview of many usual geometric shapes. Formulas for areas, volumes and a few lengths/circumferences are shown for the shapes. Symbols used: $L$ is path length,…

## Resource: Pi

Pi $\pi$ is a constant of nature with infinitely many decimals (an irrational number). It is defined as the ratio between circumference and diameter of…

## Resource: Multiplication tables

Multiplication patterns can be easily memorised. Read from the top, one column at a time. Every number in the table is the result of the…

## Resource: Compass directions

Compass directions (also called ‘compass points’) are displayed on a compass rose (also called ‘wind rose’). 32 compass directions have been internationally defined:

## Resource: Prefixes

All prefixes in the SI-system: Examples of magnitude scale for the prefixes (shown for size with the ‘metre’ unit): A feeling of the size scale…

## Resource: Alphabets

As mathematical symbols, letters are often used, usually from the English, Danish-Norwegian and Greek alphabets.