Our students come to HKCC to learn about the curriculums we offer, but they leave with much more than just that. They develop the skills they’ll need to fully appreciate the world around them. This is true for all of the courses available, including some that appear difficult to apply in the real world, such as complex numbers in mathematics.
What is the definition of a complex number?
A real number is a value of a continuous quantity that can indicate a distance along a line in mathematics. An ‘imaginary’ number is one that produces a negative value when squared. This indicates that the number is the square root of a negative number and has no monetary worth. They’re known as ‘imaginary numbers’ because of this. Although they are not real numbers in the sense that they cannot be quantified on a number line, they are quite real in the sense that they exist and are utilized in mathematics. Complex numbers are a collection of real and ‘imaginary numbers that are used in real-life scenarios on a daily basis.
What are the Applications of Complex Numbers?
In the actual world, imaginary numbers and the complex numbers they assist define are extremely valuable. In physics, engineering, number theory, and geometry, they have a significant impact. Complex numbers are used to measure something that relies on a sine or cosine wave. Electricians rely on them to comprehend the electrical waves that power our homes and businesses, as well as the signals we use on our phones to communicate with our pals.
Because complex numbers are the language of alternating current (AC) electronics, they are also used to understand modern technological devices. Using imaginary currents in conjunction with real values allows persons working with AC power to perform computations without risking electrocution. Because manufacturers comprehend the language of transistors and microchips – thanks to complex number applications – knowing these complex numbers helps us to keep employing smaller devices with even more power. Wireless technology, which we all rely on for internet access, and even deciphering the scans doctors perform in hospitals are examples of things that require a comprehensive understanding of numbers.
Quantum physics makes extensive use of complex numbers. They aid scientists in the simulation of periodic motions like water and light waves. Understanding complex numbers aids governments in keeping their citizens safe by allowing them to evaluate data about how earthquakes shake buildings, allowing them to better understand how to construct earthquake-resistant structures. Weather forecasters employ mathematical theories on which forecasting models are built, so they can even tell us if we should wear a raincoat when we go outside. Complex numbers have crept into almost every aspect of our modern existence. In fact, you wouldn’t be able to read this blog on a computer if you didn’t use them to calculate various circuit theories.