The equation was named "the most beautiful in the world."

🌌 the equation called "the most beautiful in the world," not just because of its looks...

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But because it combines the 5 most important constants of mathematics in one line,

And this is the story of it.

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If we talk about mathematics, the image in many people's heads may be full of complex formulas, divine calculus, or equations that have to be solved in many lines.

But do you know...

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📌 in the mathematician world, there is an equation that is considered "the most beautiful in the world."

A very short equation - just one line.

But it includes the five most important constants of the mathematical universe.

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And that equation is...

e ^ (iπ) + 1 = 0

Also known as

"Euler's Identity" (Euler's Identity)

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🧠 Behind the "most magnificent" equation in the world.

Back in 1748 or late Sriyutthaya,

There was a man named Leonhard Euler.

A Swiss mathematician who deposited works in virtually every branch of mathematics.

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He has published an important book called

"Introduction to the Analysis of the Infinite."

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Within chapter 8 of this book,

He proposed one equation called Euler's Formula:

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e ^ (iπ) = cos (x) + isin (x)

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And when x = π is substituted

Will get the last equation that becomes a legend:

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e ^ (iπ) + 1 = 0

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✨ Splendor lies not in appearance, but in "connection."

Euler's Identity is like a mathematical poem.

Because it connects the five most important symbols in the industry:

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1️⃣ pi (π = 3.141....) constants with infinite decimals that form the foundation to various circular relationships.

2️⃣ e (e = 2.718....Euler's number is another value that is infinite in direction, and a number that mathematically uses often without losing the value of the pie.

3️⃣ i, or the mental unit, is called the mental unit because i is equal to √-1, which is not defined in the real world (you can see that i ² = -1, which is no value in the real number system that is squared and negative).

4️⃣ 0, a number that, when "added" to any number, will give the same result, or maybe 0 is the identity of addition.

5️⃣ 1 number that, when multiplied by any number, will work out, so that 1 is the identity of multiplication.

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💬 Why do mathematicians love this equation?

Richard Feynman

The Nobel Prize-winning physicist once said that this equation is

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"The gem of math."

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Because it connects the world of

Imaginary number (i)

P number (π)

Euler number (e)

With zero (0) and one (1) in harmony.

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It's an equation that "shouldn't exist" in general.

But it "exists" and works in many fields.

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⚙️ What about the engineer?

This equation is not only in textbooks.

But it is used in a variety of fields of engineering, such as:

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📡 Signal Processing - Converting the signal into a complex form.

🎧 system vibrations - e.g. sound, waves, vibrations.

⚡ Electrical and Circuit Engineering - Fourier Analysis (Fourier)

📈 Solving Differential Equations - Essential to Control Systems

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If you study engineering and have encountered the words phasor, Fourier, Laplace, or resonance

Assured to be walking unknowingly close to Euler's Identity.

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📌 Conclusion: Why should "this equation" be remembered?

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This equation teaches us "simplicity."

Might hide more "depth" than we thought.

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In an age when engineers have to deal with a lot of data,

Understanding the essence of something small like this equation

It can inspire us to "learn deeper and love math."

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💬 If anyone has ever been discouraged by calculus or thought mathematics was difficult to understand,

Look at this equation and ask yourself...

"This could be another side of math we haven't seen."

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📤 Share this article with friends who study engineering together.

Because "calculus is not always cruel... if we know the angles that are beautiful," 😊

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# Engineering # Engineering # Calculus