12/11/2022 0 Comments Difficult equation maker![]() Thermodynamic entropy is, roughly speaking, a measure of how disordered a system is. " This states that, in a closed system, entropy (S) is always steady or increasing. It effectively forms an essential component of electromagnetism, optics, fluid dynamics, and heat transfer. The wave equation was an early differential equation, and the techniques developed to solve the equation opened the door to understanding other differential equations as well.". "The wave equation describes the behavior of waves - a vibrating guitar string, ripples in a pond after a stone is thrown, or light coming out of an incandescent bulb. Newton's Law of Gravity is one of the most fundamental equations in physics. "Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers." - Wikipedia. It is a linear partial differential equation that describes the wave function of a quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. It also helps keep cats in a form of suspended animation between life and death, apparently.īut seriously, this equation literally changed the field of quantum physics forever. Schrodinger’s Equation is essential for modern computer chips and lasers. 6. Schrodinger’s Equation Source: YassineMrabet/Wikimedia Commons Within a normal distribution, most data points will fall somewhere in the middle, with fewer individuals towards each extreme. ![]() It can be used for anything from IQs within a population to the results of an exam amongst a group of students. ![]() They help to describe the distribution of data in a given set. We are all familiar with bell curve graphs today. It is used to assist in explaining everything from black holes to the big bang, to nuclear power, and also GPS on our phones. ![]() Relativity Source: Peat Bakke/FlickrĮinstein's famous equations on Relativity not only answered many previously unsolved questions, but it also helped change the way we look at time, space, and gravity. Using logarithm tables allowed the elimination of many tedious steps in calculations in fields such as surveying, navigation, and engineering. They helped us make tedious calculations before calculators existed.Ī logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number. Logarithms are another type of equation that changed the world. After its invention, it joined algebra and geometry as one of the pillars of mathematics. It was developed independently by the great Isaac Newton and Sir Gottfried Leibniz. " Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way, that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations." - Wikipedia. It is also used heavily in architecture, woodworking, and many other fields. It enabled us to be able to formulate better maps and help find the shortest distance between things amongst other things. Pythagorean Theorem Source: MaxpixelĪ staple of school mathematics lessons, this equation is one that actually changed the world. This list is far from exhaustive and is in no particular order. Here are ten of the most important equations that have changed the world. This theory effectively helps us deal with complex systems whose behavior is highly sensitive to slight changes in conditions so that small alterations can give rise to unintended consequences.Ĭhaos Theory is the science of surprises, and not always pleasant surprises. The equation is as follows:- Modified from ![]() Chaos theory is an interdisciplinary theory stating that within the apparent randomness of chaotic complex systems, there are underlying patterns, constant feedback loops, repetition, self-similarity, fractals, and self-organization." - Wikipedia. "Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. They help you search the internet, make your computer function, and keep planes in the air, to name but a few. Why are equations important?Įquations are used every day for many, many, things. What is the longest equation in the world?Īccording to Sciencealert, the longest math equation contains around 200 terabytes of text. Called the Boolean Pythagorean Triples problem, it was first proposed by California-based mathematician Ronald Graham, back in the 1980s. ![]()
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