A ratio is an expression that shows two ratios are equal, and in everyday life, it also refers to the proportion of a part to the whole.

Measurement usually refers to using instruments to determine specific values for things like space, time, temperature, speed, and so on. It can also mean checking or gauging various conditions like distance, depth, or height. For example, carefully measuring wall dimensions before buying furniture, or an engineer performing precise checks on a building, are all considered measurement.

Eratosthenes (around 275–194 BC) was a famous ancient Greek mathematician, astronomer, and geographer, born in Cyrene, Libya. He's best known for coming up with the first method to measure the Earth's circumference, getting an estimate with less than 5% error, and for being the first to use the term 'geography.' Because of this, he’s often honored as the 'Father of Geography.'

The Sieve of Eratosthenes is an ancient algorithm for quickly finding all prime numbers within a certain range, proposed by the ancient Greek mathematician Eratosthenes.

Albert Einstein was one of the greatest physicists of the 20th century, came up with the theory of relativity and the energy-mass equation, and won the 1921 Nobel Prize in Physics.

The "bitwise method" usually refers to "bitwise operations," which are low-level calculations that perform logic or shift operations on the binary bits of integers. It's not an independent "counting system" or "number base" (the latter is often mistakenly called "bitwise counting method").

An octagon is a closed shape made up of eight line segments, with a total interior angle of 1080 degrees. It can be a regular octagon or an irregular one, and in everyday life, it’s often used in architecture and sign design.

The octahedron is actually a big family; any polyhedron made up of eight faces is called an octahedron. But the one people usually talk about is the most regular one, the 'regular octahedron.' A regular octahedron is made up of 8 congruent equilateral triangles, has 6 vertices and 12 edges, and looks like two square pyramids joined at their bases.

A percentage is a number that shows what fraction of another number it is, also called a percent or percentage rate. It's a commonly used way to express ratios in math and everyday life, making it easier to compare different data.

Plato (English: Plato, Ancient Greek: Πλάτων, 427 BC (or 428 BC) – 347 BC), originally named Aristocles, was a man born in Athens. He was a great philosopher, thinker, educator, and mathematician of ancient Greece, the founder of Western objective idealism, and one of the greatest philosophers and thinkers in Western culture.