7 equations that change the world

Math equations are often performed in a dry, confusing and complex way but their value for humanity is immense.

Pythagoras's Theorem

Pythagoras's theorem is used to determine the relative position in satellite navigation (GPS).

This theorem states that in a right triangle, the square of the hypotenuse is equal to the total mean of the remaining edges. Although this theorem is attributed to Pythagoras, there is evidence that Euclid is the first to prove success. It may even be known to the Babylonians more than 1,000 years ago, before Pythoragas discovered it, according to Business Insider.

The equation of the relationship between the hypotenuse and the remaining edges in the right triangle is the core of many problems in geometry, linking geometry to algebra, and is the foundation of trigonometry. Without it, accurate surveys, mapping techniques, and orientation would not be possible.

In modern science, Pythagoras' theorem is used to determine the relative position in satellite navigation (GPS).

Newton's law of universal gravitation

Newton's law is important because it describes how gravity works everywhere.

This law allows people to calculate the gravitational force between any two objects, developed by Isaac Newton based on the previous astronomical and mathematical work of physicist Johannes Kepler. He is also likely to absorb Robert Hooke's idea.

In classical physics, the law of universal gravitation helps describe the basic movements of the universe and the Earth. Although this law was completed and replaced by Einstein's theory of relativity, it still describes how objects in space, such as stars, planets, spacecraft and people, interact with together. Until now, researchers still used Newton's equations to design satellite orbits and transducers.

Newton's law is important because it describes how gravity works everywhere , from a ball falling to the Earth's surface to the evolution of galaxies and the universe.

Complex numbers

Complex numbers are necessary to describe electrical systems and a range of modern data processing algorithms.

Complex numbers are defined by a combination of real numbers and virtual numbers, where units of virtual numbers are defined by mathematicians by the square root of -1. The virtual number was originally pointed out by the famous mathematician Girolamo Cardano, then it was expanded by Rafael Bombelli and John Wallis, until it was perfected by William Hamilton.

Virtual numbers and complex numbers allow us to find the solution of any equation, while the equation can be indefinite for real numbers. The calculations can therefore be extended and there is no limit.

Currently, most modern technology, from electric lighting to digital cameras, requires complex numbers in the calculation. According to Ian Stewart mathematician, complex numbers are needed to describe electrical systems and a range of modern data processing algorithms.

Wave function equation

Wave function equation is widely applied in modern life.

Wave function equation is a differential equation that describes the behavior of waves, such as vibrations of violin strings. It was first mentioned by scientists Daniel Bournoulli and Jean D'Alembert in the 18th century.

Based on the wave function equation, the characteristics of mechanical waves such as earthquakes, sound waves such as sound, and quantum waves such as propagation of electromagnetic waves can be accurately described. The wave function equation is widely used in modern life, from the sound design of the opera theater, simulating how the bomb effect exploded in the film to predict the impact of the earthquake.

System of electromagnetic equations Maxwell

Maxwell's system of equations plays an important role in classical electromagnetism description.

The nature of Maxwell's electromagnetic equation system describes the relationship between electric and magnetic fields. Observations on the relationship between electricity and magnetism have been recorded by scientist Michael Faraday and physicist James Clerk Maxwell transformed them into mathematical equations.

Maxwell's system of equations plays an important role in classical electromagnetism description. By using Maxwell's equations, people can understand the process of propagating electromagnetic waves in space, their energy distribution, and other properties. Applications involving transceiver antennas, radars, televisions, or modern communications information all operate based on Maxwell's electromagnetic equation.

Einstein's theory of relativity

General relativity describes gravity as a curved space-time system.

The theory of relativity of Albert Einstein physicist is generalized by the equation that relates directly to the energy and mass of matter, in which the speed of light is constant. Relativity states that the speed of light is universal and the speed of time is different for those who move at different speeds.

General relativity describes gravitational force as a curved space-time system, bringing a revolution in human understanding of gravity from Newton's law. General relativity also changes our understanding of the universe's origin, structure and final fate.

Schrodinger's equation

The Schrodinger equation has brought about a revolution in the physical perspective in the micro world.

The Schrodinger equation is the heart of quantum mechanics , describing the wave state of matter particles, instead of the particle state according to the Newtonian classical equation.

The wave-particle dual nature of the quantum world was pointed out by the physicist Louis-Victor de Broglie in 1924. The wave equation of quantum particles was set up by Erwin Schrodinger in 1927 to represent the way in which the particles Deaths and atoms change over time.

The Schrödinger equation has brought about a revolution in the physical view of the microscopic world, where matter particles exist in probabilistic states rather than in certain positions. Along with general relativity, quantum mechanics is one of the two most successful scientific theories in human history so far, widely used in modern technology, such as nuclear energy. , semiconductor chip, laser.