#upper limits

What I Learned in February

Well, it wasn’t as successful as last month – by a long shot. I had a few lovely days off to hang out with visitors (reading under palm trees, gorging on delicious food, and wearing myself out with pool games) followed by a week of not as much fun when the builders came and tore out two of our bathrooms. I was locked in the living room with a meowing cat for five days, one of which was my…

I attempted 4 routes! Two 5.7 and two 5.8. I "sent" my first 5.7 route attempt without any "takes" or falls, and took one "take" on the other 5.7, One 5.8 I couldn't finish, and the other one I finished with a few falls and takes.  I was trying to learn all the lingo I could while I was there. So I might actually be able to understand some of the things my sister talks about now. Definitely make this a thing.

In mathematics there are various types of numbers on our real number line like natural numbers, rational numbers, irrational numbers, whole numbers, prime numbers, integers, even and odd numbers, etc and we can see all these numbers on the coordinate plane  but there are numbers like complex numbers and imaginary numbers which are not visible in the coordinate plane. Complex numbers have their own plane called complex plane where they can be located.

An imaginary number is occurs when squared gives a negative result or less than zero and sometimes it can also be a zero. (know more about Imaginary number, here)

We can also say that an imaginary number is nothing but a real number multiplied with the imaginary unit denoted by ‘i’ because according to the property i squared is equal to -1.

For instance, √-4 is an imaginary number as the square of this number is negative that is -4 but as we know that the i2 = -1, therefore, i = √-1, so one can just take out the number from the root and replace the √-1 with the imaginary unit ‘i’. Hence, we can also write √-4 as 2i.

Complex numbers and imaginary numbers are related as when an imaginary number bi is added with a real number a, it becomes a complex number : a + bi, where a is called as the real part of the complex number and bi is the imaginary part of the complex number. And a and b are real numbers.

So we can say that an imaginary number can be defined as a complex number whose real part is zero.

Imaginary numbers play a very significant role in science, physics, engineering and many other important areas.