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10 Famous Equations You Can Use in Your Math Homework

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Humans have not invented Math; it has been around for thousands of years. They just discovered it and used equations and formulas to express it. In our day-to-day lives, mathematical equations have become very important. But they are more significant in our homework. They are used to find values that answer math questions. Equations and formulas helped us to add, subtract, multiply, and find the probability and power of the bases.

But many students do not know them or forget when to use which. Then, they find it challenging to do their assignments, which makes them search for math homework help. But worry not, as you can learn about them by reading this article till the end. They will aid you in solving your complex problems. Moreover, if you understand them deeply, you can solve almost all types of questions, and aid you in your exams. So, without wasting further time, let’s start with them.

Table of Contents

Here Is a List of 10 Mathematical Equations

Here is a list of ten mathematical equations you may be required to use in math homework. Knowing them will aid you in getting better grades and doing your assignments with ease. Further, if you grasp a deeper understanding of them, you do not have to waste time learning them by using your books to do your work. You can easily apply them to find the answers. The upcoming content discusses the equations’ founder, date of discovery, use case, and other significant details. So, let’s start with the first one.

Pythagoras’ Theorem

You may have studied it in all your high school classes, so you might remember it line by line. But let’s go through it once again. Pythagoras’ theorem is an equation that tells that the sum of squares of both sides of a right-angle triangle equals the square of the hypotenuse. It is an essential formula as it forms the basis of geometry and trigonometry, which are sub-branches of mathematics. Pythagoras Theorem was invented around 500 B.C., by a Greek philosopher named Pythagoras.

List of Logarithms

Logarithm tells the power of the base to which it should be raised to get the results or argument. If we have log28=3, then in this equation, 2 is the base, 8 is the result, and 3 is the power or the answer to the logarithm function. It has many applications in modern times, but the most common one is measuring the magnitude of an earthquake on a scale from 1 to 10. Moreover, it has three types: natural, decimal, and binary.

E=MC2

If you have never liked the subjects of math or physics, you still may have heard about it, and the most famous equation E=mc2. In this equation, E stands for Energy, M for Mass, and C for speed of light. This equation forms the theory of relativity, which is of two types: general and special. The special theory states that the speed of light is a universal constant and does not change. The general theory takes the research on the law of gravity further.

Chaos Theory

The formula of chaos theory is xt+i=kxt(i-xt). It helps in determining that no event can be predicted in this chaotic system. Given the numerous variables that influence the outcome, it is challenging to predict the result. Robert May invented the formula in 1975 to describe the uncertain behaviour of climate change. But its most famous experiment is the butterfly effect, how cutting the butterfly wings in Brazil leads to a tornado in Asia. To sum up, chaos theory states that an event is unpredictable, as many variables influence it.

Schrodinger Equations

Austrian physicist Erwin Schrodinger introduced the Schrödinger equation in 1925. It is the most fundamental equation in quantum mechanics and explains the behaviour of atoms and sub-atomic particles. This equation helps to figure out the changes in particles over some time. Its use case is in modern-day technology like nuclear weapons, and solid-state lasers. But if these equations sound complex, you can search for Management assignment help to get e`xpert aid to do your task.

Euler’s Identity

Euler’s Identity is used to show an unlikely relationship between the five constants of math. That is why it is the finest of equations. But what are these five constants? They are 0, additive identity (1), value of pi, e (the base of logarithm)and i (imaginary unit of complex number system). They all come in an equation like eiπ + 1=0. Leonhard Euler discovered this formula in 1755. Moreover, it also builds the base of topology, which is modern math.

Law of Gravity

Have you heard the story of an apple falling on the head of Isaac Newton, which made him curious about gravitational forces? That curiosity leads to the development of the theory of gravity and its laws. The theory states that two astral bodies attract each other with a force directly proportional to their masses and inversely proportional to the distance between them. It has led to the formula of F=G(M1M2)/ r2. Later, Einstein replaced this theory with the theory of relativity.

Fourier Transform

Fourier Transform helps one to divide time into several frequencies and simple waves. The invention of this theory in 1822 and its formula were very significant to the world. By using it, one can easily understand the structure of more complex waves, like human speech. Moreover, the formula processes and analyzes modern signalling and data. Further, the Fourier transform helps in understanding the non-periodic functions.

Maxwell Equations

James Clerk Maxwell founded the Maxwell equations in 1861. They help one to find how electric charges interact. Furthermore, they also explain how electric currents and magnetic fields work. The questions give the relationship between magnetism and electricity to the world and from the fundamental laws of modern physics. There are four basic Maxwell equations:

The Maxwell-Gauss Equation
The Maxwell-Thomson Equation
The Maxwell-Ampere Equation
The Maxwell-Faraday equation

The Carnot Principle

The Carnot principle has another name, the second law of thermodynamics, which you may hear the name of. It was discovered in 1824, which introduces a new term to the world w, which is entropy. It tells with certainty, in which direction the potential energy will transform. For instance, if an ice cube goes in a hot coffee, the coffee will not get frozen but the ice cube will melt. This law states it with certainty.

Conclusion

So, these are the ten most famous mathematical equations you can use to do your homework. If you understand them deeply, you do not have to waste time learning them while solving questions. Moreover, knowing them will aid you in answering almost all types of questions in homework and exams. So, learning them will be super beneficial to you. But if all these sound complex, and do not have time to learn all these equations to do your task, you can get expert aid by searching for math homework help. The professionals will aid you in completing your work with assignments with superior quality.