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Complex Numbers Moduli Problem
- Thread starter SamitC
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In summary, complex numbers are numbers that contain both real and imaginary parts and are written in the form a + bi. The modulus of a complex number is its distance from the origin on the complex plane and is found by taking the square root of the sum of the squares of the real and imaginary parts. To solve a complex numbers moduli problem, you first find the modulus of each number and then use algebraic operations to manipulate them. Complex numbers moduli are important in various scientific fields and can have negative values depending on their position on the complex plane.
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BvU
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Let me guess: the triangle thing has something like ## |\vec a+\vec b|\le |\vec a|+|\vec b| ## ?
And how does that tranlate to complexe numbers ?
And how does that tranlate to complexe numbers ?
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SamitC
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BvU
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Well, you got away betting on two horses there ... 
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SamitC
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Yep...it was very urgent :)BvU said:Well, you got away betting on two horses there ...
1. What are complex numbers?
Complex numbers are numbers that contain both a real part and an imaginary part. They are written in the form a + bi, where a is the real part and bi is the imaginary part with the letter i representing the square root of -1.
2. What are moduli in complex numbers?
The modulus of a complex number is its distance from the origin on the complex plane. It is calculated by taking the square root of the sum of the squares of the real and imaginary parts of the number.
3. How do you solve a complex numbers moduli problem?
To solve a complex numbers moduli problem, you first need to find the modulus of each complex number in the problem. Then, you can use basic algebraic operations such as addition, subtraction, multiplication, and division to manipulate the numbers and solve for the desired value.
4. What is the significance of complex numbers moduli in science?
Complex numbers moduli are used in various scientific fields such as physics, engineering, and signal processing to represent and analyze quantities that have both real and imaginary components. They are also essential in solving mathematical problems involving geometry and trigonometry.
5. Can complex numbers moduli have negative values?
Yes, complex numbers moduli can have negative values since they represent distances on the complex plane. Just like how distances on a number line can be negative, the modulus of a complex number can also be negative depending on its position on the complex plane.
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