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Complex Numbers
Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.




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February 1, 2019 at 12:32am
February 1, 2019 at 12:32am
#950876
https://www.tripsavvy.com/quebec-winter-carnival-1481819

What You Need to Know About Winter Carnival in Quebec

It's in the winter and it's in Quebec. That's all I need to know. But let's find out more anyway.

The Quebec Winter Carnival brings Quebec City alive with sub-zero merry-making...

NOPE



...giving Quebeckers and thousands of visitors a reason to celebrate during the cold, snowy winters...

NOPE


No sense in fighting the cold—embrace and celebrate it.

NOPE


most every Carnival event is outdoors, so pack and dress appropriately

NOPE


Sub-zero temperatures, bitter winds, and nighttime activities mean visitors should bring...

NOPE


Though some carnival events, like the canoe race across the St. Lawrence River or the night parade 500, may require you to stand outside for long periods of time.

NOPE NOPE NOPE


The zip line

NOPE


night parades

NOPE


slide runs

NOPE


concerts

NOPE


snow sculptures

NOPE


sleigh or dogsled rides

NOPE


Ice Palace and skating are among the many activities offered

NOPITY NOPE NOPE NOPE


Ice cleats, which can usually be strapped to your shoes or boots, may also come in handy.

NOPE



Canada, I love you, but we need to talk about this thing you have for the cold.

Hey, Elle - on hiatus Author Icon, any summer activities in New Zealand I can fly to?


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