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Mathematical Equations That Remarkably Impacted The World

Calculation, equation, and, math is continuously revolutionizing our world. From the time mankind wanted to calculate the field area for growing crops – there was a thirst to know and understanding the secrets of the world. Why apple always fall down rather than flying, is there a pattern to the movement of star, what can assist in navigation, and why birds fly while we cannot – these questions of the curious minds lead to the thirst of known and the answer provided the mean to modernize the world one invention at a time!

1- Calculus

Due to the applicability of calculus, it is not only used in mathematics but in engineering biology, physics, chemistry, and many more branches of science. Calculus can help you in the determination of weather pattern movement of sound, movement of light, and motion of astronomical objects.
Euler’s Polyhedra Formula
Fourier Transform

2- Law of Gravity

Gravity is an undeniable force responsible for the existent of our planet. The law of gravity helps in the evaluation of weight and speed leading to significant modernizations including race car amd airplanes.

3- Logarithms

There are many example of the use of logarithms in the real world starting from interest rate to Google page rankings. Logarithms are also used to detect changes in multiplication and help count them.

4- Maxwell’s Equations

It is the set of 4 differential equations that describe the relation between electricity and magnetism. These equations are the basis for understanding the behavior of electromagnetism. From MRI scanners in the hospital to computer – the credit goes to the basic understanding of Maxwell’s equations.

5- Navier-Stokes Equations

These differential equation helped us understand the behaviors of flowing liquids such as smoke rising from cigarette, water moving through pipes, and air flow over plane wings. Navier-Stokes Equations are also used to model the weather and observe ocean currents.

6- Normal Distribution

Normal probability also known as normal distribution forms a bell curve and it is signifint in statistics. It is used in social sciences, physics, and biology to define the behavior of large groups of independent processes. Normal distribution is followed in the measurement of errors, heinght, IQ score, and blood pressure.

7- Quadratic Equation

There are various functions that are modeled by quadratic equation including shooting a cannon, hitting golf ball, and diving. You can calculate the expected profit you are going to get if you are using the quadratic equation. It can prevent unwanted surprises and provide you with the accurate numbers and what to expect in the future. Even in the business where you are simply selling bottled water, it can help you estimate how many bottles you have to sell to generate the profit you want.

8- Relativity

Relativity opened the door to understanding – be it our understanding of the outer space or the speed of light. It provided us with the idea that light speed is universal but the time factor is different for the speed of people or objects. Relativity helped us understand the fate, structure, and the origin of the universe.

9- Schrodinger’s Equation

The behavior of atomic and subatomic particle is defined by Schrodinger’s Equation. It enhance the understanding of quantum physics hence played a huge role in the development of computing devices. Computational chemistry is the direct application of Schrödinger equation and it is currently being used in medication and engineered food.

10- Second Law of Thermodynamics

According to the second law of thermodynamics, heat flow from hot to cold environment due to the change in temperature. This is the concept used in the working of internal combustion engines used in airplane, ship, car, and motorcycles. The law is applicable to all engine cycles and led to the progress of modern vehicles.

11- The Pythagorean Theorem

Whenever you need to find out if a triangle in acute, right-angled, or obtuse – you can use Pythagoras theorem for that. It made the life of mathematicians easier as it help them to find the missing length of any side of a triangle.

12- The square root of -1

The square root of -1 = I, this process gave rise to complex numbers that are supremely elegant. In case an equation have complex number solution, it will represented by ‘I’. With the help of this equation, mathematicians were able to find symmetries and the properties of the number which are implemented in signal processing and electronics.

13- Wave Equation

Wave equation as the name indicates describe the behavior of waves along with ripples, guitar strings, and incandescent bulb light. It is one of the first differential equations that helped us understand other differential equations as well.

The world of mathematics is abundant with equations that helped us revolutionize the world as we know it today. We were not only able to understand the concept behind natural phenomenon ut also manipulate them for the modern advancement. These were just the few examples, stay tuned to know more!

Asians Are Good At Math – Reality, Myth, Or Plain Racism?

From mathematic to biology, from chemistry to physics, from theoretical to practical interventions – Asians are making their mark and it’s high time you start thinking how? Ever noticed a pattern in the results of any mathematic contest? Ever wondered why there are so many research papers being submitted by Asian countries? No, well you are not the first one to ignore this. We have been so used to celebrate the inventions of western scientist that we got used to the idea that all inventions are western.

Most of the time we ignore the fact that we are not making as much progress in the scientific world as our Asian counterparts and this is base of our problem. What could have been a healthy competition has turned into blatant ignorance. In case the achievement of the Asian professionals are highlight – they are mostly tainted with racism. Yes – I final said the word. With the recent stark evidences, we cannot ignore the fact that we still don’t have a cure for racism in our society.

Let me give you a recent example. The cases of Covid – 19 were first reported in Wuhan, China. It shake the basis of world economy. China was the first country to report the virus and the first to control it. Now as we are dealing with the consequences associated with the spread of Covid – 19 such as loosing job, poverty, deaths and much more – how many of us are thinking about how china was able to control it. Let’s just think about it, with the hub of virus, the largest population of the world was able to defeat a virus they don’t know much about. The answer to this question in strict control as well as intensive research. With the threat came the approach to solve it, from total shut down to multiple therapeutical approaches – China defeated the virus while we are still living under the protection of masks and calling Covid – 19 the Chinese virus.

When we go through the scores of different countries in math contests – Asians are performing better. They are academically better and have a stronger grasp of the concept. The reason of this outstanding performance if not limited to a single factor rather it is a combination of various factors that work together to make Asians better. The first factor is old and simple hard work – Asian are known to be hard worker. With centuries of oppression and being undervalued, they had to work extra hard to make their make and thus they embrace the quote that ‘hard work pays off’. In most of the international tests, a student have to fill a detailed questionnaire and by detailed I mean around 100 questions, with persistence and hard work Asians attempt those questions while western student gets bored and leave the questions unanswered. This is a clear example of the importance of persistence, concentration, and hard work in action.

The second factor is the parental involvement in the choice of academic career. Even though there is an ongoing debate about different parenting styles, it seems that Asians are doing something right! They have a significant role in the academic choices of their children. With the efforts of first few years when parent are teaching their children the basis of academics like alphabet and counting, they shape the mind of the child to put extra effort in the academics.

Another reason of Asians better in math is based on simple logic – they don’t get as much vacations as we do. A Japanese school year us 243 days long, the South Korean is 220, while the average American school years is just 180 days long. With longer school years, there is increased chances of learning something new. Even if the children are not learning anything new, they are revising what they have learned previously and hence they are getting better and better every day & there are more than 50 days of getting better each year!

Another reason for Asians being good at math is their numbers are easier. Take the example of this sequence, 4, 8, 5, 3, 9, 7, 6. Human have a 2 second span of memorizing the digits. If you speak English you are going to recall this number sequence right 50% of the time – if you are Chinese, you are going to get it right every time.
yī = one
èr. = two
sān. = three
sì = four
wǔ = five
liù = six
qī = seven
bā = eight

As we most easily memorize whatever we can say or read within that two-second span, you can learn the digits easily. Chinese digits are brief so they fit into 2 second memory loop and help you get them right every time! These are the facts that make Asian better in math and other subject. So the next time you want hear someone throwing a racist statement away at Asian – tell them what they are doing wrong and how they can get better too. After all tolerance and information is the only way out of this dire times.